0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.13 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.0MiHTg2JYA 0.13/0.35 % Computer : n016.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 180 0.13/0.35 % DateTime : Thu Aug 29 10:45:08 EDT 2019 0.13/0.35 % CPUTime : 12.93/13.17 % Running portfolio for 180 s 12.93/13.17 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 12.93/13.17 % TempDir : /export/starexec/sandbox/tmp/tmp.0MiHTg2JYA 12.93/13.17 % Recognized as monomorphic HO. 12.93/13.17 % Running /export/starexec/sandbox/solver/bin/competitive.sh for 18 12.93/13.17 % Solved by: competitive.sh 12.93/13.17 % done 1221 iterations in 12.618s 12.93/13.17 % hashcons stats for terms: size 13837, num 78820, sum length 119925, buckets: small 0, median 7, big 22 12.93/13.17 % proof state stats: {active 360, passive 17127, simpl 0} 12.93/13.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 12.93/13.17 % SZS output start Refutation 12.93/13.17 tff(breln1compset, axiom, breln1compset() = 12.93/13.17 ^[A,R,S]: 12.93/13.17 dpsetconstr(A,A, 12.93/13.17 ^[Xx,Xy]: 12.93/13.17 (?[Xz]: 12.93/13.17 (in(kpair(Xz,Xy),S) & in(kpair(Xx,Xz),R) & in(Xz,A))))). 12.93/13.17 tff('0', plain, 12.93/13.17 breln1compset = 12.93/13.17 (^[V_1,V_2,V_3]: 12.93/13.17 dpsetconstr(V_1,V_1, 12.93/13.17 ^[V_4,V_5]: 12.93/13.17 (?[X2]: 12.93/13.17 (in(kpair(X2,V_5),V_3) & in(kpair(V_4,X2),V_2) & 12.93/13.17 in(X2,V_1))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(breln1invE, axiom, breln1invE <=> 12.93/13.17 (![A,R]: 12.93/13.17 (breln1(A,R) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (![Xy]: 12.93/13.17 (in(Xy,A) => 12.93/13.17 (in(kpair(Xy,Xx),breln1invset(A,R)) => in(kpair(Xx,Xy),R))))))))). 12.93/13.17 tff('1', plain, 12.93/13.17 breln1invE = 12.93/13.17 (![X2,X3]: 12.93/13.17 (breln1(X2,X3) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,X2) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (in(kpair(X5,X4),breln1invset(X2,X3)) => in(kpair(X4,X5),X3)))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(breln1invI, axiom, breln1invI <=> 12.93/13.17 (![A,R]: 12.93/13.17 (breln1(A,R) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (![Xy]: 12.93/13.17 (in(Xy,A) => 12.93/13.17 (in(kpair(Xx,Xy),R) => in(kpair(Xy,Xx),breln1invset(A,R)))))))))). 12.93/13.17 tff('2', plain, 12.93/13.17 breln1invI = 12.93/13.17 (![X2,X3]: 12.93/13.17 (breln1(X2,X3) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,X2) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (in(kpair(X4,X5),X3) => in(kpair(X5,X4),breln1invset(X2,X3))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(breln1invprop, axiom, breln1invprop <=> 12.93/13.17 (![A,R]: (breln1(A,R) => breln1(A,breln1invset(A,R))))). 12.93/13.17 tff('3', plain, 12.93/13.17 breln1invprop = 12.93/13.17 (![X2,X3]: (breln1(X2,X3) => breln1(X2,breln1invset(X2,X3)))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(eqbreln1, axiom, eqbreln1 <=> 12.93/13.17 (![A,R]: 12.93/13.17 (breln1(A,R) => 12.93/13.17 (![S]: 12.93/13.17 (breln1(A,S) => 12.93/13.17 ((![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (![Xy]: 12.93/13.17 (in(Xy,A) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 12.93/13.17 ((![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (![Xy]: 12.93/13.17 (in(Xy,A) => (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),R)))))) => 12.93/13.17 (R = S)))))))). 12.93/13.17 tff('4', plain, 12.93/13.17 eqbreln1 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (breln1(X2,X3) => 12.93/13.17 (![X4]: 12.93/13.17 (breln1(X2,X4) => 12.93/13.17 ((![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (![X6]: 12.93/13.17 (in(X6,X2) => 12.93/13.17 (in(kpair(X5,X6),X3) => in(kpair(X5,X6),X4)))))) => 12.93/13.17 ((![X7]: 12.93/13.17 (in(X7,X2) => 12.93/13.17 (![X8]: 12.93/13.17 (in(X8,X2) => 12.93/13.17 (in(kpair(X7,X8),X4) => in(kpair(X7,X8),X3)))))) => 12.93/13.17 (X3 = X4))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(subbreln1, axiom, subbreln1 <=> 12.93/13.17 (![A,R]: 12.93/13.17 (breln1(A,R) => 12.93/13.17 (![S]: 12.93/13.17 (breln1(A,S) => 12.93/13.17 ((![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (![Xy]: 12.93/13.17 (in(Xy,A) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 12.93/13.17 subset(R,S))))))). 12.93/13.17 tff('5', plain, 12.93/13.17 subbreln1 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (breln1(X2,X3) => 12.93/13.17 (![X4]: 12.93/13.17 (breln1(X2,X4) => 12.93/13.17 ((![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (![X6]: 12.93/13.17 (in(X6,X2) => 12.93/13.17 (in(kpair(X5,X6),X3) => in(kpair(X5,X6),X4)))))) => 12.93/13.17 subset(X3,X4)))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(breln1all1, axiom, breln1all1 <=> 12.93/13.17 (![A,R]: 12.93/13.17 (breln1(A,R) => 12.93/13.17 (![Xphi:($i > $o)]: 12.93/13.17 ((![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (![Xy]: 12.93/13.17 (in(Xy,A) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 12.93/13.17 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 12.93/13.17 tff('6', plain, 12.93/13.17 breln1all1 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (breln1(X2,X3) => 12.93/13.17 (![X4:($i > $o)]: 12.93/13.17 ((![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (![X6]: 12.93/13.17 (in(X6,X2) => (in(kpair(X5,X6),X3) => X4(kpair(X5,X6))))))) => 12.93/13.17 (![X7]: (in(X7,X3) => X4(X7))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(setOfPairsIsBReln1, axiom, setOfPairsIsBReln1 <=> 12.93/13.17 (![A,Xphi:(($i * $i) > $o)]: 12.93/13.17 breln1(A,dpsetconstr(A,A,^[Xx,Xy]: Xphi(Xx,Xy))))). 12.93/13.17 tff('7', plain, 12.93/13.17 setOfPairsIsBReln1 = 12.93/13.17 (![X2,X3:(($i * $i) > $o)]: 12.93/13.17 breln1(X2,dpsetconstr(X2,X2,^[V_1,V_2]: X3(V_1,V_2)))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(choice2fnsingleton, axiom, choice2fnsingleton <=> 12.93/13.17 (![A,B,Xphi:(($i * $i) > $o)]: 12.93/13.17 ((![Xx]: (in(Xx,A) => (?[Xy]: (Xphi(Xx,Xy) & in(Xy,B))))) => 12.93/13.17 (![R]: 12.93/13.17 (in(R,breln1Set(B)) => 12.93/13.17 (reflwellordering(B,R) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 singleton(dsetconstr(B, 12.93/13.17 ^[Xy]: 12.93/13.17 ((![Xz]: 12.93/13.17 (in(Xz,B) => 12.93/13.17 (Xphi(Xx,Xz) => in(kpair(Xy,Xz),R)))) & 12.93/13.17 Xphi(Xx,Xy)))))))))))). 12.93/13.17 tff('8', plain, 12.93/13.17 choice2fnsingleton = 12.93/13.17 (![X2,X3,X4:(($i * $i) > $o)]: 12.93/13.17 ((![X5]: (in(X5,X2) => (?[X6]: (X4(X5,X6) & in(X6,X3))))) => 12.93/13.17 (![X7]: 12.93/13.17 (in(X7,breln1Set(X3)) => 12.93/13.17 (reflwellordering(X3,X7) => 12.93/13.17 (![X8]: 12.93/13.17 (in(X8,X2) => 12.93/13.17 singleton(dsetconstr(X3, 12.93/13.17 ^[V_1]: 12.93/13.17 ((![X9]: 12.93/13.17 (in(X9,X3) => 12.93/13.17 (X4(X8,X9) => 12.93/13.17 in(kpair(V_1,X9),X7)))) & 12.93/13.17 X4(X8,V_1))))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(breln1SetBreln1, axiom, breln1SetBreln1 <=> 12.93/13.17 (![A,R]: (in(R,breln1Set(A)) => breln1(A,R)))). 12.93/13.17 tff('9', plain, 12.93/13.17 breln1SetBreln1 = (![X2,X3]: (in(X3,breln1Set(X2)) => breln1(X2,X3))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(breln1all2, axiom, breln1all2 <=> 12.93/13.17 (![A,R]: 12.93/13.17 (breln1(A,R) => 12.93/13.17 (![Xphi:($i > $o)]: 12.93/13.17 ((![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (![Xy]: 12.93/13.17 (in(Xy,A) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 12.93/13.17 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 12.93/13.17 tff('10', plain, 12.93/13.17 breln1all2 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (breln1(X2,X3) => 12.93/13.17 (![X4:($i > $o)]: 12.93/13.17 ((![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (![X6]: 12.93/13.17 (in(X6,X2) => (in(kpair(X5,X6),X3) => X4(kpair(X5,X6))))))) => 12.93/13.17 (![X7]: (in(X7,X3) => X4(X7))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(breln1, axiom, breln1() = ^[A,R]: breln(A,A,R)). 12.93/13.17 tff('11', plain, breln1 = (^[V_1,V_2]: breln(V_1,V_1,V_2)), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(woz1_5, axiom, woz1_5 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 in(setminus(A,binunion(X,Y)),powerset(setminus(A,X)))))))). 12.93/13.17 tff('12', plain, 12.93/13.17 woz1_5 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 in(setminus(X2,binunion(X3,X4)),powerset(setminus(X2,X3))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(woz1_4, axiom, woz1_4 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X)))))))). 12.93/13.17 tff('13', plain, 12.93/13.17 woz1_4 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (subset(X3,setminus(X2,X4)) => subset(X4,setminus(X2,X3))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(woz1_3, axiom, woz1_3 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Z]: 12.93/13.17 (in(Z,powerset(A)) => 12.93/13.17 in(binintersect(X,Y), 12.93/13.17 powerset(binintersect(binunion(X,Z),binunion(Y,Z))))))))))). 12.93/13.17 tff('14', plain, 12.93/13.17 woz1_3 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,powerset(X2)) => 12.93/13.17 in(binintersect(X3,X4), 12.93/13.17 powerset(binintersect(binunion(X3,X5),binunion(X4,X5)))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(woz1_2, axiom, woz1_2 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Z]: 12.93/13.17 (in(Z,powerset(A)) => 12.93/13.17 (![W]: 12.93/13.17 (in(W,powerset(A)) => 12.93/13.17 (setminus(A,binintersect(binunion(X,Y),binunion(Z,W))) = 12.93/13.17 binunion(binintersect(setminus(A,X),setminus(A,Y)), 12.93/13.17 binintersect(setminus(A,Z),setminus(A,W))))))))))))). 12.93/13.17 tff('15', plain, 12.93/13.17 woz1_2 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,powerset(X2)) => 12.93/13.17 (![X6]: 12.93/13.17 (in(X6,powerset(X2)) => 12.93/13.17 (setminus(X2, 12.93/13.17 binintersect(binunion(X3,X4),binunion(X5,X6))) = 12.93/13.17 binunion(binintersect(setminus(X2,X3),setminus(X2,X4)), 12.93/13.17 binintersect(setminus(X2,X5),setminus(X2,X6)))))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(woz1_1, axiom, woz1_1 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 in(setminus(A,X),powerset(setminus(A,binintersect(X,Y))))))))). 12.93/13.17 tff('16', plain, 12.93/13.17 woz1_1 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 in(setminus(X2,X3),powerset(setminus(X2,binintersect(X3,X4)))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(woz13rule4, axiom, woz13rule4 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Z]: 12.93/13.17 (in(Z,powerset(A)) => 12.93/13.17 (![W]: 12.93/13.17 (in(W,powerset(A)) => 12.93/13.17 (subset(X,Z) => 12.93/13.17 (subset(Y,W) => 12.93/13.17 subset(binintersect(X,Y),binintersect(Z,W))))))))))))). 12.93/13.17 tff('17', plain, 12.93/13.17 woz13rule4 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,powerset(X2)) => 12.93/13.17 (![X6]: 12.93/13.17 (in(X6,powerset(X2)) => 12.93/13.17 (subset(X3,X5) => 12.93/13.17 (subset(X4,X6) => 12.93/13.17 subset(binintersect(X3,X4),binintersect(X5,X6)))))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(woz13rule3, axiom, woz13rule3 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Z]: 12.93/13.17 (in(Z,powerset(A)) => 12.93/13.17 (subset(X,Y) => (subset(X,Z) => subset(X,binintersect(Y,Z))))))))))). 12.93/13.17 tff('18', plain, 12.93/13.17 woz13rule3 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,powerset(X2)) => 12.93/13.17 (subset(X3,X4) => 12.93/13.17 (subset(X3,X5) => subset(X3,binintersect(X4,X5)))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(woz13rule2, axiom, woz13rule2 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Z]: 12.93/13.17 (in(Z,powerset(A)) => 12.93/13.17 (subset(Y,Z) => subset(binintersect(X,Y),Z))))))))). 12.93/13.17 tff('19', plain, 12.93/13.17 woz13rule2 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,powerset(X2)) => 12.93/13.17 (subset(X4,X5) => subset(binintersect(X3,X4),X5)))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(woz13rule1, axiom, woz13rule1 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Z]: 12.93/13.17 (in(Z,powerset(A)) => 12.93/13.17 (subset(X,Z) => subset(binintersect(X,Y),Z))))))))). 12.93/13.17 tff('20', plain, 12.93/13.17 woz13rule1 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,powerset(X2)) => 12.93/13.17 (subset(X3,X5) => subset(binintersect(X3,X4),X5)))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(woz13rule0, axiom, woz13rule0 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: (in(Xx,binintersect(X,Y)) => in(Xx,A)))))))). 12.93/13.17 tff('21', plain, 12.93/13.17 woz13rule0 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: (in(X5,binintersect(X3,X4)) => in(X5,X2))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(demorgan2, axiom, demorgan2 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (setminus(A,binunion(X,Y)) = 12.93/13.17 binintersect(setminus(A,X),setminus(A,Y)))))))). 12.93/13.17 tff('22', plain, 12.93/13.17 demorgan2 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (setminus(X2,binunion(X3,X4)) = 12.93/13.17 binintersect(setminus(X2,X3),setminus(X2,X4))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(demorgan2b, axiom, demorgan2b <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (in(Xx,binintersect(setminus(A,X),setminus(A,Y))) => 12.93/13.17 in(Xx,setminus(A,binunion(X,Y))))))))))). 12.93/13.17 tff('23', plain, 12.93/13.17 demorgan2b = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (in(X5,binintersect(setminus(X2,X3),setminus(X2,X4))) => 12.93/13.17 in(X5,setminus(X2,binunion(X3,X4)))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(demorgan2b2, axiom, demorgan2b2 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (in(Xx,setminus(A,X)) => 12.93/13.17 (in(Xx,setminus(A,Y)) => in(Xx,setminus(A,binunion(X,Y)))))))))))). 12.93/13.17 tff('24', plain, 12.93/13.17 demorgan2b2 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (in(X5,setminus(X2,X3)) => 12.93/13.17 (in(X5,setminus(X2,X4)) => 12.93/13.17 in(X5,setminus(X2,binunion(X3,X4))))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(demorgan2a, axiom, demorgan2a <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (in(Xx,setminus(A,binunion(X,Y))) => 12.93/13.17 in(Xx,binintersect(setminus(A,X),setminus(A,Y))))))))))). 12.93/13.17 tff('25', plain, 12.93/13.17 demorgan2a = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (in(X5,setminus(X2,binunion(X3,X4))) => 12.93/13.17 in(X5,binintersect(setminus(X2,X3),setminus(X2,X4)))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(demorgan1, axiom, demorgan1 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (setminus(A,binintersect(X,Y)) = 12.93/13.17 binunion(setminus(A,X),setminus(A,Y)))))))). 12.93/13.17 tff('26', plain, 12.93/13.17 demorgan1 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (setminus(X2,binintersect(X3,X4)) = 12.93/13.17 binunion(setminus(X2,X3),setminus(X2,X4))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(demorgan1b, axiom, demorgan1b <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (in(Xx,binunion(setminus(A,X),setminus(A,Y))) => 12.93/13.17 in(Xx,setminus(A,binintersect(X,Y))))))))))). 12.93/13.17 tff('27', plain, 12.93/13.17 demorgan1b = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (in(X5,binunion(setminus(X2,X3),setminus(X2,X4))) => 12.93/13.17 in(X5,setminus(X2,binintersect(X3,X4)))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(demorgan1a, axiom, demorgan1a <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (in(Xx,setminus(A,binintersect(X,Y))) => 12.93/13.17 in(Xx,binunion(setminus(A,X),setminus(A,Y))))))))))). 12.93/13.17 tff('28', plain, 12.93/13.17 demorgan1a = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (in(X5,setminus(X2,binintersect(X3,X4))) => 12.93/13.17 in(X5,binunion(setminus(X2,X3),setminus(X2,X4)))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(demorgan2a2, axiom, demorgan2a2 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,Y)))))))))). 12.93/13.17 tff('29', plain, 12.93/13.17 demorgan2a2 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (in(X5,setminus(X2,binunion(X3,X4))) => 12.93/13.17 in(X5,setminus(X2,X4))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(complementUnionInPowersetComplement, axiom, 12.93/13.17 complementUnionInPowersetComplement <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 in(setminus(A,binunion(X,Y)),powerset(setminus(A,X)))))))). 12.93/13.17 tff('30', plain, 12.93/13.17 complementUnionInPowersetComplement = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 in(setminus(X2,binunion(X3,X4)),powerset(setminus(X2,X3))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(demorgan2a1, axiom, demorgan2a1 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,X)))))))))). 12.93/13.17 tff('31', plain, 12.93/13.17 demorgan2a1 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (in(X5,setminus(X2,binunion(X3,X4))) => 12.93/13.17 in(X5,setminus(X2,X3))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(binunionTEcontra, axiom, binunionTEcontra <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 ((~in(Xx,X)) => ((~in(Xx,Y)) => (~in(Xx,binunion(X,Y)))))))))))). 12.93/13.17 tff('32', plain, 12.93/13.17 binunionTEcontra = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 ((~in(X5,X3)) => ((~in(X5,X4)) => (~in(X5,binunion(X3,X4))))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(binunionTE, axiom, binunionTE <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xphi:$o,Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (in(Xx,binunion(X,Y)) => 12.93/13.17 ((in(Xx,X) => Xphi) => ((in(Xx,Y) => Xphi) => Xphi)))))))))). 12.93/13.17 tff('33', plain, 12.93/13.17 binunionTE = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5:$o,X6]: 12.93/13.17 (in(X6,X2) => 12.93/13.17 (in(X6,binunion(X3,X4)) => 12.93/13.17 ((in(X6,X3) => X5) => ((in(X6,X4) => X5) => X5))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(inComplementUnionImpInComplement1, axiom, 12.93/13.17 inComplementUnionImpInComplement1 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,X)))))))))). 12.93/13.17 tff('34', plain, 12.93/13.17 inComplementUnionImpInComplement1 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (in(X5,setminus(X2,binunion(X3,X4))) => 12.93/13.17 in(X5,setminus(X2,X3))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(inComplementUnionImpNotIn1, axiom, inComplementUnionImpNotIn1 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => (in(Xx,setminus(A,binunion(X,Y))) => (~in(Xx,X)))))))))). 12.93/13.17 tff('35', plain, 12.93/13.17 inComplementUnionImpNotIn1 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => 12.93/13.17 (in(X5,setminus(X2,binunion(X3,X4))) => (~in(X5,X3))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(intersectInPowersetIntersectUnions, axiom, 12.93/13.17 intersectInPowersetIntersectUnions <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Z]: 12.93/13.17 (in(Z,powerset(A)) => 12.93/13.17 in(binintersect(X,Y), 12.93/13.17 powerset(binintersect(binunion(X,Z),binunion(Y,Z))))))))))). 12.93/13.17 tff('36', plain, 12.93/13.17 intersectInPowersetIntersectUnions = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,powerset(X2)) => 12.93/13.17 in(binintersect(X3,X4), 12.93/13.17 powerset(binintersect(binunion(X3,X5),binunion(X4,X5)))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(inIntersectImpInIntersectUnions, axiom, 12.93/13.17 inIntersectImpInIntersectUnions <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Z]: 12.93/13.17 (in(Z,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (in(Xx,binintersect(X,Y)) => 12.93/13.17 in(Xx,binintersect(binunion(X,Z),binunion(Y,Z))))))))))))). 12.93/13.17 tff('37', plain, 12.93/13.17 inIntersectImpInIntersectUnions = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,powerset(X2)) => 12.93/13.17 (![X6]: 12.93/13.17 (in(X6,X2) => 12.93/13.17 (in(X6,binintersect(X3,X4)) => 12.93/13.17 in(X6,binintersect(binunion(X3,X5),binunion(X4,X5)))))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(inIntersectImpInUnion2, axiom, inIntersectImpInUnion2 <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Z]: 12.93/13.17 (in(Z,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (in(Xx,binintersect(X,Y)) => in(Xx,binunion(Y,Z)))))))))))). 12.93/13.17 tff('38', plain, 12.93/13.17 inIntersectImpInUnion2 = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,powerset(X2)) => 12.93/13.17 (![X6]: 12.93/13.17 (in(X6,X2) => 12.93/13.17 (in(X6,binintersect(X3,X4)) => in(X6,binunion(X4,X5))))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(inIntersectImpInUnion, axiom, inIntersectImpInUnion <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Z]: 12.93/13.17 (in(Z,powerset(A)) => 12.93/13.17 (![Xx]: 12.93/13.17 (in(Xx,A) => 12.93/13.17 (in(Xx,binintersect(X,Y)) => in(Xx,binunion(X,Z)))))))))))). 12.93/13.17 tff('39', plain, 12.93/13.17 inIntersectImpInUnion = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,powerset(X2)) => 12.93/13.17 (![X6]: 12.93/13.17 (in(X6,X2) => 12.93/13.17 (in(X6,binintersect(X3,X4)) => in(X6,binunion(X3,X5))))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(binunionTIRcontra, axiom, binunionTIRcontra <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,Y)))))))))). 12.93/13.17 tff('40', plain, 12.93/13.17 binunionTIRcontra = 12.93/13.17 (![X2,X3]: 12.93/13.17 (in(X3,powerset(X2)) => 12.93/13.17 (![X4]: 12.93/13.17 (in(X4,powerset(X2)) => 12.93/13.17 (![X5]: 12.93/13.17 (in(X5,X2) => ((~in(X5,binunion(X3,X4))) => (~in(X5,X4))))))))), 12.93/13.17 define([status(thm)])). 12.93/13.17 tff(binunionTILcontra, axiom, binunionTILcontra <=> 12.93/13.17 (![A,X]: 12.93/13.17 (in(X,powerset(A)) => 12.93/13.17 (![Y]: 12.93/13.17 (in(Y,powerset(A)) => 12.93/13.17 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,X)))))))))). 12.93/13.18 tff('41', plain, 12.93/13.18 binunionTILcontra = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => ((~in(X5,binunion(X3,X4))) => (~in(X5,X3))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(complementTcontraSubset, axiom, complementTcontraSubset <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X)))))))). 12.93/13.18 tff('42', plain, 12.93/13.18 complementTcontraSubset = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 (subset(X3,setminus(X2,X4)) => subset(X4,setminus(X2,X3))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(contraSubsetComplement, axiom, contraSubsetComplement <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 (subset(X,setminus(A,Y)) => 12.93/13.18 (![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,setminus(A,X))))))))))). 12.93/13.18 tff('43', plain, 12.93/13.18 contraSubsetComplement = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 (subset(X3,setminus(X2,X4)) => 12.93/13.18 (![X5]: (in(X5,X2) => (in(X5,X4) => in(X5,setminus(X2,X3)))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(complementInPowersetComplementIntersect, axiom, 12.93/13.18 complementInPowersetComplementIntersect <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 in(setminus(A,X),powerset(setminus(A,binintersect(X,Y))))))))). 12.93/13.18 tff('44', plain, 12.93/13.18 complementInPowersetComplementIntersect = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 in(setminus(X2,X3),powerset(setminus(X2,binintersect(X3,X4)))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(complementSubsetComplementIntersect, axiom, 12.93/13.18 complementSubsetComplementIntersect <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 subset(setminus(A,X),setminus(A,binintersect(X,Y)))))))). 12.93/13.18 tff('45', plain, 12.93/13.18 complementSubsetComplementIntersect = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 subset(setminus(X2,X3),setminus(X2,binintersect(X3,X4))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(complementImpComplementIntersect, axiom, 12.93/13.18 complementImpComplementIntersect <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 (![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (in(Xx,setminus(A,X)) => in(Xx,setminus(A,binintersect(X,Y))))))))))). 12.93/13.18 tff('46', plain, 12.93/13.18 complementImpComplementIntersect = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 (in(X5,setminus(X2,X3)) => 12.93/13.18 in(X5,setminus(X2,binintersect(X3,X4)))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(complementTnotintersectT, axiom, complementTnotintersectT <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 (![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (in(Xx,setminus(A,X)) => (~in(Xx,binintersect(X,Y))))))))))). 12.93/13.18 tff('47', plain, 12.93/13.18 complementTnotintersectT = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 (in(X5,setminus(X2,X3)) => (~in(X5,binintersect(X3,X4)))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(doubleComplementEq, axiom, doubleComplementEq <=> 12.93/13.18 (![A,X]: (in(X,powerset(A)) => (X = setminus(A,setminus(A,X)))))). 12.93/13.18 tff('48', plain, 12.93/13.18 doubleComplementEq = 12.93/13.18 (![X2,X3]: (in(X3,powerset(X2)) => (X3 = setminus(X2,setminus(X2,X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(doubleComplementSub2, axiom, doubleComplementSub2 <=> 12.93/13.18 (![A,X]: (in(X,powerset(A)) => subset(setminus(A,setminus(A,X)),X)))). 12.93/13.18 tff('49', plain, 12.93/13.18 doubleComplementSub2 = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => subset(setminus(X2,setminus(X2,X3)),X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(doubleComplementSub1, axiom, doubleComplementSub1 <=> 12.93/13.18 (![A,X]: (in(X,powerset(A)) => subset(X,setminus(A,setminus(A,X)))))). 12.93/13.18 tff('50', plain, 12.93/13.18 doubleComplementSub1 = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => subset(X3,setminus(X2,setminus(X2,X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(doubleComplementE1, axiom, doubleComplementE1 <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Xx]: (in(Xx,A) => (in(Xx,setminus(A,setminus(A,X))) => in(Xx,X))))))). 12.93/13.18 tff('51', plain, 12.93/13.18 doubleComplementE1 = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,X2) => (in(X4,setminus(X2,setminus(X2,X3))) => in(X4,X3)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(doubleComplementI1, axiom, doubleComplementI1 <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,setminus(A,setminus(A,X))))))))). 12.93/13.18 tff('52', plain, 12.93/13.18 doubleComplementI1 = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,X2) => (in(X4,X3) => in(X4,setminus(X2,setminus(X2,X3)))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(contrasubsetT3, axiom, contrasubsetT3 <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 (subset(setminus(A,Y),setminus(A,X)) => subset(X,Y))))))). 12.93/13.18 tff('53', plain, 12.93/13.18 contrasubsetT3 = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 (subset(setminus(X2,X4),setminus(X2,X3)) => subset(X3,X4)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(contrasubsetT2, axiom, contrasubsetT2 <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 (subset(X,Y) => subset(setminus(A,Y),setminus(A,X)))))))). 12.93/13.18 tff('54', plain, 12.93/13.18 contrasubsetT2 = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 (subset(X3,X4) => subset(setminus(X2,X4),setminus(X2,X3))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(contrasubsetT1, axiom, contrasubsetT1 <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 (![Xx]: (in(Xx,A) => (subset(X,Y) => ((~in(Xx,Y)) => (~in(Xx,X))))))))))). 12.93/13.18 tff('55', plain, 12.93/13.18 contrasubsetT1 = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 (subset(X3,X4) => ((~in(X5,X4)) => (~in(X5,X3)))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(contrasubsetT, axiom, contrasubsetT <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 (![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (subset(X,setminus(A,Y)) => (in(Xx,Y) => (~in(Xx,X))))))))))). 12.93/13.18 tff('56', plain, 12.93/13.18 contrasubsetT = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 (subset(X3,setminus(X2,X4)) => (in(X5,X4) => (~in(X5,X3)))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectTERcontra, axiom, binintersectTERcontra <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 (![Xx]: (in(Xx,A) => ((~in(Xx,Y)) => (~in(Xx,binintersect(X,Y))))))))))). 12.93/13.18 tff('57', plain, 12.93/13.18 binintersectTERcontra = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => ((~in(X5,X4)) => (~in(X5,binintersect(X3,X4)))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectTELcontra, axiom, binintersectTELcontra <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 (![Xx]: (in(Xx,A) => ((~in(Xx,X)) => (~in(Xx,binintersect(X,Y))))))))))). 12.93/13.18 tff('58', plain, 12.93/13.18 binintersectTELcontra = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => ((~in(X5,X3)) => (~in(X5,binintersect(X3,X4)))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(complementTE1, axiom, complementTE1 <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Xx]: (in(Xx,A) => ((~in(Xx,setminus(A,X))) => in(Xx,X))))))). 12.93/13.18 tff('59', plain, 12.93/13.18 complementTE1 = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: (in(X4,X2) => ((~in(X4,setminus(X2,X3))) => in(X4,X3)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(complementTI1, axiom, complementTI1 <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Xx]: (in(Xx,A) => (in(Xx,X) => (~in(Xx,setminus(A,X))))))))). 12.93/13.18 tff('60', plain, 12.93/13.18 complementTI1 = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: (in(X4,X2) => (in(X4,X3) => (~in(X4,setminus(X2,X3)))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(powersetTE1, axiom, powersetTE1 <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 (![Xx]: (in(Xx,A) => (in(X,powerset(Y)) => (in(Xx,X) => in(Xx,Y)))))))))). 12.93/13.18 tff('61', plain, 12.93/13.18 powersetTE1 = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 (in(X3,powerset(X4)) => (in(X5,X3) => in(X5,X4))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(powersetTI1, axiom, powersetTI1 <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => in(X,powerset(Y)))))))). 12.93/13.18 tff('62', plain, 12.93/13.18 powersetTI1 = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 ((![X5]: (in(X5,X2) => (in(X5,X3) => in(X5,X4)))) => 12.93/13.18 in(X3,powerset(X4))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(subsetTI, axiom, subsetTI <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y))))))). 12.93/13.18 tff('63', plain, 12.93/13.18 subsetTI = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 ((![X5]: (in(X5,X2) => (in(X5,X3) => in(X5,X4)))) => 12.93/13.18 subset(X3,X4)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setextT, axiom, setextT <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: 12.93/13.18 (in(Y,powerset(A)) => 12.93/13.18 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => 12.93/13.18 ((![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,X)))) => (X = Y)))))))). 12.93/13.18 tff('64', plain, 12.93/13.18 setextT = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,powerset(X2)) => 12.93/13.18 ((![X5]: (in(X5,X2) => (in(X5,X3) => in(X5,X4)))) => 12.93/13.18 ((![X6]: (in(X6,X2) => (in(X6,X4) => in(X6,X3)))) => (X3 = X4))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(complementT_lem, axiom, complementT_lem <=> 12.93/13.18 (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A))))). 12.93/13.18 tff('65', plain, 12.93/13.18 complementT_lem = 12.93/13.18 (![X2,X3]: (in(X3,powerset(X2)) => in(setminus(X2,X3),powerset(X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setminusT_lem, axiom, setminusT_lem <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: (in(Y,powerset(A)) => in(setminus(X,Y),powerset(A))))))). 12.93/13.18 tff('66', plain, 12.93/13.18 setminusT_lem = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: (in(X4,powerset(X2)) => in(setminus(X3,X4),powerset(X2)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(powersetT_lem, axiom, powersetT_lem <=> 12.93/13.18 (![A,X]: (in(X,powerset(A)) => in(powerset(X),powerset(powerset(A)))))). 12.93/13.18 tff('67', plain, 12.93/13.18 powersetT_lem = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => in(powerset(X3),powerset(powerset(X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binunionT_lem, axiom, binunionT_lem <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A))))))). 12.93/13.18 tff('68', plain, 12.93/13.18 binunionT_lem = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: (in(X4,powerset(X2)) => in(binunion(X3,X4),powerset(X2)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectT_lem, axiom, binintersectT_lem <=> 12.93/13.18 (![A,X]: 12.93/13.18 (in(X,powerset(A)) => 12.93/13.18 (![Y]: (in(Y,powerset(A)) => in(binintersect(X,Y),powerset(A))))))). 12.93/13.18 tff('69', plain, 12.93/13.18 binintersectT_lem = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,powerset(X2)) => 12.93/13.18 (![X4]: (in(X4,powerset(X2)) => in(binintersect(X3,X4),powerset(X2)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(iftrueorfalse, axiom, iftrueorfalse <=> 12.93/13.18 (![A,Xphi:$o,Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,A) => 12.93/13.18 in(if(A,Xphi,Xx,Xy),setadjoin(Xx,setadjoin(Xy,emptyset)))))))). 12.93/13.18 tff('70', plain, 12.93/13.18 iftrueorfalse = 12.93/13.18 (![X2,X3:$o,X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 in(if(X2,X3,X4,X5),setadjoin(X4,setadjoin(X5,emptyset))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(iffalse, axiom, iffalse <=> 12.93/13.18 (![A,Xphi:$o,Xx]: 12.93/13.18 (in(Xx,A) => (![Xy]: (in(Xy,A) => ((~Xphi) => (if(A,Xphi,Xx,Xy) = Xy))))))). 12.93/13.18 tff('71', plain, 12.93/13.18 iffalse = 12.93/13.18 (![X2,X3:$o,X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: (in(X5,X2) => ((~X3) => (if(X2,X3,X4,X5) = X5)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(iftrue, axiom, iftrue <=> 12.93/13.18 (![A,Xphi:$o,Xx]: 12.93/13.18 (in(Xx,A) => (![Xy]: (in(Xy,A) => (Xphi => (if(A,Xphi,Xx,Xy) = Xx))))))). 12.93/13.18 tff('72', plain, 12.93/13.18 iftrue = 12.93/13.18 (![X2,X3:$o,X4]: 12.93/13.18 (in(X4,X2) => (![X5]: (in(X5,X2) => (X3 => (if(X2,X3,X4,X5) = X4)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(theeq, axiom, theeq <=> 12.93/13.18 (![X]: (singleton(X) => (![Xx]: (in(Xx,X) => (setunion(X) = Xx)))))). 12.93/13.18 tff('73', plain, 12.93/13.18 theeq = 12.93/13.18 (![X2]: (singleton(X2) => (![X3]: (in(X3,X2) => (setunion(X2) = X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ifp, axiom, ifp <=> 12.93/13.18 (![A,Xphi:$o,Xx]: 12.93/13.18 (in(Xx,A) => (![Xy]: (in(Xy,A) => in(if(A,Xphi,Xx,Xy),A)))))). 12.93/13.18 tff('74', plain, 12.93/13.18 ifp = 12.93/13.18 (![X2,X3:$o,X4]: 12.93/13.18 (in(X4,X2) => (![X5]: (in(X5,X2) => in(if(X2,X3,X4,X5),X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ifSingleton, axiom, ifSingleton <=> 12.93/13.18 (![A,Xphi:$o,Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,A) => 12.93/13.18 singleton(dsetconstr(A, 12.93/13.18 ^[Xz]: 12.93/13.18 (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi))))))))). 12.93/13.18 tff('75', plain, 12.93/13.18 ifSingleton = 12.93/13.18 (![X2,X3:$o,X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 singleton(dsetconstr(X2, 12.93/13.18 ^[V_1]: 12.93/13.18 (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3)))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(iftrueProp2, axiom, iftrueProp2 <=> 12.93/13.18 (![A,Xphi:$o,Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,A) => 12.93/13.18 (Xphi => 12.93/13.18 (dsetconstr(A,^[Xz]: (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi))) = 12.93/13.18 setadjoin(Xx,emptyset)))))))). 12.93/13.18 tff('76', plain, 12.93/13.18 iftrueProp2 = 12.93/13.18 (![X2,X3:$o,X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 (X3 => 12.93/13.18 (dsetconstr(X2, 12.93/13.18 ^[V_1]: (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3))) = 12.93/13.18 setadjoin(X4,emptyset))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(iftrueProp1, axiom, iftrueProp1 <=> 12.93/13.18 (![A,Xphi:$o,Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,A) => 12.93/13.18 (Xphi => 12.93/13.18 in(Xx, 12.93/13.18 dsetconstr(A, 12.93/13.18 ^[Xz]: (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi)))))))))). 12.93/13.18 tff('77', plain, 12.93/13.18 iftrueProp1 = 12.93/13.18 (![X2,X3:$o,X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 (X3 => 12.93/13.18 in(X4, 12.93/13.18 dsetconstr(X2, 12.93/13.18 ^[V_1]: (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(iffalseProp2, axiom, iffalseProp2 <=> 12.93/13.18 (![A,Xphi:$o,Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,A) => 12.93/13.18 ((~Xphi) => 12.93/13.18 (dsetconstr(A,^[Xz]: (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi))) = 12.93/13.18 setadjoin(Xy,emptyset)))))))). 12.93/13.18 tff('78', plain, 12.93/13.18 iffalseProp2 = 12.93/13.18 (![X2,X3:$o,X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 ((~X3) => 12.93/13.18 (dsetconstr(X2, 12.93/13.18 ^[V_1]: (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3))) = 12.93/13.18 setadjoin(X5,emptyset))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(iffalseProp1, axiom, iffalseProp1 <=> 12.93/13.18 (![A,Xphi:$o,Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,A) => 12.93/13.18 ((~Xphi) => 12.93/13.18 in(Xy, 12.93/13.18 dsetconstr(A, 12.93/13.18 ^[Xz]: (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi)))))))))). 12.93/13.18 tff('79', plain, 12.93/13.18 iffalseProp1 = 12.93/13.18 (![X2,X3:$o,X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 ((~X3) => 12.93/13.18 in(X5, 12.93/13.18 dsetconstr(X2, 12.93/13.18 ^[V_1]: (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(eta2, axiom, eta2 <=> 12.93/13.18 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 12.93/13.18 tff('80', plain, 12.93/13.18 eta2 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,funcSet(X2,X3)) => (lam(X2,X3,^[V_1]: ap(X2,X3,X4,V_1)) = X4))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(beta2, axiom, beta2 <=> 12.93/13.18 (![A,B,Xf:($i > $i)]: 12.93/13.18 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 12.93/13.18 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 12.93/13.18 tff('81', plain, 12.93/13.18 beta2 = 12.93/13.18 (![X2,X3,X4:($i > $i)]: 12.93/13.18 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 12.93/13.18 (![X6]: 12.93/13.18 (in(X6,X2) => (ap(X2,X3,lam(X2,X3,^[V_1]: X4(V_1)),X6) = X4(X6)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(lam2lamEq, axiom, lam2lamEq <=> 12.93/13.18 (![A,B,Xf:($i > $i)]: 12.93/13.18 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 12.93/13.18 (lam(A,B,^[Xx]: Xf(Xx)) = lam(A,B,^[Xx]: Xf(Xx)))))). 12.93/13.18 tff('82', plain, 12.93/13.18 lam2lamEq = 12.93/13.18 (![X2,X3,X4:($i > $i)]: 12.93/13.18 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 12.93/13.18 (lam(X2,X3,^[V_1]: X4(V_1)) = lam(X2,X3,^[V_2]: X4(V_2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(eta1, axiom, eta1 <=> 12.93/13.18 (![A,B,Xf]: (func(A,B,Xf) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 12.93/13.18 tff('83', plain, 12.93/13.18 eta1 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (func(X2,X3,X4) => (lam(X2,X3,^[V_1]: ap(X2,X3,X4,V_1)) = X4))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(beta1, axiom, beta1 <=> 12.93/13.18 (![A,B,Xf:($i > $i)]: 12.93/13.18 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 12.93/13.18 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 12.93/13.18 tff('84', plain, 12.93/13.18 beta1 = 12.93/13.18 (![X2,X3,X4:($i > $i)]: 12.93/13.18 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 12.93/13.18 (![X6]: 12.93/13.18 (in(X6,X2) => (ap(X2,X3,lam(X2,X3,^[V_1]: X4(V_1)),X6) = X4(X6)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ap2apEq2, axiom, ap2apEq2 <=> 12.93/13.18 (![A,B,Xf]: 12.93/13.18 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 12.93/13.18 tff('85', plain, 12.93/13.18 ap2apEq2 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (func(X2,X3,X4) => 12.93/13.18 (![X5]: (in(X5,X2) => (ap(X2,X3,X4,X5) = ap(X2,X3,X4,X5)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ap2apEq1, axiom, ap2apEq1 <=> 12.93/13.18 (![A,B,Xf]: 12.93/13.18 (in(Xf,funcSet(A,B)) => 12.93/13.18 (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 12.93/13.18 tff('86', plain, 12.93/13.18 ap2apEq1 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,funcSet(X2,X3)) => 12.93/13.18 (![X5]: (in(X5,X2) => (ap(X2,X3,X4,X5) = ap(X2,X3,X4,X5)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(funcext2, axiom, funcext2 <=> 12.93/13.18 (![A,B,Xf]: 12.93/13.18 (in(Xf,funcSet(A,B)) => 12.93/13.18 (![Xg]: 12.93/13.18 (in(Xg,funcSet(A,B)) => 12.93/13.18 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 12.93/13.18 (Xf = Xg))))))). 12.93/13.18 tff('87', plain, 12.93/13.18 funcext2 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,funcSet(X2,X3)) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,funcSet(X2,X3)) => 12.93/13.18 ((![X6]: (in(X6,X2) => (ap(X2,X3,X4,X6) = ap(X2,X3,X5,X6)))) => 12.93/13.18 (X4 = X5)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(funcext, axiom, funcext <=> 12.93/13.18 (![A,B,Xf]: 12.93/13.18 (func(A,B,Xf) => 12.93/13.18 (![Xg]: 12.93/13.18 (func(A,B,Xg) => 12.93/13.18 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 12.93/13.18 (Xf = Xg))))))). 12.93/13.18 tff('88', plain, 12.93/13.18 funcext = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (func(X2,X3,X4) => 12.93/13.18 (![X5]: 12.93/13.18 (func(X2,X3,X5) => 12.93/13.18 ((![X6]: (in(X6,X2) => (ap(X2,X3,X4,X6) = ap(X2,X3,X5,X6)))) => 12.93/13.18 (X4 = X5)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(eqbreln, axiom, eqbreln <=> 12.93/13.18 (![A,B,R]: 12.93/13.18 (breln(A,B,R) => 12.93/13.18 (![S]: 12.93/13.18 (breln(A,B,S) => 12.93/13.18 ((![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 12.93/13.18 ((![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),R)))))) => 12.93/13.18 (R = S)))))))). 12.93/13.18 tff('89', plain, 12.93/13.18 eqbreln = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (breln(X2,X3,X4) => 12.93/13.18 (![X5]: 12.93/13.18 (breln(X2,X3,X5) => 12.93/13.18 ((![X6]: 12.93/13.18 (in(X6,X2) => 12.93/13.18 (![X7]: 12.93/13.18 (in(X7,X3) => 12.93/13.18 (in(kpair(X6,X7),X4) => in(kpair(X6,X7),X5)))))) => 12.93/13.18 ((![X8]: 12.93/13.18 (in(X8,X2) => 12.93/13.18 (![X9]: 12.93/13.18 (in(X9,X3) => 12.93/13.18 (in(kpair(X8,X9),X5) => in(kpair(X8,X9),X4)))))) => 12.93/13.18 (X4 = X5))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(subbreln, axiom, subbreln <=> 12.93/13.18 (![A,B,R]: 12.93/13.18 (breln(A,B,R) => 12.93/13.18 (![S]: 12.93/13.18 (breln(A,B,S) => 12.93/13.18 ((![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 12.93/13.18 subset(R,S))))))). 12.93/13.18 tff('90', plain, 12.93/13.18 subbreln = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (breln(X2,X3,X4) => 12.93/13.18 (![X5]: 12.93/13.18 (breln(X2,X3,X5) => 12.93/13.18 ((![X6]: 12.93/13.18 (in(X6,X2) => 12.93/13.18 (![X7]: 12.93/13.18 (in(X7,X3) => 12.93/13.18 (in(kpair(X6,X7),X4) => in(kpair(X6,X7),X5)))))) => 12.93/13.18 subset(X4,X5)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(funcGraphProp4, axiom, funcGraphProp4 <=> 12.93/13.18 (![A,B,Xf]: 12.93/13.18 (in(Xf,funcSet(A,B)) => 12.93/13.18 (![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 12.93/13.18 tff('91', plain, 12.93/13.18 funcGraphProp4 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,funcSet(X2,X3)) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 (![X6]: 12.93/13.18 (in(X6,X3) => (in(kpair(X5,X6),X4) => (ap(X2,X3,X4,X5) = X6)))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(funcextLem, axiom, funcextLem <=> 12.93/13.18 (![A,B,Xf]: 12.93/13.18 (func(A,B,Xf) => 12.93/13.18 (![Xg]: 12.93/13.18 (func(A,B,Xg) => 12.93/13.18 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 12.93/13.18 (![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => (in(kpair(Xx,Xy),Xg) => in(kpair(Xx,Xy),Xf)))))))))))). 12.93/13.18 tff('92', plain, 12.93/13.18 funcextLem = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (func(X2,X3,X4) => 12.93/13.18 (![X5]: 12.93/13.18 (func(X2,X3,X5) => 12.93/13.18 ((![X6]: (in(X6,X2) => (ap(X2,X3,X4,X6) = ap(X2,X3,X5,X6)))) => 12.93/13.18 (![X7]: 12.93/13.18 (in(X7,X2) => 12.93/13.18 (![X8]: 12.93/13.18 (in(X8,X3) => 12.93/13.18 (in(kpair(X7,X8),X5) => in(kpair(X7,X8),X4))))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(funcGraphProp2, axiom, funcGraphProp2 <=> 12.93/13.18 (![A,B,Xf]: 12.93/13.18 (func(A,B,Xf) => 12.93/13.18 (![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 12.93/13.18 tff('93', plain, 12.93/13.18 funcGraphProp2 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (func(X2,X3,X4) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 (![X6]: 12.93/13.18 (in(X6,X3) => (in(kpair(X5,X6),X4) => (ap(X2,X3,X4,X5) = X6)))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(funcGraphProp3, axiom, funcGraphProp3 <=> 12.93/13.18 (![A,B,Xf]: 12.93/13.18 (in(Xf,funcSet(A,B)) => 12.93/13.18 (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 12.93/13.18 tff('94', plain, 12.93/13.18 funcGraphProp3 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,funcSet(X2,X3)) => 12.93/13.18 (![X5]: (in(X5,X2) => in(kpair(X5,ap(X2,X3,X4,X5)),X4))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(funcGraphProp1, axiom, funcGraphProp1 <=> 12.93/13.18 (![A,B,Xf]: 12.93/13.18 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 12.93/13.18 tff('95', plain, 12.93/13.18 funcGraphProp1 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (func(X2,X3,X4) => 12.93/13.18 (![X5]: (in(X5,X2) => in(kpair(X5,ap(X2,X3,X4,X5)),X4))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ex1E2, axiom, ex1E2 <=> 12.93/13.18 (![A,Xphi:($i > $o)]: 12.93/13.18 (ex1(A,^[Xx]: Xphi(Xx)) => 12.93/13.18 (![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))))))))). 12.93/13.18 tff('96', plain, 12.93/13.18 ex1E2 = 12.93/13.18 (![X2,X3:($i > $o)]: 12.93/13.18 (ex1(X2,^[V_1]: X3(V_1)) => 12.93/13.18 (![X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(brelnall2, axiom, brelnall2 <=> 12.93/13.18 (![A,B,R]: 12.93/13.18 (breln(A,B,R) => 12.93/13.18 (![Xphi:($i > $o)]: 12.93/13.18 ((![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 12.93/13.18 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 12.93/13.18 tff('97', plain, 12.93/13.18 brelnall2 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (breln(X2,X3,X4) => 12.93/13.18 (![X5:($i > $o)]: 12.93/13.18 ((![X6]: 12.93/13.18 (in(X6,X2) => 12.93/13.18 (![X7]: 12.93/13.18 (in(X7,X3) => (in(kpair(X6,X7),X4) => X5(kpair(X6,X7))))))) => 12.93/13.18 (![X8]: (in(X8,X4) => X5(X8))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(brelnall1, axiom, brelnall1 <=> 12.93/13.18 (![A,B,R]: 12.93/13.18 (breln(A,B,R) => 12.93/13.18 (![Xphi:($i > $o)]: 12.93/13.18 ((![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 12.93/13.18 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 12.93/13.18 tff('98', plain, 12.93/13.18 brelnall1 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (breln(X2,X3,X4) => 12.93/13.18 (![X5:($i > $o)]: 12.93/13.18 ((![X6]: 12.93/13.18 (in(X6,X2) => 12.93/13.18 (![X7]: 12.93/13.18 (in(X7,X3) => (in(kpair(X6,X7),X4) => X5(kpair(X6,X7))))))) => 12.93/13.18 (![X8]: (in(X8,X4) => X5(X8))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(lam2p, axiom, lam2p <=> 12.93/13.18 (![A,B,Xf:($i > $i)]: 12.93/13.18 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 12.93/13.18 in(lam(A,B,^[Xx]: Xf(Xx)),funcSet(A,B))))). 12.93/13.18 tff('99', plain, 12.93/13.18 lam2p = 12.93/13.18 (![X2,X3,X4:($i > $i)]: 12.93/13.18 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 12.93/13.18 in(lam(X2,X3,^[V_1]: X4(V_1)),funcSet(X2,X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(lamp, axiom, lamp <=> 12.93/13.18 (![A,B,Xf:($i > $i)]: 12.93/13.18 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => func(A,B,lam(A,B,^[Xx]: Xf(Xx)))))). 12.93/13.18 tff('100', plain, 12.93/13.18 lamp = 12.93/13.18 (![X2,X3,X4:($i > $i)]: 12.93/13.18 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 12.93/13.18 func(X2,X3,lam(X2,X3,^[V_1]: X4(V_1))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(lamProp, axiom, lamProp <=> 12.93/13.18 (![A,B,Xf:($i > $i)]: 12.93/13.18 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 12.93/13.18 func(A,B,dpsetconstr(A,B,^[Xx,Xy]: (Xf(Xx) = Xy)))))). 12.93/13.18 tff('101', plain, 12.93/13.18 lamProp = 12.93/13.18 (![X2,X3,X4:($i > $i)]: 12.93/13.18 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 12.93/13.18 func(X2,X3,dpsetconstr(X2,X3,^[V_1,V_2]: (X4(V_1) = V_2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(funcinfuncset, axiom, funcinfuncset <=> 12.93/13.18 (![A,B,Xf]: (func(A,B,Xf) => in(Xf,funcSet(A,B))))). 12.93/13.18 tff('102', plain, 12.93/13.18 funcinfuncset = (![X2,X3,X4]: (func(X2,X3,X4) => in(X4,funcSet(X2,X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ap2p, axiom, ap2p <=> 12.93/13.18 (![A,B,Xf]: 12.93/13.18 (in(Xf,funcSet(A,B)) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 12.93/13.18 tff('103', plain, 12.93/13.18 ap2p = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,funcSet(X2,X3)) => 12.93/13.18 (![X5]: (in(X5,X2) => in(ap(X2,X3,X4,X5),X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(infuncsetfunc, axiom, infuncsetfunc <=> 12.93/13.18 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => func(A,B,Xf)))). 12.93/13.18 tff('104', plain, 12.93/13.18 infuncsetfunc = (![X2,X3,X4]: (in(X4,funcSet(X2,X3)) => func(X2,X3,X4))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(app, axiom, app <=> 12.93/13.18 (![A,B,Xf]: (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 12.93/13.18 tff('105', plain, 12.93/13.18 app = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (func(X2,X3,X4) => (![X5]: (in(X5,X2) => in(ap(X2,X3,X4,X5),X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(apProp, axiom, apProp <=> 12.93/13.18 (![A,B,Xf]: 12.93/13.18 (func(A,B,Xf) => 12.93/13.18 (![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 in(setunion(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf))),B)))))). 12.93/13.18 tff('106', plain, 12.93/13.18 apProp = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (func(X2,X3,X4) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 in(setunion(dsetconstr(X3,^[V_1]: in(kpair(X5,V_1),X4))),X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(funcImageSingleton, axiom, funcImageSingleton <=> 12.93/13.18 (![A,B,Xf]: 12.93/13.18 (func(A,B,Xf) => 12.93/13.18 (![Xx]: 12.93/13.18 (in(Xx,A) => singleton(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf)))))))). 12.93/13.18 tff('107', plain, 12.93/13.18 funcImageSingleton = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (func(X2,X3,X4) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 singleton(dsetconstr(X3,^[V_1]: in(kpair(X5,V_1),X4))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(dpsetconstrER, axiom, dpsetconstrER <=> 12.93/13.18 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 12.93/13.18 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => Xphi(Xx,Xy)))). 12.93/13.18 tff('108', plain, 12.93/13.18 dpsetconstrER = 12.93/13.18 (![X2,X3,X4:(($i * $i) > $o),X5,X6]: 12.93/13.18 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 12.93/13.18 X4(X5,X6))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(dpsetconstrEL2, axiom, dpsetconstrEL2 <=> 12.93/13.18 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 12.93/13.18 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xy,B)))). 12.93/13.18 tff('109', plain, 12.93/13.18 dpsetconstrEL2 = 12.93/13.18 (![X2,X3,X4:(($i * $i) > $o),X5,X6]: 12.93/13.18 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 12.93/13.18 in(X6,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(dpsetconstrEL1, axiom, dpsetconstrEL1 <=> 12.93/13.18 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 12.93/13.18 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xx,A)))). 12.93/13.18 tff('110', plain, 12.93/13.18 dpsetconstrEL1 = 12.93/13.18 (![X2,X3,X4:(($i * $i) > $o),X5,X6]: 12.93/13.18 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 12.93/13.18 in(X5,X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(dpsetconstrERa, axiom, dpsetconstrERa <=> 12.93/13.18 (![A,B,Xphi:(($i * $i) > $o),Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => 12.93/13.18 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => 12.93/13.18 Xphi(Xx,Xy))))))). 12.93/13.18 tff('111', plain, 12.93/13.18 dpsetconstrERa = 12.93/13.18 (![X2,X3,X4:(($i * $i) > $o),X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 (![X6]: 12.93/13.18 (in(X6,X3) => 12.93/13.18 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 12.93/13.18 X4(X5,X6)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setOfPairsIsBReln, axiom, setOfPairsIsBReln <=> 12.93/13.18 (![A,B,Xphi:(($i * $i) > $o)]: 12.93/13.18 breln(A,B,dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy))))). 12.93/13.18 tff('112', plain, 12.93/13.18 setOfPairsIsBReln = 12.93/13.18 (![X2,X3,X4:(($i * $i) > $o)]: 12.93/13.18 breln(X2,X3,dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(dpsetconstrSub, axiom, dpsetconstrSub <=> 12.93/13.18 (![A,B,Xphi:(($i * $i) > $o)]: 12.93/13.18 subset(dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy)),cartprod(A,B)))). 12.93/13.18 tff('113', plain, 12.93/13.18 dpsetconstrSub = 12.93/13.18 (![X2,X3,X4:(($i * $i) > $o)]: 12.93/13.18 subset(dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2)),cartprod(X2,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(dpsetconstrI, axiom, dpsetconstrI <=> 12.93/13.18 (![A,B,Xphi:(($i * $i) > $o),Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => 12.93/13.18 (Xphi(Xx,Xy) => 12.93/13.18 in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))))))))). 12.93/13.18 tff('114', plain, 12.93/13.18 dpsetconstrI = 12.93/13.18 (![X2,X3,X4:(($i * $i) > $o),X5]: 12.93/13.18 (in(X5,X2) => 12.93/13.18 (![X6]: 12.93/13.18 (in(X6,X3) => 12.93/13.18 (X4(X5,X6) => 12.93/13.18 in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2)))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(breln, axiom, breln() = ^[A,B,C]: subset(C,cartprod(A,B))). 12.93/13.18 tff('115', plain, breln = (^[V_1,V_2,V_3]: subset(V_3,cartprod(V_1,V_2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(cartprodpairsurjEq, axiom, cartprodpairsurjEq <=> 12.93/13.18 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 12.93/13.18 tff('116', plain, 12.93/13.18 cartprodpairsurjEq = 12.93/13.18 (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => (kpair(kfst(X4),ksnd(X4)) = X4))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(cartprodsndpairEq, axiom, cartprodsndpairEq <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (ksnd(kpair(Xx,Xy)) = Xy)))))). 12.93/13.18 tff('117', plain, 12.93/13.18 cartprodsndpairEq = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,X2) => (![X5]: (in(X5,X3) => (ksnd(kpair(X4,X5)) = X5))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(cartprodfstpairEq, axiom, cartprodfstpairEq <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (kfst(kpair(Xx,Xy)) = Xx)))))). 12.93/13.18 tff('118', plain, 12.93/13.18 cartprodfstpairEq = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,X2) => (![X5]: (in(X5,X3) => (kfst(kpair(X4,X5)) = X4))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(cartprodmempaircEq, axiom, cartprodmempaircEq <=> 12.93/13.18 (![A,B,Xx]: 12.93/13.18 (in(Xx,A) => (![Xy]: (in(Xy,B) => (kpair(Xx,Xy) = kpair(Xx,Xy))))))). 12.93/13.18 tff('119', plain, 12.93/13.18 cartprodmempaircEq = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,X2) => (![X5]: (in(X5,X3) => (kpair(X4,X5) = kpair(X4,X5)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(cartprodpairmemER, axiom, cartprodpairmemER <=> 12.93/13.18 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xy,B)))). 12.93/13.18 tff('120', plain, 12.93/13.18 cartprodpairmemER = 12.93/13.18 (![X2,X3,X4,X5]: (in(kpair(X4,X5),cartprod(X2,X3)) => in(X5,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(cartprodpairmemEL, axiom, cartprodpairmemEL <=> 12.93/13.18 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xx,A)))). 12.93/13.18 tff('121', plain, 12.93/13.18 cartprodpairmemEL = 12.93/13.18 (![X2,X3,X4,X5]: (in(kpair(X4,X5),cartprod(X2,X3)) => in(X4,X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(cartprodsndin, axiom, cartprodsndin <=> 12.93/13.18 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(ksnd(Xu),B)))). 12.93/13.18 tff('122', plain, 12.93/13.18 cartprodsndin = 12.93/13.18 (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => in(ksnd(X4),X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(kpairsurjEq, axiom, kpairsurjEq <=> 12.93/13.18 (![Xu]: (iskpair(Xu) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 12.93/13.18 tff('123', plain, 12.93/13.18 kpairsurjEq = (![X2]: (iskpair(X2) => (kpair(kfst(X2),ksnd(X2)) = X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ksndpairEq, axiom, ksndpairEq <=> (![Xx,Xy]: (ksnd(kpair(Xx,Xy)) = Xy))). 12.93/13.18 tff('124', plain, ksndpairEq = (![X2,X3]: (ksnd(kpair(X2,X3)) = X3)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ksndsingleton, axiom, ksndsingleton <=> 12.93/13.18 (![Xu]: 12.93/13.18 (iskpair(Xu) => 12.93/13.18 singleton(dsetconstr(setunion(Xu),^[Xx]: (Xu = kpair(kfst(Xu),Xx))))))). 12.93/13.18 tff('125', plain, 12.93/13.18 ksndsingleton = 12.93/13.18 (![X2]: 12.93/13.18 (iskpair(X2) => 12.93/13.18 singleton(dsetconstr(setunion(X2),^[V_1]: (X2 = kpair(kfst(X2),V_1)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setukpairinjR, axiom, setukpairinjR <=> 12.93/13.18 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xy = Xu)))). 12.93/13.18 tff('126', plain, 12.93/13.18 setukpairinjR = 12.93/13.18 (![X2,X3,X4,X5]: ((kpair(X2,X3) = kpair(X4,X5)) => (X3 = X5))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setukpairinjR2, axiom, setukpairinjR2 <=> 12.93/13.18 (![Xx,Xy,Xz,Xu]: 12.93/13.18 ((setadjoin(setadjoin(Xx,emptyset), 12.93/13.18 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 12.93/13.18 setadjoin(setadjoin(Xz,emptyset), 12.93/13.18 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 12.93/13.18 (Xy = Xu)))). 12.93/13.18 tff('127', plain, 12.93/13.18 setukpairinjR2 = 12.93/13.18 (![X2,X3,X4,X5]: 12.93/13.18 ((setadjoin(setadjoin(X2,emptyset), 12.93/13.18 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 12.93/13.18 setadjoin(setadjoin(X4,emptyset), 12.93/13.18 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),emptyset))) => 12.93/13.18 (X3 = X5))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(upairequniteq, axiom, upairequniteq <=> 12.93/13.18 (![Xx,Xy,Xz]: 12.93/13.18 ((setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xz,emptyset)) => 12.93/13.18 (Xx = Xy)))). 12.93/13.18 tff('128', plain, 12.93/13.18 upairequniteq = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 ((setadjoin(X2,setadjoin(X3,emptyset)) = setadjoin(X4,emptyset)) => 12.93/13.18 (X2 = X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setukpairinjR1, axiom, setukpairinjR1 <=> 12.93/13.18 (![Xx,Xy,Xz,Xu]: 12.93/13.18 ((setadjoin(setadjoin(Xx,emptyset), 12.93/13.18 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 12.93/13.18 setadjoin(setadjoin(Xz,emptyset), 12.93/13.18 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 12.93/13.18 ((Xz = Xu) => (Xy = Xu))))). 12.93/13.18 tff('129', plain, 12.93/13.18 setukpairinjR1 = 12.93/13.18 (![X2,X3,X4,X5]: 12.93/13.18 ((setadjoin(setadjoin(X2,emptyset), 12.93/13.18 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 12.93/13.18 setadjoin(setadjoin(X4,emptyset), 12.93/13.18 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),emptyset))) => 12.93/13.18 ((X4 = X5) => (X3 = X5)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setukpairinjR12, axiom, setukpairinjR12 <=> 12.93/13.18 (![Xx,Xy]: 12.93/13.18 ((Xx = Xy) => 12.93/13.18 (setadjoin(setadjoin(Xx,emptyset), 12.93/13.18 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 12.93/13.18 setadjoin(setadjoin(Xx,emptyset),emptyset))))). 12.93/13.18 tff('130', plain, 12.93/13.18 setukpairinjR12 = 12.93/13.18 (![X2,X3]: 12.93/13.18 ((X2 = X3) => 12.93/13.18 (setadjoin(setadjoin(X2,emptyset), 12.93/13.18 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 12.93/13.18 setadjoin(setadjoin(X2,emptyset),emptyset)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setukpairinjR11, axiom, setukpairinjR11 <=> 12.93/13.18 (![Xx,Xy]: 12.93/13.18 ((Xx = Xy) => 12.93/13.18 (setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xx,emptyset))))). 12.93/13.18 tff('131', plain, 12.93/13.18 setukpairinjR11 = 12.93/13.18 (![X2,X3]: 12.93/13.18 ((X2 = X3) => 12.93/13.18 (setadjoin(X2,setadjoin(X3,emptyset)) = setadjoin(X2,emptyset)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setukpairinjL, axiom, setukpairinjL <=> 12.93/13.18 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xx = Xz)))). 12.93/13.18 tff('132', plain, 12.93/13.18 setukpairinjL = 12.93/13.18 (![X2,X3,X4,X5]: ((kpair(X2,X3) = kpair(X4,X5)) => (X2 = X4))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setukpairinjL2, axiom, setukpairinjL2 <=> 12.93/13.18 (![Xx,Xy,Xz,Xu]: 12.93/13.18 ((setadjoin(setadjoin(Xx,emptyset), 12.93/13.18 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 12.93/13.18 setadjoin(setadjoin(Xz,emptyset), 12.93/13.18 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 12.93/13.18 (Xx = Xz)))). 12.93/13.18 tff('133', plain, 12.93/13.18 setukpairinjL2 = 12.93/13.18 (![X2,X3,X4,X5]: 12.93/13.18 ((setadjoin(setadjoin(X2,emptyset), 12.93/13.18 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 12.93/13.18 setadjoin(setadjoin(X4,emptyset), 12.93/13.18 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),emptyset))) => 12.93/13.18 (X2 = X4))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(cartprodfstin, axiom, cartprodfstin <=> 12.93/13.18 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(kfst(Xu),A)))). 12.93/13.18 tff('134', plain, 12.93/13.18 cartprodfstin = 12.93/13.18 (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => in(kfst(X4),X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(kfstpairEq, axiom, kfstpairEq <=> (![Xx,Xy]: (kfst(kpair(Xx,Xy)) = Xx))). 12.93/13.18 tff('135', plain, kfstpairEq = (![X2,X3]: (kfst(kpair(X2,X3)) = X2)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(theprop, axiom, theprop <=> (![X]: (singleton(X) => in(setunion(X),X)))). 12.93/13.18 tff('136', plain, theprop = (![X2]: (singleton(X2) => in(setunion(X2),X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(kfstsingleton, axiom, kfstsingleton <=> 12.93/13.18 (![Xu]: 12.93/13.18 (iskpair(Xu) => 12.93/13.18 singleton(dsetconstr(setunion(Xu),^[Xx]: in(setadjoin(Xx,emptyset),Xu)))))). 12.93/13.18 tff('137', plain, 12.93/13.18 kfstsingleton = 12.93/13.18 (![X2]: 12.93/13.18 (iskpair(X2) => 12.93/13.18 singleton(dsetconstr(setunion(X2), 12.93/13.18 ^[V_1]: in(setadjoin(V_1,emptyset),X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setukpairinjL1, axiom, setukpairinjL1 <=> 12.93/13.18 (![Xx,Xy,Xz]: 12.93/13.18 (in(setadjoin(Xz,emptyset), 12.93/13.18 setadjoin(setadjoin(Xx,emptyset), 12.93/13.18 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset))) => 12.93/13.18 (Xx = Xz)))). 12.93/13.18 tff('138', plain, 12.93/13.18 setukpairinjL1 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(setadjoin(X4,emptyset), 12.93/13.18 setadjoin(setadjoin(X2,emptyset), 12.93/13.18 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset))) => 12.93/13.18 (X2 = X4))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(singletonsuniq, axiom, singletonsuniq <=> 12.93/13.18 (![Xx,Xy]: ((setadjoin(Xx,emptyset) = setadjoin(Xy,emptyset)) => (Xx = Xy)))). 12.93/13.18 tff('139', plain, 12.93/13.18 singletonsuniq = 12.93/13.18 (![X2,X3]: 12.93/13.18 ((setadjoin(X2,emptyset) = setadjoin(X3,emptyset)) => (X2 = X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ex1I2, axiom, ex1I2 <=> 12.93/13.18 (![A,Xphi:($i > $o)]: 12.93/13.18 ((![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 12.93/13.18 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => ex1(A,^[Xx]: Xphi(Xx)))))). 12.93/13.18 tff('140', plain, 12.93/13.18 ex1I2 = 12.93/13.18 (![X2,X3:($i > $o)]: 12.93/13.18 ((![X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))) => 12.93/13.18 ((?[X6]: (X3(X6) & in(X6,X2))) => ex1(X2,^[V_1]: X3(V_1))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ex1I, axiom, ex1I <=> 12.93/13.18 (![A,Xphi:($i > $o),Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (Xphi(Xx) => 12.93/13.18 ((![Xy]: (in(Xy,A) => (Xphi(Xy) => (Xy = Xx)))) => 12.93/13.18 ex1(A,^[Xy]: Xphi(Xy))))))). 12.93/13.18 tff('141', plain, 12.93/13.18 ex1I = 12.93/13.18 (![X2,X3:($i > $o),X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (X3(X4) => 12.93/13.18 ((![X5]: (in(X5,X2) => (X3(X5) => (X5 = X4)))) => 12.93/13.18 ex1(X2,^[V_1]: X3(V_1)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ex1E1, axiom, ex1E1 <=> 12.93/13.18 (![A,Xphi:($i > $o)]: 12.93/13.18 (ex1(A,^[Xx]: Xphi(Xx)) => (?[Xx]: (Xphi(Xx) & in(Xx,A)))))). 12.93/13.18 tff('142', plain, 12.93/13.18 ex1E1 = 12.93/13.18 (![X2,X3:($i > $o)]: 12.93/13.18 (ex1(X2,^[V_1]: X3(V_1)) => (?[X4]: (X3(X4) & in(X4,X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(singletonprop, axiom, singletonprop <=> 12.93/13.18 (![A,Xphi:($i > $o)]: 12.93/13.18 ((![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 12.93/13.18 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 12.93/13.18 singleton(dsetconstr(A,^[Xx]: Xphi(Xx))))))). 12.93/13.18 tff('143', plain, 12.93/13.18 singletonprop = 12.93/13.18 (![X2,X3:($i > $o)]: 12.93/13.18 ((![X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))) => 12.93/13.18 ((?[X6]: (X3(X6) & in(X6,X2))) => 12.93/13.18 singleton(dsetconstr(X2,^[V_1]: X3(V_1)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setunionsingleton, axiom, setunionsingleton <=> 12.93/13.18 (![Xx]: (setunion(setadjoin(Xx,emptyset)) = Xx))). 12.93/13.18 tff('144', plain, 12.93/13.18 setunionsingleton = (![X2]: (setunion(setadjoin(X2,emptyset)) = X2)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setunionsingleton2, axiom, setunionsingleton2 <=> 12.93/13.18 (![A]: subset(A,setunion(setadjoin(A,emptyset))))). 12.93/13.18 tff('145', plain, 12.93/13.18 setunionsingleton2 = (![X2]: subset(X2,setunion(setadjoin(X2,emptyset)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setunionsingleton1, axiom, setunionsingleton1 <=> 12.93/13.18 (![A]: subset(setunion(setadjoin(A,emptyset)),A))). 12.93/13.18 tff('146', plain, 12.93/13.18 setunionsingleton1 = (![X2]: subset(setunion(setadjoin(X2,emptyset)),X2)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setunionE2, axiom, setunionE2 <=> 12.93/13.18 (![A,Xx]: (in(Xx,setunion(A)) => (?[X]: (in(Xx,X) & in(X,A)))))). 12.93/13.18 tff('147', plain, 12.93/13.18 setunionE2 = 12.93/13.18 (![X2,X3]: (in(X3,setunion(X2)) => (?[X4]: (in(X3,X4) & in(X4,X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(cartprodmempair, axiom, cartprodmempair <=> 12.93/13.18 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => iskpair(Xu)))). 12.93/13.18 tff('148', plain, 12.93/13.18 cartprodmempair = (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => iskpair(X4))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(cartprodmempair1, axiom, cartprodmempair1 <=> 12.93/13.18 (![A,B,Xu]: 12.93/13.18 (in(Xu,cartprod(A,B)) => 12.93/13.18 (?[Xx]: ((?[Xy]: ((Xu = kpair(Xx,Xy)) & in(Xy,B))) & in(Xx,A)))))). 12.93/13.18 tff('149', plain, 12.93/13.18 cartprodmempair1 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,cartprod(X2,X3)) => 12.93/13.18 (?[X5]: ((?[X6]: ((X4 = kpair(X5,X6)) & in(X6,X3))) & in(X5,X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(cartprodpairin, axiom, cartprodpairin <=> 12.93/13.18 (![A,B,Xx]: 12.93/13.18 (in(Xx,A) => (![Xy]: (in(Xy,B) => in(kpair(Xx,Xy),cartprod(A,B))))))). 12.93/13.18 tff('150', plain, 12.93/13.18 cartprodpairin = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,X2) => (![X5]: (in(X5,X3) => in(kpair(X4,X5),cartprod(X2,X3)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ubforcartprodlem3, axiom, ubforcartprodlem3 <=> 12.93/13.18 (![A,B,Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => in(kpair(Xx,Xy),powerset(powerset(binunion(A,B))))))))). 12.93/13.18 tff('151', plain, 12.93/13.18 ubforcartprodlem3 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X3) => in(kpair(X4,X5),powerset(powerset(binunion(X2,X3)))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ubforcartprodlem2, axiom, ubforcartprodlem2 <=> 12.93/13.18 (![A,B,Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => 12.93/13.18 in(setadjoin(setadjoin(Xx,emptyset), 12.93/13.18 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 12.93/13.18 emptyset)), 12.93/13.18 powerset(powerset(binunion(A,B))))))))). 12.93/13.18 tff('152', plain, 12.93/13.18 ubforcartprodlem2 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X3) => 12.93/13.18 in(setadjoin(setadjoin(X4,emptyset), 12.93/13.18 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)), 12.93/13.18 emptyset)), 12.93/13.18 powerset(powerset(binunion(X2,X3)))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(ubforcartprodlem1, axiom, ubforcartprodlem1 <=> 12.93/13.18 (![A,B,Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => 12.93/13.18 subset(setadjoin(setadjoin(Xx,emptyset), 12.93/13.18 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 12.93/13.18 emptyset)), 12.93/13.18 powerset(binunion(A,B)))))))). 12.93/13.18 tff('153', plain, 12.93/13.18 ubforcartprodlem1 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X3) => 12.93/13.18 subset(setadjoin(setadjoin(X4,emptyset), 12.93/13.18 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)), 12.93/13.18 emptyset)), 12.93/13.18 powerset(binunion(X2,X3))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(upairinpowunion, axiom, upairinpowunion <=> 12.93/13.18 (![A,B,Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => 12.93/13.18 in(setadjoin(Xx,setadjoin(Xy,emptyset)),powerset(binunion(A,B)))))))). 12.93/13.18 tff('154', plain, 12.93/13.18 upairinpowunion = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X3) => 12.93/13.18 in(setadjoin(X4,setadjoin(X5,emptyset)),powerset(binunion(X2,X3))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(upairsubunion, axiom, upairsubunion <=> 12.93/13.18 (![A,B,Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: 12.93/13.18 (in(Xy,B) => 12.93/13.18 subset(setadjoin(Xx,setadjoin(Xy,emptyset)),binunion(A,B))))))). 12.93/13.18 tff('155', plain, 12.93/13.18 upairsubunion = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,X2) => 12.93/13.18 (![X5]: 12.93/13.18 (in(X5,X3) => 12.93/13.18 subset(setadjoin(X4,setadjoin(X5,emptyset)),binunion(X2,X3)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(upairset2E, axiom, upairset2E <=> 12.93/13.18 (![Xx,Xy,Xz]: 12.93/13.18 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xy) | (Xz = Xx))))). 12.93/13.18 tff('156', plain, 12.93/13.18 upairset2E = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,setadjoin(X2,setadjoin(X3,emptyset))) => 12.93/13.18 ((X4 = X3) | (X4 = X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(singletoninpowunion, axiom, singletoninpowunion <=> 12.93/13.18 (![A,B,Xx]: 12.93/13.18 (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(binunion(A,B)))))). 12.93/13.18 tff('157', plain, 12.93/13.18 singletoninpowunion = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,X2) => in(setadjoin(X4,emptyset),powerset(binunion(X2,X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(singletoninpowerset, axiom, singletoninpowerset <=> 12.93/13.18 (![A,Xx]: (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(A))))). 12.93/13.18 tff('158', plain, 12.93/13.18 singletoninpowerset = 12.93/13.18 (![X2,X3]: (in(X3,X2) => in(setadjoin(X3,emptyset),powerset(X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(singletonsubset, axiom, singletonsubset <=> 12.93/13.18 (![A,Xx]: (in(Xx,A) => subset(setadjoin(Xx,emptyset),A)))). 12.93/13.18 tff('159', plain, 12.93/13.18 singletonsubset = 12.93/13.18 (![X2,X3]: (in(X3,X2) => subset(setadjoin(X3,emptyset),X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(kpairp, axiom, kpairp <=> (![Xx,Xy]: iskpair(kpair(Xx,Xy)))). 12.93/13.18 tff('160', plain, kpairp = (![X2,X3]: iskpair(kpair(X2,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(kpairiskpair, axiom, kpairiskpair <=> 12.93/13.18 (![Xx,Xy]: 12.93/13.18 iskpair(setadjoin(setadjoin(Xx,emptyset), 12.93/13.18 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 12.93/13.18 emptyset))))). 12.93/13.18 tff('161', plain, 12.93/13.18 kpairiskpair = 12.93/13.18 (![X2,X3]: 12.93/13.18 iskpair(setadjoin(setadjoin(X2,emptyset), 12.93/13.18 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)), 12.93/13.18 emptyset)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setukpairIR, axiom, setukpairIR <=> 12.93/13.18 (![Xx,Xy]: 12.93/13.18 in(Xy, 12.93/13.18 setunion(setadjoin(setadjoin(Xx,emptyset), 12.93/13.18 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 12.93/13.18 emptyset)))))). 12.93/13.18 tff('162', plain, 12.93/13.18 setukpairIR = 12.93/13.18 (![X2,X3]: 12.93/13.18 in(X3, 12.93/13.18 setunion(setadjoin(setadjoin(X2,emptyset), 12.93/13.18 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)), 12.93/13.18 emptyset))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setukpairIL, axiom, setukpairIL <=> 12.93/13.18 (![Xx,Xy]: 12.93/13.18 in(Xx, 12.93/13.18 setunion(setadjoin(setadjoin(Xx,emptyset), 12.93/13.18 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 12.93/13.18 emptyset)))))). 12.93/13.18 tff('163', plain, 12.93/13.18 setukpairIL = 12.93/13.18 (![X2,X3]: 12.93/13.18 in(X2, 12.93/13.18 setunion(setadjoin(setadjoin(X2,emptyset), 12.93/13.18 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)), 12.93/13.18 emptyset))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(secondinupair, axiom, secondinupair <=> 12.93/13.18 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 12.93/13.18 tff('164', plain, 12.93/13.18 secondinupair = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(symdiffIneg2, axiom, symdiffIneg2 <=> 12.93/13.18 (![A,B,Xx]: ((~in(Xx,A)) => ((~in(Xx,B)) => (~in(Xx,symdiff(A,B))))))). 12.93/13.18 tff('165', plain, 12.93/13.18 symdiffIneg2 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 ((~in(X4,X2)) => ((~in(X4,X3)) => (~in(X4,symdiff(X2,X3)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(symdiffIneg1, axiom, symdiffIneg1 <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => (~in(Xx,symdiff(A,B))))))). 12.93/13.18 tff('166', plain, 12.93/13.18 symdiffIneg1 = 12.93/13.18 (![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => (~in(X4,symdiff(X2,X3)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(symdiffI2, axiom, symdiffI2 <=> 12.93/13.18 (![A,B,Xx]: ((~in(Xx,A)) => (in(Xx,B) => in(Xx,symdiff(A,B)))))). 12.93/13.18 tff('167', plain, 12.93/13.18 symdiffI2 = 12.93/13.18 (![X2,X3,X4]: ((~in(X4,X2)) => (in(X4,X3) => in(X4,symdiff(X2,X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(symdiffI1, axiom, symdiffI1 <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,symdiff(A,B)))))). 12.93/13.18 tff('168', plain, 12.93/13.18 symdiffI1 = 12.93/13.18 (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => in(X4,symdiff(X2,X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(symdiffE, axiom, symdiffE <=> 12.93/13.18 (![A,B,Xx]: 12.93/13.18 (in(Xx,symdiff(A,B)) => 12.93/13.18 (![Xphi:$o]: 12.93/13.18 ((in(Xx,A) => ((~in(Xx,B)) => Xphi)) => 12.93/13.18 (((~in(Xx,A)) => (in(Xx,B) => Xphi)) => Xphi)))))). 12.93/13.18 tff('169', plain, 12.93/13.18 symdiffE = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,symdiff(X2,X3)) => 12.93/13.18 (![X5:$o]: 12.93/13.18 ((in(X4,X2) => ((~in(X4,X3)) => X5)) => 12.93/13.18 (((~in(X4,X2)) => (in(X4,X3) => X5)) => X5))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setminusSubset1, axiom, setminusSubset1 <=> 12.93/13.18 (![A,B]: ((setminus(A,B) = emptyset) => subset(A,B)))). 12.93/13.18 tff('170', plain, 12.93/13.18 setminusSubset1 = 12.93/13.18 (![X2,X3]: ((setminus(X2,X3) = emptyset) => subset(X2,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setminusLsub, axiom, setminusLsub <=> (![A,B]: subset(setminus(A,B),A))). 12.93/13.18 tff('171', plain, setminusLsub = (![X2,X3]: subset(setminus(X2,X3),X2)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setminusIRneg, axiom, setminusIRneg <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,B) => (~in(Xx,setminus(A,B)))))). 12.93/13.18 tff('172', plain, 12.93/13.18 setminusIRneg = (![X2,X3,X4]: (in(X4,X3) => (~in(X4,setminus(X2,X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setminusILneg, axiom, setminusILneg <=> 12.93/13.18 (![A,B,Xx]: ((~in(Xx,A)) => (~in(Xx,setminus(A,B)))))). 12.93/13.18 tff('173', plain, 12.93/13.18 setminusILneg = 12.93/13.18 (![X2,X3,X4]: ((~in(X4,X2)) => (~in(X4,setminus(X2,X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setminusELneg, axiom, setminusELneg <=> 12.93/13.18 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => ((~in(Xx,B)) => (~in(Xx,A)))))). 12.93/13.18 tff('174', plain, 12.93/13.18 setminusELneg = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 ((~in(X4,setminus(X2,X3))) => ((~in(X4,X3)) => (~in(X4,X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setminusERneg, axiom, setminusERneg <=> 12.93/13.18 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => (in(Xx,A) => in(Xx,B))))). 12.93/13.18 tff('175', plain, 12.93/13.18 setminusERneg = 12.93/13.18 (![X2,X3,X4]: ((~in(X4,setminus(X2,X3))) => (in(X4,X2) => in(X4,X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setminusSubset2, axiom, setminusSubset2 <=> 12.93/13.18 (![A,B]: (subset(A,B) => (setminus(A,B) = emptyset)))). 12.93/13.18 tff('176', plain, 12.93/13.18 setminusSubset2 = 12.93/13.18 (![X2,X3]: (subset(X2,X3) => (setminus(X2,X3) = emptyset))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setminusER, axiom, setminusER <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B))))). 12.93/13.18 tff('177', plain, 12.93/13.18 setminusER = (![X2,X3,X4]: (in(X4,setminus(X2,X3)) => (~in(X4,X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setminusEL, axiom, setminusEL <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,setminus(A,B)) => in(Xx,A)))). 12.93/13.18 tff('178', plain, 12.93/13.18 setminusEL = (![X2,X3,X4]: (in(X4,setminus(X2,X3)) => in(X4,X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setminusI, axiom, setminusI <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,setminus(A,B)))))). 12.93/13.18 tff('179', plain, 12.93/13.18 setminusI = 12.93/13.18 (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => in(X4,setminus(X2,X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(bs114d, axiom, bs114d <=> 12.93/13.18 (![A,B,C]: 12.93/13.18 (binintersect(A,binunion(B,C)) = 12.93/13.18 binunion(binintersect(A,B),binintersect(A,C))))). 12.93/13.18 tff('180', plain, 12.93/13.18 bs114d = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (binintersect(X2,binunion(X3,X4)) = 12.93/13.18 binunion(binintersect(X2,X3),binintersect(X2,X4)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectSubset1, axiom, binintersectSubset1 <=> 12.93/13.18 (![A,B]: ((binintersect(A,B) = A) => subset(A,B)))). 12.93/13.18 tff('181', plain, 12.93/13.18 binintersectSubset1 = 12.93/13.18 (![X2,X3]: ((binintersect(X2,X3) = X2) => subset(X2,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectSubset4, axiom, binintersectSubset4 <=> 12.93/13.18 (![A,B]: (subset(B,A) => (binintersect(A,B) = B)))). 12.93/13.18 tff('182', plain, 12.93/13.18 binintersectSubset4 = 12.93/13.18 (![X2,X3]: (subset(X3,X2) => (binintersect(X2,X3) = X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectRsub, axiom, binintersectRsub <=> 12.93/13.18 (![A,B]: subset(binintersect(A,B),B))). 12.93/13.18 tff('183', plain, 12.93/13.18 binintersectRsub = (![X2,X3]: subset(binintersect(X2,X3),X3)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(disjointsetsI1, axiom, disjointsetsI1 <=> 12.93/13.18 (![A,B]: 12.93/13.18 ((~(?[Xx]: (in(Xx,B) & in(Xx,A)))) => (binintersect(A,B) = emptyset)))). 12.93/13.18 tff('184', plain, 12.93/13.18 disjointsetsI1 = 12.93/13.18 (![X2,X3]: 12.93/13.18 ((~(?[X4]: (in(X4,X3) & in(X4,X2)))) => 12.93/13.18 (binintersect(X2,X3) = emptyset))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectER, axiom, binintersectER <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,B)))). 12.93/13.18 tff('185', plain, 12.93/13.18 binintersectER = (![X2,X3,X4]: (in(X4,binintersect(X2,X3)) => in(X4,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectSubset3, axiom, binintersectSubset3 <=> 12.93/13.18 (![A,B]: ((binintersect(A,B) = B) => subset(B,A)))). 12.93/13.18 tff('186', plain, 12.93/13.18 binintersectSubset3 = 12.93/13.18 (![X2,X3]: ((binintersect(X2,X3) = X3) => subset(X3,X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectSubset2, axiom, binintersectSubset2 <=> 12.93/13.18 (![A,B]: (subset(A,B) => (binintersect(A,B) = A)))). 12.93/13.18 tff('187', plain, 12.93/13.18 binintersectSubset2 = 12.93/13.18 (![X2,X3]: (subset(X2,X3) => (binintersect(X2,X3) = X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectLsub, axiom, binintersectLsub <=> 12.93/13.18 (![A,B]: subset(binintersect(A,B),A))). 12.93/13.18 tff('188', plain, 12.93/13.18 binintersectLsub = (![X2,X3]: subset(binintersect(X2,X3),X2)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectEL, axiom, binintersectEL <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,A)))). 12.93/13.18 tff('189', plain, 12.93/13.18 binintersectEL = (![X2,X3,X4]: (in(X4,binintersect(X2,X3)) => in(X4,X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectSubset5, axiom, binintersectSubset5 <=> 12.93/13.18 (![A,B,C]: (subset(C,A) => (subset(C,B) => subset(C,binintersect(A,B)))))). 12.93/13.18 tff('190', plain, 12.93/13.18 binintersectSubset5 = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (subset(X4,X2) => (subset(X4,X3) => subset(X4,binintersect(X2,X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binintersectI, axiom, binintersectI <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => in(Xx,binintersect(A,B)))))). 12.93/13.18 tff('191', plain, 12.93/13.18 binintersectI = 12.93/13.18 (![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => in(X4,binintersect(X2,X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binunionRsub, axiom, binunionRsub <=> (![A,B]: subset(B,binunion(A,B)))). 12.93/13.18 tff('192', plain, binunionRsub = (![X2,X3]: subset(X3,binunion(X2,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binunionLsub, axiom, binunionLsub <=> (![A,B]: subset(A,binunion(A,B)))). 12.93/13.18 tff('193', plain, binunionLsub = (![X2,X3]: subset(X2,binunion(X2,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binunionE, axiom, binunionE <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,binunion(A,B)) => (in(Xx,B) | in(Xx,A))))). 12.93/13.18 tff('194', plain, 12.93/13.18 binunionE = 12.93/13.18 (![X2,X3,X4]: (in(X4,binunion(X2,X3)) => (in(X4,X3) | in(X4,X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binunionEcases, axiom, binunionEcases <=> 12.93/13.18 (![A,B,Xx,Xphi:$o]: 12.93/13.18 (in(Xx,binunion(A,B)) => 12.93/13.18 ((in(Xx,A) => Xphi) => ((in(Xx,B) => Xphi) => Xphi))))). 12.93/13.18 tff('195', plain, 12.93/13.18 binunionEcases = 12.93/13.18 (![X2,X3,X4,X5:$o]: 12.93/13.18 (in(X4,binunion(X2,X3)) => 12.93/13.18 ((in(X4,X2) => X5) => ((in(X4,X3) => X5) => X5)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binunionIR, axiom, binunionIR <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,B) => in(Xx,binunion(A,B))))). 12.93/13.18 tff('196', plain, 12.93/13.18 binunionIR = (![X2,X3,X4]: (in(X4,X3) => in(X4,binunion(X2,X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(upairset2IR, axiom, upairset2IR <=> 12.93/13.18 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 12.93/13.18 tff('197', plain, 12.93/13.18 upairset2IR = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(binunionIL, axiom, binunionIL <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,A) => in(Xx,binunion(A,B))))). 12.93/13.18 tff('198', plain, 12.93/13.18 binunionIL = (![X2,X3,X4]: (in(X4,X2) => in(X4,binunion(X2,X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(sepSubset, axiom, sepSubset <=> 12.93/13.18 (![A,Xphi:($i > $o)]: subset(dsetconstr(A,^[Xx]: Xphi(Xx)),A))). 12.93/13.18 tff('199', plain, 12.93/13.18 sepSubset = 12.93/13.18 (![X2,X3:($i > $o)]: subset(dsetconstr(X2,^[V_1]: X3(V_1)),X2)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(sepInPowerset, axiom, sepInPowerset <=> 12.93/13.18 (![A,Xphi:($i > $o)]: in(dsetconstr(A,^[Xx]: Xphi(Xx)),powerset(A)))). 12.93/13.18 tff('200', plain, 12.93/13.18 sepInPowerset = 12.93/13.18 (![X2,X3:($i > $o)]: in(dsetconstr(X2,^[V_1]: X3(V_1)),powerset(X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(powersetsubset, axiom, powersetsubset <=> 12.93/13.18 (![A,B]: (subset(A,B) => subset(powerset(A),powerset(B))))). 12.93/13.18 tff('201', plain, 12.93/13.18 powersetsubset = 12.93/13.18 (![X2,X3]: (subset(X2,X3) => subset(powerset(X2),powerset(X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(inPowerset, axiom, inPowerset <=> (![A]: in(A,powerset(A)))). 12.93/13.18 tff('202', plain, inPowerset = (![X2]: in(X2,powerset(X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(powersetE1, axiom, powersetE1 <=> 12.93/13.18 (![A,B]: (in(B,powerset(A)) => subset(B,A)))). 12.93/13.18 tff('203', plain, 12.93/13.18 powersetE1 = (![X2,X3]: (in(X3,powerset(X2)) => subset(X3,X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(powersetI1, axiom, powersetI1 <=> 12.93/13.18 (![A,B]: (subset(B,A) => in(B,powerset(A))))). 12.93/13.18 tff('204', plain, 12.93/13.18 powersetI1 = (![X2,X3]: (subset(X3,X2) => in(X3,powerset(X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(subsetemptysetimpeq, axiom, subsetemptysetimpeq <=> 12.93/13.18 (![A]: (subset(A,emptyset) => (A = emptyset)))). 12.93/13.18 tff('205', plain, 12.93/13.18 subsetemptysetimpeq = (![X2]: (subset(X2,emptyset) => (X2 = emptyset))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setextsub, axiom, setextsub <=> 12.93/13.18 (![A,B]: (subset(A,B) => (subset(B,A) => (A = B))))). 12.93/13.18 tff('206', plain, 12.93/13.18 setextsub = (![X2,X3]: (subset(X2,X3) => (subset(X3,X2) => (X2 = X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(subset2powerset, axiom, subset2powerset <=> 12.93/13.18 (![A,B]: (subset(A,B) => in(A,powerset(B))))). 12.93/13.18 tff('207', plain, 12.93/13.18 subset2powerset = (![X2,X3]: (subset(X2,X3) => in(X2,powerset(X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setadjoinSub2, axiom, setadjoinSub2 <=> 12.93/13.18 (![A,Xx,B]: (subset(A,B) => subset(A,setadjoin(Xx,B))))). 12.93/13.18 tff('208', plain, 12.93/13.18 setadjoinSub2 = 12.93/13.18 (![X2,X3,X4]: (subset(X2,X4) => subset(X2,setadjoin(X3,X4)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setadjoinSub, axiom, setadjoinSub <=> 12.93/13.18 (![Xx,A]: subset(A,setadjoin(Xx,A)))). 12.93/13.18 tff('209', plain, setadjoinSub = (![X2,X3]: subset(X3,setadjoin(X2,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(subsetTrans, axiom, subsetTrans <=> 12.93/13.18 (![A,B,C]: (subset(A,B) => (subset(B,C) => subset(A,C))))). 12.93/13.18 tff('210', plain, 12.93/13.18 subsetTrans = 12.93/13.18 (![X2,X3,X4]: (subset(X2,X3) => (subset(X3,X4) => subset(X2,X4)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(subsetRefl, axiom, subsetRefl <=> (![A]: subset(A,A))). 12.93/13.18 tff('211', plain, subsetRefl = (![X2]: subset(X2,X2)), define([status(thm)])). 12.93/13.18 tff(notequalI2, axiom, notequalI2 <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (A != B))))). 12.93/13.18 tff('212', plain, 12.93/13.18 notequalI2 = (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => (X2 != X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(notequalI1, axiom, notequalI1 <=> (![A,B]: ((~subset(A,B)) => (A != B)))). 12.93/13.18 tff('213', plain, notequalI1 = (![X2,X3]: ((~subset(X2,X3)) => (X2 != X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(notsubsetI, axiom, notsubsetI <=> 12.93/13.18 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (~subset(A,B)))))). 12.93/13.18 tff('214', plain, 12.93/13.18 notsubsetI = 12.93/13.18 (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => (~subset(X2,X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(subsetE2, axiom, subsetE2 <=> 12.93/13.18 (![A,B,Xx]: (subset(A,B) => ((~in(Xx,B)) => (~in(Xx,A)))))). 12.93/13.18 tff('215', plain, 12.93/13.18 subsetE2 = 12.93/13.18 (![X2,X3,X4]: (subset(X2,X3) => ((~in(X4,X3)) => (~in(X4,X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(subsetE, axiom, subsetE <=> 12.93/13.18 (![A,B,Xx]: (subset(A,B) => (in(Xx,A) => in(Xx,B))))). 12.93/13.18 tff('216', plain, 12.93/13.18 subsetE = (![X2,X3,X4]: (subset(X2,X3) => (in(X4,X2) => in(X4,X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(emptysetsubset, axiom, emptysetsubset <=> (![A]: subset(emptyset,A))). 12.93/13.18 tff('217', plain, emptysetsubset = (![X2]: subset(emptyset,X2)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(subsetI2, axiom, subsetI2 <=> 12.93/13.18 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 12.93/13.18 tff('218', plain, 12.93/13.18 subsetI2 = 12.93/13.18 (![X2,X3]: ((![X4]: (in(X4,X2) => in(X4,X3))) => subset(X2,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(eqimpsubset1, axiom, eqimpsubset1 <=> (![A,B]: ((A = B) => subset(A,B)))). 12.93/13.18 tff('219', plain, eqimpsubset1 = (![X2,X3]: ((X2 = X3) => subset(X2,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(eqimpsubset2, axiom, eqimpsubset2 <=> (![A,B]: ((A = B) => subset(B,A)))). 12.93/13.18 tff('220', plain, eqimpsubset2 = (![X2,X3]: ((X2 = X3) => subset(X3,X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(subsetI1, axiom, subsetI1 <=> 12.93/13.18 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 12.93/13.18 tff('221', plain, 12.93/13.18 subsetI1 = 12.93/13.18 (![X2,X3]: ((![X4]: (in(X4,X2) => in(X4,X3))) => subset(X2,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(dsetconstr__Cong, axiom, dsetconstr__Cong <=> 12.93/13.18 (![A,B]: 12.93/13.18 ((A = B) => 12.93/13.18 (![Xphi:($i > $o),Xpsi:($i > $o)]: 12.93/13.18 ((![Xx]: 12.93/13.18 (in(Xx,A) => 12.93/13.18 (![Xy]: (in(Xy,B) => ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy))))))) => 12.93/13.18 (dsetconstr(A,^[Xx]: Xphi(Xx)) = dsetconstr(B,^[Xx]: Xpsi(Xx)))))))). 12.93/13.18 tff('222', plain, 12.93/13.18 dsetconstr__Cong = 12.93/13.18 (![X2,X3]: 12.93/13.18 ((X2 = X3) => 12.93/13.18 (![X4:($i > $o),X5:($i > $o)]: 12.93/13.18 ((![X6]: 12.93/13.18 (in(X6,X2) => 12.93/13.18 (![X7]: (in(X7,X3) => ((X6 = X7) => (X4(X6) <=> X5(X7))))))) => 12.93/13.18 (dsetconstr(X2,^[V_1]: X4(V_1)) = dsetconstr(X3,^[V_2]: X5(V_2))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(descr__Cong, axiom, descr__Cong <=> 12.93/13.18 (![Xphi:($i > $o),Xpsi:($i > $o)]: 12.93/13.18 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 12.93/13.18 (exu(^[Xx]: Xphi(Xx)) => 12.93/13.18 (exu(^[Xx]: Xpsi(Xx)) => 12.93/13.18 (descr(^[Xx]: Xphi(Xx)) = descr(^[Xx]: Xpsi(Xx)))))))). 12.93/13.18 tff('223', plain, 12.93/13.18 descr__Cong = 12.93/13.18 (![X2:($i > $o),X3:($i > $o)]: 12.93/13.18 ((![X4,X5]: ((X4 = X5) => (X2(X4) <=> X3(X5)))) => 12.93/13.18 (exu(^[V_1]: X2(V_1)) => 12.93/13.18 (exu(^[V_2]: X3(V_2)) => 12.93/13.18 (descr(^[V_3]: X2(V_3)) = descr(^[V_4]: X3(V_4))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(exuEu, axiom, exuEu <=> 12.93/13.18 (![Xphi:($i > $o)]: 12.93/13.18 (exu(^[Xx]: Xphi(Xx)) => 12.93/13.18 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 12.93/13.18 tff('224', plain, 12.93/13.18 exuEu = 12.93/13.18 (![X2:($i > $o)]: 12.93/13.18 (exu(^[V_1]: X2(V_1)) => (![X3,X4]: (X2(X3) => (X2(X4) => (X3 = X4)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(omega__Cong, axiom, omega__Cong <=> (omega = omega)). 12.93/13.18 tff('225', plain, omega__Cong = (omega = omega), define([status(thm)])). 12.93/13.18 tff(setunion__Cong, axiom, setunion__Cong <=> 12.93/13.18 (![A,B]: ((A = B) => (setunion(A) = setunion(B))))). 12.93/13.18 tff('226', plain, 12.93/13.18 setunion__Cong = (![X2,X3]: ((X2 = X3) => (setunion(X2) = setunion(X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(powerset__Cong, axiom, powerset__Cong <=> 12.93/13.18 (![A,B]: ((A = B) => (powerset(A) = powerset(B))))). 12.93/13.18 tff('227', plain, 12.93/13.18 powerset__Cong = (![X2,X3]: ((X2 = X3) => (powerset(X2) = powerset(X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setadjoin__Cong, axiom, setadjoin__Cong <=> 12.93/13.18 (![Xx,Xy]: 12.93/13.18 ((Xx = Xy) => 12.93/13.18 (![Xz,Xu]: ((Xz = Xu) => (setadjoin(Xx,Xz) = setadjoin(Xy,Xu))))))). 12.93/13.18 tff('228', plain, 12.93/13.18 setadjoin__Cong = 12.93/13.18 (![X2,X3]: 12.93/13.18 ((X2 = X3) => 12.93/13.18 (![X4,X5]: ((X4 = X5) => (setadjoin(X2,X4) = setadjoin(X3,X5)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(emptyset__Cong, axiom, emptyset__Cong <=> (emptyset = emptyset)). 12.93/13.18 tff('229', plain, emptyset__Cong = (emptyset = emptyset), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(exu__Cong, axiom, exu__Cong <=> 12.93/13.18 (![Xphi:($i > $o),Xpsi:($i > $o)]: 12.93/13.18 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 12.93/13.18 (exu(^[Xx]: Xphi(Xx)) <=> exu(^[Xx]: Xpsi(Xx)))))). 12.93/13.18 tff('230', plain, 12.93/13.18 exu__Cong = 12.93/13.18 (![X2:($i > $o),X3:($i > $o)]: 12.93/13.18 ((![X4,X5]: ((X4 = X5) => (X2(X4) <=> X3(X5)))) => 12.93/13.18 (exu(^[V_1]: X2(V_1)) <=> exu(^[V_2]: X3(V_2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(exuE3u, axiom, exuE3u <=> 12.93/13.18 (![Xphi:($i > $o)]: 12.93/13.18 (exu(^[Xx]: Xphi(Xx)) => 12.93/13.18 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 12.93/13.18 tff('231', plain, 12.93/13.18 exuE3u = 12.93/13.18 (![X2:($i > $o)]: 12.93/13.18 (exu(^[V_1]: X2(V_1)) => (![X3,X4]: (X2(X3) => (X2(X4) => (X3 = X4)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(in__Cong, axiom, in__Cong <=> 12.93/13.18 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) <=> in(Xy,B))))))). 12.93/13.18 tff('232', plain, 12.93/13.18 in__Cong = 12.93/13.18 (![X2,X3]: 12.93/13.18 ((X2 = X3) => (![X4,X5]: ((X4 = X5) => (in(X4,X2) <=> in(X5,X3)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(inCongP, axiom, inCongP <=> 12.93/13.18 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) => in(Xy,B))))))). 12.93/13.18 tff('233', plain, 12.93/13.18 inCongP = 12.93/13.18 (![X2,X3]: 12.93/13.18 ((X2 = X3) => (![X4,X5]: ((X4 = X5) => (in(X4,X2) => in(X5,X3)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(exuI2, axiom, exuI2 <=> 12.93/13.18 (![Xphi:($i > $o)]: 12.93/13.18 ((?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx)))) => exu(^[Xx]: Xphi(Xx))))). 12.93/13.18 tff('234', plain, 12.93/13.18 exuI2 = 12.93/13.18 (![X2:($i > $o)]: 12.93/13.18 ((?[X3]: (![X4]: (X2(X4) <=> (X4 = X3)))) => exu(^[V_1]: X2(V_1)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(exuI3, axiom, exuI3 <=> 12.93/13.18 (![Xphi:($i > $o)]: 12.93/13.18 ((?[Xx]: Xphi(Xx)) => 12.93/13.18 ((![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))) => 12.93/13.18 exu(^[Xx]: Xphi(Xx)))))). 12.93/13.18 tff('235', plain, 12.93/13.18 exuI3 = 12.93/13.18 (![X2:($i > $o)]: 12.93/13.18 ((?[X3]: X2(X3)) => 12.93/13.18 ((![X4,X5]: (X2(X4) => (X2(X5) => (X4 = X5)))) => 12.93/13.18 exu(^[V_1]: X2(V_1))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(exuI1, axiom, exuI1 <=> 12.93/13.18 (![Xphi:($i > $o)]: 12.93/13.18 ((?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx))) => 12.93/13.18 exu(^[Xx]: Xphi(Xx))))). 12.93/13.18 tff('236', plain, 12.93/13.18 exuI1 = 12.93/13.18 (![X2:($i > $o)]: 12.93/13.18 ((?[X3]: ((![X4]: (X2(X4) => (X3 = X4))) & X2(X3))) => 12.93/13.18 exu(^[V_1]: X2(V_1)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(notdallE, axiom, notdallE <=> 12.93/13.18 (![A,Xphi:($i > $o)]: 12.93/13.18 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 12.93/13.18 tff('237', plain, 12.93/13.18 notdallE = 12.93/13.18 (![X2,X3:($i > $o)]: 12.93/13.18 ((~(![X4]: (in(X4,X2) => X3(X4)))) => (?[X5]: ((~X3(X5)) & in(X5,X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(notdexE, axiom, notdexE <=> 12.93/13.18 (![A,Xphi:($i > $o)]: 12.93/13.18 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 12.93/13.18 tff('238', plain, 12.93/13.18 notdexE = 12.93/13.18 (![X2,X3:($i > $o)]: 12.93/13.18 ((~(?[X4]: (X3(X4) & in(X4,X2)))) => (![X5]: (in(X5,X2) => (~X3(X5)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(prop2set2propI, axiom, prop2set2propI <=> 12.93/13.18 (![Xphi:$o]: (Xphi => set2prop(prop2set(Xphi))))). 12.93/13.18 tff('239', plain, 12.93/13.18 prop2set2propI = (![X2:$o]: (X2 => set2prop(prop2set(X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(prop2setI, axiom, prop2setI <=> 12.93/13.18 (![Xphi:$o]: (Xphi => in(emptyset,prop2set(Xphi))))). 12.93/13.18 tff('240', plain, prop2setI = (![X2:$o]: (X2 => in(emptyset,prop2set(X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(quantDeMorgan4, axiom, quantDeMorgan4 <=> 12.93/13.18 (![A,Xphi:($i > $o)]: 12.93/13.18 ((?[Xx]: ((~Xphi(Xx)) & in(Xx,A))) => (~(![Xx]: (in(Xx,A) => Xphi(Xx))))))). 12.93/13.18 tff('241', plain, 12.93/13.18 quantDeMorgan4 = 12.93/13.18 (![X2,X3:($i > $o)]: 12.93/13.18 ((?[X4]: ((~X3(X4)) & in(X4,X2))) => (~(![X5]: (in(X5,X2) => X3(X5)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(quantDeMorgan3, axiom, quantDeMorgan3 <=> 12.93/13.18 (![A,Xphi:($i > $o)]: 12.93/13.18 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 12.93/13.18 tff('242', plain, 12.93/13.18 quantDeMorgan3 = 12.93/13.18 (![X2,X3:($i > $o)]: 12.93/13.18 ((~(?[X4]: (X3(X4) & in(X4,X2)))) => (![X5]: (in(X5,X2) => (~X3(X5)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(quantDeMorgan2, axiom, quantDeMorgan2 <=> 12.93/13.18 (![A,Xphi:($i > $o)]: 12.93/13.18 ((![Xx]: (in(Xx,A) => (~Xphi(Xx)))) => (~(?[Xx]: (Xphi(Xx) & in(Xx,A))))))). 12.93/13.18 tff('243', plain, 12.93/13.18 quantDeMorgan2 = 12.93/13.18 (![X2,X3:($i > $o)]: 12.93/13.18 ((![X4]: (in(X4,X2) => (~X3(X4)))) => (~(?[X5]: (X3(X5) & in(X5,X2)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(quantDeMorgan1, axiom, quantDeMorgan1 <=> 12.93/13.18 (![A,Xphi:($i > $o)]: 12.93/13.18 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 12.93/13.18 tff('244', plain, 12.93/13.18 quantDeMorgan1 = 12.93/13.18 (![X2,X3:($i > $o)]: 12.93/13.18 ((~(![X4]: (in(X4,X2) => X3(X4)))) => (?[X5]: ((~X3(X5)) & in(X5,X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(vacuousDall, axiom, vacuousDall <=> 12.93/13.18 (![Xphi:($i > $o),Xx]: (in(Xx,emptyset) => Xphi(Xx)))). 12.93/13.18 tff('245', plain, 12.93/13.18 vacuousDall = (![X2:($i > $o),X3]: (in(X3,emptyset) => X2(X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(emptyE1, axiom, emptyE1 <=> 12.93/13.18 (![A,Xphi:($i > $o)]: 12.93/13.18 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 12.93/13.18 ((dsetconstr(A,^[Xx]: Xphi(Xx)) = emptyset) => $false)))). 12.93/13.18 tff('246', plain, 12.93/13.18 emptyE1 = 12.93/13.18 (![X2,X3:($i > $o)]: 12.93/13.18 ((?[X4]: (X3(X4) & in(X4,X2))) => 12.93/13.18 ((dsetconstr(X2,^[V_1]: X3(V_1)) = emptyset) => $false))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(upairsetIR, axiom, upairsetIR <=> 12.93/13.18 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 12.93/13.18 tff('247', plain, 12.93/13.18 upairsetIR = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(upairsetIL, axiom, upairsetIL <=> 12.93/13.18 (![Xx,Xy]: in(Xx,setadjoin(Xx,setadjoin(Xy,emptyset))))). 12.93/13.18 tff('248', plain, 12.93/13.18 upairsetIL = (![X2,X3]: in(X2,setadjoin(X2,setadjoin(X3,emptyset)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(upairsetE, axiom, upairsetE <=> 12.93/13.18 (![Xx,Xy,Xz]: 12.93/13.18 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xy) | (Xz = Xx))))). 12.93/13.18 tff('249', plain, 12.93/13.18 upairsetE = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,setadjoin(X2,setadjoin(X3,emptyset))) => 12.93/13.18 ((X4 = X3) | (X4 = X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(singletonsswitch, axiom, singletonsswitch <=> 12.93/13.18 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => in(Xy,setadjoin(Xx,emptyset))))). 12.93/13.18 tff('250', plain, 12.93/13.18 singletonsswitch = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X2,setadjoin(X3,emptyset)) => in(X3,setadjoin(X2,emptyset)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(eqinunit, axiom, eqinunit <=> 12.93/13.18 (![Xx,Xy]: ((Xx = Xy) => in(Xx,setadjoin(Xy,emptyset))))). 12.93/13.18 tff('251', plain, 12.93/13.18 eqinunit = (![X2,X3]: ((X2 = X3) => in(X2,setadjoin(X3,emptyset)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(notinsingleton, axiom, notinsingleton <=> 12.93/13.18 (![Xx,Xy]: ((Xx != Xy) => (~in(Xy,setadjoin(Xx,emptyset)))))). 12.93/13.18 tff('252', plain, 12.93/13.18 notinsingleton = 12.93/13.18 (![X2,X3]: ((X2 != X3) => (~in(X3,setadjoin(X2,emptyset))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(uniqinunit, axiom, uniqinunit <=> 12.93/13.18 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => (Xx = Xy)))). 12.93/13.18 tff('253', plain, 12.93/13.18 uniqinunit = (![X2,X3]: (in(X2,setadjoin(X3,emptyset)) => (X2 = X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(nonemptyImpWitness, axiom, nonemptyImpWitness <=> 12.93/13.18 (![A]: (nonempty(A) => (?[Xx]: (in(Xx,A)))))). 12.93/13.18 tff('254', plain, 12.93/13.18 nonemptyImpWitness = (![X2]: (nonempty(X2) => (?[X3]: (in(X3,X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(exuE2, axiom, exuE2 <=> 12.93/13.18 (![Xphi:($i > $o)]: 12.93/13.18 (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx))))))). 12.93/13.18 tff('255', plain, 12.93/13.18 exuE2 = 12.93/13.18 (![X2:($i > $o)]: 12.93/13.18 (exu(^[V_1]: X2(V_1)) => (?[X3]: (![X4]: (X2(X4) <=> (X4 = X3)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(subPowSU, axiom, subPowSU <=> 12.93/13.18 (![A,Xx]: (in(Xx,A) => in(Xx,powerset(setunion(A)))))). 12.93/13.18 tff('256', plain, 12.93/13.18 subPowSU = (![X2,X3]: (in(X3,X2) => in(X3,powerset(setunion(X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setunionE, axiom, setunionE <=> 12.93/13.18 (![A,Xx]: 12.93/13.18 (in(Xx,setunion(A)) => 12.93/13.18 (![Xphi:$o]: ((![B]: (in(Xx,B) => (in(B,A) => Xphi))) => Xphi))))). 12.93/13.18 tff('257', plain, 12.93/13.18 setunionE = 12.93/13.18 (![X2,X3]: 12.93/13.18 (in(X3,setunion(X2)) => 12.93/13.18 (![X4:$o]: ((![X5]: (in(X3,X5) => (in(X5,X2) => X4))) => X4)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setunionI, axiom, setunionI <=> 12.93/13.18 (![A,Xx,B]: (in(Xx,B) => (in(B,A) => in(Xx,setunion(A)))))). 12.93/13.18 tff('258', plain, 12.93/13.18 setunionI = 12.93/13.18 (![X2,X3,X4]: (in(X3,X4) => (in(X4,X2) => in(X3,setunion(X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(powersetE, axiom, powersetE <=> 12.93/13.18 (![A,B,Xx]: (in(B,powerset(A)) => (in(Xx,B) => in(Xx,A))))). 12.93/13.18 tff('259', plain, 12.93/13.18 powersetE = 12.93/13.18 (![X2,X3,X4]: (in(X3,powerset(X2)) => (in(X4,X3) => in(X4,X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(emptyInPowerset, axiom, emptyInPowerset <=> 12.93/13.18 (![A]: in(emptyset,powerset(A)))). 12.93/13.18 tff('260', plain, emptyInPowerset = (![X2]: in(emptyset,powerset(X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(emptyinPowerset, axiom, emptyinPowerset <=> 12.93/13.18 (![A]: in(emptyset,powerset(A)))). 12.93/13.18 tff('261', plain, emptyinPowerset = (![X2]: in(emptyset,powerset(X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(powersetI, axiom, powersetI <=> 12.93/13.18 (![A,B]: ((![Xx]: (in(Xx,B) => in(Xx,A))) => in(B,powerset(A))))). 12.93/13.18 tff('262', plain, 12.93/13.18 powersetI = 12.93/13.18 (![X2,X3]: ((![X4]: (in(X4,X3) => in(X4,X2))) => in(X3,powerset(X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setoftrueEq, axiom, setoftrueEq <=> 12.93/13.18 (![A]: (dsetconstr(A,^[Xx]: $true) = A))). 12.93/13.18 tff('263', plain, setoftrueEq = (![X2]: (dsetconstr(X2,^[V_1]: $true) = X2)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setadjoinOr, axiom, setadjoinOr <=> 12.93/13.18 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) => (in(Xy,A) | (Xy = Xx))))). 12.93/13.18 tff('264', plain, 12.93/13.18 setadjoinOr = 12.93/13.18 (![X2,X3,X4]: (in(X4,setadjoin(X2,X3)) => (in(X4,X3) | (X4 = X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setadjoinE, axiom, setadjoinE <=> 12.93/13.18 (![Xx,A,Xy]: 12.93/13.18 (in(Xy,setadjoin(Xx,A)) => 12.93/13.18 (![Xphi:$o]: (((Xy = Xx) => Xphi) => ((in(Xy,A) => Xphi) => Xphi)))))). 12.93/13.18 tff('265', plain, 12.93/13.18 setadjoinE = 12.93/13.18 (![X2,X3,X4]: 12.93/13.18 (in(X4,setadjoin(X2,X3)) => 12.93/13.18 (![X5:$o]: (((X4 = X2) => X5) => ((in(X4,X3) => X5) => X5))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setadjoinIR, axiom, setadjoinIR <=> 12.93/13.18 (![Xx,A,Xy]: (in(Xy,A) => in(Xy,setadjoin(Xx,A))))). 12.93/13.18 tff('266', plain, 12.93/13.18 setadjoinIR = (![X2,X3,X4]: (in(X4,X3) => in(X4,setadjoin(X2,X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(emptyinunitempty, axiom, emptyinunitempty() = 12.93/13.18 in(emptyset,setadjoin(emptyset,emptyset))). 12.93/13.18 tff('267', plain, 12.93/13.18 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setadjoinIL, axiom, setadjoinIL <=> (![Xx,Xy]: in(Xx,setadjoin(Xx,Xy)))). 12.93/13.18 tff('268', plain, setadjoinIL = (![X2,X3]: in(X2,setadjoin(X2,X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(nonemptyI1, axiom, nonemptyI1 <=> 12.93/13.18 (![A]: ((?[Xx]: in(Xx,A)) => nonempty(A)))). 12.93/13.18 tff('269', plain, nonemptyI1 = (![X2]: ((?[X3]: in(X3,X2)) => nonempty(X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(nonemptyI, axiom, nonemptyI <=> 12.93/13.18 (![A,Xphi:($i > $o),Xx]: 12.93/13.18 (in(Xx,A) => (Xphi(Xx) => nonempty(dsetconstr(A,^[Xy]: Xphi(Xy))))))). 12.93/13.18 tff('270', plain, 12.93/13.18 nonemptyI = 12.93/13.18 (![X2,X3:($i > $o),X4]: 12.93/13.18 (in(X4,X2) => (X3(X4) => nonempty(dsetconstr(X2,^[V_1]: X3(V_1)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(nonemptyE1, axiom, nonemptyE1 <=> 12.93/13.18 (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))). 12.93/13.18 tff('271', plain, nonemptyE1 = (![X2]: (nonempty(X2) => (?[X3]: in(X3,X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(nonempty, axiom, nonempty() = ^[Xx]: (Xx != emptyset)). 12.93/13.18 tff('272', plain, nonempty = (^[V_1]: (V_1 != emptyset)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setbeta, axiom, setbeta <=> 12.93/13.18 (![A,Xphi:($i > $o),Xx]: 12.93/13.18 (in(Xx,A) => (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) <=> Xphi(Xx))))). 12.93/13.18 tff('273', plain, 12.93/13.18 setbeta = 12.93/13.18 (![X2,X3:($i > $o),X4]: 12.93/13.18 (in(X4,X2) => (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) <=> X3(X4)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(noeltsimpempty, axiom, noeltsimpempty <=> 12.93/13.18 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 12.93/13.18 tff('274', plain, 12.93/13.18 noeltsimpempty = (![X2]: ((![X3]: (~in(X3,X2))) => (X2 = emptyset))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(emptyI, axiom, emptyI <=> 12.93/13.18 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 12.93/13.18 tff('275', plain, 12.93/13.18 emptyI = (![X2]: ((![X3]: (~in(X3,X2))) => (X2 = emptyset))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setext, axiom, setext <=> 12.93/13.18 (![A,B]: 12.93/13.18 ((![Xx]: (in(Xx,A) => in(Xx,B))) => 12.93/13.18 ((![Xx]: (in(Xx,B) => in(Xx,A))) => (A = B))))). 12.93/13.18 tff('276', plain, 12.93/13.18 setext = 12.93/13.18 (![X2,X3]: 12.93/13.18 ((![X4]: (in(X4,X2) => in(X4,X3))) => 12.93/13.18 ((![X5]: (in(X5,X3) => in(X5,X2))) => (X2 = X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(exuE3e, axiom, exuE3e <=> 12.93/13.18 (![Xphi:($i > $o)]: (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: Xphi(Xx))))). 12.93/13.18 tff('277', plain, 12.93/13.18 exuE3e = (![X2:($i > $o)]: (exu(^[V_1]: X2(V_1)) => (?[X3]: X2(X3)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(notinemptyset, axiom, notinemptyset <=> (![Xx]: (~in(Xx,emptyset)))). 12.93/13.18 tff('278', plain, notinemptyset = (![X2]: (~in(X2,emptyset))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(emptysetimpfalse, axiom, emptysetimpfalse <=> 12.93/13.18 (![Xx]: (in(Xx,emptyset) => $false))). 12.93/13.18 tff('279', plain, emptysetimpfalse = (![X2]: (in(X2,emptyset) => $false)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(emptysetE, axiom, emptysetE <=> 12.93/13.18 (![Xx]: (in(Xx,emptyset) => (![Xphi:$o]: Xphi)))). 12.93/13.18 tff('280', plain, emptysetE = (![X2]: (in(X2,emptyset) => (![X3:$o]: X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(prop2setE, axiom, prop2setE <=> 12.93/13.18 (![Xphi:$o,Xx]: (in(Xx,prop2set(Xphi)) => Xphi))). 12.93/13.18 tff('281', plain, prop2setE = (![X2:$o,X3]: (in(X3,prop2set(X2)) => X2)), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(exuE1, axiom, exuE1 <=> 12.93/13.18 (![Xphi:($i > $o)]: 12.93/13.18 (exu(^[Xx]: Xphi(Xx)) => 12.93/13.18 (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))))). 12.93/13.18 tff('282', plain, 12.93/13.18 exuE1 = 12.93/13.18 (![X2:($i > $o)]: 12.93/13.18 (exu(^[V_1]: X2(V_1)) => 12.93/13.18 (?[X3]: ((![X4]: (X2(X4) => (X3 = X4))) & X2(X3))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(dsetconstrER, axiom, dsetconstrER <=> 12.93/13.18 (![A,Xphi:($i > $o),Xx]: (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => Xphi(Xx)))). 12.93/13.18 tff('283', plain, 12.93/13.18 dsetconstrER = 12.93/13.18 (![X2,X3:($i > $o),X4]: (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) => X3(X4))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(dsetconstrEL, axiom, dsetconstrEL <=> 12.93/13.18 (![A,Xphi:($i > $o),Xx]: (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => in(Xx,A)))). 12.93/13.18 tff('284', plain, 12.93/13.18 dsetconstrEL = 12.93/13.18 (![X2,X3:($i > $o),X4]: 12.93/13.18 (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) => in(X4,X2))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(dsetconstrI, axiom, dsetconstrI <=> 12.93/13.18 (![A,Xphi:($i > $o),Xx]: 12.93/13.18 (in(Xx,A) => (Xphi(Xx) => in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))))))). 12.93/13.18 tff('285', plain, 12.93/13.18 dsetconstrI = 12.93/13.18 (![X2,X3:($i > $o),X4]: 12.93/13.18 (in(X4,X2) => (X3(X4) => in(X4,dsetconstr(X2,^[V_1]: X3(V_1)))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(descrp, axiom, descrp <=> 12.93/13.18 (![Xphi:($i > $o)]: (exu(^[Xx]: Xphi(Xx)) => Xphi(descr(^[Xx]: Xphi(Xx)))))). 12.93/13.18 tff('286', plain, 12.93/13.18 descrp = 12.93/13.18 (![X2:($i > $o)]: (exu(^[V_1]: X2(V_1)) => X2(descr(^[V_2]: X2(V_2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(wellorderingAx, axiom, wellorderingAx <=> 12.93/13.18 (![A]: 12.93/13.18 (?[B]: 12.93/13.18 ((![C]: 12.93/13.18 (((?[Xx]: in(Xx,C)) & (![Xx]: (in(Xx,C) => in(Xx,A)))) => 12.93/13.18 (?[D,Xx]: 12.93/13.18 ((![E]: 12.93/13.18 (in(E,B) => (in(Xx,E) | (![Xy]: (in(Xy,E) => in(Xy,D)))))) & 12.93/13.18 (~(?[Xy]: (in(Xy,C) & in(Xy,D)))) & in(Xx,C) & in(D,B))))) & 12.93/13.18 (![C,D]: 12.93/13.18 ((in(D,B) & in(C,B)) => 12.93/13.18 ((![Xx]: (in(Xx,D) => in(Xx,C))) | 12.93/13.18 (![Xx]: (in(Xx,C) => in(Xx,D)))))) & 12.93/13.18 (![Xx,Xy]: 12.93/13.18 ((in(Xy,A) & in(Xx,A)) => 12.93/13.18 ((![C]: (in(C,B) => (in(Xx,C) <=> in(Xy,C)))) => (Xx = Xy)))) & 12.93/13.18 (![C]: (in(C,B) => (![Xx]: (in(Xx,C) => in(Xx,A))))))))). 12.93/13.18 tff('287', plain, 12.93/13.18 wellorderingAx = 12.93/13.18 (![X2]: 12.93/13.18 (?[X3]: 12.93/13.18 ((![X4]: 12.93/13.18 (((?[X5]: in(X5,X4)) & (![X6]: (in(X6,X4) => in(X6,X2)))) => 12.93/13.18 (?[X7,X8]: 12.93/13.18 ((![X9]: 12.93/13.18 (in(X9,X3) => 12.93/13.18 (in(X8,X9) | (![X10]: (in(X10,X9) => in(X10,X7)))))) & 12.93/13.18 (~(?[X11]: (in(X11,X4) & in(X11,X7)))) & in(X8,X4) & 12.93/13.18 in(X7,X3))))) & 12.93/13.18 (![X12,X13]: 12.93/13.18 ((in(X13,X3) & in(X12,X3)) => 12.93/13.18 ((![X14]: (in(X14,X13) => in(X14,X12))) | 12.93/13.18 (![X15]: (in(X15,X12) => in(X15,X13)))))) & 12.93/13.18 (![X16,X17]: 12.93/13.18 ((in(X17,X2) & in(X16,X2)) => 12.93/13.18 ((![X18]: (in(X18,X3) => (in(X16,X18) <=> in(X17,X18)))) => 12.93/13.18 (X16 = X17)))) & 12.93/13.18 (![X19]: (in(X19,X3) => (![X20]: (in(X20,X19) => in(X20,X2)))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(foundationAx, axiom, foundationAx <=> 12.93/13.18 (![A]: 12.93/13.18 ((?[Xx]: in(Xx,A)) => 12.93/13.18 (?[B]: ((~(?[Xx]: (in(Xx,A) & in(Xx,B)))) & in(B,A)))))). 12.93/13.18 tff('288', plain, 12.93/13.18 foundationAx = 12.93/13.18 (![X2]: 12.93/13.18 ((?[X3]: in(X3,X2)) => 12.93/13.18 (?[X4]: ((~(?[X5]: (in(X5,X2) & in(X5,X4)))) & in(X4,X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(replAx, axiom, replAx <=> 12.93/13.18 (![Xphi:(($i * $i) > $o),A]: 12.93/13.18 ((![Xx]: (in(Xx,A) => exu(^[Xy]: Xphi(Xx,Xy)))) => 12.93/13.18 (?[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: (Xphi(Xy,Xx) & in(Xy,A))))))))). 12.93/13.18 tff('289', plain, 12.93/13.18 replAx = 12.93/13.18 (![X2:(($i * $i) > $o),X3]: 12.93/13.18 ((![X4]: (in(X4,X3) => exu(^[V_1]: X2(X4,V_1)))) => 12.93/13.18 (?[X5]: (![X6]: (in(X6,X5) <=> (?[X7]: (X2(X7,X6) & in(X7,X3)))))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(omegaIndAx, axiom, omegaIndAx <=> 12.93/13.18 (![A]: 12.93/13.18 (((![Xx]: ((in(Xx,A) & in(Xx,omega)) => in(setadjoin(Xx,Xx),A))) & 12.93/13.18 in(emptyset,A)) => 12.93/13.18 (![Xx]: (in(Xx,omega) => in(Xx,A)))))). 12.93/13.18 tff('290', plain, 12.93/13.18 omegaIndAx = 12.93/13.18 (![X2]: 12.93/13.18 (((![X3]: ((in(X3,X2) & in(X3,omega)) => in(setadjoin(X3,X3),X2))) & 12.93/13.18 in(emptyset,X2)) => 12.93/13.18 (![X4]: (in(X4,omega) => in(X4,X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(omegaSAx, axiom, omegaSAx <=> 12.93/13.18 (![Xx]: (in(Xx,omega) => in(setadjoin(Xx,Xx),omega)))). 12.93/13.18 tff('291', plain, 12.93/13.18 omegaSAx = (![X2]: (in(X2,omega) => in(setadjoin(X2,X2),omega))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(omega0Ax, axiom, omega0Ax() = in(emptyset,omega)). 12.93/13.18 tff('292', plain, omega0Ax = in(emptyset,omega), define([status(thm)])). 12.93/13.18 tff(setunionAx, axiom, setunionAx <=> 12.93/13.18 (![A,Xx]: (in(Xx,setunion(A)) <=> (?[B]: (in(B,A) & in(Xx,B)))))). 12.93/13.18 tff('293', plain, 12.93/13.18 setunionAx = 12.93/13.18 (![X2,X3]: (in(X3,setunion(X2)) <=> (?[X4]: (in(X4,X2) & in(X3,X4))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(powersetAx, axiom, powersetAx <=> 12.93/13.18 (![A,B]: (in(B,powerset(A)) <=> (![Xx]: (in(Xx,B) => in(Xx,A)))))). 12.93/13.18 tff('294', plain, 12.93/13.18 powersetAx = 12.93/13.18 (![X2,X3]: (in(X3,powerset(X2)) <=> (![X4]: (in(X4,X3) => in(X4,X2))))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setadjoinAx, axiom, setadjoinAx <=> 12.93/13.18 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) <=> (in(Xy,A) | (Xy = Xx))))). 12.93/13.18 tff('295', plain, 12.93/13.18 setadjoinAx = 12.93/13.18 (![X2,X3,X4]: (in(X4,setadjoin(X2,X3)) <=> (in(X4,X3) | (X4 = X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(emptysetAx, axiom, emptysetAx <=> (![Xx]: (~in(Xx,emptyset)))). 12.93/13.18 tff('296', plain, emptysetAx = (![X2]: (~in(X2,emptyset))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(setextAx, axiom, setextAx <=> 12.93/13.18 (![A,B]: ((![Xx]: (in(Xx,A) <=> in(Xx,B))) => (A = B)))). 12.93/13.18 tff('297', plain, 12.93/13.18 setextAx = (![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(exu, axiom, exu() = 12.93/13.18 ^[Xphi:($i > $o)]: (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))). 12.93/13.18 tff('298', plain, 12.93/13.18 exu = 12.93/13.18 (^[V_1:($i > $o)]: (?[X2]: ((![X3]: (V_1(X3) => (X2 = X3))) & V_1(X2)))), 12.93/13.18 define([status(thm)])). 12.93/13.18 tff(breln1compprop, conjecture, 12.93/13.18 (setextAx => 12.93/13.18 (emptysetAx => 12.93/13.18 (setadjoinAx => 12.93/13.18 (powersetAx => 12.93/13.18 (setunionAx => 12.93/13.18 (omega0Ax => 12.93/13.18 (omegaSAx => 12.93/13.18 (omegaIndAx => 12.93/13.18 (replAx => 12.93/13.18 (foundationAx => 12.93/13.18 (wellorderingAx => 12.93/13.18 (descrp => 12.93/13.18 (dsetconstrI => 12.93/13.18 (dsetconstrEL => 12.93/13.18 (dsetconstrER => 12.93/13.18 (exuE1 => 12.93/13.18 (prop2setE => 12.93/13.18 (emptysetE => 12.93/13.18 (emptysetimpfalse => 12.93/13.18 (notinemptyset => 12.93/13.18 (exuE3e => 12.93/13.18 (setext => 12.93/13.18 (emptyI => 12.93/13.18 (noeltsimpempty => 12.93/13.18 (setbeta => 12.93/13.18 (nonemptyE1 => 12.93/13.18 (nonemptyI => 12.93/13.18 (nonemptyI1 => 12.93/13.18 (setadjoinIL => 12.93/13.18 (emptyinunitempty => 12.93/13.18 (setadjoinIR => 12.93/13.18 (setadjoinE => 12.93/13.18 (setadjoinOr => 12.93/13.18 (setoftrueEq => 12.93/13.18 (powersetI => 12.93/13.18 (emptyinPowerset => 12.93/13.18 (emptyInPowerset => 12.93/13.18 (powersetE => 12.93/13.18 (setunionI => 12.93/13.18 (setunionE => 12.93/13.18 (subPowSU => 12.93/13.18 (exuE2 => 12.93/13.18 (nonemptyImpWitness => 12.93/13.18 (uniqinunit => 12.93/13.18 (notinsingleton => 12.93/13.18 (eqinunit => 12.93/13.18 (singletonsswitch => 12.93/13.18 (upairsetE => 12.93/13.18 (upairsetIL => 12.93/13.18 (upairsetIR => 12.93/13.18 (emptyE1 => 12.93/13.18 (vacuousDall => 12.93/13.18 (quantDeMorgan1 => 12.93/13.18 (quantDeMorgan2 => 12.93/13.18 (quantDeMorgan3 => 12.93/13.18 (quantDeMorgan4 => 12.93/13.18 (prop2setI => 12.93/13.18 (prop2set2propI => 12.93/13.18 (notdexE => 12.93/13.18 (notdallE => 12.93/13.18 (exuI1 => 12.93/13.18 (exuI3 => 12.93/13.18 (exuI2 => 12.93/13.18 (inCongP => 12.93/13.18 (in__Cong => 12.93/13.18 (exuE3u => 12.93/13.18 ( 12.93/13.18 exu__Cong => 12.93/13.18 ( 12.93/13.18 emptyset__Cong => 12.93/13.18 ( 12.93/13.18 setadjoin__Cong => 12.93/13.18 ( 12.93/13.18 powerset__Cong => 12.93/13.18 ( 12.93/13.18 setunion__Cong => 12.93/13.18 ( 12.93/13.18 omega__Cong => 12.93/13.18 ( 12.93/13.18 exuEu => 12.93/13.18 ( 12.93/13.18 descr__Cong => 12.93/13.18 ( 12.93/13.18 dsetconstr__Cong => 12.93/13.18 ( 12.93/13.18 subsetI1 => 12.93/13.18 ( 12.93/13.18 eqimpsubset2 => 12.93/13.18 ( 12.93/13.18 eqimpsubset1 => 12.93/13.18 ( 12.93/13.18 subsetI2 => 12.93/13.18 ( 12.93/13.18 emptysetsubset => 12.93/13.18 ( 12.93/13.18 subsetE => 12.93/13.18 ( 12.93/13.18 subsetE2 => 12.93/13.18 ( 12.93/13.18 notsubsetI => 12.93/13.18 ( 12.93/13.18 notequalI1 => 12.93/13.18 ( 12.93/13.18 notequalI2 => 12.93/13.18 ( 12.93/13.18 subsetRefl => 12.93/13.18 ( 12.93/13.18 subsetTrans => 12.93/13.18 ( 12.93/13.18 setadjoinSub => 12.93/13.18 ( 12.93/13.18 setadjoinSub2 => 12.93/13.18 ( 12.93/13.18 subset2powerset => 12.93/13.18 ( 12.93/13.18 setextsub => 12.93/13.18 ( 12.93/13.18 subsetemptysetimpeq => 12.93/13.18 ( 12.93/13.18 powersetI1 => 12.93/13.18 ( 12.93/13.18 powersetE1 => 12.93/13.18 ( 12.93/13.18 inPowerset => 12.93/13.18 ( 12.93/13.18 powersetsubset => 12.93/13.18 ( 12.93/13.18 sepInPowerset => 12.93/13.18 ( 12.93/13.18 sepSubset => 12.93/13.18 ( 12.93/13.18 binunionIL => 12.93/13.18 ( 12.93/13.18 upairset2IR => 12.93/13.18 ( 12.93/13.18 binunionIR => 12.93/13.18 ( 12.93/13.18 binunionEcases => 12.93/13.18 ( 12.93/13.18 binunionE => 12.93/13.18 ( 12.93/13.18 binunionLsub => 12.93/13.18 ( 12.93/13.18 binunionRsub => 12.93/13.18 ( 12.93/13.18 binintersectI => 12.93/13.18 ( 12.93/13.18 binintersectSubset5 => 12.93/13.18 ( 12.93/13.18 binintersectEL => 12.93/13.18 ( 12.93/13.18 binintersectLsub => 12.93/13.18 ( 12.93/13.18 binintersectSubset2 => 12.93/13.18 ( 12.93/13.18 binintersectSubset3 => 12.93/13.18 ( 12.93/13.18 binintersectER => 12.93/13.18 ( 12.93/13.18 disjointsetsI1 => 12.93/13.18 ( 12.93/13.18 binintersectRsub => 12.93/13.18 ( 12.93/13.18 binintersectSubset4 => 12.93/13.18 ( 12.93/13.18 binintersectSubset1 => 12.93/13.18 ( 12.93/13.18 bs114d => 12.93/13.18 ( 12.93/13.18 setminusI => 12.93/13.18 ( 12.93/13.18 setminusEL => 12.93/13.18 ( 12.93/13.18 setminusER => 12.93/13.18 ( 12.93/13.18 setminusSubset2 => 12.93/13.18 ( 12.93/13.18 setminusERneg => 12.93/13.18 ( 12.93/13.18 setminusELneg => 12.93/13.18 ( 12.93/13.18 setminusILneg => 12.93/13.18 ( 12.93/13.18 setminusIRneg => 12.93/13.18 ( 12.93/13.18 setminusLsub => 12.93/13.18 ( 12.93/13.18 setminusSubset1 => 12.93/13.18 ( 12.93/13.18 symdiffE => 12.93/13.18 ( 12.93/13.18 symdiffI1 => 12.93/13.18 ( 12.93/13.18 symdiffI2 => 12.93/13.18 ( 12.93/13.18 symdiffIneg1 => 12.93/13.18 ( 12.93/13.18 symdiffIneg2 => 12.93/13.18 ( 12.93/13.18 secondinupair => 12.93/13.18 ( 12.93/13.18 setukpairIL => 12.93/13.18 ( 12.93/13.18 setukpairIR => 12.93/13.18 ( 12.93/13.18 kpairiskpair => 12.93/13.18 ( 12.93/13.18 kpairp => 12.93/13.18 ( 12.93/13.18 singletonsubset => 12.93/13.18 ( 12.93/13.18 singletoninpowerset => 12.93/13.18 ( 12.93/13.18 singletoninpowunion => 12.93/13.18 ( 12.93/13.18 upairset2E => 12.93/13.18 ( 12.93/13.18 upairsubunion => 12.93/13.18 ( 12.93/13.18 upairinpowunion => 12.93/13.18 ( 12.93/13.18 ubforcartprodlem1 => 12.93/13.18 ( 12.93/13.18 ubforcartprodlem2 => 12.93/13.18 ( 12.93/13.18 ubforcartprodlem3 => 12.93/13.18 ( 12.93/13.18 cartprodpairin => 12.93/13.18 ( 12.93/13.18 cartprodmempair1 => 12.93/13.18 ( 12.93/13.18 cartprodmempair => 12.93/13.18 ( 12.93/13.18 setunionE2 => 12.93/13.18 ( 12.93/13.18 setunionsingleton1 => 12.93/13.18 ( 12.93/13.18 setunionsingleton2 => 12.93/13.18 ( 12.93/13.18 setunionsingleton => 12.93/13.18 ( 12.93/13.18 singletonprop => 12.93/13.18 ( 12.93/13.18 ex1E1 => 12.93/13.18 ( 12.93/13.18 ex1I => 12.93/13.18 ( 12.93/13.18 ex1I2 => 12.93/13.18 ( 12.93/13.18 singletonsuniq => 12.93/13.18 ( 12.93/13.18 setukpairinjL1 => 12.93/13.18 ( 12.93/13.18 kfstsingleton => 12.93/13.18 ( 12.93/13.18 theprop => 12.93/13.18 ( 12.93/13.18 kfstpairEq => 12.93/13.18 ( 12.93/13.18 cartprodfstin => 12.93/13.18 ( 12.93/13.18 setukpairinjL2 => 12.93/13.18 ( 12.93/13.18 setukpairinjL => 12.93/13.18 ( 12.93/13.18 setukpairinjR11 => 12.93/13.18 ( 12.93/13.18 setukpairinjR12 => 12.93/13.18 ( 12.93/13.18 setukpairinjR1 => 12.93/13.18 ( 12.93/13.18 upairequniteq => 12.93/13.18 ( 12.93/13.18 setukpairinjR2 => 12.93/13.18 ( 12.93/13.18 setukpairinjR => 12.93/13.18 ( 12.93/13.18 ksndsingleton => 12.93/13.18 ( 12.93/13.18 ksndpairEq => 12.93/13.18 ( 12.93/13.18 kpairsurjEq => 12.93/13.18 ( 12.93/13.18 cartprodsndin => 12.93/13.18 ( 12.93/13.18 cartprodpairmemEL => 12.93/13.18 ( 12.93/13.18 cartprodpairmemER => 12.93/13.18 ( 12.93/13.18 cartprodmempaircEq => 12.93/13.18 ( 12.93/13.18 cartprodfstpairEq => 12.93/13.18 ( 12.93/13.18 cartprodsndpairEq => 12.93/13.18 ( 12.93/13.18 cartprodpairsurjEq => 12.93/13.18 ( 12.93/13.18 dpsetconstrI => 12.93/13.18 ( 12.93/13.18 dpsetconstrSub => 12.93/13.18 ( 12.93/13.18 setOfPairsIsBReln => 12.93/13.18 ( 12.93/13.18 dpsetconstrERa => 12.93/13.18 ( 12.93/13.18 dpsetconstrEL1 => 12.93/13.18 ( 12.93/13.18 dpsetconstrEL2 => 12.93/13.18 ( 12.93/13.18 dpsetconstrER => 12.93/13.18 ( 12.93/13.18 funcImageSingleton => 12.93/13.18 ( 12.93/13.18 apProp => 12.93/13.18 ( 12.93/13.18 app => 12.93/13.18 ( 12.93/13.18 infuncsetfunc => 12.93/13.18 ( 12.93/13.18 ap2p => 12.93/13.18 ( 12.93/13.18 funcinfuncset => 12.93/13.18 ( 12.93/13.18 lamProp => 12.93/13.18 ( 12.93/13.18 lamp => 12.93/13.18 ( 12.93/13.18 lam2p => 12.93/13.18 ( 12.93/13.18 brelnall1 => 12.93/13.18 ( 12.93/13.18 brelnall2 => 12.93/13.18 ( 12.93/13.18 ex1E2 => 12.93/13.18 ( 12.93/13.18 funcGraphProp1 => 12.93/13.18 ( 12.93/13.18 funcGraphProp3 => 12.93/13.18 ( 12.93/13.18 funcGraphProp2 => 12.93/13.18 ( 12.93/13.18 funcextLem => 12.93/13.18 ( 12.93/13.18 funcGraphProp4 => 12.93/13.18 ( 12.93/13.18 subbreln => 12.93/13.18 ( 12.93/13.18 eqbreln => 12.93/13.18 ( 12.93/13.18 funcext => 12.93/13.18 ( 12.93/13.18 funcext2 => 12.93/13.18 ( 12.93/13.18 ap2apEq1 => 12.93/13.18 ( 12.93/13.18 ap2apEq2 => 12.93/13.18 ( 12.93/13.18 beta1 => 12.93/13.18 ( 12.93/13.18 eta1 => 12.93/13.18 ( 12.93/13.18 lam2lamEq => 12.93/13.18 ( 12.93/13.18 beta2 => 12.93/13.18 ( 12.93/13.18 eta2 => 12.93/13.18 ( 12.93/13.18 iffalseProp1 => 12.93/13.18 ( 12.93/13.18 iffalseProp2 => 12.93/13.18 ( 12.93/13.18 iftrueProp1 => 12.93/13.18 ( 12.93/13.18 iftrueProp2 => 12.93/13.18 ( 12.93/13.18 ifSingleton => 12.93/13.18 ( 12.93/13.18 ifp => 12.93/13.18 ( 12.93/13.18 theeq => 12.93/13.18 ( 12.93/13.18 iftrue => 12.93/13.18 ( 12.93/13.18 iffalse => 12.93/13.18 ( 12.93/13.18 iftrueorfalse => 12.93/13.18 ( 12.93/13.18 binintersectT_lem => 12.93/13.18 ( 12.93/13.18 binunionT_lem => 12.93/13.18 ( 12.93/13.18 powersetT_lem => 12.93/13.18 ( 12.93/13.18 setminusT_lem => 12.93/13.18 ( 12.93/13.18 complementT_lem => 12.93/13.18 ( 12.93/13.18 setextT => 12.93/13.18 ( 12.93/13.18 subsetTI => 12.93/13.18 ( 12.93/13.18 powersetTI1 => 12.93/13.18 ( 12.93/13.18 powersetTE1 => 12.93/13.18 ( 12.93/13.18 complementTI1 => 12.93/13.18 ( 12.93/13.18 complementTE1 => 12.93/13.18 ( 12.93/13.18 binintersectTELcontra => 12.93/13.18 ( 12.93/13.18 binintersectTERcontra => 12.93/13.18 ( 12.93/13.18 contrasubsetT => 12.93/13.18 ( 12.93/13.18 contrasubsetT1 => 12.93/13.18 ( 12.93/13.18 contrasubsetT2 => 12.93/13.18 ( 12.93/13.18 contrasubsetT3 => 12.93/13.18 ( 12.93/13.18 doubleComplementI1 => 12.93/13.18 ( 12.93/13.18 doubleComplementE1 => 12.93/13.18 ( 12.93/13.18 doubleComplementSub1 => 12.93/13.18 ( 12.93/13.18 doubleComplementSub2 => 12.93/13.18 ( 12.93/13.18 doubleComplementEq => 12.93/13.18 ( 12.93/13.18 complementTnotintersectT => 12.93/13.18 ( 12.93/13.18 complementImpComplementIntersect => 12.93/13.18 ( 12.93/13.18 complementSubsetComplementIntersect => 12.93/13.18 ( 12.93/13.18 complementInPowersetComplementIntersect => 12.93/13.18 ( 12.93/13.18 contraSubsetComplement => 12.93/13.18 ( 12.93/13.18 complementTcontraSubset => 12.93/13.18 ( 12.93/13.18 binunionTILcontra => 12.93/13.18 ( 12.93/13.18 binunionTIRcontra => 12.93/13.18 ( 12.93/13.18 inIntersectImpInUnion => 12.93/13.18 ( 12.93/13.18 inIntersectImpInUnion2 => 12.93/13.18 ( 12.93/13.18 inIntersectImpInIntersectUnions => 12.93/13.18 ( 12.93/13.18 intersectInPowersetIntersectUnions => 12.93/13.18 ( 12.93/13.18 inComplementUnionImpNotIn1 => 12.93/13.18 ( 12.93/13.18 inComplementUnionImpInComplement1 => 12.93/13.18 ( 12.93/13.18 binunionTE => 12.93/13.18 ( 12.93/13.18 binunionTEcontra => 12.93/13.18 ( 12.93/13.18 demorgan2a1 => 12.93/13.18 ( 12.93/13.18 complementUnionInPowersetComplement => 12.93/13.18 ( 12.93/13.18 demorgan2a2 => 12.93/13.18 ( 12.93/13.18 demorgan1a => 12.93/13.18 ( 12.93/13.18 demorgan1b => 12.93/13.18 ( 12.93/13.18 demorgan1 => 12.93/13.18 ( 12.93/13.18 demorgan2a => 12.93/13.18 ( 12.93/13.18 demorgan2b2 => 12.93/13.18 ( 12.93/13.18 demorgan2b => 12.93/13.18 ( 12.93/13.18 demorgan2 => 12.93/13.18 ( 12.93/13.18 woz13rule0 => 12.93/13.18 ( 12.93/13.18 woz13rule1 => 12.93/13.18 ( 12.93/13.18 woz13rule2 => 12.93/13.18 ( 12.93/13.18 woz13rule3 => 12.93/13.18 ( 12.93/13.18 woz13rule4 => 12.93/13.18 ( 12.93/13.18 woz1_1 => 12.93/13.18 ( 12.93/13.18 woz1_2 => 12.93/13.18 ( 12.93/13.18 woz1_3 => 12.93/13.18 ( 12.93/13.18 woz1_4 => 12.93/13.18 ( 12.93/13.18 woz1_5 => 12.93/13.18 ( 12.93/13.18 breln1all2 => 12.93/13.18 ( 12.93/13.18 breln1SetBreln1 => 12.93/13.18 ( 12.93/13.18 choice2fnsingleton => 12.93/13.18 ( 12.93/13.18 setOfPairsIsBReln1 => 12.93/13.18 ( 12.93/13.18 breln1all1 => 12.93/13.18 ( 12.93/13.18 subbreln1 => 12.93/13.18 ( 12.93/13.18 eqbreln1 => 12.93/13.18 ( 12.93/13.18 breln1invprop => 12.93/13.18 ( 12.93/13.18 breln1invI => 12.93/13.18 ( 12.93/13.18 breln1invE => 12.93/13.18 ( 12.93/13.18 ![A,R]: 12.93/13.18 (breln1( 12.93/13.18 A,R) => 12.93/13.18 (![S]: 12.93/13.18 (breln1( 12.93/13.18 A,S) => 12.93/13.18 breln1( 12.93/13.18 A, 12.93/13.18 breln1compset( 12.93/13.18 A,R,S))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 12.93/13.18 tff(zf_stmt_0, conjecture, 12.93/13.18 ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) => 12.93/13.18 ((![X5]: (~in(X5,emptyset))) => 12.93/13.18 ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> ((X8 = X6) | in(X8,X7)))) => 12.93/13.18 ((![X9,X10]: 12.93/13.18 (in(X10,powerset(X9)) <=> (![X11]: (in(X11,X10) => in(X11,X9))))) => 12.93/13.18 ((![X12,X13]: 12.93/13.18 (in(X13,setunion(X12)) <=> (?[X14]: (in(X13,X14) & in(X14,X12))))) => 12.93/13.18 (in(emptyset,omega) => 12.93/13.18 ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) => 12.93/13.18 ((![X16]: 12.93/13.18 ((in(emptyset,X16) & 12.93/13.18 (![X17]: 12.93/13.18 ((in(X17,omega) & in(X17,X16)) => 12.93/13.18 in(setadjoin(X17,X17),X16)))) => 12.93/13.18 (![X18]: (in(X18,omega) => in(X18,X16))))) => 12.93/13.18 ((![X19:(($i * $i) > $o),X20]: 12.93/13.18 ((![X21]: 12.93/13.18 (in(X21,X20) => 12.93/13.18 (?[X22]: 12.93/13.18 (X19(X21,X22) & (![X23]: (X19(X21,X23) => (X22 = X23))))))) => 12.93/13.18 (?[X24]: 12.93/13.18 (![X25]: 12.93/13.18 (in(X25,X24) <=> (?[X26]: (in(X26,X20) & X19(X26,X25)))))))) => 12.93/13.18 ((![X27]: 12.93/13.18 ((?[X28]: in(X28,X27)) => 12.93/13.18 (?[X29]: 12.93/13.18 (in(X29,X27) & (~(?[X30]: (in(X30,X29) & in(X30,X27)))))))) => 12.93/13.18 ((![X31]: 12.93/13.18 (?[X32]: 12.93/13.18 ((![X48]: 12.93/13.18 (in(X48,X32) => (![X49]: (in(X49,X48) => in(X49,X31))))) & 12.93/13.18 (![X45,X46]: 12.93/13.18 ((in(X45,X31) & in(X46,X31)) => 12.93/13.18 ((![X47]: 12.93/13.18 (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) => 12.93/13.18 (X45 = X46)))) & 12.93/13.18 (![X41,X42]: 12.93/13.18 ((in(X41,X32) & in(X42,X32)) => 12.93/13.18 ((![X44]: (in(X44,X41) => in(X44,X42))) | 12.93/13.18 (![X43]: (in(X43,X42) => in(X43,X41)))))) & 12.93/13.18 (![X33]: 12.93/13.18 (((![X35]: (in(X35,X33) => in(X35,X31))) & 12.93/13.18 (?[X34]: in(X34,X33))) => 12.93/13.18 (?[X36,X37]: 12.93/13.18 (in(X36,X32) & in(X37,X33) & 12.93/13.18 (~(?[X40]: (in(X40,X36) & in(X40,X33)))) & 12.93/13.18 (![X38]: 12.93/13.18 (in(X38,X32) => 12.93/13.18 ((![X39]: (in(X39,X38) => in(X39,X36))) | 12.93/13.18 in(X37,X38))))))))))) => 12.93/13.18 ((![X50:($i > $o)]: 12.93/13.18 ((?[X51]: (X50(X51) & (![X52]: (X50(X52) => (X51 = X52))))) => 12.93/13.18 X50(descr(^[V_1]: X50(V_1))))) => 12.93/13.18 ((![X53,X54:($i > $o),X55]: 12.93/13.18 (in(X55,X53) => 12.93/13.18 (X54(X55) => in(X55,dsetconstr(X53,^[V_2]: X54(V_2)))))) => 12.93/13.18 ((![X56,X57:($i > $o),X58]: 12.93/13.18 (in(X58,dsetconstr(X56,^[V_3]: X57(V_3))) => in(X58,X56))) => 12.93/13.18 ((![X59,X60:($i > $o),X61]: 12.93/13.18 (in(X61,dsetconstr(X59,^[V_4]: X60(V_4))) => X60(X61))) => 12.93/13.18 ((![X62:($i > $o)]: 12.93/13.18 ((?[X63]: 12.93/13.18 (X62(X63) & (![X64]: (X62(X64) => (X63 = X64))))) => 12.93/13.18 (?[X65]: 12.93/13.18 (X62(X65) & (![X66]: (X62(X66) => (X65 = X66))))))) => 12.93/13.18 ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) => 12.93/13.18 ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) => 12.93/13.18 ((![X71]: (in(X71,emptyset) => $false)) => 12.93/13.18 ((![X72]: (~in(X72,emptyset))) => 12.93/13.18 ((![X73:($i > $o)]: 12.93/13.18 ((?[X74]: 12.93/13.18 (X73(X74) & (![X75]: (X73(X75) => (X74 = X75))))) => 12.93/13.18 (?[X76]: X73(X76)))) => 12.93/13.18 ((![X77,X78]: 12.93/13.18 ((![X79]: (in(X79,X77) => in(X79,X78))) => 12.93/13.18 ((![X80]: (in(X80,X78) => in(X80,X77))) => 12.93/13.18 (X77 = X78)))) => 12.93/13.18 ((![X81]: 12.93/13.18 ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) => 12.93/13.18 ((![X83]: 12.93/13.18 ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) => 12.93/13.18 ((![X85,X86:($i > $o),X87]: 12.93/13.18 (in(X87,X85) => 12.93/13.18 (in(X87,dsetconstr(X85,^[V_5]: X86(V_5))) <=> 12.93/13.18 X86(X87)))) => 12.93/13.18 ((![X88]: 12.93/13.18 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) => 12.93/13.18 ((![X90,X91:($i > $o),X92]: 12.93/13.18 (in(X92,X90) => 12.93/13.18 (X91(X92) => 12.93/13.18 (dsetconstr(X90,^[V_6]: X91(V_6)) != 12.93/13.18 emptyset)))) => 12.93/13.18 ((![X93]: 12.93/13.18 ((?[X94]: in(X94,X93)) => (X93 != emptyset))) => 12.93/13.18 ((![X95,X96]: in(X95,setadjoin(X95,X96))) => 12.93/13.18 (in(emptyset,setadjoin(emptyset,emptyset)) => 12.93/13.18 ((![X97,X98,X99]: 12.93/13.18 (in(X99,X98) => 12.93/13.18 in(X99,setadjoin(X97,X98)))) => 12.93/13.18 ((![X100,X101,X102]: 12.93/13.18 (in(X102,setadjoin(X100,X101)) => 12.93/13.18 (![X103:$o]: 12.93/13.18 (((X102 = X100) => X103) => 12.93/13.18 ((in(X102,X101) => X103) => X103))))) => 12.93/13.18 ((![X104,X105,X106]: 12.93/13.18 (in(X106,setadjoin(X104,X105)) => 12.93/13.18 ((X106 = X104) | in(X106,X105)))) => 12.93/13.18 ((![X107]: 12.93/13.18 (dsetconstr(X107,^[V_7]: $true) = X107)) => 12.93/13.18 ((![X108,X109]: 12.93/13.18 ((![X110]: 12.93/13.18 (in(X110,X109) => in(X110,X108))) => 12.93/13.18 in(X109,powerset(X108)))) => 12.93/13.18 ((![X111]: in(emptyset,powerset(X111))) => 12.93/13.18 ((![X112]: in(emptyset,powerset(X112))) => 12.93/13.18 ((![X113,X114,X115]: 12.93/13.18 (in(X114,powerset(X113)) => 12.93/13.18 (in(X115,X114) => in(X115,X113)))) => 12.93/13.18 ((![X116,X117,X118]: 12.93/13.18 (in(X117,X118) => 12.93/13.18 (in(X118,X116) => 12.93/13.18 in(X117,setunion(X116))))) => 12.93/13.18 ((![X119,X120]: 12.93/13.18 (in(X120,setunion(X119)) => 12.93/13.18 (![X121:$o]: 12.93/13.18 ((![X122]: 12.93/13.18 (in(X120,X122) => 12.93/13.18 (in(X122,X119) => X121))) => 12.93/13.18 X121)))) => 12.93/13.18 ((![X123,X124]: 12.93/13.18 (in(X124,X123) => 12.93/13.18 in(X124, 12.93/13.18 powerset(setunion(X123))))) => 12.93/13.18 ((![X125:($i > $o)]: 12.93/13.18 ((?[X126]: 12.93/13.18 (X125(X126) & 12.93/13.18 (![X127]: 12.93/13.18 (X125(X127) => 12.93/13.18 (X126 = X127))))) => 12.93/13.18 (?[X128]: 12.93/13.18 (![X129]: 12.93/13.18 (X125(X129) <=> 12.93/13.18 (X129 = X128)))))) => 12.93/13.18 ((![X130]: 12.93/13.18 ((X130 != emptyset) => 12.93/13.18 (?[X131]: in(X131,X130)))) => 12.93/13.18 ((![X132,X133]: 12.93/13.18 (in(X132, 12.93/13.18 setadjoin(X133,emptyset)) => 12.93/13.18 (X132 = X133))) => 12.93/13.18 ((![X134,X135]: 12.93/13.18 ((X134 != X135) => 12.93/13.18 (~ 12.93/13.18 in(X135, 12.93/13.18 setadjoin(X134, 12.93/13.18 emptyset))))) => 12.93/13.18 ((![X136,X137]: 12.93/13.18 ((X136 = X137) => 12.93/13.18 in(X136, 12.93/13.18 setadjoin(X137, 12.93/13.18 emptyset)))) => 12.93/13.18 ((![X138,X139]: 12.93/13.18 (in(X138, 12.93/13.18 setadjoin(X139, 12.93/13.18 emptyset)) => 12.93/13.18 in(X139, 12.93/13.18 setadjoin(X138, 12.93/13.18 emptyset)))) => 12.93/13.18 ((![X140,X141,X142]: 12.93/13.18 (in(X142, 12.93/13.18 setadjoin(X140, 12.93/13.18 setadjoin( 12.93/13.18 X141, 12.93/13.18 emptyset))) => 12.93/13.18 ((X142 = X140) | 12.93/13.18 (X142 = X141)))) => 12.93/13.18 ((![X143,X144]: 12.93/13.18 in(X143, 12.93/13.18 setadjoin(X143, 12.93/13.18 setadjoin( 12.93/13.18 X144, 12.93/13.18 emptyset)))) => 12.93/13.18 ((![X145,X146]: 12.93/13.18 in(X146, 12.93/13.18 setadjoin(X145, 12.93/13.18 setadjoin( 12.93/13.18 X146, 12.93/13.18 emptyset)))) => 12.93/13.18 ((![X147,X148:($i > $o)]: 12.93/13.18 ((?[X149]: 12.93/13.18 (in(X149,X147) & 12.93/13.18 X148(X149))) => 12.93/13.18 ((dsetconstr( 12.93/13.18 X147, 12.93/13.18 ^[V_8]: X148(V_8)) = 12.93/13.18 emptyset) => 12.93/13.18 $false))) => 12.93/13.18 ((![X150:($i > $o),X151]: 12.93/13.18 (in(X151,emptyset) => 12.93/13.18 X150(X151))) => 12.93/13.18 ((![X152,X153:($i > $o)]: 12.93/13.18 ((~ 12.93/13.18 (![X154]: 12.93/13.18 (in(X154,X152) => 12.93/13.18 X153(X154)))) => 12.93/13.18 (?[X155]: 12.93/13.18 (in(X155,X152) & 12.93/13.18 (~X153(X155)))))) => 12.93/13.18 ((![X156, 12.93/13.18 X157:($i > $o)]: 12.93/13.18 ((![X158]: 12.93/13.18 (in(X158,X156) => 12.93/13.18 (~X157(X158)))) => 12.93/13.18 (~ 12.93/13.18 (?[X159]: 12.93/13.18 (in( 12.93/13.18 X159,X156) & 12.93/13.18 X157(X159)))))) => 12.93/13.18 ((![X160, 12.93/13.18 X161:($i > $o)]: 12.93/13.18 ((~ 12.93/13.18 (?[X162]: 12.93/13.18 (in( 12.93/13.18 X162,X160) & 12.93/13.18 X161(X162)))) => 12.93/13.18 (![X163]: 12.93/13.18 (in(X163,X160) => 12.93/13.18 (~X161(X163)))))) => 12.93/13.18 ((![X164, 12.93/13.18 X165:($i > $o)]: 12.93/13.18 ((?[X166]: 12.93/13.18 (in( 12.93/13.18 X166,X164) & 12.93/13.18 (~ 12.93/13.18 X165( 12.93/13.18 X166)))) => 12.93/13.18 (~ 12.93/13.18 (![X167]: 12.93/13.18 (in( 12.93/13.18 X167,X164) => 12.93/13.18 X165( 12.93/13.18 X167)))))) => 12.93/13.18 ((![X168:$o]: 12.93/13.18 (X168 => 12.93/13.18 in(emptyset, 12.93/13.18 prop2set( 12.93/13.18 X168)))) => 12.93/13.18 ((![X169:$o]: 12.93/13.18 (X169 => 12.93/13.18 set2prop( 12.93/13.18 prop2set( 12.93/13.18 X169)))) => 12.93/13.18 ((![X170, 12.93/13.18 X171:( 12.93/13.18 $i > $o)]: 12.93/13.18 ((~ 12.93/13.18 (?[X172]: 12.93/13.18 (in( 12.93/13.18 X172,X170) & 12.93/13.18 X171( 12.93/13.18 X172)))) => 12.93/13.18 (![X173]: 12.93/13.18 ( 12.93/13.18 in( 12.93/13.18 X173,X170) => 12.93/13.18 ( 12.93/13.18 ~ 12.93/13.18 X171( 12.93/13.18 X173)))))) => 12.93/13.18 ((![X174, 12.93/13.18 X175:( 12.93/13.18 $i > $o)]: 12.93/13.18 ((~ 12.93/13.18 ( 12.93/13.18 ![X176]: 12.93/13.18 (in( 12.93/13.18 X176,X174) => 12.93/13.19 X175( 12.93/13.19 X176)))) => 12.93/13.19 (?[X177]: 12.93/13.19 (in( 12.93/13.19 X177,X174) & 12.93/13.19 (~ 12.93/13.19 X175( 12.93/13.19 X177)))))) => 12.93/13.19 ((![X178:( 12.93/13.19 $i > $o)]: 12.93/13.19 ((?[X179]: 12.93/13.19 (X178( 12.93/13.19 X179) & 12.93/13.19 (![X180]: 12.93/13.19 (X178( 12.93/13.19 X180) => 12.93/13.19 (X179 = 12.93/13.19 X180))))) => 12.93/13.19 (?[X181]: 12.93/13.19 (X178( 12.93/13.19 X181) & 12.93/13.19 (![X182]: 12.93/13.19 (X178( 12.93/13.19 X182) => 12.93/13.19 (X181 = 12.93/13.19 X182))))))) => 12.93/13.19 ((![X183:( 12.93/13.19 $i > $o)]: 12.93/13.19 (( 12.93/13.19 ?[X184]: 12.93/13.19 X183( 12.93/13.19 X184)) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X185, 12.93/13.19 X186]: 12.93/13.19 (X183( 12.93/13.19 X185) => 12.93/13.19 (X183( 12.93/13.19 X186) => 12.93/13.19 (X185 = 12.93/13.19 X186)))) => 12.93/13.19 ( 12.93/13.19 ?[X187]: 12.93/13.19 (X183( 12.93/13.19 X187) & 12.93/13.19 (![X188]: 12.93/13.19 (X183( 12.93/13.19 X188) => 12.93/13.19 (X187 = 12.93/13.19 X188)))))))) => 12.93/13.19 ((![X189:( 12.93/13.19 $i > $o)]: 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ?[X190]: 12.93/13.19 (![X191]: 12.93/13.19 (X189( 12.93/13.19 X191) <=> 12.93/13.19 (X191 = 12.93/13.19 X190)))) => 12.93/13.19 ( 12.93/13.19 ?[X192]: 12.93/13.19 (X189( 12.93/13.19 X192) & 12.93/13.19 (![X193]: 12.93/13.19 (X189( 12.93/13.19 X193) => 12.93/13.19 (X192 = 12.93/13.19 X193))))))) => 12.93/13.19 ((![X194, 12.93/13.19 X195]: 12.93/13.19 (( 12.93/13.19 X194 = 12.93/13.19 X195) => 12.93/13.19 (![X196, 12.93/13.19 X197]: 12.93/13.19 (( 12.93/13.19 X196 = 12.93/13.19 X197) => 12.93/13.19 (in( 12.93/13.19 X196,X194) => 12.93/13.19 in( 12.93/13.19 X197,X195)))))) => 12.93/13.19 ((![X198, 12.93/13.19 X199]: 12.93/13.19 (( 12.93/13.19 X198 = 12.93/13.19 X199) => 12.93/13.19 (![X200, 12.93/13.19 X201]: 12.93/13.19 (( 12.93/13.19 X200 = 12.93/13.19 X201) => 12.93/13.19 (in( 12.93/13.19 X200,X198) <=> 12.93/13.19 in( 12.93/13.19 X201,X199)))))) => 12.93/13.19 (( 12.93/13.19 ![X202:( 12.93/13.19 $i > $o)]: 12.93/13.19 (( 12.93/13.19 ?[X203]: 12.93/13.19 (X202( 12.93/13.19 X203) & 12.93/13.19 (![X204]: 12.93/13.19 (X202( 12.93/13.19 X204) => 12.93/13.19 (X203 = 12.93/13.19 X204))))) => 12.93/13.19 (![X205, 12.93/13.19 X206]: 12.93/13.19 (X202( 12.93/13.19 X205) => 12.93/13.19 (X202( 12.93/13.19 X206) => 12.93/13.19 (X205 = 12.93/13.19 X206)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X207:( 12.93/13.19 $i > $o), 12.93/13.19 X208:( 12.93/13.19 $i > $o)]: 12.93/13.19 (( 12.93/13.19 ![X209, 12.93/13.19 X210]: 12.93/13.19 (( 12.93/13.19 X209 = 12.93/13.19 X210) => 12.93/13.19 (X207( 12.93/13.19 X209) <=> 12.93/13.19 X208( 12.93/13.19 X210)))) => 12.93/13.19 (( 12.93/13.19 ?[X211]: 12.93/13.19 (X207( 12.93/13.19 X211) & 12.93/13.19 (![X212]: 12.93/13.19 (X207( 12.93/13.19 X212) => 12.93/13.19 (X211 = 12.93/13.19 X212))))) <=> 12.93/13.19 (?[X213]: 12.93/13.19 (X208( 12.93/13.19 X213) & 12.93/13.19 (![X214]: 12.93/13.19 (X208( 12.93/13.19 X214) => 12.93/13.19 (X213 = 12.93/13.19 X214)))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 emptyset = 12.93/13.19 emptyset) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X215, 12.93/13.19 X216]: 12.93/13.19 (( 12.93/13.19 X215 = 12.93/13.19 X216) => 12.93/13.19 (![X217, 12.93/13.19 X218]: 12.93/13.19 (( 12.93/13.19 X217 = 12.93/13.19 X218) => 12.93/13.19 (setadjoin( 12.93/13.19 X215,X217) = 12.93/13.19 setadjoin( 12.93/13.19 X216,X218)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X219, 12.93/13.19 X220]: 12.93/13.19 (( 12.93/13.19 X219 = 12.93/13.19 X220) => 12.93/13.19 (powerset( 12.93/13.19 X219) = 12.93/13.19 powerset( 12.93/13.19 X220)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X221, 12.93/13.19 X222]: 12.93/13.19 (( 12.93/13.19 X221 = 12.93/13.19 X222) => 12.93/13.19 (setunion( 12.93/13.19 X221) = 12.93/13.19 setunion( 12.93/13.19 X222)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 omega = 12.93/13.19 omega) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X223:( 12.93/13.19 $i > $o)]: 12.93/13.19 (( 12.93/13.19 ?[X224]: 12.93/13.19 (X223( 12.93/13.19 X224) & 12.93/13.19 (![X225]: 12.93/13.19 (X223( 12.93/13.19 X225) => 12.93/13.19 (X224 = 12.93/13.19 X225))))) => 12.93/13.19 (![X226, 12.93/13.19 X227]: 12.93/13.19 (X223( 12.93/13.19 X226) => 12.93/13.19 (X223( 12.93/13.19 X227) => 12.93/13.19 (X226 = 12.93/13.19 X227)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X228:( 12.93/13.19 $i > $o), 12.93/13.19 X229:( 12.93/13.19 $i > $o)]: 12.93/13.19 (( 12.93/13.19 ![X230, 12.93/13.19 X231]: 12.93/13.19 (( 12.93/13.19 X230 = 12.93/13.19 X231) => 12.93/13.19 (X228( 12.93/13.19 X230) <=> 12.93/13.19 X229( 12.93/13.19 X231)))) => 12.93/13.19 (( 12.93/13.19 ?[X232]: 12.93/13.19 (X228( 12.93/13.19 X232) & 12.93/13.19 (![X233]: 12.93/13.19 (X228( 12.93/13.19 X233) => 12.93/13.19 (X232 = 12.93/13.19 X233))))) => 12.93/13.19 (( 12.93/13.19 ?[X234]: 12.93/13.19 (X229( 12.93/13.19 X234) & 12.93/13.19 (![X235]: 12.93/13.19 (X229( 12.93/13.19 X235) => 12.93/13.19 (X234 = 12.93/13.19 X235))))) => 12.93/13.19 (descr( 12.93/13.19 ^[V_9]: 12.93/13.19 X228(V_9)) = 12.93/13.19 descr( 12.93/13.19 ^[V_10]: 12.93/13.19 X229( 12.93/13.19 V_10))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X236, 12.93/13.19 X237]: 12.93/13.19 (( 12.93/13.19 X236 = 12.93/13.19 X237) => 12.93/13.19 (![X238:( 12.93/13.19 $i > $o), 12.93/13.19 X239:( 12.93/13.19 $i > $o)]: 12.93/13.19 (( 12.93/13.19 ![X240]: 12.93/13.19 (in( 12.93/13.19 X240,X236) => 12.93/13.19 (![X241]: 12.93/13.19 (in( 12.93/13.19 X241,X237) => 12.93/13.19 (( 12.93/13.19 X240 = 12.93/13.19 X241) => 12.93/13.19 (X238( 12.93/13.19 X240) <=> 12.93/13.19 X239( 12.93/13.19 X241))))))) => 12.93/13.19 (dsetconstr( 12.93/13.19 X236, 12.93/13.19 ^[V_11]: 12.93/13.19 X238( 12.93/13.19 V_11)) = 12.93/13.19 dsetconstr( 12.93/13.19 X237, 12.93/13.19 ^[V_12]: 12.93/13.19 X239( 12.93/13.19 V_12))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X242, 12.93/13.19 X243]: 12.93/13.19 (( 12.93/13.19 ![X244]: 12.93/13.19 (in( 12.93/13.19 X244,X242) => 12.93/13.19 in( 12.93/13.19 X244,X243))) => 12.93/13.19 subset( 12.93/13.19 X242,X243))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X245, 12.93/13.19 X246]: 12.93/13.19 (( 12.93/13.19 X245 = 12.93/13.19 X246) => 12.93/13.19 subset( 12.93/13.19 X246,X245))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X247, 12.93/13.19 X248]: 12.93/13.19 (( 12.93/13.19 X247 = 12.93/13.19 X248) => 12.93/13.19 subset( 12.93/13.19 X247,X248))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X249, 12.93/13.19 X250]: 12.93/13.19 (( 12.93/13.19 ![X251]: 12.93/13.19 (in( 12.93/13.19 X251,X249) => 12.93/13.19 in( 12.93/13.19 X251,X250))) => 12.93/13.19 subset( 12.93/13.19 X249,X250))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X252]: 12.93/13.19 subset( 12.93/13.19 emptyset, 12.93/13.19 X252)) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X253, 12.93/13.19 X254,X255]: 12.93/13.19 (subset( 12.93/13.19 X253,X254) => 12.93/13.19 (in( 12.93/13.19 X255,X253) => 12.93/13.19 in( 12.93/13.19 X255,X254)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X256, 12.93/13.19 X257,X258]: 12.93/13.19 (subset( 12.93/13.19 X256,X257) => 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X258,X257)) => 12.93/13.19 (~ 12.93/13.19 in( 12.93/13.19 X258,X256))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X259, 12.93/13.19 X260,X261]: 12.93/13.19 (in( 12.93/13.19 X261,X259) => 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X261,X260)) => 12.93/13.19 (~ 12.93/13.19 subset( 12.93/13.19 X259,X260))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X262, 12.93/13.19 X263]: 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 subset( 12.93/13.19 X262,X263)) => 12.93/13.19 (X262 != 12.93/13.19 X263))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X264, 12.93/13.19 X265,X266]: 12.93/13.19 (in( 12.93/13.19 X266,X264) => 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X266,X265)) => 12.93/13.19 (X264 != 12.93/13.19 X265)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X267]: 12.93/13.19 subset( 12.93/13.19 X267,X267)) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X268, 12.93/13.19 X269,X270]: 12.93/13.19 (subset( 12.93/13.19 X268,X269) => 12.93/13.19 (subset( 12.93/13.19 X269,X270) => 12.93/13.19 subset( 12.93/13.19 X268,X270)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X271, 12.93/13.19 X272]: 12.93/13.19 subset( 12.93/13.19 X272, 12.93/13.19 setadjoin( 12.93/13.19 X271,X272))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X273, 12.93/13.19 X274,X275]: 12.93/13.19 (subset( 12.93/13.19 X273,X275) => 12.93/13.19 subset( 12.93/13.19 X273, 12.93/13.19 setadjoin( 12.93/13.19 X274,X275)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X276, 12.93/13.19 X277]: 12.93/13.19 (subset( 12.93/13.19 X276,X277) => 12.93/13.19 in( 12.93/13.19 X276, 12.93/13.19 powerset( 12.93/13.19 X277)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X278, 12.93/13.19 X279]: 12.93/13.19 (subset( 12.93/13.19 X278,X279) => 12.93/13.19 (subset( 12.93/13.19 X279,X278) => 12.93/13.19 (X278 = 12.93/13.19 X279)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X280]: 12.93/13.19 (subset( 12.93/13.19 X280, 12.93/13.19 emptyset) => 12.93/13.19 (X280 = 12.93/13.19 emptyset))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X281, 12.93/13.19 X282]: 12.93/13.19 (subset( 12.93/13.19 X282,X281) => 12.93/13.19 in( 12.93/13.19 X282, 12.93/13.19 powerset( 12.93/13.19 X281)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X283, 12.93/13.19 X284]: 12.93/13.19 (in( 12.93/13.19 X284, 12.93/13.19 powerset( 12.93/13.19 X283)) => 12.93/13.19 subset( 12.93/13.19 X284,X283))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X285]: 12.93/13.19 in( 12.93/13.19 X285, 12.93/13.19 powerset( 12.93/13.19 X285))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X286, 12.93/13.19 X287]: 12.93/13.19 (subset( 12.93/13.19 X286,X287) => 12.93/13.19 subset( 12.93/13.19 powerset( 12.93/13.19 X286), 12.93/13.19 powerset( 12.93/13.19 X287)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X288, 12.93/13.19 X289:( 12.93/13.19 $i > $o)]: 12.93/13.19 in( 12.93/13.19 dsetconstr( 12.93/13.19 X288, 12.93/13.19 ^[V_13]: 12.93/13.19 X289( 12.93/13.19 V_13)), 12.93/13.19 powerset( 12.93/13.19 X288))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X290, 12.93/13.19 X291:( 12.93/13.19 $i > $o)]: 12.93/13.19 subset( 12.93/13.19 dsetconstr( 12.93/13.19 X290, 12.93/13.19 ^[V_14]: 12.93/13.19 X291( 12.93/13.19 V_14)), 12.93/13.19 X290)) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X292, 12.93/13.19 X293,X294]: 12.93/13.19 (in( 12.93/13.19 X294,X292) => 12.93/13.19 in( 12.93/13.19 X294, 12.93/13.19 binunion( 12.93/13.19 X292,X293)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X295, 12.93/13.19 X296]: 12.93/13.19 in( 12.93/13.19 X296, 12.93/13.19 setadjoin( 12.93/13.19 X295, 12.93/13.19 setadjoin( 12.93/13.19 X296, 12.93/13.19 emptyset)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X297, 12.93/13.19 X298,X299]: 12.93/13.19 (in( 12.93/13.19 X299,X298) => 12.93/13.19 in( 12.93/13.19 X299, 12.93/13.19 binunion( 12.93/13.19 X297,X298)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X300, 12.93/13.19 X301, 12.93/13.19 X302, 12.93/13.19 X303:$o]: 12.93/13.19 (in( 12.93/13.19 X302, 12.93/13.19 binunion( 12.93/13.19 X300,X301)) => 12.93/13.19 (( 12.93/13.19 in( 12.93/13.19 X302,X300) => 12.93/13.19 X303) => 12.93/13.19 (( 12.93/13.19 in( 12.93/13.19 X302,X301) => 12.93/13.19 X303) => 12.93/13.19 X303)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X304, 12.93/13.19 X305,X306]: 12.93/13.19 (in( 12.93/13.19 X306, 12.93/13.19 binunion( 12.93/13.19 X304,X305)) => 12.93/13.19 (in( 12.93/13.19 X306,X304) | 12.93/13.19 in( 12.93/13.19 X306,X305)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X307, 12.93/13.19 X308]: 12.93/13.19 subset( 12.93/13.19 X307, 12.93/13.19 binunion( 12.93/13.19 X307,X308))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X309, 12.93/13.19 X310]: 12.93/13.19 subset( 12.93/13.19 X310, 12.93/13.19 binunion( 12.93/13.19 X309,X310))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X311, 12.93/13.19 X312,X313]: 12.93/13.19 (in( 12.93/13.19 X313,X311) => 12.93/13.19 (in( 12.93/13.19 X313,X312) => 12.93/13.19 in( 12.93/13.19 X313, 12.93/13.19 binintersect( 12.93/13.19 X311,X312))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X314, 12.93/13.19 X315,X316]: 12.93/13.19 (subset( 12.93/13.19 X316,X314) => 12.93/13.19 (subset( 12.93/13.19 X316,X315) => 12.93/13.19 subset( 12.93/13.19 X316, 12.93/13.19 binintersect( 12.93/13.19 X314,X315))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X317, 12.93/13.19 X318,X319]: 12.93/13.19 (in( 12.93/13.19 X319, 12.93/13.19 binintersect( 12.93/13.19 X317,X318)) => 12.93/13.19 in( 12.93/13.19 X319,X317))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X320, 12.93/13.19 X321]: 12.93/13.19 subset( 12.93/13.19 binintersect( 12.93/13.19 X320,X321), 12.93/13.19 X320)) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X322, 12.93/13.19 X323]: 12.93/13.19 (subset( 12.93/13.19 X322,X323) => 12.93/13.19 (binintersect( 12.93/13.19 X322,X323) = 12.93/13.19 X322))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X324, 12.93/13.19 X325]: 12.93/13.19 (( 12.93/13.19 binintersect( 12.93/13.19 X324,X325) = 12.93/13.19 X325) => 12.93/13.19 subset( 12.93/13.19 X325,X324))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X326, 12.93/13.19 X327,X328]: 12.93/13.19 (in( 12.93/13.19 X328, 12.93/13.19 binintersect( 12.93/13.19 X326,X327)) => 12.93/13.19 in( 12.93/13.19 X328,X327))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X329, 12.93/13.19 X330]: 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 ( 12.93/13.19 ?[X331]: 12.93/13.19 (in( 12.93/13.19 X331,X329) & 12.93/13.19 in( 12.93/13.19 X331,X330)))) => 12.93/13.19 (binintersect( 12.93/13.19 X329,X330) = 12.93/13.19 emptyset))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X332, 12.93/13.19 X333]: 12.93/13.19 subset( 12.93/13.19 binintersect( 12.93/13.19 X332,X333), 12.93/13.19 X333)) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X334, 12.93/13.19 X335]: 12.93/13.19 (subset( 12.93/13.19 X335,X334) => 12.93/13.19 (binintersect( 12.93/13.19 X334,X335) = 12.93/13.19 X335))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X336, 12.93/13.19 X337]: 12.93/13.19 (( 12.93/13.19 binintersect( 12.93/13.19 X336,X337) = 12.93/13.19 X336) => 12.93/13.19 subset( 12.93/13.19 X336,X337))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X338, 12.93/13.19 X339,X340]: 12.93/13.19 (binintersect( 12.93/13.19 X338, 12.93/13.19 binunion( 12.93/13.19 X339,X340)) = 12.93/13.19 binunion( 12.93/13.19 binintersect( 12.93/13.19 X338,X339), 12.93/13.19 binintersect( 12.93/13.19 X338,X340)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X341, 12.93/13.19 X342,X343]: 12.93/13.19 (in( 12.93/13.19 X343,X341) => 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X343,X342)) => 12.93/13.19 in( 12.93/13.19 X343, 12.93/13.19 setminus( 12.93/13.19 X341,X342))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X344, 12.93/13.19 X345,X346]: 12.93/13.19 (in( 12.93/13.19 X346, 12.93/13.19 setminus( 12.93/13.19 X344,X345)) => 12.93/13.19 in( 12.93/13.19 X346,X344))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X347, 12.93/13.19 X348,X349]: 12.93/13.19 (in( 12.93/13.19 X349, 12.93/13.19 setminus( 12.93/13.19 X347,X348)) => 12.93/13.19 (~ 12.93/13.19 in( 12.93/13.19 X349,X348)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X350, 12.93/13.19 X351]: 12.93/13.19 (subset( 12.93/13.19 X350,X351) => 12.93/13.19 (setminus( 12.93/13.19 X350,X351) = 12.93/13.19 emptyset))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X352, 12.93/13.19 X353,X354]: 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X354, 12.93/13.19 setminus( 12.93/13.19 X352,X353))) => 12.93/13.19 (in( 12.93/13.19 X354,X352) => 12.93/13.19 in( 12.93/13.19 X354,X353)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X355, 12.93/13.19 X356,X357]: 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X357, 12.93/13.19 setminus( 12.93/13.19 X355,X356))) => 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X357,X356)) => 12.93/13.19 (~ 12.93/13.19 in( 12.93/13.19 X357,X355))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X358, 12.93/13.19 X359,X360]: 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X360,X358)) => 12.93/13.19 (~ 12.93/13.19 in( 12.93/13.19 X360, 12.93/13.19 setminus( 12.93/13.19 X358,X359))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X361, 12.93/13.19 X362,X363]: 12.93/13.19 (in( 12.93/13.19 X363,X362) => 12.93/13.19 (~ 12.93/13.19 in( 12.93/13.19 X363, 12.93/13.19 setminus( 12.93/13.19 X361,X362))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X364, 12.93/13.19 X365]: 12.93/13.19 subset( 12.93/13.19 setminus( 12.93/13.19 X364,X365), 12.93/13.19 X364)) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X366, 12.93/13.19 X367]: 12.93/13.19 (( 12.93/13.19 setminus( 12.93/13.19 X366,X367) = 12.93/13.19 emptyset) => 12.93/13.19 subset( 12.93/13.19 X366,X367))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X368, 12.93/13.19 X369,X370]: 12.93/13.19 (in( 12.93/13.19 X370, 12.93/13.19 symdiff( 12.93/13.19 X368,X369)) => 12.93/13.19 (![X371:$o]: 12.93/13.19 (( 12.93/13.19 in( 12.93/13.19 X370,X368) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X370,X369)) => 12.93/13.19 X371)) => 12.93/13.19 (( 12.93/13.19 ( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X370,X368)) => 12.93/13.19 ( 12.93/13.19 in( 12.93/13.19 X370,X369) => 12.93/13.19 X371)) => 12.93/13.19 X371))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X372, 12.93/13.19 X373,X374]: 12.93/13.19 (in( 12.93/13.19 X374,X372) => 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X374,X373)) => 12.93/13.19 in( 12.93/13.19 X374, 12.93/13.19 symdiff( 12.93/13.19 X372,X373))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X375, 12.93/13.19 X376,X377]: 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X377,X375)) => 12.93/13.19 (in( 12.93/13.19 X377,X376) => 12.93/13.19 in( 12.93/13.19 X377, 12.93/13.19 symdiff( 12.93/13.19 X375,X376))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X378, 12.93/13.19 X379,X380]: 12.93/13.19 (in( 12.93/13.19 X380,X378) => 12.93/13.19 (in( 12.93/13.19 X380,X379) => 12.93/13.19 (~ 12.93/13.19 in( 12.93/13.19 X380, 12.93/13.19 symdiff( 12.93/13.19 X378,X379)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X381, 12.93/13.19 X382,X383]: 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X383,X381)) => 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X383,X382)) => 12.93/13.19 (~ 12.93/13.19 in( 12.93/13.19 X383, 12.93/13.19 symdiff( 12.93/13.19 X381,X382)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X384, 12.93/13.19 X385]: 12.93/13.19 in( 12.93/13.19 X385, 12.93/13.19 setadjoin( 12.93/13.19 X384, 12.93/13.19 setadjoin( 12.93/13.19 X385, 12.93/13.19 emptyset)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X386, 12.93/13.19 X387]: 12.93/13.19 in( 12.93/13.19 X386, 12.93/13.19 setunion( 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X386, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X386, 12.93/13.19 setadjoin( 12.93/13.19 X387, 12.93/13.19 emptyset)), 12.93/13.19 emptyset))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X388, 12.93/13.19 X389]: 12.93/13.19 in( 12.93/13.19 X389, 12.93/13.19 setunion( 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X388, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X388, 12.93/13.19 setadjoin( 12.93/13.19 X389, 12.93/13.19 emptyset)), 12.93/13.19 emptyset))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X390, 12.93/13.19 X391]: 12.93/13.19 iskpair( 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X390, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X390, 12.93/13.19 setadjoin( 12.93/13.19 X391, 12.93/13.19 emptyset)), 12.93/13.19 emptyset)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X392, 12.93/13.19 X393]: 12.93/13.19 iskpair( 12.93/13.19 kpair( 12.93/13.19 X392,X393))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X394, 12.93/13.19 X395]: 12.93/13.19 (in( 12.93/13.19 X395,X394) => 12.93/13.19 subset( 12.93/13.19 setadjoin( 12.93/13.19 X395, 12.93/13.19 emptyset), 12.93/13.19 X394))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X396, 12.93/13.19 X397]: 12.93/13.19 (in( 12.93/13.19 X397,X396) => 12.93/13.19 in( 12.93/13.19 setadjoin( 12.93/13.19 X397, 12.93/13.19 emptyset), 12.93/13.19 powerset( 12.93/13.19 X396)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X398, 12.93/13.19 X399,X400]: 12.93/13.19 (in( 12.93/13.19 X400,X398) => 12.93/13.19 in( 12.93/13.19 setadjoin( 12.93/13.19 X400, 12.93/13.19 emptyset), 12.93/13.19 powerset( 12.93/13.19 binunion( 12.93/13.19 X398,X399))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X401, 12.93/13.19 X402,X403]: 12.93/13.19 (in( 12.93/13.19 X403, 12.93/13.19 setadjoin( 12.93/13.19 X401, 12.93/13.19 setadjoin( 12.93/13.19 X402, 12.93/13.19 emptyset))) => 12.93/13.19 (( 12.93/13.19 X403 = 12.93/13.19 X401) | 12.93/13.19 (X403 = 12.93/13.19 X402)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X404, 12.93/13.19 X405,X406]: 12.93/13.19 (in( 12.93/13.19 X406,X404) => 12.93/13.19 (![X407]: 12.93/13.19 (in( 12.93/13.19 X407,X405) => 12.93/13.19 subset( 12.93/13.19 setadjoin( 12.93/13.19 X406, 12.93/13.19 setadjoin( 12.93/13.19 X407, 12.93/13.19 emptyset)), 12.93/13.19 binunion( 12.93/13.19 X404,X405)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X408, 12.93/13.19 X409,X410]: 12.93/13.19 (in( 12.93/13.19 X410,X408) => 12.93/13.19 (![X411]: 12.93/13.19 (in( 12.93/13.19 X411,X409) => 12.93/13.19 in( 12.93/13.19 setadjoin( 12.93/13.19 X410, 12.93/13.19 setadjoin( 12.93/13.19 X411, 12.93/13.19 emptyset)), 12.93/13.19 powerset( 12.93/13.19 binunion( 12.93/13.19 X408,X409))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X412, 12.93/13.19 X413,X414]: 12.93/13.19 (in( 12.93/13.19 X414,X412) => 12.93/13.19 (![X415]: 12.93/13.19 (in( 12.93/13.19 X415,X413) => 12.93/13.19 subset( 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X414, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X414, 12.93/13.19 setadjoin( 12.93/13.19 X415, 12.93/13.19 emptyset)), 12.93/13.19 emptyset)), 12.93/13.19 powerset( 12.93/13.19 binunion( 12.93/13.19 X412,X413))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X416, 12.93/13.19 X417,X418]: 12.93/13.19 (in( 12.93/13.19 X418,X416) => 12.93/13.19 (![X419]: 12.93/13.19 (in( 12.93/13.19 X419,X417) => 12.93/13.19 in( 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X418, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X418, 12.93/13.19 setadjoin( 12.93/13.19 X419, 12.93/13.19 emptyset)), 12.93/13.19 emptyset)), 12.93/13.19 powerset( 12.93/13.19 powerset( 12.93/13.19 binunion( 12.93/13.19 X416,X417)))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X420, 12.93/13.19 X421,X422]: 12.93/13.19 (in( 12.93/13.19 X422,X420) => 12.93/13.19 (![X423]: 12.93/13.19 (in( 12.93/13.19 X423,X421) => 12.93/13.19 in( 12.93/13.19 kpair( 12.93/13.19 X422,X423), 12.93/13.19 powerset( 12.93/13.19 powerset( 12.93/13.19 binunion( 12.93/13.19 X420,X421)))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X424, 12.93/13.19 X425,X426]: 12.93/13.19 (in( 12.93/13.19 X426,X424) => 12.93/13.19 (![X427]: 12.93/13.19 (in( 12.93/13.19 X427,X425) => 12.93/13.19 in( 12.93/13.19 kpair( 12.93/13.19 X426,X427), 12.93/13.19 cartprod( 12.93/13.19 X424,X425)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X428, 12.93/13.19 X429,X430]: 12.93/13.19 (in( 12.93/13.19 X430, 12.93/13.19 cartprod( 12.93/13.19 X428,X429)) => 12.93/13.19 (?[X431]: 12.93/13.19 (in( 12.93/13.19 X431,X428) & 12.93/13.19 (?[X432]: 12.93/13.19 (in( 12.93/13.19 X432,X429) & 12.93/13.19 (X430 = 12.93/13.19 kpair( 12.93/13.19 X431,X432)))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X433, 12.93/13.19 X434,X435]: 12.93/13.19 (in( 12.93/13.19 X435, 12.93/13.19 cartprod( 12.93/13.19 X433,X434)) => 12.93/13.19 iskpair( 12.93/13.19 X435))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X436, 12.93/13.19 X437]: 12.93/13.19 (in( 12.93/13.19 X437, 12.93/13.19 setunion( 12.93/13.19 X436)) => 12.93/13.19 (?[X438]: 12.93/13.19 (in( 12.93/13.19 X438,X436) & 12.93/13.19 in( 12.93/13.19 X437,X438))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X439]: 12.93/13.19 subset( 12.93/13.19 setunion( 12.93/13.19 setadjoin( 12.93/13.19 X439, 12.93/13.19 emptyset)), 12.93/13.19 X439)) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X440]: 12.93/13.19 subset( 12.93/13.19 X440, 12.93/13.19 setunion( 12.93/13.19 setadjoin( 12.93/13.19 X440, 12.93/13.19 emptyset)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X441]: 12.93/13.19 (setunion( 12.93/13.19 setadjoin( 12.93/13.19 X441, 12.93/13.19 emptyset)) = 12.93/13.19 X441)) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X442, 12.93/13.19 X443:( 12.93/13.19 $i > $o)]: 12.93/13.19 (( 12.93/13.19 ![X444]: 12.93/13.19 (in( 12.93/13.19 X444,X442) => 12.93/13.19 (![X445]: 12.93/13.19 (in( 12.93/13.19 X445,X442) => 12.93/13.19 (X443( 12.93/13.19 X444) => 12.93/13.19 (X443( 12.93/13.19 X445) => 12.93/13.19 (X444 = 12.93/13.19 X445))))))) => 12.93/13.19 (( 12.93/13.19 ?[X446]: 12.93/13.19 (in( 12.93/13.19 X446,X442) & 12.93/13.19 X443( 12.93/13.19 X446))) => 12.93/13.19 singleton( 12.93/13.19 dsetconstr( 12.93/13.19 X442, 12.93/13.19 ^[V_15]: 12.93/13.19 X443( 12.93/13.19 V_15)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X447, 12.93/13.19 X448:( 12.93/13.19 $i > $o)]: 12.93/13.19 (ex1( 12.93/13.19 X447, 12.93/13.19 ^[V_16]: 12.93/13.19 X448( 12.93/13.19 V_16)) => 12.93/13.19 (?[X449]: 12.93/13.19 (in( 12.93/13.19 X449,X447) & 12.93/13.19 X448( 12.93/13.19 X449))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X450, 12.93/13.19 X451:( 12.93/13.19 $i > $o), 12.93/13.19 X452]: 12.93/13.19 (in( 12.93/13.19 X452,X450) => 12.93/13.19 (X451( 12.93/13.19 X452) => 12.93/13.19 (( 12.93/13.19 ![X453]: 12.93/13.19 (in( 12.93/13.19 X453,X450) => 12.93/13.19 (X451( 12.93/13.19 X453) => 12.93/13.19 (X453 = 12.93/13.19 X452)))) => 12.93/13.19 ex1( 12.93/13.19 X450, 12.93/13.19 ^[V_17]: 12.93/13.19 X451( 12.93/13.19 V_17)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X454, 12.93/13.19 X455:( 12.93/13.19 $i > $o)]: 12.93/13.19 (( 12.93/13.19 ![X456]: 12.93/13.19 (in( 12.93/13.19 X456,X454) => 12.93/13.19 (![X457]: 12.93/13.19 (in( 12.93/13.19 X457,X454) => 12.93/13.19 (X455( 12.93/13.19 X456) => 12.93/13.19 (X455( 12.93/13.19 X457) => 12.93/13.19 (X456 = 12.93/13.19 X457))))))) => 12.93/13.19 (( 12.93/13.19 ?[X458]: 12.93/13.19 (in( 12.93/13.19 X458,X454) & 12.93/13.19 X455( 12.93/13.19 X458))) => 12.93/13.19 ex1( 12.93/13.19 X454, 12.93/13.19 ^[V_18]: 12.93/13.19 X455( 12.93/13.19 V_18))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X459, 12.93/13.19 X460]: 12.93/13.19 (( 12.93/13.19 setadjoin( 12.93/13.19 X459, 12.93/13.19 emptyset) = 12.93/13.19 setadjoin( 12.93/13.19 X460, 12.93/13.19 emptyset)) => 12.93/13.19 (X459 = 12.93/13.19 X460))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X461, 12.93/13.19 X462,X463]: 12.93/13.19 (in( 12.93/13.19 setadjoin( 12.93/13.19 X463, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X461, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X461, 12.93/13.19 setadjoin( 12.93/13.19 X462, 12.93/13.19 emptyset)), 12.93/13.19 emptyset))) => 12.93/13.19 (X461 = 12.93/13.19 X463))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X464]: 12.93/13.19 (iskpair( 12.93/13.19 X464) => 12.93/13.19 singleton( 12.93/13.19 dsetconstr( 12.93/13.19 setunion( 12.93/13.19 X464), 12.93/13.19 ^[V_19]: 12.93/13.19 in( 12.93/13.19 setadjoin( 12.93/13.19 V_19, 12.93/13.19 emptyset), 12.93/13.19 X464))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X465]: 12.93/13.19 (singleton( 12.93/13.19 X465) => 12.93/13.19 in( 12.93/13.19 setunion( 12.93/13.19 X465), 12.93/13.19 X465))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X466, 12.93/13.19 X467]: 12.93/13.19 (kfst( 12.93/13.19 kpair( 12.93/13.19 X466,X467)) = 12.93/13.19 X466)) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X468, 12.93/13.19 X469,X470]: 12.93/13.19 (in( 12.93/13.19 X470, 12.93/13.19 cartprod( 12.93/13.19 X468,X469)) => 12.93/13.19 in( 12.93/13.19 kfst( 12.93/13.19 X470), 12.93/13.19 X468))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X471, 12.93/13.19 X472, 12.93/13.19 X473,X474]: 12.93/13.19 (( 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X471, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X471, 12.93/13.19 setadjoin( 12.93/13.19 X472, 12.93/13.19 emptyset)), 12.93/13.19 emptyset)) = 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X473, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X473, 12.93/13.19 setadjoin( 12.93/13.19 X474, 12.93/13.19 emptyset)), 12.93/13.19 emptyset))) => 12.93/13.19 (X471 = 12.93/13.19 X473))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X475, 12.93/13.19 X476, 12.93/13.19 X477,X478]: 12.93/13.19 (( 12.93/13.19 kpair( 12.93/13.19 X475,X476) = 12.93/13.19 kpair( 12.93/13.19 X477,X478)) => 12.93/13.19 (X475 = 12.93/13.19 X477))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X479, 12.93/13.19 X480]: 12.93/13.19 (( 12.93/13.19 X479 = 12.93/13.19 X480) => 12.93/13.19 (setadjoin( 12.93/13.19 X479, 12.93/13.19 setadjoin( 12.93/13.19 X480, 12.93/13.19 emptyset)) = 12.93/13.19 setadjoin( 12.93/13.19 X479, 12.93/13.19 emptyset)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X481, 12.93/13.19 X482]: 12.93/13.19 (( 12.93/13.19 X481 = 12.93/13.19 X482) => 12.93/13.19 (setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X481, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X481, 12.93/13.19 setadjoin( 12.93/13.19 X482, 12.93/13.19 emptyset)), 12.93/13.19 emptyset)) = 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X481, 12.93/13.19 emptyset), 12.93/13.19 emptyset)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X483, 12.93/13.19 X484, 12.93/13.19 X485,X486]: 12.93/13.19 (( 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X483, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X483, 12.93/13.19 setadjoin( 12.93/13.19 X484, 12.93/13.19 emptyset)), 12.93/13.19 emptyset)) = 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X485, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X485, 12.93/13.19 setadjoin( 12.93/13.19 X486, 12.93/13.19 emptyset)), 12.93/13.19 emptyset))) => 12.93/13.19 (( 12.93/13.19 X485 = 12.93/13.19 X486) => 12.93/13.19 (X484 = 12.93/13.19 X486)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X487, 12.93/13.19 X488,X489]: 12.93/13.19 (( 12.93/13.19 setadjoin( 12.93/13.19 X487, 12.93/13.19 setadjoin( 12.93/13.19 X488, 12.93/13.19 emptyset)) = 12.93/13.19 setadjoin( 12.93/13.19 X489, 12.93/13.19 emptyset)) => 12.93/13.19 (X487 = 12.93/13.19 X488))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X490, 12.93/13.19 X491, 12.93/13.19 X492,X493]: 12.93/13.19 (( 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X490, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X490, 12.93/13.19 setadjoin( 12.93/13.19 X491, 12.93/13.19 emptyset)), 12.93/13.19 emptyset)) = 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X492, 12.93/13.19 emptyset), 12.93/13.19 setadjoin( 12.93/13.19 setadjoin( 12.93/13.19 X492, 12.93/13.19 setadjoin( 12.93/13.19 X493, 12.93/13.19 emptyset)), 12.93/13.19 emptyset))) => 12.93/13.19 (X491 = 12.93/13.19 X493))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X494, 12.93/13.19 X495, 12.93/13.19 X496,X497]: 12.93/13.19 (( 12.93/13.19 kpair( 12.93/13.19 X494,X495) = 12.93/13.19 kpair( 12.93/13.19 X496,X497)) => 12.93/13.19 (X495 = 12.93/13.19 X497))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X498]: 12.93/13.19 (iskpair( 12.93/13.19 X498) => 12.93/13.19 singleton( 12.93/13.19 dsetconstr( 12.93/13.19 setunion( 12.93/13.19 X498), 12.93/13.19 ^[V_20]: 12.93/13.19 (X498 = 12.93/13.19 kpair( 12.93/13.19 kfst( 12.93/13.19 X498), 12.93/13.19 V_20)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X499, 12.93/13.19 X500]: 12.93/13.19 (ksnd( 12.93/13.19 kpair( 12.93/13.19 X499,X500)) = 12.93/13.19 X500)) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X501]: 12.93/13.19 (iskpair( 12.93/13.19 X501) => 12.93/13.19 (kpair( 12.93/13.19 kfst( 12.93/13.19 X501), 12.93/13.19 ksnd( 12.93/13.19 X501)) = 12.93/13.19 X501))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X502, 12.93/13.19 X503,X504]: 12.93/13.19 (in( 12.93/13.19 X504, 12.93/13.19 cartprod( 12.93/13.19 X502,X503)) => 12.93/13.19 in( 12.93/13.19 ksnd( 12.93/13.19 X504), 12.93/13.19 X503))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X505, 12.93/13.19 X506, 12.93/13.19 X507,X508]: 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X507,X508), 12.93/13.19 cartprod( 12.93/13.19 X505,X506)) => 12.93/13.19 in( 12.93/13.19 X507,X505))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X509, 12.93/13.19 X510, 12.93/13.19 X511,X512]: 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X511,X512), 12.93/13.19 cartprod( 12.93/13.19 X509,X510)) => 12.93/13.19 in( 12.93/13.19 X512,X510))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X513, 12.93/13.19 X514,X515]: 12.93/13.19 (in( 12.93/13.19 X515,X513) => 12.93/13.19 (![X516]: 12.93/13.19 (in( 12.93/13.19 X516,X514) => 12.93/13.19 (kpair( 12.93/13.19 X515,X516) = 12.93/13.19 kpair( 12.93/13.19 X515,X516)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X517, 12.93/13.19 X518,X519]: 12.93/13.19 (in( 12.93/13.19 X519,X517) => 12.93/13.19 (![X520]: 12.93/13.19 (in( 12.93/13.19 X520,X518) => 12.93/13.19 (kfst( 12.93/13.19 kpair( 12.93/13.19 X519,X520)) = 12.93/13.19 X519))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X521, 12.93/13.19 X522,X523]: 12.93/13.19 (in( 12.93/13.19 X523,X521) => 12.93/13.19 (![X524]: 12.93/13.19 (in( 12.93/13.19 X524,X522) => 12.93/13.19 (ksnd( 12.93/13.19 kpair( 12.93/13.19 X523,X524)) = 12.93/13.19 X524))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X525, 12.93/13.19 X526,X527]: 12.93/13.19 (in( 12.93/13.19 X527, 12.93/13.19 cartprod( 12.93/13.19 X525,X526)) => 12.93/13.19 (kpair( 12.93/13.19 kfst( 12.93/13.19 X527), 12.93/13.19 ksnd( 12.93/13.19 X527)) = 12.93/13.19 X527))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X528, 12.93/13.19 X529, 12.93/13.19 X530:( 12.93/13.19 ($i * $i) > 12.93/13.19 $o),X531]: 12.93/13.19 (in( 12.93/13.19 X531,X528) => 12.93/13.19 (![X532]: 12.93/13.19 (in( 12.93/13.19 X532,X529) => 12.93/13.19 (X530( 12.93/13.19 X531,X532) => 12.93/13.19 in( 12.93/13.19 kpair( 12.93/13.19 X531,X532), 12.93/13.19 dpsetconstr( 12.93/13.19 X528, 12.93/13.19 X529, 12.93/13.19 ^[V_21, 12.93/13.19 V_22]: 12.93/13.19 X530( 12.93/13.19 V_21,V_22)))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X533, 12.93/13.19 X534, 12.93/13.19 X535:( 12.93/13.19 ($i * $i) > 12.93/13.19 $o)]: 12.93/13.19 subset( 12.93/13.19 dpsetconstr( 12.93/13.19 X533, 12.93/13.19 X534, 12.93/13.19 ^[V_23, 12.93/13.19 V_24]: 12.93/13.19 X535( 12.93/13.19 V_23,V_24)), 12.93/13.19 cartprod( 12.93/13.19 X533,X534))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X536, 12.93/13.19 X537, 12.93/13.19 X538:( 12.93/13.19 ($i * $i) > 12.93/13.19 $o)]: 12.93/13.19 subset( 12.93/13.19 dpsetconstr( 12.93/13.19 X536, 12.93/13.19 X537, 12.93/13.19 ^[V_25, 12.93/13.19 V_26]: 12.93/13.19 X538( 12.93/13.19 V_25,V_26)), 12.93/13.19 cartprod( 12.93/13.19 X536,X537))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X539, 12.93/13.19 X540, 12.93/13.19 X541:( 12.93/13.19 ($i * $i) > 12.93/13.19 $o),X542]: 12.93/13.19 (in( 12.93/13.19 X542,X539) => 12.93/13.19 (![X543]: 12.93/13.19 (in( 12.93/13.19 X543,X540) => 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X542,X543), 12.93/13.19 dpsetconstr( 12.93/13.19 X539, 12.93/13.19 X540, 12.93/13.19 ^[V_27, 12.93/13.19 V_28]: 12.93/13.19 X541( 12.93/13.19 V_27,V_28))) => 12.93/13.19 X541( 12.93/13.19 X542,X543)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X544, 12.93/13.19 X545, 12.93/13.19 X546:( 12.93/13.19 ($i * $i) > 12.93/13.19 $o),X547, 12.93/13.19 X548]: 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X547,X548), 12.93/13.19 dpsetconstr( 12.93/13.19 X544, 12.93/13.19 X545, 12.93/13.19 ^[V_29, 12.93/13.19 V_30]: 12.93/13.19 X546( 12.93/13.19 V_29,V_30))) => 12.93/13.19 in( 12.93/13.19 X547,X544))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X549, 12.93/13.19 X550, 12.93/13.19 X551:( 12.93/13.19 ($i * $i) > 12.93/13.19 $o),X552, 12.93/13.19 X553]: 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X552,X553), 12.93/13.19 dpsetconstr( 12.93/13.19 X549, 12.93/13.19 X550, 12.93/13.19 ^[V_31, 12.93/13.19 V_32]: 12.93/13.19 X551( 12.93/13.19 V_31,V_32))) => 12.93/13.19 in( 12.93/13.19 X553,X550))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X554, 12.93/13.19 X555, 12.93/13.19 X556:( 12.93/13.19 ($i * $i) > 12.93/13.19 $o),X557, 12.93/13.19 X558]: 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X557,X558), 12.93/13.19 dpsetconstr( 12.93/13.19 X554, 12.93/13.19 X555, 12.93/13.19 ^[V_33, 12.93/13.19 V_34]: 12.93/13.19 X556( 12.93/13.19 V_33,V_34))) => 12.93/13.19 X556( 12.93/13.19 X557,X558))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X559, 12.93/13.19 X560,X561]: 12.93/13.19 (func( 12.93/13.19 X559, 12.93/13.19 X560,X561) => 12.93/13.19 (![X562]: 12.93/13.19 (in( 12.93/13.19 X562,X559) => 12.93/13.19 singleton( 12.93/13.19 dsetconstr( 12.93/13.19 X560, 12.93/13.19 ^[V_35]: 12.93/13.19 in( 12.93/13.19 kpair( 12.93/13.19 X562,V_35), 12.93/13.19 X561))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X563, 12.93/13.19 X564,X565]: 12.93/13.19 (func( 12.93/13.19 X563, 12.93/13.19 X564,X565) => 12.93/13.19 (![X566]: 12.93/13.19 (in( 12.93/13.19 X566,X563) => 12.93/13.19 in( 12.93/13.19 setunion( 12.93/13.19 dsetconstr( 12.93/13.19 X564, 12.93/13.19 ^[V_36]: 12.93/13.19 in( 12.93/13.19 kpair( 12.93/13.19 X566,V_36), 12.93/13.19 X565))), 12.93/13.19 X564))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X567, 12.93/13.19 X568,X569]: 12.93/13.19 (func( 12.93/13.19 X567, 12.93/13.19 X568,X569) => 12.93/13.19 (![X570]: 12.93/13.19 (in( 12.93/13.19 X570,X567) => 12.93/13.19 in( 12.93/13.19 ap( 12.93/13.19 X567, 12.93/13.19 X568, 12.93/13.19 X569,X570), 12.93/13.19 X568))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X571, 12.93/13.19 X572,X573]: 12.93/13.19 (in( 12.93/13.19 X573, 12.93/13.19 funcSet( 12.93/13.19 X571,X572)) => 12.93/13.19 func( 12.93/13.19 X571, 12.93/13.19 X572,X573))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X574, 12.93/13.19 X575,X576]: 12.93/13.19 (in( 12.93/13.19 X576, 12.93/13.19 funcSet( 12.93/13.19 X574,X575)) => 12.93/13.19 (![X577]: 12.93/13.19 (in( 12.93/13.19 X577,X574) => 12.93/13.19 in( 12.93/13.19 ap( 12.93/13.19 X574, 12.93/13.19 X575, 12.93/13.19 X576,X577), 12.93/13.19 X575))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X578, 12.93/13.19 X579,X580]: 12.93/13.19 (func( 12.93/13.19 X578, 12.93/13.19 X579,X580) => 12.93/13.19 in( 12.93/13.19 X580, 12.93/13.19 funcSet( 12.93/13.19 X578,X579)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X581, 12.93/13.19 X582, 12.93/13.19 X583:( 12.93/13.19 $i > $i)]: 12.93/13.19 (( 12.93/13.19 ![X584]: 12.93/13.19 (in( 12.93/13.19 X584,X581) => 12.93/13.19 in( 12.93/13.19 X583( 12.93/13.19 X584), 12.93/13.19 X582))) => 12.93/13.19 func( 12.93/13.19 X581, 12.93/13.19 X582, 12.93/13.19 dpsetconstr( 12.93/13.19 X581, 12.93/13.19 X582, 12.93/13.19 ^[V_37, 12.93/13.19 V_38]: 12.93/13.19 (X583( 12.93/13.19 V_37) = 12.93/13.19 V_38))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X585, 12.93/13.19 X586, 12.93/13.19 X587:( 12.93/13.19 $i > $i)]: 12.93/13.19 (( 12.93/13.19 ![X588]: 12.93/13.19 (in( 12.93/13.19 X588,X585) => 12.93/13.19 in( 12.93/13.19 X587( 12.93/13.19 X588), 12.93/13.19 X586))) => 12.93/13.19 func( 12.93/13.19 X585, 12.93/13.19 X586, 12.93/13.19 lam( 12.93/13.19 X585, 12.93/13.19 X586, 12.93/13.19 ^[V_39]: 12.93/13.19 X587( 12.93/13.19 V_39))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X589, 12.93/13.19 X590, 12.93/13.19 X591:( 12.93/13.19 $i > $i)]: 12.93/13.19 (( 12.93/13.19 ![X592]: 12.93/13.19 (in( 12.93/13.19 X592,X589) => 12.93/13.19 in( 12.93/13.19 X591( 12.93/13.19 X592), 12.93/13.19 X590))) => 12.93/13.19 in( 12.93/13.19 lam( 12.93/13.19 X589, 12.93/13.19 X590, 12.93/13.19 ^[V_40]: 12.93/13.19 X591( 12.93/13.19 V_40)), 12.93/13.19 funcSet( 12.93/13.19 X589,X590)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X593, 12.93/13.19 X594,X595]: 12.93/13.19 (subset( 12.93/13.19 X595, 12.93/13.19 cartprod( 12.93/13.19 X593,X594)) => 12.93/13.19 (![X596:( 12.93/13.19 $i > $o)]: 12.93/13.19 (( 12.93/13.19 ![X597]: 12.93/13.19 (in( 12.93/13.19 X597,X593) => 12.93/13.19 (![X598]: 12.93/13.19 (in( 12.93/13.19 X598,X594) => 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X597,X598), 12.93/13.19 X595) => 12.93/13.19 X596( 12.93/13.19 kpair( 12.93/13.19 X597,X598))))))) => 12.93/13.19 (![X599]: 12.93/13.19 (in( 12.93/13.19 X599,X595) => 12.93/13.19 X596( 12.93/13.19 X599))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X600, 12.93/13.19 X601,X602]: 12.93/13.19 (subset( 12.93/13.19 X602, 12.93/13.19 cartprod( 12.93/13.19 X600,X601)) => 12.93/13.19 (![X603:( 12.93/13.19 $i > $o)]: 12.93/13.19 (( 12.93/13.19 ![X604]: 12.93/13.19 (in( 12.93/13.19 X604,X600) => 12.93/13.19 (![X605]: 12.93/13.19 (in( 12.93/13.19 X605,X601) => 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X604,X605), 12.93/13.19 X602) => 12.93/13.19 X603( 12.93/13.19 kpair( 12.93/13.19 X604,X605))))))) => 12.93/13.19 (![X606]: 12.93/13.19 (in( 12.93/13.19 X606,X602) => 12.93/13.19 X603( 12.93/13.19 X606))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X607, 12.93/13.19 X608:( 12.93/13.19 $i > $o)]: 12.93/13.19 (ex1( 12.93/13.19 X607, 12.93/13.19 ^[V_41]: 12.93/13.19 X608( 12.93/13.19 V_41)) => 12.93/13.19 (![X609]: 12.93/13.19 (in( 12.93/13.19 X609,X607) => 12.93/13.19 (![X610]: 12.93/13.19 (in( 12.93/13.19 X610,X607) => 12.93/13.19 (X608( 12.93/13.19 X609) => 12.93/13.19 (X608( 12.93/13.19 X610) => 12.93/13.19 (X609 = 12.93/13.19 X610))))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X611, 12.93/13.19 X612,X613]: 12.93/13.19 (func( 12.93/13.19 X611, 12.93/13.19 X612,X613) => 12.93/13.19 (![X614]: 12.93/13.19 (in( 12.93/13.19 X614,X611) => 12.93/13.19 in( 12.93/13.19 kpair( 12.93/13.19 X614, 12.93/13.19 ap( 12.93/13.19 X611, 12.93/13.19 X612, 12.93/13.19 X613,X614)), 12.93/13.19 X613))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X615, 12.93/13.19 X616,X617]: 12.93/13.19 (in( 12.93/13.19 X617, 12.93/13.19 funcSet( 12.93/13.19 X615,X616)) => 12.93/13.19 (![X618]: 12.93/13.19 (in( 12.93/13.19 X618,X615) => 12.93/13.19 in( 12.93/13.19 kpair( 12.93/13.19 X618, 12.93/13.19 ap( 12.93/13.19 X615, 12.93/13.19 X616, 12.93/13.19 X617,X618)), 12.93/13.19 X617))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X619, 12.93/13.19 X620,X621]: 12.93/13.19 (func( 12.93/13.19 X619, 12.93/13.19 X620,X621) => 12.93/13.19 (![X622]: 12.93/13.19 (in( 12.93/13.19 X622,X619) => 12.93/13.19 (![X623]: 12.93/13.19 (in( 12.93/13.19 X623,X620) => 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X622,X623), 12.93/13.19 X621) => 12.93/13.19 (ap( 12.93/13.19 X619, 12.93/13.19 X620, 12.93/13.19 X621,X622) = 12.93/13.19 X623)))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X624, 12.93/13.19 X625,X626]: 12.93/13.19 (func( 12.93/13.19 X624, 12.93/13.19 X625,X626) => 12.93/13.19 (![X627]: 12.93/13.19 (func( 12.93/13.19 X624, 12.93/13.19 X625,X627) => 12.93/13.19 (( 12.93/13.19 ![X628]: 12.93/13.19 (in( 12.93/13.19 X628,X624) => 12.93/13.19 (ap( 12.93/13.19 X624, 12.93/13.19 X625, 12.93/13.19 X626,X628) = 12.93/13.19 ap( 12.93/13.19 X624, 12.93/13.19 X625, 12.93/13.19 X627,X628)))) => 12.93/13.19 (![X629]: 12.93/13.19 (in( 12.93/13.19 X629,X624) => 12.93/13.19 (![X630]: 12.93/13.19 (in( 12.93/13.19 X630,X625) => 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X629,X630), 12.93/13.19 X627) => 12.93/13.19 in( 12.93/13.19 kpair( 12.93/13.19 X629,X630), 12.93/13.19 X626))))))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X631, 12.93/13.19 X632,X633]: 12.93/13.19 (in( 12.93/13.19 X633, 12.93/13.19 funcSet( 12.93/13.19 X631,X632)) => 12.93/13.19 (![X634]: 12.93/13.19 (in( 12.93/13.19 X634,X631) => 12.93/13.19 (![X635]: 12.93/13.19 (in( 12.93/13.19 X635,X632) => 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X634,X635), 12.93/13.19 X633) => 12.93/13.19 (ap( 12.93/13.19 X631, 12.93/13.19 X632, 12.93/13.19 X633,X634) = 12.93/13.19 X635)))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X636, 12.93/13.19 X637,X638]: 12.93/13.19 (subset( 12.93/13.19 X638, 12.93/13.19 cartprod( 12.93/13.19 X636,X637)) => 12.93/13.19 (![X639]: 12.93/13.19 (subset( 12.93/13.19 X639, 12.93/13.19 cartprod( 12.93/13.19 X636,X637)) => 12.93/13.19 (( 12.93/13.19 ![X640]: 12.93/13.19 (in( 12.93/13.19 X640,X636) => 12.93/13.19 (![X641]: 12.93/13.19 (in( 12.93/13.19 X641,X637) => 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X640,X641), 12.93/13.19 X638) => 12.93/13.19 in( 12.93/13.19 kpair( 12.93/13.19 X640,X641), 12.93/13.19 X639)))))) => 12.93/13.19 subset( 12.93/13.19 X638,X639)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X642, 12.93/13.19 X643,X644]: 12.93/13.19 (subset( 12.93/13.19 X644, 12.93/13.19 cartprod( 12.93/13.19 X642,X643)) => 12.93/13.19 (![X645]: 12.93/13.19 (subset( 12.93/13.19 X645, 12.93/13.19 cartprod( 12.93/13.19 X642,X643)) => 12.93/13.19 (( 12.93/13.19 ![X646]: 12.93/13.19 (in( 12.93/13.19 X646,X642) => 12.93/13.19 (![X647]: 12.93/13.19 (in( 12.93/13.19 X647,X643) => 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X646,X647), 12.93/13.19 X644) => 12.93/13.19 in( 12.93/13.19 kpair( 12.93/13.19 X646,X647), 12.93/13.19 X645)))))) => 12.93/13.19 (( 12.93/13.19 ![X648]: 12.93/13.19 (in( 12.93/13.19 X648,X642) => 12.93/13.19 (![X649]: 12.93/13.19 (in( 12.93/13.19 X649,X643) => 12.93/13.19 (in( 12.93/13.19 kpair( 12.93/13.19 X648,X649), 12.93/13.19 X645) => 12.93/13.19 in( 12.93/13.19 kpair( 12.93/13.19 X648,X649), 12.93/13.19 X644)))))) => 12.93/13.19 (X644 = 12.93/13.19 X645))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X650, 12.93/13.19 X651,X652]: 12.93/13.19 (func( 12.93/13.19 X650, 12.93/13.19 X651,X652) => 12.93/13.19 (![X653]: 12.93/13.19 (func( 12.93/13.19 X650, 12.93/13.19 X651,X653) => 12.93/13.19 (( 12.93/13.19 ![X654]: 12.93/13.19 (in( 12.93/13.19 X654,X650) => 12.93/13.19 (ap( 12.93/13.19 X650, 12.93/13.19 X651, 12.93/13.19 X652,X654) = 12.93/13.19 ap( 12.93/13.19 X650, 12.93/13.19 X651, 12.93/13.19 X653,X654)))) => 12.93/13.19 (X652 = 12.93/13.19 X653)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X655, 12.93/13.19 X656,X657]: 12.93/13.19 (in( 12.93/13.19 X657, 12.93/13.19 funcSet( 12.93/13.19 X655,X656)) => 12.93/13.19 (![X658]: 12.93/13.19 (in( 12.93/13.19 X658, 12.93/13.19 funcSet( 12.93/13.19 X655,X656)) => 12.93/13.19 (( 12.93/13.19 ![X659]: 12.93/13.19 (in( 12.93/13.19 X659,X655) => 12.93/13.19 (ap( 12.93/13.19 X655, 12.93/13.19 X656, 12.93/13.19 X657,X659) = 12.93/13.19 ap( 12.93/13.19 X655, 12.93/13.19 X656, 12.93/13.19 X658,X659)))) => 12.93/13.19 (X657 = 12.93/13.19 X658)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X660, 12.93/13.19 X661,X662]: 12.93/13.19 (in( 12.93/13.19 X662, 12.93/13.19 funcSet( 12.93/13.19 X660,X661)) => 12.93/13.19 (![X663]: 12.93/13.19 (in( 12.93/13.19 X663,X660) => 12.93/13.19 (ap( 12.93/13.19 X660, 12.93/13.19 X661, 12.93/13.19 X662,X663) = 12.93/13.19 ap( 12.93/13.19 X660, 12.93/13.19 X661, 12.93/13.19 X662,X663)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X664, 12.93/13.19 X665,X666]: 12.93/13.19 (func( 12.93/13.19 X664, 12.93/13.19 X665,X666) => 12.93/13.19 (![X667]: 12.93/13.19 (in( 12.93/13.19 X667,X664) => 12.93/13.19 (ap( 12.93/13.19 X664, 12.93/13.19 X665, 12.93/13.19 X666,X667) = 12.93/13.19 ap( 12.93/13.19 X664, 12.93/13.19 X665, 12.93/13.19 X666,X667)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X668, 12.93/13.19 X669, 12.93/13.19 X670:( 12.93/13.19 $i > $i)]: 12.93/13.19 (( 12.93/13.19 ![X671]: 12.93/13.19 (in( 12.93/13.19 X671,X668) => 12.93/13.19 in( 12.93/13.19 X670( 12.93/13.19 X671), 12.93/13.19 X669))) => 12.93/13.19 (![X672]: 12.93/13.19 (in( 12.93/13.19 X672,X668) => 12.93/13.19 (ap( 12.93/13.19 X668, 12.93/13.19 X669, 12.93/13.19 lam( 12.93/13.19 X668, 12.93/13.19 X669, 12.93/13.19 ^[V_42]: 12.93/13.19 X670( 12.93/13.19 V_42)), 12.93/13.19 X672) = 12.93/13.19 X670( 12.93/13.19 X672)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X673, 12.93/13.19 X674,X675]: 12.93/13.19 (func( 12.93/13.19 X673, 12.93/13.19 X674,X675) => 12.93/13.19 (lam( 12.93/13.19 X673, 12.93/13.19 X674, 12.93/13.19 ^[V_43]: 12.93/13.19 ap( 12.93/13.19 X673, 12.93/13.19 X674, 12.93/13.19 X675,V_43)) = 12.93/13.19 X675))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X676, 12.93/13.19 X677, 12.93/13.19 X678:( 12.93/13.19 $i > $i)]: 12.93/13.19 (( 12.93/13.19 ![X679]: 12.93/13.19 (in( 12.93/13.19 X679,X676) => 12.93/13.19 in( 12.93/13.19 X678( 12.93/13.19 X679), 12.93/13.19 X677))) => 12.93/13.19 (lam( 12.93/13.19 X676, 12.93/13.19 X677, 12.93/13.19 ^[V_44]: 12.93/13.19 X678( 12.93/13.19 V_44)) = 12.93/13.19 lam( 12.93/13.19 X676, 12.93/13.19 X677, 12.93/13.19 ^[V_45]: 12.93/13.19 X678( 12.93/13.19 V_45))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X680, 12.93/13.19 X681, 12.93/13.19 X682:( 12.93/13.19 $i > $i)]: 12.93/13.19 (( 12.93/13.19 ![X683]: 12.93/13.19 (in( 12.93/13.19 X683,X680) => 12.93/13.19 in( 12.93/13.19 X682( 12.93/13.19 X683), 12.93/13.19 X681))) => 12.93/13.19 (![X684]: 12.93/13.19 (in( 12.93/13.19 X684,X680) => 12.93/13.19 (ap( 12.93/13.19 X680, 12.93/13.19 X681, 12.93/13.19 lam( 12.93/13.19 X680, 12.93/13.19 X681, 12.93/13.19 ^[V_46]: 12.93/13.19 X682( 12.93/13.19 V_46)), 12.93/13.19 X684) = 12.93/13.19 X682( 12.93/13.19 X684)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X685, 12.93/13.19 X686,X687]: 12.93/13.19 (in( 12.93/13.19 X687, 12.93/13.19 funcSet( 12.93/13.19 X685,X686)) => 12.93/13.19 (lam( 12.93/13.19 X685, 12.93/13.19 X686, 12.93/13.19 ^[V_47]: 12.93/13.19 ap( 12.93/13.19 X685, 12.93/13.19 X686, 12.93/13.19 X687,V_47)) = 12.93/13.19 X687))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X688, 12.93/13.19 X689:$o, 12.93/13.19 X690]: 12.93/13.19 (in( 12.93/13.19 X690,X688) => 12.93/13.19 (![X691]: 12.93/13.19 (in( 12.93/13.19 X691,X688) => 12.93/13.19 (( 12.93/13.19 ~X689) => 12.93/13.19 in( 12.93/13.19 X691, 12.93/13.19 dsetconstr( 12.93/13.19 X688, 12.93/13.19 ^[V_48]: 12.93/13.19 (( 12.93/13.19 X689 & 12.93/13.19 ( 12.93/13.19 V_48 = 12.93/13.19 X690)) | 12.93/13.19 (( 12.93/13.19 ~X689) & 12.93/13.19 (V_48 = 12.93/13.19 X691)))))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X692, 12.93/13.19 X693:$o, 12.93/13.19 X694]: 12.93/13.19 (in( 12.93/13.19 X694,X692) => 12.93/13.19 (![X695]: 12.93/13.19 (in( 12.93/13.19 X695,X692) => 12.93/13.19 (( 12.93/13.19 ~X693) => 12.93/13.19 (dsetconstr( 12.93/13.19 X692, 12.93/13.19 ^[V_49]: 12.93/13.19 (( 12.93/13.19 X693 & 12.93/13.19 ( 12.93/13.19 V_49 = 12.93/13.19 X694)) | 12.93/13.19 (( 12.93/13.19 ~X693) & 12.93/13.19 (V_49 = 12.93/13.19 X695)))) = 12.93/13.19 setadjoin( 12.93/13.19 X695, 12.93/13.19 emptyset))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X696, 12.93/13.19 X697:$o, 12.93/13.19 X698]: 12.93/13.19 (in( 12.93/13.19 X698,X696) => 12.93/13.19 (![X699]: 12.93/13.19 (in( 12.93/13.19 X699,X696) => 12.93/13.19 (X697 => 12.93/13.19 in( 12.93/13.19 X698, 12.93/13.19 dsetconstr( 12.93/13.19 X696, 12.93/13.19 ^[V_50]: 12.93/13.19 (( 12.93/13.19 X697 & 12.93/13.19 ( 12.93/13.19 V_50 = 12.93/13.19 X698)) | 12.93/13.19 (( 12.93/13.19 ~X697) & 12.93/13.19 (V_50 = 12.93/13.19 X699)))))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X700, 12.93/13.19 X701:$o, 12.93/13.19 X702]: 12.93/13.19 (in( 12.93/13.19 X702,X700) => 12.93/13.19 (![X703]: 12.93/13.19 (in( 12.93/13.19 X703,X700) => 12.93/13.19 (X701 => 12.93/13.19 (dsetconstr( 12.93/13.19 X700, 12.93/13.19 ^[V_51]: 12.93/13.19 (( 12.93/13.19 X701 & 12.93/13.19 ( 12.93/13.19 V_51 = 12.93/13.19 X702)) | 12.93/13.19 (( 12.93/13.19 ~X701) & 12.93/13.19 (V_51 = 12.93/13.19 X703)))) = 12.93/13.19 setadjoin( 12.93/13.19 X702, 12.93/13.19 emptyset))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X704, 12.93/13.19 X705:$o, 12.93/13.19 X706]: 12.93/13.19 (in( 12.93/13.19 X706,X704) => 12.93/13.19 (![X707]: 12.93/13.19 (in( 12.93/13.19 X707,X704) => 12.93/13.19 singleton( 12.93/13.19 dsetconstr( 12.93/13.19 X704, 12.93/13.19 ^[V_52]: 12.93/13.19 (( 12.93/13.19 X705 & 12.93/13.19 ( 12.93/13.19 V_52 = 12.93/13.19 X706)) | 12.93/13.19 (( 12.93/13.19 ~X705) & 12.93/13.19 (V_52 = 12.93/13.19 X707))))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X708, 12.93/13.19 X709:$o, 12.93/13.19 X710]: 12.93/13.19 (in( 12.93/13.19 X710,X708) => 12.93/13.19 (![X711]: 12.93/13.19 (in( 12.93/13.19 X711,X708) => 12.93/13.19 in( 12.93/13.19 if( 12.93/13.19 X708, 12.93/13.19 X709, 12.93/13.19 X710,X711), 12.93/13.19 X708))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X712]: 12.93/13.19 (singleton( 12.93/13.19 X712) => 12.93/13.19 (![X713]: 12.93/13.19 (in( 12.93/13.19 X713,X712) => 12.93/13.19 (setunion( 12.93/13.19 X712) = 12.93/13.19 X713))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X714, 12.93/13.19 X715:$o, 12.93/13.19 X716]: 12.93/13.19 (in( 12.93/13.19 X716,X714) => 12.93/13.19 (![X717]: 12.93/13.19 (in( 12.93/13.19 X717,X714) => 12.93/13.19 (X715 => 12.93/13.19 (if( 12.93/13.19 X714, 12.93/13.19 X715, 12.93/13.19 X716,X717) = 12.93/13.19 X716)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X718, 12.93/13.19 X719:$o, 12.93/13.19 X720]: 12.93/13.19 (in( 12.93/13.19 X720,X718) => 12.93/13.19 (![X721]: 12.93/13.19 (in( 12.93/13.19 X721,X718) => 12.93/13.19 (( 12.93/13.19 ~X719) => 12.93/13.19 (if( 12.93/13.19 X718, 12.93/13.19 X719, 12.93/13.19 X720,X721) = 12.93/13.19 X721)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X722, 12.93/13.19 X723:$o, 12.93/13.19 X724]: 12.93/13.19 (in( 12.93/13.19 X724,X722) => 12.93/13.19 (![X725]: 12.93/13.19 (in( 12.93/13.19 X725,X722) => 12.93/13.19 in( 12.93/13.19 if( 12.93/13.19 X722, 12.93/13.19 X723, 12.93/13.19 X724,X725), 12.93/13.19 setadjoin( 12.93/13.19 X724, 12.93/13.19 setadjoin( 12.93/13.19 X725, 12.93/13.19 emptyset))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X726, 12.93/13.19 X727]: 12.93/13.19 (in( 12.93/13.19 X727, 12.93/13.19 powerset( 12.93/13.19 X726)) => 12.93/13.19 (![X728]: 12.93/13.19 (in( 12.93/13.19 X728, 12.93/13.19 powerset( 12.93/13.19 X726)) => 12.93/13.19 in( 12.93/13.19 binintersect( 12.93/13.19 X727,X728), 12.93/13.19 powerset( 12.93/13.19 X726)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X729, 12.93/13.19 X730]: 12.93/13.19 (in( 12.93/13.19 X730, 12.93/13.19 powerset( 12.93/13.19 X729)) => 12.93/13.19 (![X731]: 12.93/13.19 (in( 12.93/13.19 X731, 12.93/13.19 powerset( 12.93/13.19 X729)) => 12.93/13.19 in( 12.93/13.19 binunion( 12.93/13.19 X730,X731), 12.93/13.19 powerset( 12.93/13.19 X729)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X732, 12.93/13.19 X733]: 12.93/13.19 (in( 12.93/13.19 X733, 12.93/13.19 powerset( 12.93/13.19 X732)) => 12.93/13.19 in( 12.93/13.19 powerset( 12.93/13.19 X733), 12.93/13.19 powerset( 12.93/13.19 powerset( 12.93/13.19 X732))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X734, 12.93/13.19 X735]: 12.93/13.19 (in( 12.93/13.19 X735, 12.93/13.19 powerset( 12.93/13.19 X734)) => 12.93/13.19 (![X736]: 12.93/13.19 (in( 12.93/13.19 X736, 12.93/13.19 powerset( 12.93/13.19 X734)) => 12.93/13.19 in( 12.93/13.19 setminus( 12.93/13.19 X735,X736), 12.93/13.19 powerset( 12.93/13.19 X734)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X737, 12.93/13.19 X738]: 12.93/13.19 (in( 12.93/13.19 X738, 12.93/13.19 powerset( 12.93/13.19 X737)) => 12.93/13.19 in( 12.93/13.19 setminus( 12.93/13.19 X737,X738), 12.93/13.19 powerset( 12.93/13.19 X737)))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X739, 12.93/13.19 X740]: 12.93/13.19 (in( 12.93/13.19 X740, 12.93/13.19 powerset( 12.93/13.19 X739)) => 12.93/13.19 (![X741]: 12.93/13.19 (in( 12.93/13.19 X741, 12.93/13.19 powerset( 12.93/13.19 X739)) => 12.93/13.19 (( 12.93/13.19 ![X742]: 12.93/13.19 (in( 12.93/13.19 X742,X739) => 12.93/13.19 (in( 12.93/13.19 X742,X740) => 12.93/13.19 in( 12.93/13.19 X742,X741)))) => 12.93/13.19 (( 12.93/13.19 ![X743]: 12.93/13.19 (in( 12.93/13.19 X743,X739) => 12.93/13.19 (in( 12.93/13.19 X743,X741) => 12.93/13.19 in( 12.93/13.19 X743,X740)))) => 12.93/13.19 (X740 = 12.93/13.19 X741))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X744, 12.93/13.19 X745]: 12.93/13.19 (in( 12.93/13.19 X745, 12.93/13.19 powerset( 12.93/13.19 X744)) => 12.93/13.19 (![X746]: 12.93/13.19 (in( 12.93/13.19 X746, 12.93/13.19 powerset( 12.93/13.19 X744)) => 12.93/13.19 (( 12.93/13.19 ![X747]: 12.93/13.19 (in( 12.93/13.19 X747,X744) => 12.93/13.19 (in( 12.93/13.19 X747,X745) => 12.93/13.19 in( 12.93/13.19 X747,X746)))) => 12.93/13.19 subset( 12.93/13.19 X745,X746)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X748, 12.93/13.19 X749]: 12.93/13.19 (in( 12.93/13.19 X749, 12.93/13.19 powerset( 12.93/13.19 X748)) => 12.93/13.19 (![X750]: 12.93/13.19 (in( 12.93/13.19 X750, 12.93/13.19 powerset( 12.93/13.19 X748)) => 12.93/13.19 (( 12.93/13.19 ![X751]: 12.93/13.19 (in( 12.93/13.19 X751,X748) => 12.93/13.19 (in( 12.93/13.19 X751,X749) => 12.93/13.19 in( 12.93/13.19 X751,X750)))) => 12.93/13.19 in( 12.93/13.19 X749, 12.93/13.19 powerset( 12.93/13.19 X750))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X752, 12.93/13.19 X753]: 12.93/13.19 (in( 12.93/13.19 X753, 12.93/13.19 powerset( 12.93/13.19 X752)) => 12.93/13.19 (![X754]: 12.93/13.19 (in( 12.93/13.19 X754, 12.93/13.19 powerset( 12.93/13.19 X752)) => 12.93/13.19 (![X755]: 12.93/13.19 (in( 12.93/13.19 X755,X752) => 12.93/13.19 (in( 12.93/13.19 X753, 12.93/13.19 powerset( 12.93/13.19 X754)) => 12.93/13.19 (in( 12.93/13.19 X755,X753) => 12.93/13.19 in( 12.93/13.19 X755,X754))))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X756, 12.93/13.19 X757]: 12.93/13.19 (in( 12.93/13.19 X757, 12.93/13.19 powerset( 12.93/13.19 X756)) => 12.93/13.19 (![X758]: 12.93/13.19 (in( 12.93/13.19 X758,X756) => 12.93/13.19 (in( 12.93/13.19 X758,X757) => 12.93/13.19 (~ 12.93/13.19 in( 12.93/13.19 X758, 12.93/13.19 setminus( 12.93/13.19 X756,X757)))))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X759, 12.93/13.19 X760]: 12.93/13.19 (in( 12.93/13.19 X760, 12.93/13.19 powerset( 12.93/13.19 X759)) => 12.93/13.19 (![X761]: 12.93/13.19 (in( 12.93/13.19 X761,X759) => 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X761, 12.93/13.19 setminus( 12.93/13.19 X759,X760))) => 12.93/13.19 in( 12.93/13.19 X761,X760)))))) => 12.93/13.19 ( 12.93/13.19 ( 12.93/13.19 ![X762, 12.93/13.19 X763]: 12.93/13.19 (in( 12.93/13.19 X763, 12.93/13.19 powerset( 12.93/13.19 X762)) => 12.93/13.19 (![X764]: 12.93/13.19 (in( 12.93/13.19 X764, 12.93/13.19 powerset( 12.93/13.19 X762)) => 12.93/13.19 (![X765]: 12.93/13.19 (in( 12.93/13.19 X765,X762) => 12.93/13.19 (( 12.93/13.19 ~ 12.93/13.19 in( 12.93/13.19 X765,X763)) => 12.93/13.20 (~ 12.93/13.20 in( 12.93/13.20 X765, 12.93/13.20 binintersect( 12.93/13.20 X763,X764)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X766, 12.93/13.20 X767]: 12.93/13.20 (in( 12.93/13.20 X767, 12.93/13.20 powerset( 12.93/13.20 X766)) => 12.93/13.20 (![X768]: 12.93/13.20 (in( 12.93/13.20 X768, 12.93/13.20 powerset( 12.93/13.20 X766)) => 12.93/13.20 (![X769]: 12.93/13.20 (in( 12.93/13.20 X769,X766) => 12.93/13.20 (( 12.93/13.20 ~ 12.93/13.20 in( 12.93/13.20 X769,X768)) => 12.93/13.20 (~ 12.93/13.20 in( 12.93/13.20 X769, 12.93/13.20 binintersect( 12.93/13.20 X767,X768)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X770, 12.93/13.20 X771]: 12.93/13.20 (in( 12.93/13.20 X771, 12.93/13.20 powerset( 12.93/13.20 X770)) => 12.93/13.20 (![X772]: 12.93/13.20 (in( 12.93/13.20 X772, 12.93/13.20 powerset( 12.93/13.20 X770)) => 12.93/13.20 (![X773]: 12.93/13.20 (in( 12.93/13.20 X773,X770) => 12.93/13.20 (subset( 12.93/13.20 X771, 12.93/13.20 setminus( 12.93/13.20 X770,X772)) => 12.93/13.20 (in( 12.93/13.20 X773,X772) => 12.93/13.20 (~ 12.93/13.20 in( 12.93/13.20 X773,X771)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X774, 12.93/13.20 X775]: 12.93/13.20 (in( 12.93/13.20 X775, 12.93/13.20 powerset( 12.93/13.20 X774)) => 12.93/13.20 (![X776]: 12.93/13.20 (in( 12.93/13.20 X776, 12.93/13.20 powerset( 12.93/13.20 X774)) => 12.93/13.20 (![X777]: 12.93/13.20 (in( 12.93/13.20 X777,X774) => 12.93/13.20 (subset( 12.93/13.20 X775,X776) => 12.93/13.20 (( 12.93/13.20 ~ 12.93/13.20 in( 12.93/13.20 X777,X776)) => 12.93/13.20 (~ 12.93/13.20 in( 12.93/13.20 X777,X775)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X778, 12.93/13.20 X779]: 12.93/13.20 (in( 12.93/13.20 X779, 12.93/13.20 powerset( 12.93/13.20 X778)) => 12.93/13.20 (![X780]: 12.93/13.20 (in( 12.93/13.20 X780, 12.93/13.20 powerset( 12.93/13.20 X778)) => 12.93/13.20 (subset( 12.93/13.20 X779,X780) => 12.93/13.20 subset( 12.93/13.20 setminus( 12.93/13.20 X778,X780), 12.93/13.20 setminus( 12.93/13.20 X778,X779))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X781, 12.93/13.20 X782]: 12.93/13.20 (in( 12.93/13.20 X782, 12.93/13.20 powerset( 12.93/13.20 X781)) => 12.93/13.20 (![X783]: 12.93/13.20 (in( 12.93/13.20 X783, 12.93/13.20 powerset( 12.93/13.20 X781)) => 12.93/13.20 (subset( 12.93/13.20 setminus( 12.93/13.20 X781,X783), 12.93/13.20 setminus( 12.93/13.20 X781,X782)) => 12.93/13.20 subset( 12.93/13.20 X782,X783)))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X784, 12.93/13.20 X785]: 12.93/13.20 (in( 12.93/13.20 X785, 12.93/13.20 powerset( 12.93/13.20 X784)) => 12.93/13.20 (![X786]: 12.93/13.20 (in( 12.93/13.20 X786,X784) => 12.93/13.20 (in( 12.93/13.20 X786,X785) => 12.93/13.20 in( 12.93/13.20 X786, 12.93/13.20 setminus( 12.93/13.20 X784, 12.93/13.20 setminus( 12.93/13.20 X784,X785)))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X787, 12.93/13.20 X788]: 12.93/13.20 (in( 12.93/13.20 X788, 12.93/13.20 powerset( 12.93/13.20 X787)) => 12.93/13.20 (![X789]: 12.93/13.20 (in( 12.93/13.20 X789,X787) => 12.93/13.20 (in( 12.93/13.20 X789, 12.93/13.20 setminus( 12.93/13.20 X787, 12.93/13.20 setminus( 12.93/13.20 X787,X788))) => 12.93/13.20 in( 12.93/13.20 X789,X788)))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X790, 12.93/13.20 X791]: 12.93/13.20 (in( 12.93/13.20 X791, 12.93/13.20 powerset( 12.93/13.20 X790)) => 12.93/13.20 subset( 12.93/13.20 X791, 12.93/13.20 setminus( 12.93/13.20 X790, 12.93/13.20 setminus( 12.93/13.20 X790,X791))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X792, 12.93/13.20 X793]: 12.93/13.20 (in( 12.93/13.20 X793, 12.93/13.20 powerset( 12.93/13.20 X792)) => 12.93/13.20 subset( 12.93/13.20 setminus( 12.93/13.20 X792, 12.93/13.20 setminus( 12.93/13.20 X792,X793)), 12.93/13.20 X793))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X794, 12.93/13.20 X795]: 12.93/13.20 (in( 12.93/13.20 X795, 12.93/13.20 powerset( 12.93/13.20 X794)) => 12.93/13.20 (X795 = 12.93/13.20 setminus( 12.93/13.20 X794, 12.93/13.20 setminus( 12.93/13.20 X794,X795))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X796, 12.93/13.20 X797]: 12.93/13.20 (in( 12.93/13.20 X797, 12.93/13.20 powerset( 12.93/13.20 X796)) => 12.93/13.20 (![X798]: 12.93/13.20 (in( 12.93/13.20 X798, 12.93/13.20 powerset( 12.93/13.20 X796)) => 12.93/13.20 (![X799]: 12.93/13.20 (in( 12.93/13.20 X799,X796) => 12.93/13.20 (in( 12.93/13.20 X799, 12.93/13.20 setminus( 12.93/13.20 X796,X797)) => 12.93/13.20 (~ 12.93/13.20 in( 12.93/13.20 X799, 12.93/13.20 binintersect( 12.93/13.20 X797,X798)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X800, 12.93/13.20 X801]: 12.93/13.20 (in( 12.93/13.20 X801, 12.93/13.20 powerset( 12.93/13.20 X800)) => 12.93/13.20 (![X802]: 12.93/13.20 (in( 12.93/13.20 X802, 12.93/13.20 powerset( 12.93/13.20 X800)) => 12.93/13.20 (![X803]: 12.93/13.20 (in( 12.93/13.20 X803,X800) => 12.93/13.20 (in( 12.93/13.20 X803, 12.93/13.20 setminus( 12.93/13.20 X800,X801)) => 12.93/13.20 in( 12.93/13.20 X803, 12.93/13.20 setminus( 12.93/13.20 X800, 12.93/13.20 binintersect( 12.93/13.20 X801,X802)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X804, 12.93/13.20 X805]: 12.93/13.20 (in( 12.93/13.20 X805, 12.93/13.20 powerset( 12.93/13.20 X804)) => 12.93/13.20 (![X806]: 12.93/13.20 (in( 12.93/13.20 X806, 12.93/13.20 powerset( 12.93/13.20 X804)) => 12.93/13.20 subset( 12.93/13.20 setminus( 12.93/13.20 X804,X805), 12.93/13.20 setminus( 12.93/13.20 X804, 12.93/13.20 binintersect( 12.93/13.20 X805,X806))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X807, 12.93/13.20 X808]: 12.93/13.20 (in( 12.93/13.20 X808, 12.93/13.20 powerset( 12.93/13.20 X807)) => 12.93/13.20 (![X809]: 12.93/13.20 (in( 12.93/13.20 X809, 12.93/13.20 powerset( 12.93/13.20 X807)) => 12.93/13.20 in( 12.93/13.20 setminus( 12.93/13.20 X807,X808), 12.93/13.20 powerset( 12.93/13.20 setminus( 12.93/13.20 X807, 12.93/13.20 binintersect( 12.93/13.20 X808,X809)))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X810, 12.93/13.20 X811]: 12.93/13.20 (in( 12.93/13.20 X811, 12.93/13.20 powerset( 12.93/13.20 X810)) => 12.93/13.20 (![X812]: 12.93/13.20 (in( 12.93/13.20 X812, 12.93/13.20 powerset( 12.93/13.20 X810)) => 12.93/13.20 (subset( 12.93/13.20 X811, 12.93/13.20 setminus( 12.93/13.20 X810,X812)) => 12.93/13.20 (![X813]: 12.93/13.20 (in( 12.93/13.20 X813,X810) => 12.93/13.20 (in( 12.93/13.20 X813,X812) => 12.93/13.20 in( 12.93/13.20 X813, 12.93/13.20 setminus( 12.93/13.20 X810,X811)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X814, 12.93/13.20 X815]: 12.93/13.20 (in( 12.93/13.20 X815, 12.93/13.20 powerset( 12.93/13.20 X814)) => 12.93/13.20 (![X816]: 12.93/13.20 (in( 12.93/13.20 X816, 12.93/13.20 powerset( 12.93/13.20 X814)) => 12.93/13.20 (subset( 12.93/13.20 X815, 12.93/13.20 setminus( 12.93/13.20 X814,X816)) => 12.93/13.20 subset( 12.93/13.20 X816, 12.93/13.20 setminus( 12.93/13.20 X814,X815))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X817, 12.93/13.20 X818]: 12.93/13.20 (in( 12.93/13.20 X818, 12.93/13.20 powerset( 12.93/13.20 X817)) => 12.93/13.20 (![X819]: 12.93/13.20 (in( 12.93/13.20 X819, 12.93/13.20 powerset( 12.93/13.20 X817)) => 12.93/13.20 (![X820]: 12.93/13.20 (in( 12.93/13.20 X820,X817) => 12.93/13.20 (( 12.93/13.20 ~ 12.93/13.20 in( 12.93/13.20 X820, 12.93/13.20 binunion( 12.93/13.20 X818,X819))) => 12.93/13.20 (~ 12.93/13.20 in( 12.93/13.20 X820,X818))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X821, 12.93/13.20 X822]: 12.93/13.20 (in( 12.93/13.20 X822, 12.93/13.20 powerset( 12.93/13.20 X821)) => 12.93/13.20 (![X823]: 12.93/13.20 (in( 12.93/13.20 X823, 12.93/13.20 powerset( 12.93/13.20 X821)) => 12.93/13.20 (![X824]: 12.93/13.20 (in( 12.93/13.20 X824,X821) => 12.93/13.20 (( 12.93/13.20 ~ 12.93/13.20 in( 12.93/13.20 X824, 12.93/13.20 binunion( 12.93/13.20 X822,X823))) => 12.93/13.20 (~ 12.93/13.20 in( 12.93/13.20 X824,X823))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X825, 12.93/13.20 X826]: 12.93/13.20 (in( 12.93/13.20 X826, 12.93/13.20 powerset( 12.93/13.20 X825)) => 12.93/13.20 (![X827]: 12.93/13.20 (in( 12.93/13.20 X827, 12.93/13.20 powerset( 12.93/13.20 X825)) => 12.93/13.20 (![X828]: 12.93/13.20 (in( 12.93/13.20 X828, 12.93/13.20 powerset( 12.93/13.20 X825)) => 12.93/13.20 (![X829]: 12.93/13.20 (in( 12.93/13.20 X829,X825) => 12.93/13.20 (in( 12.93/13.20 X829, 12.93/13.20 binintersect( 12.93/13.20 X826,X827)) => 12.93/13.20 in( 12.93/13.20 X829, 12.93/13.20 binunion( 12.93/13.20 X826,X828))))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X830, 12.93/13.20 X831]: 12.93/13.20 (in( 12.93/13.20 X831, 12.93/13.20 powerset( 12.93/13.20 X830)) => 12.93/13.20 (![X832]: 12.93/13.20 (in( 12.93/13.20 X832, 12.93/13.20 powerset( 12.93/13.20 X830)) => 12.93/13.20 (![X833]: 12.93/13.20 (in( 12.93/13.20 X833, 12.93/13.20 powerset( 12.93/13.20 X830)) => 12.93/13.20 (![X834]: 12.93/13.20 (in( 12.93/13.20 X834,X830) => 12.93/13.20 (in( 12.93/13.20 X834, 12.93/13.20 binintersect( 12.93/13.20 X831,X832)) => 12.93/13.20 in( 12.93/13.20 X834, 12.93/13.20 binunion( 12.93/13.20 X832,X833))))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X835, 12.93/13.20 X836]: 12.93/13.20 (in( 12.93/13.20 X836, 12.93/13.20 powerset( 12.93/13.20 X835)) => 12.93/13.20 (![X837]: 12.93/13.20 (in( 12.93/13.20 X837, 12.93/13.20 powerset( 12.93/13.20 X835)) => 12.93/13.20 (![X838]: 12.93/13.20 (in( 12.93/13.20 X838, 12.93/13.20 powerset( 12.93/13.20 X835)) => 12.93/13.20 (![X839]: 12.93/13.20 (in( 12.93/13.20 X839,X835) => 12.93/13.20 (in( 12.93/13.20 X839, 12.93/13.20 binintersect( 12.93/13.20 X836,X837)) => 12.93/13.20 in( 12.93/13.20 X839, 12.93/13.20 binintersect( 12.93/13.20 binunion( 12.93/13.20 X836,X838), 12.93/13.20 binunion( 12.93/13.20 X837,X838)))))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X840, 12.93/13.20 X841]: 12.93/13.20 (in( 12.93/13.20 X841, 12.93/13.20 powerset( 12.93/13.20 X840)) => 12.93/13.20 (![X842]: 12.93/13.20 (in( 12.93/13.20 X842, 12.93/13.20 powerset( 12.93/13.20 X840)) => 12.93/13.20 (![X843]: 12.93/13.20 (in( 12.93/13.20 X843, 12.93/13.20 powerset( 12.93/13.20 X840)) => 12.93/13.20 in( 12.93/13.20 binintersect( 12.93/13.20 X841,X842), 12.93/13.20 powerset( 12.93/13.20 binintersect( 12.93/13.20 binunion( 12.93/13.20 X841,X843), 12.93/13.20 binunion( 12.93/13.20 X842,X843)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X844, 12.93/13.20 X845]: 12.93/13.20 (in( 12.93/13.20 X845, 12.93/13.20 powerset( 12.93/13.20 X844)) => 12.93/13.20 (![X846]: 12.93/13.20 (in( 12.93/13.20 X846, 12.93/13.20 powerset( 12.93/13.20 X844)) => 12.93/13.20 (![X847]: 12.93/13.20 (in( 12.93/13.20 X847,X844) => 12.93/13.20 (in( 12.93/13.20 X847, 12.93/13.20 setminus( 12.93/13.20 X844, 12.93/13.20 binunion( 12.93/13.20 X845,X846))) => 12.93/13.20 (~ 12.93/13.20 in( 12.93/13.20 X847,X845))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X848, 12.93/13.20 X849]: 12.93/13.20 (in( 12.93/13.20 X849, 12.93/13.20 powerset( 12.93/13.20 X848)) => 12.93/13.20 (![X850]: 12.93/13.20 (in( 12.93/13.20 X850, 12.93/13.20 powerset( 12.93/13.20 X848)) => 12.93/13.20 (![X851]: 12.93/13.20 (in( 12.93/13.20 X851,X848) => 12.93/13.20 (in( 12.93/13.20 X851, 12.93/13.20 setminus( 12.93/13.20 X848, 12.93/13.20 binunion( 12.93/13.20 X849,X850))) => 12.93/13.20 in( 12.93/13.20 X851, 12.93/13.20 setminus( 12.93/13.20 X848,X849))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X852, 12.93/13.20 X853]: 12.93/13.20 (in( 12.93/13.20 X853, 12.93/13.20 powerset( 12.93/13.20 X852)) => 12.93/13.20 (![X854]: 12.93/13.20 (in( 12.93/13.20 X854, 12.93/13.20 powerset( 12.93/13.20 X852)) => 12.93/13.20 (![X855:$o, 12.93/13.20 X856]: 12.93/13.20 (in( 12.93/13.20 X856,X852) => 12.93/13.20 (in( 12.93/13.20 X856, 12.93/13.20 binunion( 12.93/13.20 X853,X854)) => 12.93/13.20 (( 12.93/13.20 in( 12.93/13.20 X856,X853) => 12.93/13.20 X855) => 12.93/13.20 (( 12.93/13.20 in( 12.93/13.20 X856,X854) => 12.93/13.20 X855) => 12.93/13.20 X855))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X857, 12.93/13.20 X858]: 12.93/13.20 (in( 12.93/13.20 X858, 12.93/13.20 powerset( 12.93/13.20 X857)) => 12.93/13.20 (![X859]: 12.93/13.20 (in( 12.93/13.20 X859, 12.93/13.20 powerset( 12.93/13.20 X857)) => 12.93/13.20 (![X860]: 12.93/13.20 (in( 12.93/13.20 X860,X857) => 12.93/13.20 (( 12.93/13.20 ~ 12.93/13.20 in( 12.93/13.20 X860,X858)) => 12.93/13.20 (( 12.93/13.20 ~ 12.93/13.20 in( 12.93/13.20 X860,X859)) => 12.93/13.20 (~ 12.93/13.20 in( 12.93/13.20 X860, 12.93/13.20 binunion( 12.93/13.20 X858,X859))))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X861, 12.93/13.20 X862]: 12.93/13.20 (in( 12.93/13.20 X862, 12.93/13.20 powerset( 12.93/13.20 X861)) => 12.93/13.20 (![X863]: 12.93/13.20 (in( 12.93/13.20 X863, 12.93/13.20 powerset( 12.93/13.20 X861)) => 12.93/13.20 (![X864]: 12.93/13.20 (in( 12.93/13.20 X864,X861) => 12.93/13.20 (in( 12.93/13.20 X864, 12.93/13.20 setminus( 12.93/13.20 X861, 12.93/13.20 binunion( 12.93/13.20 X862,X863))) => 12.93/13.20 in( 12.93/13.20 X864, 12.93/13.20 setminus( 12.93/13.20 X861,X862))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X865, 12.93/13.20 X866]: 12.93/13.20 (in( 12.93/13.20 X866, 12.93/13.20 powerset( 12.93/13.20 X865)) => 12.93/13.20 (![X867]: 12.93/13.20 (in( 12.93/13.20 X867, 12.93/13.20 powerset( 12.93/13.20 X865)) => 12.93/13.20 in( 12.93/13.20 setminus( 12.93/13.20 X865, 12.93/13.20 binunion( 12.93/13.20 X866,X867)), 12.93/13.20 powerset( 12.93/13.20 setminus( 12.93/13.20 X865,X866))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X868, 12.93/13.20 X869]: 12.93/13.20 (in( 12.93/13.20 X869, 12.93/13.20 powerset( 12.93/13.20 X868)) => 12.93/13.20 (![X870]: 12.93/13.20 (in( 12.93/13.20 X870, 12.93/13.20 powerset( 12.93/13.20 X868)) => 12.93/13.20 (![X871]: 12.93/13.20 (in( 12.93/13.20 X871,X868) => 12.93/13.20 (in( 12.93/13.20 X871, 12.93/13.20 setminus( 12.93/13.20 X868, 12.93/13.20 binunion( 12.93/13.20 X869,X870))) => 12.93/13.20 in( 12.93/13.20 X871, 12.93/13.20 setminus( 12.93/13.20 X868,X870))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X872, 12.93/13.20 X873]: 12.93/13.20 (in( 12.93/13.20 X873, 12.93/13.20 powerset( 12.93/13.20 X872)) => 12.93/13.20 (![X874]: 12.93/13.20 (in( 12.93/13.20 X874, 12.93/13.20 powerset( 12.93/13.20 X872)) => 12.93/13.20 (![X875]: 12.93/13.20 (in( 12.93/13.20 X875,X872) => 12.93/13.20 (in( 12.93/13.20 X875, 12.93/13.20 setminus( 12.93/13.20 X872, 12.93/13.20 binintersect( 12.93/13.20 X873,X874))) => 12.93/13.20 in( 12.93/13.20 X875, 12.93/13.20 binunion( 12.93/13.20 setminus( 12.93/13.20 X872,X873), 12.93/13.20 setminus( 12.93/13.20 X872,X874)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X876, 12.93/13.20 X877]: 12.93/13.20 (in( 12.93/13.20 X877, 12.93/13.20 powerset( 12.93/13.20 X876)) => 12.93/13.20 (![X878]: 12.93/13.20 (in( 12.93/13.20 X878, 12.93/13.20 powerset( 12.93/13.20 X876)) => 12.93/13.20 (![X879]: 12.93/13.20 (in( 12.93/13.20 X879,X876) => 12.93/13.20 (in( 12.93/13.20 X879, 12.93/13.20 binunion( 12.93/13.20 setminus( 12.93/13.20 X876,X877), 12.93/13.20 setminus( 12.93/13.20 X876,X878))) => 12.93/13.20 in( 12.93/13.20 X879, 12.93/13.20 setminus( 12.93/13.20 X876, 12.93/13.20 binintersect( 12.93/13.20 X877,X878)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X880, 12.93/13.20 X881]: 12.93/13.20 (in( 12.93/13.20 X881, 12.93/13.20 powerset( 12.93/13.20 X880)) => 12.93/13.20 (![X882]: 12.93/13.20 (in( 12.93/13.20 X882, 12.93/13.20 powerset( 12.93/13.20 X880)) => 12.93/13.20 (setminus( 12.93/13.20 X880, 12.93/13.20 binintersect( 12.93/13.20 X881,X882)) = 12.93/13.20 binunion( 12.93/13.20 setminus( 12.93/13.20 X880,X881), 12.93/13.20 setminus( 12.93/13.20 X880,X882))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X883, 12.93/13.20 X884]: 12.93/13.20 (in( 12.93/13.20 X884, 12.93/13.20 powerset( 12.93/13.20 X883)) => 12.93/13.20 (![X885]: 12.93/13.20 (in( 12.93/13.20 X885, 12.93/13.20 powerset( 12.93/13.20 X883)) => 12.93/13.20 (![X886]: 12.93/13.20 (in( 12.93/13.20 X886,X883) => 12.93/13.20 (in( 12.93/13.20 X886, 12.93/13.20 setminus( 12.93/13.20 X883, 12.93/13.20 binunion( 12.93/13.20 X884,X885))) => 12.93/13.20 in( 12.93/13.20 X886, 12.93/13.20 binintersect( 12.93/13.20 setminus( 12.93/13.20 X883,X884), 12.93/13.20 setminus( 12.93/13.20 X883,X885)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X887, 12.93/13.20 X888]: 12.93/13.20 (in( 12.93/13.20 X888, 12.93/13.20 powerset( 12.93/13.20 X887)) => 12.93/13.20 (![X889]: 12.93/13.20 (in( 12.93/13.20 X889, 12.93/13.20 powerset( 12.93/13.20 X887)) => 12.93/13.20 (![X890]: 12.93/13.20 (in( 12.93/13.20 X890,X887) => 12.93/13.20 (in( 12.93/13.20 X890, 12.93/13.20 setminus( 12.93/13.20 X887,X888)) => 12.93/13.20 (in( 12.93/13.20 X890, 12.93/13.20 setminus( 12.93/13.20 X887,X889)) => 12.93/13.20 in( 12.93/13.20 X890, 12.93/13.20 setminus( 12.93/13.20 X887, 12.93/13.20 binunion( 12.93/13.20 X888,X889))))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X891, 12.93/13.20 X892]: 12.93/13.20 (in( 12.93/13.20 X892, 12.93/13.20 powerset( 12.93/13.20 X891)) => 12.93/13.20 (![X893]: 12.93/13.20 (in( 12.93/13.20 X893, 12.93/13.20 powerset( 12.93/13.20 X891)) => 12.93/13.20 (![X894]: 12.93/13.20 (in( 12.93/13.20 X894,X891) => 12.93/13.20 (in( 12.93/13.20 X894, 12.93/13.20 binintersect( 12.93/13.20 setminus( 12.93/13.20 X891,X892), 12.93/13.20 setminus( 12.93/13.20 X891,X893))) => 12.93/13.20 in( 12.93/13.20 X894, 12.93/13.20 setminus( 12.93/13.20 X891, 12.93/13.20 binunion( 12.93/13.20 X892,X893)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X895, 12.93/13.20 X896]: 12.93/13.20 (in( 12.93/13.20 X896, 12.93/13.20 powerset( 12.93/13.20 X895)) => 12.93/13.20 (![X897]: 12.93/13.20 (in( 12.93/13.20 X897, 12.93/13.20 powerset( 12.93/13.20 X895)) => 12.93/13.20 (setminus( 12.93/13.20 X895, 12.93/13.20 binunion( 12.93/13.20 X896,X897)) = 12.93/13.20 binintersect( 12.93/13.20 setminus( 12.93/13.20 X895,X896), 12.93/13.20 setminus( 12.93/13.20 X895,X897))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X898, 12.93/13.20 X899]: 12.93/13.20 (in( 12.93/13.20 X899, 12.93/13.20 powerset( 12.93/13.20 X898)) => 12.93/13.20 (![X900]: 12.93/13.20 (in( 12.93/13.20 X900, 12.93/13.20 powerset( 12.93/13.20 X898)) => 12.93/13.20 (![X901]: 12.93/13.20 (in( 12.93/13.20 X901, 12.93/13.20 binintersect( 12.93/13.20 X899,X900)) => 12.93/13.20 in( 12.93/13.20 X901,X898))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X902, 12.93/13.20 X903]: 12.93/13.20 (in( 12.93/13.20 X903, 12.93/13.20 powerset( 12.93/13.20 X902)) => 12.93/13.20 (![X904]: 12.93/13.20 (in( 12.93/13.20 X904, 12.93/13.20 powerset( 12.93/13.20 X902)) => 12.93/13.20 (![X905]: 12.93/13.20 (in( 12.93/13.20 X905, 12.93/13.20 powerset( 12.93/13.20 X902)) => 12.93/13.20 (subset( 12.93/13.20 X903,X905) => 12.93/13.20 subset( 12.93/13.20 binintersect( 12.93/13.20 X903,X904), 12.93/13.20 X905)))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X906, 12.93/13.20 X907]: 12.93/13.20 (in( 12.93/13.20 X907, 12.93/13.20 powerset( 12.93/13.20 X906)) => 12.93/13.20 (![X908]: 12.93/13.20 (in( 12.93/13.20 X908, 12.93/13.20 powerset( 12.93/13.20 X906)) => 12.93/13.20 (![X909]: 12.93/13.20 (in( 12.93/13.20 X909, 12.93/13.20 powerset( 12.93/13.20 X906)) => 12.93/13.20 (subset( 12.93/13.20 X908,X909) => 12.93/13.20 subset( 12.93/13.20 binintersect( 12.93/13.20 X907,X908), 12.93/13.20 X909)))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X910, 12.93/13.20 X911]: 12.93/13.20 (in( 12.93/13.20 X911, 12.93/13.20 powerset( 12.93/13.20 X910)) => 12.93/13.20 (![X912]: 12.93/13.20 (in( 12.93/13.20 X912, 12.93/13.20 powerset( 12.93/13.20 X910)) => 12.93/13.20 (![X913]: 12.93/13.20 (in( 12.93/13.20 X913, 12.93/13.20 powerset( 12.93/13.20 X910)) => 12.93/13.20 (subset( 12.93/13.20 X911,X912) => 12.93/13.20 (subset( 12.93/13.20 X911,X913) => 12.93/13.20 subset( 12.93/13.20 X911, 12.93/13.20 binintersect( 12.93/13.20 X912,X913)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X914, 12.93/13.20 X915]: 12.93/13.20 (in( 12.93/13.20 X915, 12.93/13.20 powerset( 12.93/13.20 X914)) => 12.93/13.20 (![X916]: 12.93/13.20 (in( 12.93/13.20 X916, 12.93/13.20 powerset( 12.93/13.20 X914)) => 12.93/13.20 (![X917]: 12.93/13.20 (in( 12.93/13.20 X917, 12.93/13.20 powerset( 12.93/13.20 X914)) => 12.93/13.20 (![X918]: 12.93/13.20 (in( 12.93/13.20 X918, 12.93/13.20 powerset( 12.93/13.20 X914)) => 12.93/13.20 (subset( 12.93/13.20 X915,X917) => 12.93/13.20 (subset( 12.93/13.20 X916,X918) => 12.93/13.20 subset( 12.93/13.20 binintersect( 12.93/13.20 X915,X916), 12.93/13.20 binintersect( 12.93/13.20 X917,X918)))))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X919, 12.93/13.20 X920]: 12.93/13.20 (in( 12.93/13.20 X920, 12.93/13.20 powerset( 12.93/13.20 X919)) => 12.93/13.20 (![X921]: 12.93/13.20 (in( 12.93/13.20 X921, 12.93/13.20 powerset( 12.93/13.20 X919)) => 12.93/13.20 in( 12.93/13.20 setminus( 12.93/13.20 X919,X920), 12.93/13.20 powerset( 12.93/13.20 setminus( 12.93/13.20 X919, 12.93/13.20 binintersect( 12.93/13.20 X920,X921)))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X922, 12.93/13.20 X923]: 12.93/13.20 (in( 12.93/13.20 X923, 12.93/13.20 powerset( 12.93/13.20 X922)) => 12.93/13.20 (![X924]: 12.93/13.20 (in( 12.93/13.20 X924, 12.93/13.20 powerset( 12.93/13.20 X922)) => 12.93/13.20 (![X925]: 12.93/13.20 (in( 12.93/13.20 X925, 12.93/13.20 powerset( 12.93/13.20 X922)) => 12.93/13.20 (![X926]: 12.93/13.20 (in( 12.93/13.20 X926, 12.93/13.20 powerset( 12.93/13.20 X922)) => 12.93/13.20 (setminus( 12.93/13.20 X922, 12.93/13.20 binintersect( 12.93/13.20 binunion( 12.93/13.20 X923,X924), 12.93/13.20 binunion( 12.93/13.20 X925,X926))) = 12.93/13.20 binunion( 12.93/13.20 binintersect( 12.93/13.20 setminus( 12.93/13.20 X922,X923), 12.93/13.20 setminus( 12.93/13.20 X922,X924)), 12.93/13.20 binintersect( 12.93/13.20 setminus( 12.93/13.20 X922,X925), 12.93/13.20 setminus( 12.93/13.20 X922,X926)))))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X927, 12.93/13.20 X928]: 12.93/13.20 (in( 12.93/13.20 X928, 12.93/13.20 powerset( 12.93/13.20 X927)) => 12.93/13.20 (![X929]: 12.93/13.20 (in( 12.93/13.20 X929, 12.93/13.20 powerset( 12.93/13.20 X927)) => 12.93/13.20 (![X930]: 12.93/13.20 (in( 12.93/13.20 X930, 12.93/13.20 powerset( 12.93/13.20 X927)) => 12.93/13.20 in( 12.93/13.20 binintersect( 12.93/13.20 X928,X929), 12.93/13.20 powerset( 12.93/13.20 binintersect( 12.93/13.20 binunion( 12.93/13.20 X928,X930), 12.93/13.20 binunion( 12.93/13.20 X929,X930)))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X931, 12.93/13.20 X932]: 12.93/13.20 (in( 12.93/13.20 X932, 12.93/13.20 powerset( 12.93/13.20 X931)) => 12.93/13.20 (![X933]: 12.93/13.20 (in( 12.93/13.20 X933, 12.93/13.20 powerset( 12.93/13.20 X931)) => 12.93/13.20 (subset( 12.93/13.20 X932, 12.93/13.20 setminus( 12.93/13.20 X931,X933)) => 12.93/13.20 subset( 12.93/13.20 X933, 12.93/13.20 setminus( 12.93/13.20 X931,X932))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X934, 12.93/13.20 X935]: 12.93/13.20 (in( 12.93/13.20 X935, 12.93/13.20 powerset( 12.93/13.20 X934)) => 12.93/13.20 (![X936]: 12.93/13.20 (in( 12.93/13.20 X936, 12.93/13.20 powerset( 12.93/13.20 X934)) => 12.93/13.20 in( 12.93/13.20 setminus( 12.93/13.20 X934, 12.93/13.20 binunion( 12.93/13.20 X935,X936)), 12.93/13.20 powerset( 12.93/13.20 setminus( 12.93/13.20 X934,X935))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X937, 12.93/13.20 X938]: 12.93/13.20 (subset( 12.93/13.20 X938, 12.93/13.20 cartprod( 12.93/13.20 X937,X937)) => 12.93/13.20 (![X939:( 12.93/13.20 $i > $o)]: 12.93/13.20 (( 12.93/13.20 ![X940]: 12.93/13.20 (in( 12.93/13.20 X940,X937) => 12.93/13.20 (![X941]: 12.93/13.20 (in( 12.93/13.20 X941,X937) => 12.93/13.20 (in( 12.93/13.20 kpair( 12.93/13.20 X940,X941), 12.93/13.20 X938) => 12.93/13.20 X939( 12.93/13.20 kpair( 12.93/13.20 X940,X941))))))) => 12.93/13.20 (![X942]: 12.93/13.20 (in( 12.93/13.20 X942,X938) => 12.93/13.20 X939( 12.93/13.20 X942))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X943, 12.93/13.20 X944]: 12.93/13.20 (in( 12.93/13.20 X944, 12.93/13.20 breln1Set( 12.93/13.20 X943)) => 12.93/13.20 subset( 12.93/13.20 X944, 12.93/13.20 cartprod( 12.93/13.20 X943,X943)))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X945, 12.93/13.20 X946, 12.93/13.20 X947:( 12.93/13.20 ($i * $i) > 12.93/13.20 $o)]: 12.93/13.20 (( 12.93/13.20 ![X948]: 12.93/13.20 (in( 12.93/13.20 X948,X945) => 12.93/13.20 (?[X949]: 12.93/13.20 (in( 12.93/13.20 X949,X946) & 12.93/13.20 X947( 12.93/13.20 X948,X949))))) => 12.93/13.20 (![X950]: 12.93/13.20 (in( 12.93/13.20 X950, 12.93/13.20 breln1Set( 12.93/13.20 X946)) => 12.93/13.20 (reflwellordering( 12.93/13.20 X946,X950) => 12.93/13.20 (![X951]: 12.93/13.20 (in( 12.93/13.20 X951,X945) => 12.93/13.20 singleton( 12.93/13.20 dsetconstr( 12.93/13.20 X946, 12.93/13.20 ^[V_53]: 12.93/13.20 (X947( 12.93/13.20 X951,V_53) & 12.93/13.20 (![X952]: 12.93/13.20 (in( 12.93/13.20 X952,X946) => 12.93/13.20 (X947( 12.93/13.20 X951,X952) => 12.93/13.20 in( 12.93/13.20 kpair( 12.93/13.20 V_53,X952), 12.93/13.20 X950)))))))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X953, 12.93/13.20 X954:( 12.93/13.20 ($i * $i) > 12.93/13.20 $o)]: 12.93/13.20 subset( 12.93/13.20 dpsetconstr( 12.93/13.20 X953, 12.93/13.20 X953, 12.93/13.20 ^[V_54, 12.93/13.20 V_55]: 12.93/13.20 X954( 12.93/13.20 V_54,V_55)), 12.93/13.20 cartprod( 12.93/13.20 X953,X953))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X955, 12.93/13.20 X956]: 12.93/13.20 (subset( 12.93/13.20 X956, 12.93/13.20 cartprod( 12.93/13.20 X955,X955)) => 12.93/13.20 (![X957:( 12.93/13.20 $i > $o)]: 12.93/13.20 (( 12.93/13.20 ![X958]: 12.93/13.20 (in( 12.93/13.20 X958,X955) => 12.93/13.20 (![X959]: 12.93/13.20 (in( 12.93/13.20 X959,X955) => 12.93/13.20 (in( 12.93/13.20 kpair( 12.93/13.20 X958,X959), 12.93/13.20 X956) => 12.93/13.20 X957( 12.93/13.20 kpair( 12.93/13.20 X958,X959))))))) => 12.93/13.20 (![X960]: 12.93/13.20 (in( 12.93/13.20 X960,X956) => 12.93/13.20 X957( 12.93/13.20 X960))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X961, 12.93/13.20 X962]: 12.93/13.20 (subset( 12.93/13.20 X962, 12.93/13.20 cartprod( 12.93/13.20 X961,X961)) => 12.93/13.20 (![X963]: 12.93/13.20 (subset( 12.93/13.20 X963, 12.93/13.20 cartprod( 12.93/13.20 X961,X961)) => 12.93/13.20 (( 12.93/13.20 ![X964]: 12.93/13.20 (in( 12.93/13.20 X964,X961) => 12.93/13.20 (![X965]: 12.93/13.20 (in( 12.93/13.20 X965,X961) => 12.93/13.20 (in( 12.93/13.20 kpair( 12.93/13.20 X964,X965), 12.93/13.20 X962) => 12.93/13.20 in( 12.93/13.20 kpair( 12.93/13.20 X964,X965), 12.93/13.20 X963)))))) => 12.93/13.20 subset( 12.93/13.20 X962,X963)))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X966, 12.93/13.20 X967]: 12.93/13.20 (subset( 12.93/13.20 X967, 12.93/13.20 cartprod( 12.93/13.20 X966,X966)) => 12.93/13.20 (![X968]: 12.93/13.20 (subset( 12.93/13.20 X968, 12.93/13.20 cartprod( 12.93/13.20 X966,X966)) => 12.93/13.20 (( 12.93/13.20 ![X969]: 12.93/13.20 (in( 12.93/13.20 X969,X966) => 12.93/13.20 (![X970]: 12.93/13.20 (in( 12.93/13.20 X970,X966) => 12.93/13.20 (in( 12.93/13.20 kpair( 12.93/13.20 X969,X970), 12.93/13.20 X967) => 12.93/13.20 in( 12.93/13.20 kpair( 12.93/13.20 X969,X970), 12.93/13.20 X968)))))) => 12.93/13.20 (( 12.93/13.20 ![X971]: 12.93/13.20 (in( 12.93/13.20 X971,X966) => 12.93/13.20 (![X972]: 12.93/13.20 (in( 12.93/13.20 X972,X966) => 12.93/13.20 (in( 12.93/13.20 kpair( 12.93/13.20 X971,X972), 12.93/13.20 X968) => 12.93/13.20 in( 12.93/13.20 kpair( 12.93/13.20 X971,X972), 12.93/13.20 X967)))))) => 12.93/13.20 (X967 = 12.93/13.20 X968))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X973, 12.93/13.20 X974]: 12.93/13.20 (subset( 12.93/13.20 X974, 12.93/13.20 cartprod( 12.93/13.20 X973,X973)) => 12.93/13.20 subset( 12.93/13.20 breln1invset( 12.93/13.20 X973,X974), 12.93/13.20 cartprod( 12.93/13.20 X973,X973)))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X975, 12.93/13.20 X976]: 12.93/13.20 (subset( 12.93/13.20 X976, 12.93/13.20 cartprod( 12.93/13.20 X975,X975)) => 12.93/13.20 (![X977]: 12.93/13.20 (in( 12.93/13.20 X977,X975) => 12.93/13.20 (![X978]: 12.93/13.20 (in( 12.93/13.20 X978,X975) => 12.93/13.20 (in( 12.93/13.20 kpair( 12.93/13.20 X977,X978), 12.93/13.20 X976) => 12.93/13.20 in( 12.93/13.20 kpair( 12.93/13.20 X978,X977), 12.93/13.20 breln1invset( 12.93/13.20 X975,X976))))))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X979, 12.93/13.20 X980]: 12.93/13.20 (subset( 12.93/13.20 X980, 12.93/13.20 cartprod( 12.93/13.20 X979,X979)) => 12.93/13.20 (![X981]: 12.93/13.20 (in( 12.93/13.20 X981,X979) => 12.93/13.20 (![X982]: 12.93/13.20 (in( 12.93/13.20 X982,X979) => 12.93/13.20 (in( 12.93/13.20 kpair( 12.93/13.20 X982,X981), 12.93/13.20 breln1invset( 12.93/13.20 X979,X980)) => 12.93/13.20 in( 12.93/13.20 kpair( 12.93/13.20 X981,X982), 12.93/13.20 X980)))))))) => 12.93/13.20 ( 12.93/13.20 ![X983, 12.93/13.20 X984]: 12.93/13.20 (subset( 12.93/13.20 X984, 12.93/13.20 cartprod( 12.93/13.20 X983,X983)) => 12.93/13.20 (![X985]: 12.93/13.20 (subset( 12.93/13.20 X985, 12.93/13.20 cartprod( 12.93/13.20 X983,X983)) => 12.93/13.20 subset( 12.93/13.20 dpsetconstr( 12.93/13.20 X983, 12.93/13.20 X983, 12.93/13.20 ^[V_56, 12.93/13.20 V_57]: 12.93/13.20 (?[X986]: 12.93/13.20 (in( 12.93/13.20 X986,X983) & 12.93/13.20 in( 12.93/13.20 kpair( 12.93/13.20 V_56,X986), 12.93/13.20 X984) & 12.93/13.20 in( 12.93/13.20 kpair( 12.93/13.20 X986,V_57), 12.93/13.20 X985)))), 12.93/13.20 cartprod( 12.93/13.20 X983,X983))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 12.93/13.20 tff(zf_stmt_1, type, zip_tseitin5 : ($i * $i > $o) > $o). 12.93/13.20 tff(zf_stmt_2, axiom, 12.93/13.20 (zip_tseitin5(X211,X207) <=> 12.93/13.20 ((![X212]: zip_tseitin4(X212,X211,X207)) & X207(X211)))). 12.93/13.20 tff(zf_stmt_3, type, zip_tseitin4 : ($i * $i * $i > $o) > $o). 12.93/13.20 tff(zf_stmt_4, axiom, 12.93/13.20 (zip_tseitin4(X212,X211,X207) <=> (X207(X212) => (X211 = X212)))). 12.93/13.20 tff(zf_stmt_5, type, zip_tseitin3 : ($i * $i * $i * ($i * $i) > $o) > $o). 12.93/13.20 tff(zf_stmt_6, axiom, 12.93/13.20 (zip_tseitin3(X26,X25,X20,X19) <=> (X19(X26,X25) & in(X26,X20)))). 12.93/13.20 tff(zf_stmt_7, type, zip_tseitin2 : ($i * $i * $i) > $o). 12.93/13.20 tff(zf_stmt_8, axiom, 12.93/13.20 (zip_tseitin2(X14,X13,X12) <=> (in(X14,X12) & in(X13,X14)))). 12.93/13.20 tff(zf_stmt_9, type, zip_tseitin1 : ($i * $i * $i) > $o). 12.93/13.20 tff(zf_stmt_10, axiom, 12.93/13.20 (zip_tseitin1(X11,X10,X9) <=> (in(X11,X10) => in(X11,X9)))). 12.93/13.20 tff(zf_stmt_11, type, zip_tseitin0 : ($i * $i * $i) > $o). 12.93/13.20 tff(zf_stmt_12, axiom, (zip_tseitin0(X8,X7,X6) <=> (in(X8,X7) | (X8 = X6)))). 12.93/13.20 tff(zf_stmt_13, conjecture, 12.93/13.20 ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) => 12.93/13.20 ((![X5]: (~in(X5,emptyset))) => 12.93/13.20 ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> zip_tseitin0(X8,X7,X6))) => 12.93/13.20 ((![X9,X10]: 12.93/13.20 (in(X10,powerset(X9)) <=> (![X11]: zip_tseitin1(X11,X10,X9)))) => 12.93/13.20 ((![X12,X13]: 12.93/13.20 (in(X13,setunion(X12)) <=> (?[X14]: zip_tseitin2(X14,X13,X12)))) => 12.93/13.20 (in(emptyset,omega) => 12.93/13.20 ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) => 12.93/13.20 ((![X16]: 12.93/13.20 (((![X17]: 12.93/13.20 ((in(X17,X16) & in(X17,omega)) => 12.93/13.20 in(setadjoin(X17,X17),X16))) & 12.93/13.20 in(emptyset,X16)) => 12.93/13.20 (![X18]: (in(X18,omega) => in(X18,X16))))) => 12.93/13.20 ((![X19:(($i * $i) > $o),X20]: 12.93/13.20 ((![X21]: 12.93/13.20 (in(X21,X20) => 12.93/13.20 (?[X22]: 12.93/13.20 ((![X23]: (X19(X21,X23) => (X22 = X23))) & X19(X21,X22))))) => 12.93/13.20 (?[X24]: 12.93/13.20 (![X25]: 12.93/13.20 (in(X25,X24) <=> (?[X26]: zip_tseitin3(X26,X25,X20,X19))))))) => 12.93/13.20 ((![X27]: 12.93/13.20 ((?[X28]: in(X28,X27)) => 12.93/13.20 (?[X29]: 12.93/13.20 ((~(?[X30]: (in(X30,X27) & in(X30,X29)))) & in(X29,X27))))) => 12.93/13.20 ((![X31]: 12.93/13.20 (?[X32]: 12.93/13.20 ((![X33]: 12.93/13.20 (((?[X34]: in(X34,X33)) & 12.93/13.20 (![X35]: (in(X35,X33) => in(X35,X31)))) => 12.93/13.20 (?[X36,X37]: 12.93/13.20 ((![X38]: 12.93/13.20 (in(X38,X32) => 12.93/13.20 (in(X37,X38) | 12.93/13.20 (![X39]: (in(X39,X38) => in(X39,X36)))))) & 12.93/13.20 (~(?[X40]: (in(X40,X33) & in(X40,X36)))) & 12.93/13.20 in(X37,X33) & in(X36,X32))))) & 12.93/13.20 (![X41,X42]: 12.93/13.20 ((in(X42,X32) & in(X41,X32)) => 12.93/13.20 ((![X43]: (in(X43,X42) => in(X43,X41))) | 12.93/13.20 (![X44]: (in(X44,X41) => in(X44,X42)))))) & 12.93/13.20 (![X45,X46]: 12.93/13.20 ((in(X46,X31) & in(X45,X31)) => 12.93/13.20 ((![X47]: 12.93/13.20 (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) => 12.93/13.20 (X45 = X46)))) & 12.93/13.20 (![X48]: 12.93/13.20 (in(X48,X32) => (![X49]: (in(X49,X48) => in(X49,X31)))))))) => 12.93/13.20 ((![X50:($i > $o)]: 12.93/13.20 ((?[X51]: ((![X52]: (X50(X52) => (X51 = X52))) & X50(X51))) => 12.93/13.20 X50(descr(^[V_1]: X50(V_1))))) => 12.93/13.20 ((![X53,X54:($i > $o),X55]: 12.93/13.20 (in(X55,X53) => 12.93/13.20 (X54(X55) => in(X55,dsetconstr(X53,^[V_2]: X54(V_2)))))) => 12.93/13.20 ((![X56,X57:($i > $o),X58]: 12.93/13.20 (in(X58,dsetconstr(X56,^[V_3]: X57(V_3))) => in(X58,X56))) => 12.93/13.20 ((![X59,X60:($i > $o),X61]: 12.93/13.20 (in(X61,dsetconstr(X59,^[V_4]: X60(V_4))) => X60(X61))) => 12.93/13.20 ((![X62:($i > $o)]: 12.93/13.20 ((?[X63]: 12.93/13.20 ((![X64]: (X62(X64) => (X63 = X64))) & X62(X63))) => 12.93/13.20 (?[X65]: 12.93/13.20 ((![X66]: (X62(X66) => (X65 = X66))) & X62(X65))))) => 12.93/13.20 ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) => 12.93/13.20 ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) => 12.93/13.20 ((![X71]: (in(X71,emptyset) => $false)) => 12.93/13.20 ((![X72]: (~in(X72,emptyset))) => 12.93/13.20 ((![X73:($i > $o)]: 12.93/13.20 ((?[X74]: 12.93/13.20 ((![X75]: (X73(X75) => (X74 = X75))) & X73(X74))) => 12.93/13.20 (?[X76]: X73(X76)))) => 12.93/13.20 ((![X77,X78]: 12.93/13.20 ((![X79]: (in(X79,X77) => in(X79,X78))) => 12.93/13.20 ((![X80]: (in(X80,X78) => in(X80,X77))) => 12.93/13.20 (X77 = X78)))) => 12.93/13.20 ((![X81]: 12.93/13.20 ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) => 12.93/13.20 ((![X83]: 12.93/13.20 ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) => 12.93/13.20 ((![X85,X86:($i > $o),X87]: 12.93/13.20 (in(X87,X85) => 12.93/13.20 (in(X87,dsetconstr(X85,^[V_5]: X86(V_5))) <=> 12.93/13.20 X86(X87)))) => 12.93/13.20 ((![X88]: 12.93/13.20 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) => 12.93/13.20 ((![X90,X91:($i > $o),X92]: 12.93/13.20 (in(X92,X90) => 12.93/13.20 (X91(X92) => 12.93/13.20 (dsetconstr(X90,^[V_6]: X91(V_6)) != 12.93/13.20 emptyset)))) => 12.93/13.20 ((![X93]: 12.93/13.20 ((?[X94]: in(X94,X93)) => (X93 != emptyset))) => 12.93/13.20 ((![X95,X96]: in(X95,setadjoin(X95,X96))) => 12.93/13.20 (in(emptyset,setadjoin(emptyset,emptyset)) => 12.93/13.20 ((![X97,X98,X99]: 12.93/13.20 (in(X99,X98) => 12.93/13.20 in(X99,setadjoin(X97,X98)))) => 12.93/13.20 ((![X100,X101,X102]: 12.93/13.20 (in(X102,setadjoin(X100,X101)) => 12.93/13.20 (![X103:$o]: 12.93/13.20 (((X102 = X100) => X103) => 12.93/13.20 ((in(X102,X101) => X103) => X103))))) => 12.93/13.20 ((![X104,X105,X106]: 12.93/13.20 (in(X106,setadjoin(X104,X105)) => 12.93/13.20 (in(X106,X105) | (X106 = X104)))) => 12.93/13.20 ((![X107]: 12.93/13.20 (dsetconstr(X107,^[V_7]: $true) = X107)) => 12.93/13.20 ((![X108,X109]: 12.93/13.20 ((![X110]: 12.93/13.20 (in(X110,X109) => in(X110,X108))) => 12.93/13.20 in(X109,powerset(X108)))) => 12.93/13.20 ((![X111]: in(emptyset,powerset(X111))) => 12.93/13.20 ((![X112]: in(emptyset,powerset(X112))) => 12.93/13.20 ((![X113,X114,X115]: 12.93/13.20 (in(X114,powerset(X113)) => 12.93/13.20 (in(X115,X114) => in(X115,X113)))) => 12.93/13.20 ((![X116,X117,X118]: 12.93/13.20 (in(X117,X118) => 12.93/13.20 (in(X118,X116) => 12.93/13.20 in(X117,setunion(X116))))) => 12.93/13.20 ((![X119,X120]: 12.93/13.20 (in(X120,setunion(X119)) => 12.93/13.20 (![X121:$o]: 12.93/13.20 ((![X122]: 12.93/13.20 (in(X120,X122) => 12.93/13.20 (in(X122,X119) => X121))) => 12.93/13.20 X121)))) => 12.93/13.20 ((![X123,X124]: 12.93/13.20 (in(X124,X123) => 12.93/13.20 in(X124, 12.93/13.20 powerset(setunion(X123))))) => 12.93/13.20 ((![X125:($i > $o)]: 12.93/13.20 ((?[X126]: 12.93/13.20 ((![X127]: 12.93/13.20 (X125(X127) => 12.93/13.20 (X126 = X127))) & 12.93/13.20 X125(X126))) => 12.93/13.20 (?[X128]: 12.93/13.20 (![X129]: 12.93/13.20 (X125(X129) <=> 12.93/13.20 (X129 = X128)))))) => 12.93/13.20 ((![X130]: 12.93/13.20 ((X130 != emptyset) => 12.93/13.20 (?[X131]: in(X131,X130)))) => 12.93/13.20 ((![X132,X133]: 12.93/13.20 (in(X132, 12.93/13.20 setadjoin(X133,emptyset)) => 12.93/13.20 (X132 = X133))) => 12.93/13.20 ((![X134,X135]: 12.93/13.20 ((X134 != X135) => 12.93/13.20 (~ 12.93/13.20 in(X135, 12.93/13.20 setadjoin(X134, 12.93/13.20 emptyset))))) => 12.93/13.20 ((![X136,X137]: 12.93/13.20 ((X136 = X137) => 12.93/13.20 in(X136, 12.93/13.20 setadjoin(X137, 12.93/13.20 emptyset)))) => 12.93/13.20 ((![X138,X139]: 12.93/13.20 (in(X138, 12.93/13.20 setadjoin(X139, 12.93/13.20 emptyset)) => 12.93/13.20 in(X139, 12.93/13.20 setadjoin(X138, 12.93/13.20 emptyset)))) => 12.93/13.20 ((![X140,X141,X142]: 12.93/13.20 (in(X142, 12.93/13.20 setadjoin(X140, 12.93/13.20 setadjoin( 12.93/13.20 X141, 12.93/13.20 emptyset))) => 12.93/13.20 ((X142 = X141) | 12.93/13.20 (X142 = X140)))) => 12.93/13.20 ((![X143,X144]: 12.93/13.20 in(X143, 12.93/13.20 setadjoin(X143, 12.93/13.20 setadjoin( 12.93/13.20 X144, 12.93/13.20 emptyset)))) => 12.93/13.20 ((![X145,X146]: 12.93/13.20 in(X146, 12.93/13.20 setadjoin(X145, 12.93/13.20 setadjoin( 12.93/13.20 X146, 12.93/13.20 emptyset)))) => 12.93/13.20 ((![X147,X148:($i > $o)]: 12.93/13.20 ((?[X149]: 12.93/13.20 (X148(X149) & 12.93/13.20 in(X149,X147))) => 12.93/13.20 ((dsetconstr( 12.93/13.20 X147, 12.93/13.20 ^[V_8]: X148(V_8)) = 12.93/13.20 emptyset) => 12.93/13.20 $false))) => 12.93/13.20 ((![X150:($i > $o),X151]: 12.93/13.20 (in(X151,emptyset) => 12.93/13.20 X150(X151))) => 12.93/13.20 ((![X152,X153:($i > $o)]: 12.93/13.20 ((~ 12.93/13.20 (![X154]: 12.93/13.20 (in(X154,X152) => 12.93/13.20 X153(X154)))) => 12.93/13.20 (?[X155]: 12.93/13.20 ((~X153(X155)) & 12.93/13.20 in(X155,X152))))) => 12.93/13.20 ((![X156, 12.93/13.20 X157:($i > $o)]: 12.93/13.20 ((![X158]: 12.93/13.20 (in(X158,X156) => 12.93/13.20 (~X157(X158)))) => 12.93/13.20 (~ 12.93/13.20 (?[X159]: 12.93/13.20 (X157(X159) & 12.93/13.20 in( 12.93/13.20 X159,X156)))))) => 12.93/13.20 ((![X160, 12.93/13.20 X161:($i > $o)]: 12.93/13.20 ((~ 12.93/13.20 (?[X162]: 12.93/13.20 (X161(X162) & 12.93/13.20 in( 12.93/13.20 X162,X160)))) => 12.93/13.20 (![X163]: 12.93/13.20 (in(X163,X160) => 12.93/13.20 (~X161(X163)))))) => 12.93/13.20 ((![X164, 12.93/13.20 X165:($i > $o)]: 12.93/13.20 ((?[X166]: 12.93/13.20 ((~ 12.93/13.20 X165( 12.93/13.20 X166)) & 12.93/13.20 in( 12.93/13.20 X166,X164))) => 12.93/13.20 (~ 12.93/13.20 (![X167]: 12.93/13.20 (in( 12.93/13.20 X167,X164) => 12.93/13.20 X165( 12.93/13.20 X167)))))) => 12.93/13.20 ((![X168:$o]: 12.93/13.20 (X168 => 12.93/13.20 in(emptyset, 12.93/13.20 prop2set( 12.93/13.20 X168)))) => 12.93/13.20 ((![X169:$o]: 12.93/13.20 (X169 => 12.93/13.20 set2prop( 12.93/13.20 prop2set( 12.93/13.20 X169)))) => 12.93/13.20 ((![X170, 12.93/13.20 X171:( 12.93/13.20 $i > $o)]: 12.93/13.20 ((~ 12.93/13.20 (?[X172]: 12.93/13.20 (X171( 12.93/13.20 X172) & 12.93/13.20 in( 12.93/13.20 X172,X170)))) => 12.93/13.20 (![X173]: 12.93/13.20 ( 12.93/13.20 in( 12.93/13.20 X173,X170) => 12.93/13.20 ( 12.93/13.20 ~ 12.93/13.20 X171( 12.93/13.20 X173)))))) => 12.93/13.20 ((![X174, 12.93/13.20 X175:( 12.93/13.20 $i > $o)]: 12.93/13.20 ((~ 12.93/13.20 ( 12.93/13.20 ![X176]: 12.93/13.20 (in( 12.93/13.20 X176,X174) => 12.93/13.20 X175( 12.93/13.20 X176)))) => 12.93/13.20 (?[X177]: 12.93/13.20 (( 12.93/13.20 ~ 12.93/13.20 X175( 12.93/13.20 X177)) & 12.93/13.20 in( 12.93/13.20 X177,X174))))) => 12.93/13.20 ((![X178:( 12.93/13.20 $i > $o)]: 12.93/13.20 ((?[X179]: 12.93/13.20 (( 12.93/13.20 ![X180]: 12.93/13.20 (X178( 12.93/13.20 X180) => 12.93/13.20 (X179 = 12.93/13.20 X180))) & 12.93/13.20 X178( 12.93/13.20 X179))) => 12.93/13.20 (?[X181]: 12.93/13.20 (( 12.93/13.20 ![X182]: 12.93/13.20 (X178( 12.93/13.20 X182) => 12.93/13.20 (X181 = 12.93/13.20 X182))) & 12.93/13.20 X178( 12.93/13.20 X181))))) => 12.93/13.20 ((![X183:( 12.93/13.20 $i > $o)]: 12.93/13.20 (( 12.93/13.20 ?[X184]: 12.93/13.20 X183( 12.93/13.20 X184)) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X185, 12.93/13.20 X186]: 12.93/13.20 (X183( 12.93/13.20 X185) => 12.93/13.20 (X183( 12.93/13.20 X186) => 12.93/13.20 (X185 = 12.93/13.20 X186)))) => 12.93/13.20 ( 12.93/13.20 ?[X187]: 12.93/13.20 (( 12.93/13.20 ![X188]: 12.93/13.20 (X183( 12.93/13.20 X188) => 12.93/13.20 (X187 = 12.93/13.20 X188))) & 12.93/13.20 X183( 12.93/13.20 X187)))))) => 12.93/13.20 ((![X189:( 12.93/13.20 $i > $o)]: 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ?[X190]: 12.93/13.20 (![X191]: 12.93/13.20 (X189( 12.93/13.20 X191) <=> 12.93/13.20 (X191 = 12.93/13.20 X190)))) => 12.93/13.20 ( 12.93/13.20 ?[X192]: 12.93/13.20 (( 12.93/13.20 ![X193]: 12.93/13.20 (X189( 12.93/13.20 X193) => 12.93/13.20 (X192 = 12.93/13.20 X193))) & 12.93/13.20 X189( 12.93/13.20 X192))))) => 12.93/13.20 ((![X194, 12.93/13.20 X195]: 12.93/13.20 (( 12.93/13.20 X194 = 12.93/13.20 X195) => 12.93/13.20 (![X196, 12.93/13.20 X197]: 12.93/13.20 (( 12.93/13.20 X196 = 12.93/13.20 X197) => 12.93/13.20 (in( 12.93/13.20 X196,X194) => 12.93/13.20 in( 12.93/13.20 X197,X195)))))) => 12.93/13.20 ((![X198, 12.93/13.20 X199]: 12.93/13.20 (( 12.93/13.20 X198 = 12.93/13.20 X199) => 12.93/13.20 (![X200, 12.93/13.20 X201]: 12.93/13.20 (( 12.93/13.20 X200 = 12.93/13.20 X201) => 12.93/13.20 (in( 12.93/13.20 X200,X198) <=> 12.93/13.20 in( 12.93/13.20 X201,X199)))))) => 12.93/13.20 (( 12.93/13.20 ![X202:( 12.93/13.20 $i > $o)]: 12.93/13.20 (( 12.93/13.20 ?[X203]: 12.93/13.20 (( 12.93/13.20 ![X204]: 12.93/13.20 (X202( 12.93/13.20 X204) => 12.93/13.20 (X203 = 12.93/13.20 X204))) & 12.93/13.20 X202( 12.93/13.20 X203))) => 12.93/13.20 (![X205, 12.93/13.20 X206]: 12.93/13.20 (X202( 12.93/13.20 X205) => 12.93/13.20 (X202( 12.93/13.20 X206) => 12.93/13.20 (X205 = 12.93/13.20 X206)))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X207:( 12.93/13.20 $i > $o), 12.93/13.20 X208:( 12.93/13.20 $i > $o)]: 12.93/13.20 (( 12.93/13.20 ![X209, 12.93/13.20 X210]: 12.93/13.20 (( 12.93/13.20 X209 = 12.93/13.20 X210) => 12.93/13.20 (X207( 12.93/13.20 X209) <=> 12.93/13.20 X208( 12.93/13.20 X210)))) => 12.93/13.20 (( 12.93/13.20 ?[X211]: 12.93/13.20 zip_tseitin5( 12.93/13.20 X211,X207)) <=> 12.93/13.20 (?[X213]: 12.93/13.20 zip_tseitin5( 12.93/13.20 X213,X208))))) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 emptyset = 12.93/13.20 emptyset) => 12.93/13.20 ( 12.93/13.20 ( 12.93/13.20 ![X215, 12.93/13.20 X216]: 12.93/13.20 (( 12.93/13.20 X215 = 13.02/13.20 X216) => 13.02/13.20 (![X217, 13.02/13.20 X218]: 13.02/13.20 (( 13.02/13.20 X217 = 13.02/13.20 X218) => 13.02/13.20 (setadjoin( 13.02/13.20 X215,X217) = 13.02/13.20 setadjoin( 13.02/13.20 X216,X218)))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X219, 13.02/13.20 X220]: 13.02/13.20 (( 13.02/13.20 X219 = 13.02/13.20 X220) => 13.02/13.20 (powerset( 13.02/13.20 X219) = 13.02/13.20 powerset( 13.02/13.20 X220)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X221, 13.02/13.20 X222]: 13.02/13.20 (( 13.02/13.20 X221 = 13.02/13.20 X222) => 13.02/13.20 (setunion( 13.02/13.20 X221) = 13.02/13.20 setunion( 13.02/13.20 X222)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 omega = 13.02/13.20 omega) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X223:( 13.02/13.20 $i > $o)]: 13.02/13.20 (( 13.02/13.20 ?[X224]: 13.02/13.20 (( 13.02/13.20 ![X225]: 13.02/13.20 (X223( 13.02/13.20 X225) => 13.02/13.20 (X224 = 13.02/13.20 X225))) & 13.02/13.20 X223( 13.02/13.20 X224))) => 13.02/13.20 (![X226, 13.02/13.20 X227]: 13.02/13.20 (X223( 13.02/13.20 X226) => 13.02/13.20 (X223( 13.02/13.20 X227) => 13.02/13.20 (X226 = 13.02/13.20 X227)))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X228:( 13.02/13.20 $i > $o), 13.02/13.20 X229:( 13.02/13.20 $i > $o)]: 13.02/13.20 (( 13.02/13.20 ![X230, 13.02/13.20 X231]: 13.02/13.20 (( 13.02/13.20 X230 = 13.02/13.20 X231) => 13.02/13.20 (X228( 13.02/13.20 X230) <=> 13.02/13.20 X229( 13.02/13.20 X231)))) => 13.02/13.20 (( 13.02/13.20 ?[X232]: 13.02/13.20 (( 13.02/13.20 ![X233]: 13.02/13.20 (X228( 13.02/13.20 X233) => 13.02/13.20 (X232 = 13.02/13.20 X233))) & 13.02/13.20 X228( 13.02/13.20 X232))) => 13.02/13.20 (( 13.02/13.20 ?[X234]: 13.02/13.20 (( 13.02/13.20 ![X235]: 13.02/13.20 (X229( 13.02/13.20 X235) => 13.02/13.20 (X234 = 13.02/13.20 X235))) & 13.02/13.20 X229( 13.02/13.20 X234))) => 13.02/13.20 (descr( 13.02/13.20 ^[V_9]: 13.02/13.20 X228(V_9)) = 13.02/13.20 descr( 13.02/13.20 ^[V_10]: 13.02/13.20 X229( 13.02/13.20 V_10))))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X236, 13.02/13.20 X237]: 13.02/13.20 (( 13.02/13.20 X236 = 13.02/13.20 X237) => 13.02/13.20 (![X238:( 13.02/13.20 $i > $o), 13.02/13.20 X239:( 13.02/13.20 $i > $o)]: 13.02/13.20 (( 13.02/13.20 ![X240]: 13.02/13.20 (in( 13.02/13.20 X240,X236) => 13.02/13.20 (![X241]: 13.02/13.20 (in( 13.02/13.20 X241,X237) => 13.02/13.20 (( 13.02/13.20 X240 = 13.02/13.20 X241) => 13.02/13.20 (X238( 13.02/13.20 X240) <=> 13.02/13.20 X239( 13.02/13.20 X241))))))) => 13.02/13.20 (dsetconstr( 13.02/13.20 X236, 13.02/13.20 ^[V_11]: 13.02/13.20 X238( 13.02/13.20 V_11)) = 13.02/13.20 dsetconstr( 13.02/13.20 X237, 13.02/13.20 ^[V_12]: 13.02/13.20 X239( 13.02/13.20 V_12))))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X242, 13.02/13.20 X243]: 13.02/13.20 (( 13.02/13.20 ![X244]: 13.02/13.20 (in( 13.02/13.20 X244,X242) => 13.02/13.20 in( 13.02/13.20 X244,X243))) => 13.02/13.20 subset( 13.02/13.20 X242,X243))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X245, 13.02/13.20 X246]: 13.02/13.20 (( 13.02/13.20 X245 = 13.02/13.20 X246) => 13.02/13.20 subset( 13.02/13.20 X246,X245))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X247, 13.02/13.20 X248]: 13.02/13.20 (( 13.02/13.20 X247 = 13.02/13.20 X248) => 13.02/13.20 subset( 13.02/13.20 X247,X248))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X249, 13.02/13.20 X250]: 13.02/13.20 (( 13.02/13.20 ![X251]: 13.02/13.20 (in( 13.02/13.20 X251,X249) => 13.02/13.20 in( 13.02/13.20 X251,X250))) => 13.02/13.20 subset( 13.02/13.20 X249,X250))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X252]: 13.02/13.20 subset( 13.02/13.20 emptyset, 13.02/13.20 X252)) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X253, 13.02/13.20 X254,X255]: 13.02/13.20 (subset( 13.02/13.20 X253,X254) => 13.02/13.20 (in( 13.02/13.20 X255,X253) => 13.02/13.20 in( 13.02/13.20 X255,X254)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X256, 13.02/13.20 X257,X258]: 13.02/13.20 (subset( 13.02/13.20 X256,X257) => 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X258,X257)) => 13.02/13.20 (~ 13.02/13.20 in( 13.02/13.20 X258,X256))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X259, 13.02/13.20 X260,X261]: 13.02/13.20 (in( 13.02/13.20 X261,X259) => 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X261,X260)) => 13.02/13.20 (~ 13.02/13.20 subset( 13.02/13.20 X259,X260))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X262, 13.02/13.20 X263]: 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 subset( 13.02/13.20 X262,X263)) => 13.02/13.20 (X262 != 13.02/13.20 X263))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X264, 13.02/13.20 X265,X266]: 13.02/13.20 (in( 13.02/13.20 X266,X264) => 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X266,X265)) => 13.02/13.20 (X264 != 13.02/13.20 X265)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X267]: 13.02/13.20 subset( 13.02/13.20 X267,X267)) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X268, 13.02/13.20 X269,X270]: 13.02/13.20 (subset( 13.02/13.20 X268,X269) => 13.02/13.20 (subset( 13.02/13.20 X269,X270) => 13.02/13.20 subset( 13.02/13.20 X268,X270)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X271, 13.02/13.20 X272]: 13.02/13.20 subset( 13.02/13.20 X272, 13.02/13.20 setadjoin( 13.02/13.20 X271,X272))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X273, 13.02/13.20 X274,X275]: 13.02/13.20 (subset( 13.02/13.20 X273,X275) => 13.02/13.20 subset( 13.02/13.20 X273, 13.02/13.20 setadjoin( 13.02/13.20 X274,X275)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X276, 13.02/13.20 X277]: 13.02/13.20 (subset( 13.02/13.20 X276,X277) => 13.02/13.20 in( 13.02/13.20 X276, 13.02/13.20 powerset( 13.02/13.20 X277)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X278, 13.02/13.20 X279]: 13.02/13.20 (subset( 13.02/13.20 X278,X279) => 13.02/13.20 (subset( 13.02/13.20 X279,X278) => 13.02/13.20 (X278 = 13.02/13.20 X279)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X280]: 13.02/13.20 (subset( 13.02/13.20 X280, 13.02/13.20 emptyset) => 13.02/13.20 (X280 = 13.02/13.20 emptyset))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X281, 13.02/13.20 X282]: 13.02/13.20 (subset( 13.02/13.20 X282,X281) => 13.02/13.20 in( 13.02/13.20 X282, 13.02/13.20 powerset( 13.02/13.20 X281)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X283, 13.02/13.20 X284]: 13.02/13.20 (in( 13.02/13.20 X284, 13.02/13.20 powerset( 13.02/13.20 X283)) => 13.02/13.20 subset( 13.02/13.20 X284,X283))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X285]: 13.02/13.20 in( 13.02/13.20 X285, 13.02/13.20 powerset( 13.02/13.20 X285))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X286, 13.02/13.20 X287]: 13.02/13.20 (subset( 13.02/13.20 X286,X287) => 13.02/13.20 subset( 13.02/13.20 powerset( 13.02/13.20 X286), 13.02/13.20 powerset( 13.02/13.20 X287)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X288, 13.02/13.20 X289:( 13.02/13.20 $i > $o)]: 13.02/13.20 in( 13.02/13.20 dsetconstr( 13.02/13.20 X288, 13.02/13.20 ^[V_13]: 13.02/13.20 X289( 13.02/13.20 V_13)), 13.02/13.20 powerset( 13.02/13.20 X288))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X290, 13.02/13.20 X291:( 13.02/13.20 $i > $o)]: 13.02/13.20 subset( 13.02/13.20 dsetconstr( 13.02/13.20 X290, 13.02/13.20 ^[V_14]: 13.02/13.20 X291( 13.02/13.20 V_14)), 13.02/13.20 X290)) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X292, 13.02/13.20 X293,X294]: 13.02/13.20 (in( 13.02/13.20 X294,X292) => 13.02/13.20 in( 13.02/13.20 X294, 13.02/13.20 binunion( 13.02/13.20 X292,X293)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X295, 13.02/13.20 X296]: 13.02/13.20 in( 13.02/13.20 X296, 13.02/13.20 setadjoin( 13.02/13.20 X295, 13.02/13.20 setadjoin( 13.02/13.20 X296, 13.02/13.20 emptyset)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X297, 13.02/13.20 X298,X299]: 13.02/13.20 (in( 13.02/13.20 X299,X298) => 13.02/13.20 in( 13.02/13.20 X299, 13.02/13.20 binunion( 13.02/13.20 X297,X298)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X300, 13.02/13.20 X301, 13.02/13.20 X302, 13.02/13.20 X303:$o]: 13.02/13.20 (in( 13.02/13.20 X302, 13.02/13.20 binunion( 13.02/13.20 X300,X301)) => 13.02/13.20 (( 13.02/13.20 in( 13.02/13.20 X302,X300) => 13.02/13.20 X303) => 13.02/13.20 (( 13.02/13.20 in( 13.02/13.20 X302,X301) => 13.02/13.20 X303) => 13.02/13.20 X303)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X304, 13.02/13.20 X305,X306]: 13.02/13.20 (in( 13.02/13.20 X306, 13.02/13.20 binunion( 13.02/13.20 X304,X305)) => 13.02/13.20 (in( 13.02/13.20 X306,X305) | 13.02/13.20 in( 13.02/13.20 X306,X304)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X307, 13.02/13.20 X308]: 13.02/13.20 subset( 13.02/13.20 X307, 13.02/13.20 binunion( 13.02/13.20 X307,X308))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X309, 13.02/13.20 X310]: 13.02/13.20 subset( 13.02/13.20 X310, 13.02/13.20 binunion( 13.02/13.20 X309,X310))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X311, 13.02/13.20 X312,X313]: 13.02/13.20 (in( 13.02/13.20 X313,X311) => 13.02/13.20 (in( 13.02/13.20 X313,X312) => 13.02/13.20 in( 13.02/13.20 X313, 13.02/13.20 binintersect( 13.02/13.20 X311,X312))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X314, 13.02/13.20 X315,X316]: 13.02/13.20 (subset( 13.02/13.20 X316,X314) => 13.02/13.20 (subset( 13.02/13.20 X316,X315) => 13.02/13.20 subset( 13.02/13.20 X316, 13.02/13.20 binintersect( 13.02/13.20 X314,X315))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X317, 13.02/13.20 X318,X319]: 13.02/13.20 (in( 13.02/13.20 X319, 13.02/13.20 binintersect( 13.02/13.20 X317,X318)) => 13.02/13.20 in( 13.02/13.20 X319,X317))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X320, 13.02/13.20 X321]: 13.02/13.20 subset( 13.02/13.20 binintersect( 13.02/13.20 X320,X321), 13.02/13.20 X320)) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X322, 13.02/13.20 X323]: 13.02/13.20 (subset( 13.02/13.20 X322,X323) => 13.02/13.20 (binintersect( 13.02/13.20 X322,X323) = 13.02/13.20 X322))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X324, 13.02/13.20 X325]: 13.02/13.20 (( 13.02/13.20 binintersect( 13.02/13.20 X324,X325) = 13.02/13.20 X325) => 13.02/13.20 subset( 13.02/13.20 X325,X324))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X326, 13.02/13.20 X327,X328]: 13.02/13.20 (in( 13.02/13.20 X328, 13.02/13.20 binintersect( 13.02/13.20 X326,X327)) => 13.02/13.20 in( 13.02/13.20 X328,X327))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X329, 13.02/13.20 X330]: 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 ( 13.02/13.20 ?[X331]: 13.02/13.20 (in( 13.02/13.20 X331,X330) & 13.02/13.20 in( 13.02/13.20 X331,X329)))) => 13.02/13.20 (binintersect( 13.02/13.20 X329,X330) = 13.02/13.20 emptyset))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X332, 13.02/13.20 X333]: 13.02/13.20 subset( 13.02/13.20 binintersect( 13.02/13.20 X332,X333), 13.02/13.20 X333)) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X334, 13.02/13.20 X335]: 13.02/13.20 (subset( 13.02/13.20 X335,X334) => 13.02/13.20 (binintersect( 13.02/13.20 X334,X335) = 13.02/13.20 X335))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X336, 13.02/13.20 X337]: 13.02/13.20 (( 13.02/13.20 binintersect( 13.02/13.20 X336,X337) = 13.02/13.20 X336) => 13.02/13.20 subset( 13.02/13.20 X336,X337))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X338, 13.02/13.20 X339,X340]: 13.02/13.20 (binintersect( 13.02/13.20 X338, 13.02/13.20 binunion( 13.02/13.20 X339,X340)) = 13.02/13.20 binunion( 13.02/13.20 binintersect( 13.02/13.20 X338,X339), 13.02/13.20 binintersect( 13.02/13.20 X338,X340)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X341, 13.02/13.20 X342,X343]: 13.02/13.20 (in( 13.02/13.20 X343,X341) => 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X343,X342)) => 13.02/13.20 in( 13.02/13.20 X343, 13.02/13.20 setminus( 13.02/13.20 X341,X342))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X344, 13.02/13.20 X345,X346]: 13.02/13.20 (in( 13.02/13.20 X346, 13.02/13.20 setminus( 13.02/13.20 X344,X345)) => 13.02/13.20 in( 13.02/13.20 X346,X344))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X347, 13.02/13.20 X348,X349]: 13.02/13.20 (in( 13.02/13.20 X349, 13.02/13.20 setminus( 13.02/13.20 X347,X348)) => 13.02/13.20 (~ 13.02/13.20 in( 13.02/13.20 X349,X348)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X350, 13.02/13.20 X351]: 13.02/13.20 (subset( 13.02/13.20 X350,X351) => 13.02/13.20 (setminus( 13.02/13.20 X350,X351) = 13.02/13.20 emptyset))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X352, 13.02/13.20 X353,X354]: 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X354, 13.02/13.20 setminus( 13.02/13.20 X352,X353))) => 13.02/13.20 (in( 13.02/13.20 X354,X352) => 13.02/13.20 in( 13.02/13.20 X354,X353)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X355, 13.02/13.20 X356,X357]: 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X357, 13.02/13.20 setminus( 13.02/13.20 X355,X356))) => 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X357,X356)) => 13.02/13.20 (~ 13.02/13.20 in( 13.02/13.20 X357,X355))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X358, 13.02/13.20 X359,X360]: 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X360,X358)) => 13.02/13.20 (~ 13.02/13.20 in( 13.02/13.20 X360, 13.02/13.20 setminus( 13.02/13.20 X358,X359))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X361, 13.02/13.20 X362,X363]: 13.02/13.20 (in( 13.02/13.20 X363,X362) => 13.02/13.20 (~ 13.02/13.20 in( 13.02/13.20 X363, 13.02/13.20 setminus( 13.02/13.20 X361,X362))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X364, 13.02/13.20 X365]: 13.02/13.20 subset( 13.02/13.20 setminus( 13.02/13.20 X364,X365), 13.02/13.20 X364)) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X366, 13.02/13.20 X367]: 13.02/13.20 (( 13.02/13.20 setminus( 13.02/13.20 X366,X367) = 13.02/13.20 emptyset) => 13.02/13.20 subset( 13.02/13.20 X366,X367))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X368, 13.02/13.20 X369,X370]: 13.02/13.20 (in( 13.02/13.20 X370, 13.02/13.20 symdiff( 13.02/13.20 X368,X369)) => 13.02/13.20 (![X371:$o]: 13.02/13.20 (( 13.02/13.20 in( 13.02/13.20 X370,X368) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X370,X369)) => 13.02/13.20 X371)) => 13.02/13.20 (( 13.02/13.20 ( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X370,X368)) => 13.02/13.20 ( 13.02/13.20 in( 13.02/13.20 X370,X369) => 13.02/13.20 X371)) => 13.02/13.20 X371))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X372, 13.02/13.20 X373,X374]: 13.02/13.20 (in( 13.02/13.20 X374,X372) => 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X374,X373)) => 13.02/13.20 in( 13.02/13.20 X374, 13.02/13.20 symdiff( 13.02/13.20 X372,X373))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X375, 13.02/13.20 X376,X377]: 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X377,X375)) => 13.02/13.20 (in( 13.02/13.20 X377,X376) => 13.02/13.20 in( 13.02/13.20 X377, 13.02/13.20 symdiff( 13.02/13.20 X375,X376))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X378, 13.02/13.20 X379,X380]: 13.02/13.20 (in( 13.02/13.20 X380,X378) => 13.02/13.20 (in( 13.02/13.20 X380,X379) => 13.02/13.20 (~ 13.02/13.20 in( 13.02/13.20 X380, 13.02/13.20 symdiff( 13.02/13.20 X378,X379)))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X381, 13.02/13.20 X382,X383]: 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X383,X381)) => 13.02/13.20 (( 13.02/13.20 ~ 13.02/13.20 in( 13.02/13.20 X383,X382)) => 13.02/13.20 (~ 13.02/13.20 in( 13.02/13.20 X383, 13.02/13.20 symdiff( 13.02/13.20 X381,X382)))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X384, 13.02/13.20 X385]: 13.02/13.20 in( 13.02/13.20 X385, 13.02/13.20 setadjoin( 13.02/13.20 X384, 13.02/13.20 setadjoin( 13.02/13.20 X385, 13.02/13.20 emptyset)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X386, 13.02/13.20 X387]: 13.02/13.20 in( 13.02/13.20 X386, 13.02/13.20 setunion( 13.02/13.20 setadjoin( 13.02/13.20 setadjoin( 13.02/13.20 X386, 13.02/13.20 emptyset), 13.02/13.20 setadjoin( 13.02/13.20 setadjoin( 13.02/13.20 X386, 13.02/13.20 setadjoin( 13.02/13.20 X387, 13.02/13.20 emptyset)), 13.02/13.20 emptyset))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X388, 13.02/13.20 X389]: 13.02/13.20 in( 13.02/13.20 X389, 13.02/13.20 setunion( 13.02/13.20 setadjoin( 13.02/13.20 setadjoin( 13.02/13.20 X388, 13.02/13.20 emptyset), 13.02/13.20 setadjoin( 13.02/13.20 setadjoin( 13.02/13.20 X388, 13.02/13.20 setadjoin( 13.02/13.20 X389, 13.02/13.20 emptyset)), 13.02/13.20 emptyset))))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X390, 13.02/13.20 X391]: 13.02/13.20 iskpair( 13.02/13.20 setadjoin( 13.02/13.20 setadjoin( 13.02/13.20 X390, 13.02/13.20 emptyset), 13.02/13.20 setadjoin( 13.02/13.20 setadjoin( 13.02/13.20 X390, 13.02/13.20 setadjoin( 13.02/13.20 X391, 13.02/13.20 emptyset)), 13.02/13.20 emptyset)))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X392, 13.02/13.20 X393]: 13.02/13.20 iskpair( 13.02/13.20 kpair( 13.02/13.20 X392,X393))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X394, 13.02/13.20 X395]: 13.02/13.20 (in( 13.02/13.20 X395,X394) => 13.02/13.20 subset( 13.02/13.20 setadjoin( 13.02/13.20 X395, 13.02/13.20 emptyset), 13.02/13.20 X394))) => 13.02/13.20 ( 13.02/13.20 ( 13.02/13.20 ![X396, 13.02/13.20 X397]: 13.02/13.20 (in( 13.02/13.20 X397,X396) => 13.02/13.20 in( 13.02/13.20 setadjoin( 13.02/13.20 X397, 13.02/13.20 emptyset), 13.02/13.20 powerset( 13.02/13.21 X396)))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X398, 13.02/13.21 X399,X400]: 13.02/13.21 (in( 13.02/13.21 X400,X398) => 13.02/13.21 in( 13.02/13.21 setadjoin( 13.02/13.21 X400, 13.02/13.21 emptyset), 13.02/13.21 powerset( 13.02/13.21 binunion( 13.02/13.21 X398,X399))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X401, 13.02/13.21 X402,X403]: 13.02/13.21 (in( 13.02/13.21 X403, 13.02/13.21 setadjoin( 13.02/13.21 X401, 13.02/13.21 setadjoin( 13.02/13.21 X402, 13.02/13.21 emptyset))) => 13.02/13.21 (( 13.02/13.21 X403 = 13.02/13.21 X402) | 13.02/13.21 (X403 = 13.02/13.21 X401)))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X404, 13.02/13.21 X405,X406]: 13.02/13.21 (in( 13.02/13.21 X406,X404) => 13.02/13.21 (![X407]: 13.02/13.21 (in( 13.02/13.21 X407,X405) => 13.02/13.21 subset( 13.02/13.21 setadjoin( 13.02/13.21 X406, 13.02/13.21 setadjoin( 13.02/13.21 X407, 13.02/13.21 emptyset)), 13.02/13.21 binunion( 13.02/13.21 X404,X405)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X408, 13.02/13.21 X409,X410]: 13.02/13.21 (in( 13.02/13.21 X410,X408) => 13.02/13.21 (![X411]: 13.02/13.21 (in( 13.02/13.21 X411,X409) => 13.02/13.21 in( 13.02/13.21 setadjoin( 13.02/13.21 X410, 13.02/13.21 setadjoin( 13.02/13.21 X411, 13.02/13.21 emptyset)), 13.02/13.21 powerset( 13.02/13.21 binunion( 13.02/13.21 X408,X409))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X412, 13.02/13.21 X413,X414]: 13.02/13.21 (in( 13.02/13.21 X414,X412) => 13.02/13.21 (![X415]: 13.02/13.21 (in( 13.02/13.21 X415,X413) => 13.02/13.21 subset( 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X414, 13.02/13.21 emptyset), 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X414, 13.02/13.21 setadjoin( 13.02/13.21 X415, 13.02/13.21 emptyset)), 13.02/13.21 emptyset)), 13.02/13.21 powerset( 13.02/13.21 binunion( 13.02/13.21 X412,X413))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X416, 13.02/13.21 X417,X418]: 13.02/13.21 (in( 13.02/13.21 X418,X416) => 13.02/13.21 (![X419]: 13.02/13.21 (in( 13.02/13.21 X419,X417) => 13.02/13.21 in( 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X418, 13.02/13.21 emptyset), 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X418, 13.02/13.21 setadjoin( 13.02/13.21 X419, 13.02/13.21 emptyset)), 13.02/13.21 emptyset)), 13.02/13.21 powerset( 13.02/13.21 powerset( 13.02/13.21 binunion( 13.02/13.21 X416,X417)))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X420, 13.02/13.21 X421,X422]: 13.02/13.21 (in( 13.02/13.21 X422,X420) => 13.02/13.21 (![X423]: 13.02/13.21 (in( 13.02/13.21 X423,X421) => 13.02/13.21 in( 13.02/13.21 kpair( 13.02/13.21 X422,X423), 13.02/13.21 powerset( 13.02/13.21 powerset( 13.02/13.21 binunion( 13.02/13.21 X420,X421)))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X424, 13.02/13.21 X425,X426]: 13.02/13.21 (in( 13.02/13.21 X426,X424) => 13.02/13.21 (![X427]: 13.02/13.21 (in( 13.02/13.21 X427,X425) => 13.02/13.21 in( 13.02/13.21 kpair( 13.02/13.21 X426,X427), 13.02/13.21 cartprod( 13.02/13.21 X424,X425)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X428, 13.02/13.21 X429,X430]: 13.02/13.21 (in( 13.02/13.21 X430, 13.02/13.21 cartprod( 13.02/13.21 X428,X429)) => 13.02/13.21 (?[X431]: 13.02/13.21 (( 13.02/13.21 ?[X432]: 13.02/13.21 (( 13.02/13.21 X430 = 13.02/13.21 kpair( 13.02/13.21 X431,X432)) & 13.02/13.21 in( 13.02/13.21 X432,X429))) & 13.02/13.21 in( 13.02/13.21 X431,X428))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X433, 13.02/13.21 X434,X435]: 13.02/13.21 (in( 13.02/13.21 X435, 13.02/13.21 cartprod( 13.02/13.21 X433,X434)) => 13.02/13.21 iskpair( 13.02/13.21 X435))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X436, 13.02/13.21 X437]: 13.02/13.21 (in( 13.02/13.21 X437, 13.02/13.21 setunion( 13.02/13.21 X436)) => 13.02/13.21 (?[X438]: 13.02/13.21 (in( 13.02/13.21 X437,X438) & 13.02/13.21 in( 13.02/13.21 X438,X436))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X439]: 13.02/13.21 subset( 13.02/13.21 setunion( 13.02/13.21 setadjoin( 13.02/13.21 X439, 13.02/13.21 emptyset)), 13.02/13.21 X439)) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X440]: 13.02/13.21 subset( 13.02/13.21 X440, 13.02/13.21 setunion( 13.02/13.21 setadjoin( 13.02/13.21 X440, 13.02/13.21 emptyset)))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X441]: 13.02/13.21 (setunion( 13.02/13.21 setadjoin( 13.02/13.21 X441, 13.02/13.21 emptyset)) = 13.02/13.21 X441)) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X442, 13.02/13.21 X443:( 13.02/13.21 $i > $o)]: 13.02/13.21 (( 13.02/13.21 ![X444]: 13.02/13.21 (in( 13.02/13.21 X444,X442) => 13.02/13.21 (![X445]: 13.02/13.21 (in( 13.02/13.21 X445,X442) => 13.02/13.21 (X443( 13.02/13.21 X444) => 13.02/13.21 (X443( 13.02/13.21 X445) => 13.02/13.21 (X444 = 13.02/13.21 X445))))))) => 13.02/13.21 (( 13.02/13.21 ?[X446]: 13.02/13.21 (X443( 13.02/13.21 X446) & 13.02/13.21 in( 13.02/13.21 X446,X442))) => 13.02/13.21 singleton( 13.02/13.21 dsetconstr( 13.02/13.21 X442, 13.02/13.21 ^[V_15]: 13.02/13.21 X443( 13.02/13.21 V_15)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X447, 13.02/13.21 X448:( 13.02/13.21 $i > $o)]: 13.02/13.21 (ex1( 13.02/13.21 X447, 13.02/13.21 ^[V_16]: 13.02/13.21 X448( 13.02/13.21 V_16)) => 13.02/13.21 (?[X449]: 13.02/13.21 (X448( 13.02/13.21 X449) & 13.02/13.21 in( 13.02/13.21 X449,X447))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X450, 13.02/13.21 X451:( 13.02/13.21 $i > $o), 13.02/13.21 X452]: 13.02/13.21 (in( 13.02/13.21 X452,X450) => 13.02/13.21 (X451( 13.02/13.21 X452) => 13.02/13.21 (( 13.02/13.21 ![X453]: 13.02/13.21 (in( 13.02/13.21 X453,X450) => 13.02/13.21 (X451( 13.02/13.21 X453) => 13.02/13.21 (X453 = 13.02/13.21 X452)))) => 13.02/13.21 ex1( 13.02/13.21 X450, 13.02/13.21 ^[V_17]: 13.02/13.21 X451( 13.02/13.21 V_17)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X454, 13.02/13.21 X455:( 13.02/13.21 $i > $o)]: 13.02/13.21 (( 13.02/13.21 ![X456]: 13.02/13.21 (in( 13.02/13.21 X456,X454) => 13.02/13.21 (![X457]: 13.02/13.21 (in( 13.02/13.21 X457,X454) => 13.02/13.21 (X455( 13.02/13.21 X456) => 13.02/13.21 (X455( 13.02/13.21 X457) => 13.02/13.21 (X456 = 13.02/13.21 X457))))))) => 13.02/13.21 (( 13.02/13.21 ?[X458]: 13.02/13.21 (X455( 13.02/13.21 X458) & 13.02/13.21 in( 13.02/13.21 X458,X454))) => 13.02/13.21 ex1( 13.02/13.21 X454, 13.02/13.21 ^[V_18]: 13.02/13.21 X455( 13.02/13.21 V_18))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X459, 13.02/13.21 X460]: 13.02/13.21 (( 13.02/13.21 setadjoin( 13.02/13.21 X459, 13.02/13.21 emptyset) = 13.02/13.21 setadjoin( 13.02/13.21 X460, 13.02/13.21 emptyset)) => 13.02/13.21 (X459 = 13.02/13.21 X460))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X461, 13.02/13.21 X462,X463]: 13.02/13.21 (in( 13.02/13.21 setadjoin( 13.02/13.21 X463, 13.02/13.21 emptyset), 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X461, 13.02/13.21 emptyset), 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X461, 13.02/13.21 setadjoin( 13.02/13.21 X462, 13.02/13.21 emptyset)), 13.02/13.21 emptyset))) => 13.02/13.21 (X461 = 13.02/13.21 X463))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X464]: 13.02/13.21 (iskpair( 13.02/13.21 X464) => 13.02/13.21 singleton( 13.02/13.21 dsetconstr( 13.02/13.21 setunion( 13.02/13.21 X464), 13.02/13.21 ^[V_19]: 13.02/13.21 in( 13.02/13.21 setadjoin( 13.02/13.21 V_19, 13.02/13.21 emptyset), 13.02/13.21 X464))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X465]: 13.02/13.21 (singleton( 13.02/13.21 X465) => 13.02/13.21 in( 13.02/13.21 setunion( 13.02/13.21 X465), 13.02/13.21 X465))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X466, 13.02/13.21 X467]: 13.02/13.21 (kfst( 13.02/13.21 kpair( 13.02/13.21 X466,X467)) = 13.02/13.21 X466)) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X468, 13.02/13.21 X469,X470]: 13.02/13.21 (in( 13.02/13.21 X470, 13.02/13.21 cartprod( 13.02/13.21 X468,X469)) => 13.02/13.21 in( 13.02/13.21 kfst( 13.02/13.21 X470), 13.02/13.21 X468))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X471, 13.02/13.21 X472, 13.02/13.21 X473,X474]: 13.02/13.21 (( 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X471, 13.02/13.21 emptyset), 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X471, 13.02/13.21 setadjoin( 13.02/13.21 X472, 13.02/13.21 emptyset)), 13.02/13.21 emptyset)) = 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X473, 13.02/13.21 emptyset), 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X473, 13.02/13.21 setadjoin( 13.02/13.21 X474, 13.02/13.21 emptyset)), 13.02/13.21 emptyset))) => 13.02/13.21 (X471 = 13.02/13.21 X473))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X475, 13.02/13.21 X476, 13.02/13.21 X477,X478]: 13.02/13.21 (( 13.02/13.21 kpair( 13.02/13.21 X475,X476) = 13.02/13.21 kpair( 13.02/13.21 X477,X478)) => 13.02/13.21 (X475 = 13.02/13.21 X477))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X479, 13.02/13.21 X480]: 13.02/13.21 (( 13.02/13.21 X479 = 13.02/13.21 X480) => 13.02/13.21 (setadjoin( 13.02/13.21 X479, 13.02/13.21 setadjoin( 13.02/13.21 X480, 13.02/13.21 emptyset)) = 13.02/13.21 setadjoin( 13.02/13.21 X479, 13.02/13.21 emptyset)))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X481, 13.02/13.21 X482]: 13.02/13.21 (( 13.02/13.21 X481 = 13.02/13.21 X482) => 13.02/13.21 (setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X481, 13.02/13.21 emptyset), 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X481, 13.02/13.21 setadjoin( 13.02/13.21 X482, 13.02/13.21 emptyset)), 13.02/13.21 emptyset)) = 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X481, 13.02/13.21 emptyset), 13.02/13.21 emptyset)))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X483, 13.02/13.21 X484, 13.02/13.21 X485,X486]: 13.02/13.21 (( 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X483, 13.02/13.21 emptyset), 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X483, 13.02/13.21 setadjoin( 13.02/13.21 X484, 13.02/13.21 emptyset)), 13.02/13.21 emptyset)) = 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X485, 13.02/13.21 emptyset), 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X485, 13.02/13.21 setadjoin( 13.02/13.21 X486, 13.02/13.21 emptyset)), 13.02/13.21 emptyset))) => 13.02/13.21 (( 13.02/13.21 X485 = 13.02/13.21 X486) => 13.02/13.21 (X484 = 13.02/13.21 X486)))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X487, 13.02/13.21 X488,X489]: 13.02/13.21 (( 13.02/13.21 setadjoin( 13.02/13.21 X487, 13.02/13.21 setadjoin( 13.02/13.21 X488, 13.02/13.21 emptyset)) = 13.02/13.21 setadjoin( 13.02/13.21 X489, 13.02/13.21 emptyset)) => 13.02/13.21 (X487 = 13.02/13.21 X488))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X490, 13.02/13.21 X491, 13.02/13.21 X492,X493]: 13.02/13.21 (( 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X490, 13.02/13.21 emptyset), 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X490, 13.02/13.21 setadjoin( 13.02/13.21 X491, 13.02/13.21 emptyset)), 13.02/13.21 emptyset)) = 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X492, 13.02/13.21 emptyset), 13.02/13.21 setadjoin( 13.02/13.21 setadjoin( 13.02/13.21 X492, 13.02/13.21 setadjoin( 13.02/13.21 X493, 13.02/13.21 emptyset)), 13.02/13.21 emptyset))) => 13.02/13.21 (X491 = 13.02/13.21 X493))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X494, 13.02/13.21 X495, 13.02/13.21 X496,X497]: 13.02/13.21 (( 13.02/13.21 kpair( 13.02/13.21 X494,X495) = 13.02/13.21 kpair( 13.02/13.21 X496,X497)) => 13.02/13.21 (X495 = 13.02/13.21 X497))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X498]: 13.02/13.21 (iskpair( 13.02/13.21 X498) => 13.02/13.21 singleton( 13.02/13.21 dsetconstr( 13.02/13.21 setunion( 13.02/13.21 X498), 13.02/13.21 ^[V_20]: 13.02/13.21 (X498 = 13.02/13.21 kpair( 13.02/13.21 kfst( 13.02/13.21 X498), 13.02/13.21 V_20)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X499, 13.02/13.21 X500]: 13.02/13.21 (ksnd( 13.02/13.21 kpair( 13.02/13.21 X499,X500)) = 13.02/13.21 X500)) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X501]: 13.02/13.21 (iskpair( 13.02/13.21 X501) => 13.02/13.21 (kpair( 13.02/13.21 kfst( 13.02/13.21 X501), 13.02/13.21 ksnd( 13.02/13.21 X501)) = 13.02/13.21 X501))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X502, 13.02/13.21 X503,X504]: 13.02/13.21 (in( 13.02/13.21 X504, 13.02/13.21 cartprod( 13.02/13.21 X502,X503)) => 13.02/13.21 in( 13.02/13.21 ksnd( 13.02/13.21 X504), 13.02/13.21 X503))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X505, 13.02/13.21 X506, 13.02/13.21 X507,X508]: 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X507,X508), 13.02/13.21 cartprod( 13.02/13.21 X505,X506)) => 13.02/13.21 in( 13.02/13.21 X507,X505))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X509, 13.02/13.21 X510, 13.02/13.21 X511,X512]: 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X511,X512), 13.02/13.21 cartprod( 13.02/13.21 X509,X510)) => 13.02/13.21 in( 13.02/13.21 X512,X510))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X513, 13.02/13.21 X514,X515]: 13.02/13.21 (in( 13.02/13.21 X515,X513) => 13.02/13.21 (![X516]: 13.02/13.21 (in( 13.02/13.21 X516,X514) => 13.02/13.21 (kpair( 13.02/13.21 X515,X516) = 13.02/13.21 kpair( 13.02/13.21 X515,X516)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X517, 13.02/13.21 X518,X519]: 13.02/13.21 (in( 13.02/13.21 X519,X517) => 13.02/13.21 (![X520]: 13.02/13.21 (in( 13.02/13.21 X520,X518) => 13.02/13.21 (kfst( 13.02/13.21 kpair( 13.02/13.21 X519,X520)) = 13.02/13.21 X519))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X521, 13.02/13.21 X522,X523]: 13.02/13.21 (in( 13.02/13.21 X523,X521) => 13.02/13.21 (![X524]: 13.02/13.21 (in( 13.02/13.21 X524,X522) => 13.02/13.21 (ksnd( 13.02/13.21 kpair( 13.02/13.21 X523,X524)) = 13.02/13.21 X524))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X525, 13.02/13.21 X526,X527]: 13.02/13.21 (in( 13.02/13.21 X527, 13.02/13.21 cartprod( 13.02/13.21 X525,X526)) => 13.02/13.21 (kpair( 13.02/13.21 kfst( 13.02/13.21 X527), 13.02/13.21 ksnd( 13.02/13.21 X527)) = 13.02/13.21 X527))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X528, 13.02/13.21 X529, 13.02/13.21 X530:( 13.02/13.21 ($i * $i) > 13.02/13.21 $o),X531]: 13.02/13.21 (in( 13.02/13.21 X531,X528) => 13.02/13.21 (![X532]: 13.02/13.21 (in( 13.02/13.21 X532,X529) => 13.02/13.21 (X530( 13.02/13.21 X531,X532) => 13.02/13.21 in( 13.02/13.21 kpair( 13.02/13.21 X531,X532), 13.02/13.21 dpsetconstr( 13.02/13.21 X528, 13.02/13.21 X529, 13.02/13.21 ^[V_21, 13.02/13.21 V_22]: 13.02/13.21 X530( 13.02/13.21 V_21,V_22)))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X533, 13.02/13.21 X534, 13.02/13.21 X535:( 13.02/13.21 ($i * $i) > 13.02/13.21 $o)]: 13.02/13.21 subset( 13.02/13.21 dpsetconstr( 13.02/13.21 X533, 13.02/13.21 X534, 13.02/13.21 ^[V_23, 13.02/13.21 V_24]: 13.02/13.21 X535( 13.02/13.21 V_23,V_24)), 13.02/13.21 cartprod( 13.02/13.21 X533,X534))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X536, 13.02/13.21 X537, 13.02/13.21 X538:( 13.02/13.21 ($i * $i) > 13.02/13.21 $o)]: 13.02/13.21 subset( 13.02/13.21 dpsetconstr( 13.02/13.21 X536, 13.02/13.21 X537, 13.02/13.21 ^[V_25, 13.02/13.21 V_26]: 13.02/13.21 X538( 13.02/13.21 V_25,V_26)), 13.02/13.21 cartprod( 13.02/13.21 X536,X537))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X539, 13.02/13.21 X540, 13.02/13.21 X541:( 13.02/13.21 ($i * $i) > 13.02/13.21 $o),X542]: 13.02/13.21 (in( 13.02/13.21 X542,X539) => 13.02/13.21 (![X543]: 13.02/13.21 (in( 13.02/13.21 X543,X540) => 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X542,X543), 13.02/13.21 dpsetconstr( 13.02/13.21 X539, 13.02/13.21 X540, 13.02/13.21 ^[V_27, 13.02/13.21 V_28]: 13.02/13.21 X541( 13.02/13.21 V_27,V_28))) => 13.02/13.21 X541( 13.02/13.21 X542,X543)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X544, 13.02/13.21 X545, 13.02/13.21 X546:( 13.02/13.21 ($i * $i) > 13.02/13.21 $o),X547, 13.02/13.21 X548]: 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X547,X548), 13.02/13.21 dpsetconstr( 13.02/13.21 X544, 13.02/13.21 X545, 13.02/13.21 ^[V_29, 13.02/13.21 V_30]: 13.02/13.21 X546( 13.02/13.21 V_29,V_30))) => 13.02/13.21 in( 13.02/13.21 X547,X544))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X549, 13.02/13.21 X550, 13.02/13.21 X551:( 13.02/13.21 ($i * $i) > 13.02/13.21 $o),X552, 13.02/13.21 X553]: 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X552,X553), 13.02/13.21 dpsetconstr( 13.02/13.21 X549, 13.02/13.21 X550, 13.02/13.21 ^[V_31, 13.02/13.21 V_32]: 13.02/13.21 X551( 13.02/13.21 V_31,V_32))) => 13.02/13.21 in( 13.02/13.21 X553,X550))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X554, 13.02/13.21 X555, 13.02/13.21 X556:( 13.02/13.21 ($i * $i) > 13.02/13.21 $o),X557, 13.02/13.21 X558]: 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X557,X558), 13.02/13.21 dpsetconstr( 13.02/13.21 X554, 13.02/13.21 X555, 13.02/13.21 ^[V_33, 13.02/13.21 V_34]: 13.02/13.21 X556( 13.02/13.21 V_33,V_34))) => 13.02/13.21 X556( 13.02/13.21 X557,X558))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X559, 13.02/13.21 X560,X561]: 13.02/13.21 (func( 13.02/13.21 X559, 13.02/13.21 X560,X561) => 13.02/13.21 (![X562]: 13.02/13.21 (in( 13.02/13.21 X562,X559) => 13.02/13.21 singleton( 13.02/13.21 dsetconstr( 13.02/13.21 X560, 13.02/13.21 ^[V_35]: 13.02/13.21 in( 13.02/13.21 kpair( 13.02/13.21 X562,V_35), 13.02/13.21 X561))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X563, 13.02/13.21 X564,X565]: 13.02/13.21 (func( 13.02/13.21 X563, 13.02/13.21 X564,X565) => 13.02/13.21 (![X566]: 13.02/13.21 (in( 13.02/13.21 X566,X563) => 13.02/13.21 in( 13.02/13.21 setunion( 13.02/13.21 dsetconstr( 13.02/13.21 X564, 13.02/13.21 ^[V_36]: 13.02/13.21 in( 13.02/13.21 kpair( 13.02/13.21 X566,V_36), 13.02/13.21 X565))), 13.02/13.21 X564))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X567, 13.02/13.21 X568,X569]: 13.02/13.21 (func( 13.02/13.21 X567, 13.02/13.21 X568,X569) => 13.02/13.21 (![X570]: 13.02/13.21 (in( 13.02/13.21 X570,X567) => 13.02/13.21 in( 13.02/13.21 ap( 13.02/13.21 X567, 13.02/13.21 X568, 13.02/13.21 X569,X570), 13.02/13.21 X568))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X571, 13.02/13.21 X572,X573]: 13.02/13.21 (in( 13.02/13.21 X573, 13.02/13.21 funcSet( 13.02/13.21 X571,X572)) => 13.02/13.21 func( 13.02/13.21 X571, 13.02/13.21 X572,X573))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X574, 13.02/13.21 X575,X576]: 13.02/13.21 (in( 13.02/13.21 X576, 13.02/13.21 funcSet( 13.02/13.21 X574,X575)) => 13.02/13.21 (![X577]: 13.02/13.21 (in( 13.02/13.21 X577,X574) => 13.02/13.21 in( 13.02/13.21 ap( 13.02/13.21 X574, 13.02/13.21 X575, 13.02/13.21 X576,X577), 13.02/13.21 X575))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X578, 13.02/13.21 X579,X580]: 13.02/13.21 (func( 13.02/13.21 X578, 13.02/13.21 X579,X580) => 13.02/13.21 in( 13.02/13.21 X580, 13.02/13.21 funcSet( 13.02/13.21 X578,X579)))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X581, 13.02/13.21 X582, 13.02/13.21 X583:( 13.02/13.21 $i > $i)]: 13.02/13.21 (( 13.02/13.21 ![X584]: 13.02/13.21 (in( 13.02/13.21 X584,X581) => 13.02/13.21 in( 13.02/13.21 X583( 13.02/13.21 X584), 13.02/13.21 X582))) => 13.02/13.21 func( 13.02/13.21 X581, 13.02/13.21 X582, 13.02/13.21 dpsetconstr( 13.02/13.21 X581, 13.02/13.21 X582, 13.02/13.21 ^[V_37, 13.02/13.21 V_38]: 13.02/13.21 (X583( 13.02/13.21 V_37) = 13.02/13.21 V_38))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X585, 13.02/13.21 X586, 13.02/13.21 X587:( 13.02/13.21 $i > $i)]: 13.02/13.21 (( 13.02/13.21 ![X588]: 13.02/13.21 (in( 13.02/13.21 X588,X585) => 13.02/13.21 in( 13.02/13.21 X587( 13.02/13.21 X588), 13.02/13.21 X586))) => 13.02/13.21 func( 13.02/13.21 X585, 13.02/13.21 X586, 13.02/13.21 lam( 13.02/13.21 X585, 13.02/13.21 X586, 13.02/13.21 ^[V_39]: 13.02/13.21 X587( 13.02/13.21 V_39))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X589, 13.02/13.21 X590, 13.02/13.21 X591:( 13.02/13.21 $i > $i)]: 13.02/13.21 (( 13.02/13.21 ![X592]: 13.02/13.21 (in( 13.02/13.21 X592,X589) => 13.02/13.21 in( 13.02/13.21 X591( 13.02/13.21 X592), 13.02/13.21 X590))) => 13.02/13.21 in( 13.02/13.21 lam( 13.02/13.21 X589, 13.02/13.21 X590, 13.02/13.21 ^[V_40]: 13.02/13.21 X591( 13.02/13.21 V_40)), 13.02/13.21 funcSet( 13.02/13.21 X589,X590)))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X593, 13.02/13.21 X594,X595]: 13.02/13.21 (subset( 13.02/13.21 X595, 13.02/13.21 cartprod( 13.02/13.21 X593,X594)) => 13.02/13.21 (![X596:( 13.02/13.21 $i > $o)]: 13.02/13.21 (( 13.02/13.21 ![X597]: 13.02/13.21 (in( 13.02/13.21 X597,X593) => 13.02/13.21 (![X598]: 13.02/13.21 (in( 13.02/13.21 X598,X594) => 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X597,X598), 13.02/13.21 X595) => 13.02/13.21 X596( 13.02/13.21 kpair( 13.02/13.21 X597,X598))))))) => 13.02/13.21 (![X599]: 13.02/13.21 (in( 13.02/13.21 X599,X595) => 13.02/13.21 X596( 13.02/13.21 X599))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X600, 13.02/13.21 X601,X602]: 13.02/13.21 (subset( 13.02/13.21 X602, 13.02/13.21 cartprod( 13.02/13.21 X600,X601)) => 13.02/13.21 (![X603:( 13.02/13.21 $i > $o)]: 13.02/13.21 (( 13.02/13.21 ![X604]: 13.02/13.21 (in( 13.02/13.21 X604,X600) => 13.02/13.21 (![X605]: 13.02/13.21 (in( 13.02/13.21 X605,X601) => 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X604,X605), 13.02/13.21 X602) => 13.02/13.21 X603( 13.02/13.21 kpair( 13.02/13.21 X604,X605))))))) => 13.02/13.21 (![X606]: 13.02/13.21 (in( 13.02/13.21 X606,X602) => 13.02/13.21 X603( 13.02/13.21 X606))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X607, 13.02/13.21 X608:( 13.02/13.21 $i > $o)]: 13.02/13.21 (ex1( 13.02/13.21 X607, 13.02/13.21 ^[V_41]: 13.02/13.21 X608( 13.02/13.21 V_41)) => 13.02/13.21 (![X609]: 13.02/13.21 (in( 13.02/13.21 X609,X607) => 13.02/13.21 (![X610]: 13.02/13.21 (in( 13.02/13.21 X610,X607) => 13.02/13.21 (X608( 13.02/13.21 X609) => 13.02/13.21 (X608( 13.02/13.21 X610) => 13.02/13.21 (X609 = 13.02/13.21 X610))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X611, 13.02/13.21 X612,X613]: 13.02/13.21 (func( 13.02/13.21 X611, 13.02/13.21 X612,X613) => 13.02/13.21 (![X614]: 13.02/13.21 (in( 13.02/13.21 X614,X611) => 13.02/13.21 in( 13.02/13.21 kpair( 13.02/13.21 X614, 13.02/13.21 ap( 13.02/13.21 X611, 13.02/13.21 X612, 13.02/13.21 X613,X614)), 13.02/13.21 X613))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X615, 13.02/13.21 X616,X617]: 13.02/13.21 (in( 13.02/13.21 X617, 13.02/13.21 funcSet( 13.02/13.21 X615,X616)) => 13.02/13.21 (![X618]: 13.02/13.21 (in( 13.02/13.21 X618,X615) => 13.02/13.21 in( 13.02/13.21 kpair( 13.02/13.21 X618, 13.02/13.21 ap( 13.02/13.21 X615, 13.02/13.21 X616, 13.02/13.21 X617,X618)), 13.02/13.21 X617))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X619, 13.02/13.21 X620,X621]: 13.02/13.21 (func( 13.02/13.21 X619, 13.02/13.21 X620,X621) => 13.02/13.21 (![X622]: 13.02/13.21 (in( 13.02/13.21 X622,X619) => 13.02/13.21 (![X623]: 13.02/13.21 (in( 13.02/13.21 X623,X620) => 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X622,X623), 13.02/13.21 X621) => 13.02/13.21 (ap( 13.02/13.21 X619, 13.02/13.21 X620, 13.02/13.21 X621,X622) = 13.02/13.21 X623)))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X624, 13.02/13.21 X625,X626]: 13.02/13.21 (func( 13.02/13.21 X624, 13.02/13.21 X625,X626) => 13.02/13.21 (![X627]: 13.02/13.21 (func( 13.02/13.21 X624, 13.02/13.21 X625,X627) => 13.02/13.21 (( 13.02/13.21 ![X628]: 13.02/13.21 (in( 13.02/13.21 X628,X624) => 13.02/13.21 (ap( 13.02/13.21 X624, 13.02/13.21 X625, 13.02/13.21 X626,X628) = 13.02/13.21 ap( 13.02/13.21 X624, 13.02/13.21 X625, 13.02/13.21 X627,X628)))) => 13.02/13.21 (![X629]: 13.02/13.21 (in( 13.02/13.21 X629,X624) => 13.02/13.21 (![X630]: 13.02/13.21 (in( 13.02/13.21 X630,X625) => 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X629,X630), 13.02/13.21 X627) => 13.02/13.21 in( 13.02/13.21 kpair( 13.02/13.21 X629,X630), 13.02/13.21 X626))))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X631, 13.02/13.21 X632,X633]: 13.02/13.21 (in( 13.02/13.21 X633, 13.02/13.21 funcSet( 13.02/13.21 X631,X632)) => 13.02/13.21 (![X634]: 13.02/13.21 (in( 13.02/13.21 X634,X631) => 13.02/13.21 (![X635]: 13.02/13.21 (in( 13.02/13.21 X635,X632) => 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X634,X635), 13.02/13.21 X633) => 13.02/13.21 (ap( 13.02/13.21 X631, 13.02/13.21 X632, 13.02/13.21 X633,X634) = 13.02/13.21 X635)))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X636, 13.02/13.21 X637,X638]: 13.02/13.21 (subset( 13.02/13.21 X638, 13.02/13.21 cartprod( 13.02/13.21 X636,X637)) => 13.02/13.21 (![X639]: 13.02/13.21 (subset( 13.02/13.21 X639, 13.02/13.21 cartprod( 13.02/13.21 X636,X637)) => 13.02/13.21 (( 13.02/13.21 ![X640]: 13.02/13.21 (in( 13.02/13.21 X640,X636) => 13.02/13.21 (![X641]: 13.02/13.21 (in( 13.02/13.21 X641,X637) => 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X640,X641), 13.02/13.21 X638) => 13.02/13.21 in( 13.02/13.21 kpair( 13.02/13.21 X640,X641), 13.02/13.21 X639)))))) => 13.02/13.21 subset( 13.02/13.21 X638,X639)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X642, 13.02/13.21 X643,X644]: 13.02/13.21 (subset( 13.02/13.21 X644, 13.02/13.21 cartprod( 13.02/13.21 X642,X643)) => 13.02/13.21 (![X645]: 13.02/13.21 (subset( 13.02/13.21 X645, 13.02/13.21 cartprod( 13.02/13.21 X642,X643)) => 13.02/13.21 (( 13.02/13.21 ![X646]: 13.02/13.21 (in( 13.02/13.21 X646,X642) => 13.02/13.21 (![X647]: 13.02/13.21 (in( 13.02/13.21 X647,X643) => 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X646,X647), 13.02/13.21 X644) => 13.02/13.21 in( 13.02/13.21 kpair( 13.02/13.21 X646,X647), 13.02/13.21 X645)))))) => 13.02/13.21 (( 13.02/13.21 ![X648]: 13.02/13.21 (in( 13.02/13.21 X648,X642) => 13.02/13.21 (![X649]: 13.02/13.21 (in( 13.02/13.21 X649,X643) => 13.02/13.21 (in( 13.02/13.21 kpair( 13.02/13.21 X648,X649), 13.02/13.21 X645) => 13.02/13.21 in( 13.02/13.21 kpair( 13.02/13.21 X648,X649), 13.02/13.21 X644)))))) => 13.02/13.21 (X644 = 13.02/13.21 X645))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X650, 13.02/13.21 X651,X652]: 13.02/13.21 (func( 13.02/13.21 X650, 13.02/13.21 X651,X652) => 13.02/13.21 (![X653]: 13.02/13.21 (func( 13.02/13.21 X650, 13.02/13.21 X651,X653) => 13.02/13.21 (( 13.02/13.21 ![X654]: 13.02/13.21 (in( 13.02/13.21 X654,X650) => 13.02/13.21 (ap( 13.02/13.21 X650, 13.02/13.21 X651, 13.02/13.21 X652,X654) = 13.02/13.21 ap( 13.02/13.21 X650, 13.02/13.21 X651, 13.02/13.21 X653,X654)))) => 13.02/13.21 (X652 = 13.02/13.21 X653)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X655, 13.02/13.21 X656,X657]: 13.02/13.21 (in( 13.02/13.21 X657, 13.02/13.21 funcSet( 13.02/13.21 X655,X656)) => 13.02/13.21 (![X658]: 13.02/13.21 (in( 13.02/13.21 X658, 13.02/13.21 funcSet( 13.02/13.21 X655,X656)) => 13.02/13.21 (( 13.02/13.21 ![X659]: 13.02/13.21 (in( 13.02/13.21 X659,X655) => 13.02/13.21 (ap( 13.02/13.21 X655, 13.02/13.21 X656, 13.02/13.21 X657,X659) = 13.02/13.21 ap( 13.02/13.21 X655, 13.02/13.21 X656, 13.02/13.21 X658,X659)))) => 13.02/13.21 (X657 = 13.02/13.21 X658)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X660, 13.02/13.21 X661,X662]: 13.02/13.21 (in( 13.02/13.21 X662, 13.02/13.21 funcSet( 13.02/13.21 X660,X661)) => 13.02/13.21 (![X663]: 13.02/13.21 (in( 13.02/13.21 X663,X660) => 13.02/13.21 (ap( 13.02/13.21 X660, 13.02/13.21 X661, 13.02/13.21 X662,X663) = 13.02/13.21 ap( 13.02/13.21 X660, 13.02/13.21 X661, 13.02/13.21 X662,X663)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X664, 13.02/13.21 X665,X666]: 13.02/13.21 (func( 13.02/13.21 X664, 13.02/13.21 X665,X666) => 13.02/13.21 (![X667]: 13.02/13.21 (in( 13.02/13.21 X667,X664) => 13.02/13.21 (ap( 13.02/13.21 X664, 13.02/13.21 X665, 13.02/13.21 X666,X667) = 13.02/13.21 ap( 13.02/13.21 X664, 13.02/13.21 X665, 13.02/13.21 X666,X667)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X668, 13.02/13.21 X669, 13.02/13.21 X670:( 13.02/13.21 $i > $i)]: 13.02/13.21 (( 13.02/13.21 ![X671]: 13.02/13.21 (in( 13.02/13.21 X671,X668) => 13.02/13.21 in( 13.02/13.21 X670( 13.02/13.21 X671), 13.02/13.21 X669))) => 13.02/13.21 (![X672]: 13.02/13.21 (in( 13.02/13.21 X672,X668) => 13.02/13.21 (ap( 13.02/13.21 X668, 13.02/13.21 X669, 13.02/13.21 lam( 13.02/13.21 X668, 13.02/13.21 X669, 13.02/13.21 ^[V_42]: 13.02/13.21 X670( 13.02/13.21 V_42)), 13.02/13.21 X672) = 13.02/13.21 X670( 13.02/13.21 X672)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X673, 13.02/13.21 X674,X675]: 13.02/13.21 (func( 13.02/13.21 X673, 13.02/13.21 X674,X675) => 13.02/13.21 (lam( 13.02/13.21 X673, 13.02/13.21 X674, 13.02/13.21 ^[V_43]: 13.02/13.21 ap( 13.02/13.21 X673, 13.02/13.21 X674, 13.02/13.21 X675,V_43)) = 13.02/13.21 X675))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X676, 13.02/13.21 X677, 13.02/13.21 X678:( 13.02/13.21 $i > $i)]: 13.02/13.21 (( 13.02/13.21 ![X679]: 13.02/13.21 (in( 13.02/13.21 X679,X676) => 13.02/13.21 in( 13.02/13.21 X678( 13.02/13.21 X679), 13.02/13.21 X677))) => 13.02/13.21 (lam( 13.02/13.21 X676, 13.02/13.21 X677, 13.02/13.21 ^[V_44]: 13.02/13.21 X678( 13.02/13.21 V_44)) = 13.02/13.21 lam( 13.02/13.21 X676, 13.02/13.21 X677, 13.02/13.21 ^[V_45]: 13.02/13.21 X678( 13.02/13.21 V_45))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X680, 13.02/13.21 X681, 13.02/13.21 X682:( 13.02/13.21 $i > $i)]: 13.02/13.21 (( 13.02/13.21 ![X683]: 13.02/13.21 (in( 13.02/13.21 X683,X680) => 13.02/13.21 in( 13.02/13.21 X682( 13.02/13.21 X683), 13.02/13.21 X681))) => 13.02/13.21 (![X684]: 13.02/13.21 (in( 13.02/13.21 X684,X680) => 13.02/13.21 (ap( 13.02/13.21 X680, 13.02/13.21 X681, 13.02/13.21 lam( 13.02/13.21 X680, 13.02/13.21 X681, 13.02/13.21 ^[V_46]: 13.02/13.21 X682( 13.02/13.21 V_46)), 13.02/13.21 X684) = 13.02/13.21 X682( 13.02/13.21 X684)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X685, 13.02/13.21 X686,X687]: 13.02/13.21 (in( 13.02/13.21 X687, 13.02/13.21 funcSet( 13.02/13.21 X685,X686)) => 13.02/13.21 (lam( 13.02/13.21 X685, 13.02/13.21 X686, 13.02/13.21 ^[V_47]: 13.02/13.21 ap( 13.02/13.21 X685, 13.02/13.21 X686, 13.02/13.21 X687,V_47)) = 13.02/13.21 X687))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X688, 13.02/13.21 X689:$o, 13.02/13.21 X690]: 13.02/13.21 (in( 13.02/13.21 X690,X688) => 13.02/13.21 (![X691]: 13.02/13.21 (in( 13.02/13.21 X691,X688) => 13.02/13.21 (( 13.02/13.21 ~X689) => 13.02/13.21 in( 13.02/13.21 X691, 13.02/13.21 dsetconstr( 13.02/13.21 X688, 13.02/13.21 ^[V_48]: 13.02/13.21 (( 13.02/13.21 X689 & 13.02/13.21 ( 13.02/13.21 V_48 = 13.02/13.21 X690)) | 13.02/13.21 (( 13.02/13.21 ~X689) & 13.02/13.21 (V_48 = 13.02/13.21 X691)))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X692, 13.02/13.21 X693:$o, 13.02/13.21 X694]: 13.02/13.21 (in( 13.02/13.21 X694,X692) => 13.02/13.21 (![X695]: 13.02/13.21 (in( 13.02/13.21 X695,X692) => 13.02/13.21 (( 13.02/13.21 ~X693) => 13.02/13.21 (dsetconstr( 13.02/13.21 X692, 13.02/13.21 ^[V_49]: 13.02/13.21 (( 13.02/13.21 X693 & 13.02/13.21 ( 13.02/13.21 V_49 = 13.02/13.21 X694)) | 13.02/13.21 (( 13.02/13.21 ~X693) & 13.02/13.21 (V_49 = 13.02/13.21 X695)))) = 13.02/13.21 setadjoin( 13.02/13.21 X695, 13.02/13.21 emptyset))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X696, 13.02/13.21 X697:$o, 13.02/13.21 X698]: 13.02/13.21 (in( 13.02/13.21 X698,X696) => 13.02/13.21 (![X699]: 13.02/13.21 (in( 13.02/13.21 X699,X696) => 13.02/13.21 (X697 => 13.02/13.21 in( 13.02/13.21 X698, 13.02/13.21 dsetconstr( 13.02/13.21 X696, 13.02/13.21 ^[V_50]: 13.02/13.21 (( 13.02/13.21 X697 & 13.02/13.21 ( 13.02/13.21 V_50 = 13.02/13.21 X698)) | 13.02/13.21 (( 13.02/13.21 ~X697) & 13.02/13.21 (V_50 = 13.02/13.21 X699)))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X700, 13.02/13.21 X701:$o, 13.02/13.21 X702]: 13.02/13.21 (in( 13.02/13.21 X702,X700) => 13.02/13.21 (![X703]: 13.02/13.21 (in( 13.02/13.21 X703,X700) => 13.02/13.21 (X701 => 13.02/13.21 (dsetconstr( 13.02/13.21 X700, 13.02/13.21 ^[V_51]: 13.02/13.21 (( 13.02/13.21 X701 & 13.02/13.21 ( 13.02/13.21 V_51 = 13.02/13.21 X702)) | 13.02/13.21 (( 13.02/13.21 ~X701) & 13.02/13.21 (V_51 = 13.02/13.21 X703)))) = 13.02/13.21 setadjoin( 13.02/13.21 X702, 13.02/13.21 emptyset))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X704, 13.02/13.21 X705:$o, 13.02/13.21 X706]: 13.02/13.21 (in( 13.02/13.21 X706,X704) => 13.02/13.21 (![X707]: 13.02/13.21 (in( 13.02/13.21 X707,X704) => 13.02/13.21 singleton( 13.02/13.21 dsetconstr( 13.02/13.21 X704, 13.02/13.21 ^[V_52]: 13.02/13.21 (( 13.02/13.21 X705 & 13.02/13.21 ( 13.02/13.21 V_52 = 13.02/13.21 X706)) | 13.02/13.21 (( 13.02/13.21 ~X705) & 13.02/13.21 (V_52 = 13.02/13.21 X707))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X708, 13.02/13.21 X709:$o, 13.02/13.21 X710]: 13.02/13.21 (in( 13.02/13.21 X710,X708) => 13.02/13.21 (![X711]: 13.02/13.21 (in( 13.02/13.21 X711,X708) => 13.02/13.21 in( 13.02/13.21 if( 13.02/13.21 X708, 13.02/13.21 X709, 13.02/13.21 X710,X711), 13.02/13.21 X708))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X712]: 13.02/13.21 (singleton( 13.02/13.21 X712) => 13.02/13.21 (![X713]: 13.02/13.21 (in( 13.02/13.21 X713,X712) => 13.02/13.21 (setunion( 13.02/13.21 X712) = 13.02/13.21 X713))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X714, 13.02/13.21 X715:$o, 13.02/13.21 X716]: 13.02/13.21 (in( 13.02/13.21 X716,X714) => 13.02/13.21 (![X717]: 13.02/13.21 (in( 13.02/13.21 X717,X714) => 13.02/13.21 (X715 => 13.02/13.21 (if( 13.02/13.21 X714, 13.02/13.21 X715, 13.02/13.21 X716,X717) = 13.02/13.21 X716)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X718, 13.02/13.21 X719:$o, 13.02/13.21 X720]: 13.02/13.21 (in( 13.02/13.21 X720,X718) => 13.02/13.21 (![X721]: 13.02/13.21 (in( 13.02/13.21 X721,X718) => 13.02/13.21 (( 13.02/13.21 ~X719) => 13.02/13.21 (if( 13.02/13.21 X718, 13.02/13.21 X719, 13.02/13.21 X720,X721) = 13.02/13.21 X721)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X722, 13.02/13.21 X723:$o, 13.02/13.21 X724]: 13.02/13.21 (in( 13.02/13.21 X724,X722) => 13.02/13.21 (![X725]: 13.02/13.21 (in( 13.02/13.21 X725,X722) => 13.02/13.21 in( 13.02/13.21 if( 13.02/13.21 X722, 13.02/13.21 X723, 13.02/13.21 X724,X725), 13.02/13.21 setadjoin( 13.02/13.21 X724, 13.02/13.21 setadjoin( 13.02/13.21 X725, 13.02/13.21 emptyset))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X726, 13.02/13.21 X727]: 13.02/13.21 (in( 13.02/13.21 X727, 13.02/13.21 powerset( 13.02/13.21 X726)) => 13.02/13.21 (![X728]: 13.02/13.21 (in( 13.02/13.21 X728, 13.02/13.21 powerset( 13.02/13.21 X726)) => 13.02/13.21 in( 13.02/13.21 binintersect( 13.02/13.21 X727,X728), 13.02/13.21 powerset( 13.02/13.21 X726)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X729, 13.02/13.21 X730]: 13.02/13.21 (in( 13.02/13.21 X730, 13.02/13.21 powerset( 13.02/13.21 X729)) => 13.02/13.21 (![X731]: 13.02/13.21 (in( 13.02/13.21 X731, 13.02/13.21 powerset( 13.02/13.21 X729)) => 13.02/13.21 in( 13.02/13.21 binunion( 13.02/13.21 X730,X731), 13.02/13.21 powerset( 13.02/13.21 X729)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X732, 13.02/13.21 X733]: 13.02/13.21 (in( 13.02/13.21 X733, 13.02/13.21 powerset( 13.02/13.21 X732)) => 13.02/13.21 in( 13.02/13.21 powerset( 13.02/13.21 X733), 13.02/13.21 powerset( 13.02/13.21 powerset( 13.02/13.21 X732))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X734, 13.02/13.21 X735]: 13.02/13.21 (in( 13.02/13.21 X735, 13.02/13.21 powerset( 13.02/13.21 X734)) => 13.02/13.21 (![X736]: 13.02/13.21 (in( 13.02/13.21 X736, 13.02/13.21 powerset( 13.02/13.21 X734)) => 13.02/13.21 in( 13.02/13.21 setminus( 13.02/13.21 X735,X736), 13.02/13.21 powerset( 13.02/13.21 X734)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X737, 13.02/13.21 X738]: 13.02/13.21 (in( 13.02/13.21 X738, 13.02/13.21 powerset( 13.02/13.21 X737)) => 13.02/13.21 in( 13.02/13.21 setminus( 13.02/13.21 X737,X738), 13.02/13.21 powerset( 13.02/13.21 X737)))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X739, 13.02/13.21 X740]: 13.02/13.21 (in( 13.02/13.21 X740, 13.02/13.21 powerset( 13.02/13.21 X739)) => 13.02/13.21 (![X741]: 13.02/13.21 (in( 13.02/13.21 X741, 13.02/13.21 powerset( 13.02/13.21 X739)) => 13.02/13.21 (( 13.02/13.21 ![X742]: 13.02/13.21 (in( 13.02/13.21 X742,X739) => 13.02/13.21 (in( 13.02/13.21 X742,X740) => 13.02/13.21 in( 13.02/13.21 X742,X741)))) => 13.02/13.21 (( 13.02/13.21 ![X743]: 13.02/13.21 (in( 13.02/13.21 X743,X739) => 13.02/13.21 (in( 13.02/13.21 X743,X741) => 13.02/13.21 in( 13.02/13.21 X743,X740)))) => 13.02/13.21 (X740 = 13.02/13.21 X741))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X744, 13.02/13.21 X745]: 13.02/13.21 (in( 13.02/13.21 X745, 13.02/13.21 powerset( 13.02/13.21 X744)) => 13.02/13.21 (![X746]: 13.02/13.21 (in( 13.02/13.21 X746, 13.02/13.21 powerset( 13.02/13.21 X744)) => 13.02/13.21 (( 13.02/13.21 ![X747]: 13.02/13.21 (in( 13.02/13.21 X747,X744) => 13.02/13.21 (in( 13.02/13.21 X747,X745) => 13.02/13.21 in( 13.02/13.21 X747,X746)))) => 13.02/13.21 subset( 13.02/13.21 X745,X746)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X748, 13.02/13.21 X749]: 13.02/13.21 (in( 13.02/13.21 X749, 13.02/13.21 powerset( 13.02/13.21 X748)) => 13.02/13.21 (![X750]: 13.02/13.21 (in( 13.02/13.21 X750, 13.02/13.21 powerset( 13.02/13.21 X748)) => 13.02/13.21 (( 13.02/13.21 ![X751]: 13.02/13.21 (in( 13.02/13.21 X751,X748) => 13.02/13.21 (in( 13.02/13.21 X751,X749) => 13.02/13.21 in( 13.02/13.21 X751,X750)))) => 13.02/13.21 in( 13.02/13.21 X749, 13.02/13.21 powerset( 13.02/13.21 X750))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X752, 13.02/13.21 X753]: 13.02/13.21 (in( 13.02/13.21 X753, 13.02/13.21 powerset( 13.02/13.21 X752)) => 13.02/13.21 (![X754]: 13.02/13.21 (in( 13.02/13.21 X754, 13.02/13.21 powerset( 13.02/13.21 X752)) => 13.02/13.21 (![X755]: 13.02/13.21 (in( 13.02/13.21 X755,X752) => 13.02/13.21 (in( 13.02/13.21 X753, 13.02/13.21 powerset( 13.02/13.21 X754)) => 13.02/13.21 (in( 13.02/13.21 X755,X753) => 13.02/13.21 in( 13.02/13.21 X755,X754))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X756, 13.02/13.21 X757]: 13.02/13.21 (in( 13.02/13.21 X757, 13.02/13.21 powerset( 13.02/13.21 X756)) => 13.02/13.21 (![X758]: 13.02/13.21 (in( 13.02/13.21 X758,X756) => 13.02/13.21 (in( 13.02/13.21 X758,X757) => 13.02/13.21 (~ 13.02/13.21 in( 13.02/13.21 X758, 13.02/13.21 setminus( 13.02/13.21 X756,X757)))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X759, 13.02/13.21 X760]: 13.02/13.21 (in( 13.02/13.21 X760, 13.02/13.21 powerset( 13.02/13.21 X759)) => 13.02/13.21 (![X761]: 13.02/13.21 (in( 13.02/13.21 X761,X759) => 13.02/13.21 (( 13.02/13.21 ~ 13.02/13.21 in( 13.02/13.21 X761, 13.02/13.21 setminus( 13.02/13.21 X759,X760))) => 13.02/13.21 in( 13.02/13.21 X761,X760)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X762, 13.02/13.21 X763]: 13.02/13.21 (in( 13.02/13.21 X763, 13.02/13.21 powerset( 13.02/13.21 X762)) => 13.02/13.21 (![X764]: 13.02/13.21 (in( 13.02/13.21 X764, 13.02/13.21 powerset( 13.02/13.21 X762)) => 13.02/13.21 (![X765]: 13.02/13.21 (in( 13.02/13.21 X765,X762) => 13.02/13.21 (( 13.02/13.21 ~ 13.02/13.21 in( 13.02/13.21 X765,X763)) => 13.02/13.21 (~ 13.02/13.21 in( 13.02/13.21 X765, 13.02/13.21 binintersect( 13.02/13.21 X763,X764)))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X766, 13.02/13.21 X767]: 13.02/13.21 (in( 13.02/13.21 X767, 13.02/13.21 powerset( 13.02/13.21 X766)) => 13.02/13.21 (![X768]: 13.02/13.21 (in( 13.02/13.21 X768, 13.02/13.21 powerset( 13.02/13.21 X766)) => 13.02/13.21 (![X769]: 13.02/13.21 (in( 13.02/13.21 X769,X766) => 13.02/13.21 (( 13.02/13.21 ~ 13.02/13.21 in( 13.02/13.21 X769,X768)) => 13.02/13.21 (~ 13.02/13.21 in( 13.02/13.21 X769, 13.02/13.21 binintersect( 13.02/13.21 X767,X768)))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X770, 13.02/13.21 X771]: 13.02/13.21 (in( 13.02/13.21 X771, 13.02/13.21 powerset( 13.02/13.21 X770)) => 13.02/13.21 (![X772]: 13.02/13.21 (in( 13.02/13.21 X772, 13.02/13.21 powerset( 13.02/13.21 X770)) => 13.02/13.21 (![X773]: 13.02/13.21 (in( 13.02/13.21 X773,X770) => 13.02/13.21 (subset( 13.02/13.21 X771, 13.02/13.21 setminus( 13.02/13.21 X770,X772)) => 13.02/13.21 (in( 13.02/13.21 X773,X772) => 13.02/13.21 (~ 13.02/13.21 in( 13.02/13.21 X773,X771)))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X774, 13.02/13.21 X775]: 13.02/13.21 (in( 13.02/13.21 X775, 13.02/13.21 powerset( 13.02/13.21 X774)) => 13.02/13.21 (![X776]: 13.02/13.21 (in( 13.02/13.21 X776, 13.02/13.21 powerset( 13.02/13.21 X774)) => 13.02/13.21 (![X777]: 13.02/13.21 (in( 13.02/13.21 X777,X774) => 13.02/13.21 (subset( 13.02/13.21 X775,X776) => 13.02/13.21 (( 13.02/13.21 ~ 13.02/13.21 in( 13.02/13.21 X777,X776)) => 13.02/13.21 (~ 13.02/13.21 in( 13.02/13.21 X777,X775)))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X778, 13.02/13.21 X779]: 13.02/13.21 (in( 13.02/13.21 X779, 13.02/13.21 powerset( 13.02/13.21 X778)) => 13.02/13.21 (![X780]: 13.02/13.21 (in( 13.02/13.21 X780, 13.02/13.21 powerset( 13.02/13.21 X778)) => 13.02/13.21 (subset( 13.02/13.21 X779,X780) => 13.02/13.21 subset( 13.02/13.21 setminus( 13.02/13.21 X778,X780), 13.02/13.21 setminus( 13.02/13.21 X778,X779))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X781, 13.02/13.21 X782]: 13.02/13.21 (in( 13.02/13.21 X782, 13.02/13.21 powerset( 13.02/13.21 X781)) => 13.02/13.21 (![X783]: 13.02/13.21 (in( 13.02/13.21 X783, 13.02/13.21 powerset( 13.02/13.21 X781)) => 13.02/13.21 (subset( 13.02/13.21 setminus( 13.02/13.21 X781,X783), 13.02/13.21 setminus( 13.02/13.21 X781,X782)) => 13.02/13.21 subset( 13.02/13.21 X782,X783)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X784, 13.02/13.21 X785]: 13.02/13.21 (in( 13.02/13.21 X785, 13.02/13.21 powerset( 13.02/13.21 X784)) => 13.02/13.21 (![X786]: 13.02/13.21 (in( 13.02/13.21 X786,X784) => 13.02/13.21 (in( 13.02/13.21 X786,X785) => 13.02/13.21 in( 13.02/13.21 X786, 13.02/13.21 setminus( 13.02/13.21 X784, 13.02/13.21 setminus( 13.02/13.21 X784,X785)))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X787, 13.02/13.21 X788]: 13.02/13.21 (in( 13.02/13.21 X788, 13.02/13.21 powerset( 13.02/13.21 X787)) => 13.02/13.21 (![X789]: 13.02/13.21 (in( 13.02/13.21 X789,X787) => 13.02/13.21 (in( 13.02/13.21 X789, 13.02/13.21 setminus( 13.02/13.21 X787, 13.02/13.21 setminus( 13.02/13.21 X787,X788))) => 13.02/13.21 in( 13.02/13.21 X789,X788)))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X790, 13.02/13.21 X791]: 13.02/13.21 (in( 13.02/13.21 X791, 13.02/13.21 powerset( 13.02/13.21 X790)) => 13.02/13.21 subset( 13.02/13.21 X791, 13.02/13.21 setminus( 13.02/13.21 X790, 13.02/13.21 setminus( 13.02/13.21 X790,X791))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X792, 13.02/13.21 X793]: 13.02/13.21 (in( 13.02/13.21 X793, 13.02/13.21 powerset( 13.02/13.21 X792)) => 13.02/13.21 subset( 13.02/13.21 setminus( 13.02/13.21 X792, 13.02/13.21 setminus( 13.02/13.21 X792,X793)), 13.02/13.21 X793))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X794, 13.02/13.21 X795]: 13.02/13.21 (in( 13.02/13.21 X795, 13.02/13.21 powerset( 13.02/13.21 X794)) => 13.02/13.21 (X795 = 13.02/13.21 setminus( 13.02/13.21 X794, 13.02/13.21 setminus( 13.02/13.21 X794,X795))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X796, 13.02/13.21 X797]: 13.02/13.21 (in( 13.02/13.21 X797, 13.02/13.21 powerset( 13.02/13.21 X796)) => 13.02/13.21 (![X798]: 13.02/13.21 (in( 13.02/13.21 X798, 13.02/13.21 powerset( 13.02/13.21 X796)) => 13.02/13.21 (![X799]: 13.02/13.21 (in( 13.02/13.21 X799,X796) => 13.02/13.21 (in( 13.02/13.21 X799, 13.02/13.21 setminus( 13.02/13.21 X796,X797)) => 13.02/13.21 (~ 13.02/13.21 in( 13.02/13.21 X799, 13.02/13.21 binintersect( 13.02/13.21 X797,X798)))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X800, 13.02/13.21 X801]: 13.02/13.21 (in( 13.02/13.21 X801, 13.02/13.21 powerset( 13.02/13.21 X800)) => 13.02/13.21 (![X802]: 13.02/13.21 (in( 13.02/13.21 X802, 13.02/13.21 powerset( 13.02/13.21 X800)) => 13.02/13.21 (![X803]: 13.02/13.21 (in( 13.02/13.21 X803,X800) => 13.02/13.21 (in( 13.02/13.21 X803, 13.02/13.21 setminus( 13.02/13.21 X800,X801)) => 13.02/13.21 in( 13.02/13.21 X803, 13.02/13.21 setminus( 13.02/13.21 X800, 13.02/13.21 binintersect( 13.02/13.21 X801,X802)))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X804, 13.02/13.21 X805]: 13.02/13.21 (in( 13.02/13.21 X805, 13.02/13.21 powerset( 13.02/13.21 X804)) => 13.02/13.21 (![X806]: 13.02/13.21 (in( 13.02/13.21 X806, 13.02/13.21 powerset( 13.02/13.21 X804)) => 13.02/13.21 subset( 13.02/13.21 setminus( 13.02/13.21 X804,X805), 13.02/13.21 setminus( 13.02/13.21 X804, 13.02/13.21 binintersect( 13.02/13.21 X805,X806))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X807, 13.02/13.21 X808]: 13.02/13.21 (in( 13.02/13.21 X808, 13.02/13.21 powerset( 13.02/13.21 X807)) => 13.02/13.21 (![X809]: 13.02/13.21 (in( 13.02/13.21 X809, 13.02/13.21 powerset( 13.02/13.21 X807)) => 13.02/13.21 in( 13.02/13.21 setminus( 13.02/13.21 X807,X808), 13.02/13.21 powerset( 13.02/13.21 setminus( 13.02/13.21 X807, 13.02/13.21 binintersect( 13.02/13.21 X808,X809)))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X810, 13.02/13.21 X811]: 13.02/13.21 (in( 13.02/13.21 X811, 13.02/13.21 powerset( 13.02/13.21 X810)) => 13.02/13.21 (![X812]: 13.02/13.21 (in( 13.02/13.21 X812, 13.02/13.21 powerset( 13.02/13.21 X810)) => 13.02/13.21 (subset( 13.02/13.21 X811, 13.02/13.21 setminus( 13.02/13.21 X810,X812)) => 13.02/13.21 (![X813]: 13.02/13.21 (in( 13.02/13.21 X813,X810) => 13.02/13.21 (in( 13.02/13.21 X813,X812) => 13.02/13.21 in( 13.02/13.21 X813, 13.02/13.21 setminus( 13.02/13.21 X810,X811)))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X814, 13.02/13.21 X815]: 13.02/13.21 (in( 13.02/13.21 X815, 13.02/13.21 powerset( 13.02/13.21 X814)) => 13.02/13.21 (![X816]: 13.02/13.21 (in( 13.02/13.21 X816, 13.02/13.21 powerset( 13.02/13.21 X814)) => 13.02/13.21 (subset( 13.02/13.21 X815, 13.02/13.21 setminus( 13.02/13.21 X814,X816)) => 13.02/13.21 subset( 13.02/13.21 X816, 13.02/13.21 setminus( 13.02/13.21 X814,X815))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X817, 13.02/13.21 X818]: 13.02/13.21 (in( 13.02/13.21 X818, 13.02/13.21 powerset( 13.02/13.21 X817)) => 13.02/13.21 (![X819]: 13.02/13.21 (in( 13.02/13.21 X819, 13.02/13.21 powerset( 13.02/13.21 X817)) => 13.02/13.21 (![X820]: 13.02/13.21 (in( 13.02/13.21 X820,X817) => 13.02/13.21 (( 13.02/13.21 ~ 13.02/13.21 in( 13.02/13.21 X820, 13.02/13.21 binunion( 13.02/13.21 X818,X819))) => 13.02/13.21 (~ 13.02/13.21 in( 13.02/13.21 X820,X818))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X821, 13.02/13.21 X822]: 13.02/13.21 (in( 13.02/13.21 X822, 13.02/13.21 powerset( 13.02/13.21 X821)) => 13.02/13.21 (![X823]: 13.02/13.21 (in( 13.02/13.21 X823, 13.02/13.21 powerset( 13.02/13.21 X821)) => 13.02/13.21 (![X824]: 13.02/13.21 (in( 13.02/13.21 X824,X821) => 13.02/13.21 (( 13.02/13.21 ~ 13.02/13.21 in( 13.02/13.21 X824, 13.02/13.21 binunion( 13.02/13.21 X822,X823))) => 13.02/13.21 (~ 13.02/13.21 in( 13.02/13.21 X824,X823))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X825, 13.02/13.21 X826]: 13.02/13.21 (in( 13.02/13.21 X826, 13.02/13.21 powerset( 13.02/13.21 X825)) => 13.02/13.21 (![X827]: 13.02/13.21 (in( 13.02/13.21 X827, 13.02/13.21 powerset( 13.02/13.21 X825)) => 13.02/13.21 (![X828]: 13.02/13.21 (in( 13.02/13.21 X828, 13.02/13.21 powerset( 13.02/13.21 X825)) => 13.02/13.21 (![X829]: 13.02/13.21 (in( 13.02/13.21 X829,X825) => 13.02/13.21 (in( 13.02/13.21 X829, 13.02/13.21 binintersect( 13.02/13.21 X826,X827)) => 13.02/13.21 in( 13.02/13.21 X829, 13.02/13.21 binunion( 13.02/13.21 X826,X828))))))))))) => 13.02/13.21 ( 13.02/13.21 ( 13.02/13.21 ![X830, 13.02/13.21 X831]: 13.02/13.21 (in( 13.02/13.21 X831, 13.02/13.21 powerset( 13.02/13.21 X830)) => 13.02/13.21 (![X832]: 13.02/13.21 (in( 13.02/13.21 X832, 13.02/13.21 powerset( 13.02/13.21 X830)) => 13.02/13.21 (![X833]: 13.02/13.21 (in( 13.02/13.21 X833, 13.02/13.21 powerset( 13.02/13.21 X830)) => 13.02/13.21 (![X834]: 13.02/13.21 (in( 13.02/13.21 X834,X830) => 13.02/13.21 (in( 13.02/13.22 X834, 13.02/13.22 binintersect( 13.02/13.22 X831,X832)) => 13.02/13.22 in( 13.02/13.22 X834, 13.02/13.22 binunion( 13.02/13.22 X832,X833))))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X835, 13.02/13.22 X836]: 13.02/13.22 (in( 13.02/13.22 X836, 13.02/13.22 powerset( 13.02/13.22 X835)) => 13.02/13.22 (![X837]: 13.02/13.22 (in( 13.02/13.22 X837, 13.02/13.22 powerset( 13.02/13.22 X835)) => 13.02/13.22 (![X838]: 13.02/13.22 (in( 13.02/13.22 X838, 13.02/13.22 powerset( 13.02/13.22 X835)) => 13.02/13.22 (![X839]: 13.02/13.22 (in( 13.02/13.22 X839,X835) => 13.02/13.22 (in( 13.02/13.22 X839, 13.02/13.22 binintersect( 13.02/13.22 X836,X837)) => 13.02/13.22 in( 13.02/13.22 X839, 13.02/13.22 binintersect( 13.02/13.22 binunion( 13.02/13.22 X836,X838), 13.02/13.22 binunion( 13.02/13.22 X837,X838)))))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X840, 13.02/13.22 X841]: 13.02/13.22 (in( 13.02/13.22 X841, 13.02/13.22 powerset( 13.02/13.22 X840)) => 13.02/13.22 (![X842]: 13.02/13.22 (in( 13.02/13.22 X842, 13.02/13.22 powerset( 13.02/13.22 X840)) => 13.02/13.22 (![X843]: 13.02/13.22 (in( 13.02/13.22 X843, 13.02/13.22 powerset( 13.02/13.22 X840)) => 13.02/13.22 in( 13.02/13.22 binintersect( 13.02/13.22 X841,X842), 13.02/13.22 powerset( 13.02/13.22 binintersect( 13.02/13.22 binunion( 13.02/13.22 X841,X843), 13.02/13.22 binunion( 13.02/13.22 X842,X843)))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X844, 13.02/13.22 X845]: 13.02/13.22 (in( 13.02/13.22 X845, 13.02/13.22 powerset( 13.02/13.22 X844)) => 13.02/13.22 (![X846]: 13.02/13.22 (in( 13.02/13.22 X846, 13.02/13.22 powerset( 13.02/13.22 X844)) => 13.02/13.22 (![X847]: 13.02/13.22 (in( 13.02/13.22 X847,X844) => 13.02/13.22 (in( 13.02/13.22 X847, 13.02/13.22 setminus( 13.02/13.22 X844, 13.02/13.22 binunion( 13.02/13.22 X845,X846))) => 13.02/13.22 (~ 13.02/13.22 in( 13.02/13.22 X847,X845))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X848, 13.02/13.22 X849]: 13.02/13.22 (in( 13.02/13.22 X849, 13.02/13.22 powerset( 13.02/13.22 X848)) => 13.02/13.22 (![X850]: 13.02/13.22 (in( 13.02/13.22 X850, 13.02/13.22 powerset( 13.02/13.22 X848)) => 13.02/13.22 (![X851]: 13.02/13.22 (in( 13.02/13.22 X851,X848) => 13.02/13.22 (in( 13.02/13.22 X851, 13.02/13.22 setminus( 13.02/13.22 X848, 13.02/13.22 binunion( 13.02/13.22 X849,X850))) => 13.02/13.22 in( 13.02/13.22 X851, 13.02/13.22 setminus( 13.02/13.22 X848,X849))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X852, 13.02/13.22 X853]: 13.02/13.22 (in( 13.02/13.22 X853, 13.02/13.22 powerset( 13.02/13.22 X852)) => 13.02/13.22 (![X854]: 13.02/13.22 (in( 13.02/13.22 X854, 13.02/13.22 powerset( 13.02/13.22 X852)) => 13.02/13.22 (![X855:$o, 13.02/13.22 X856]: 13.02/13.22 (in( 13.02/13.22 X856,X852) => 13.02/13.22 (in( 13.02/13.22 X856, 13.02/13.22 binunion( 13.02/13.22 X853,X854)) => 13.02/13.22 (( 13.02/13.22 in( 13.02/13.22 X856,X853) => 13.02/13.22 X855) => 13.02/13.22 (( 13.02/13.22 in( 13.02/13.22 X856,X854) => 13.02/13.22 X855) => 13.02/13.22 X855))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X857, 13.02/13.22 X858]: 13.02/13.22 (in( 13.02/13.22 X858, 13.02/13.22 powerset( 13.02/13.22 X857)) => 13.02/13.22 (![X859]: 13.02/13.22 (in( 13.02/13.22 X859, 13.02/13.22 powerset( 13.02/13.22 X857)) => 13.02/13.22 (![X860]: 13.02/13.22 (in( 13.02/13.22 X860,X857) => 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X860,X858)) => 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X860,X859)) => 13.02/13.22 (~ 13.02/13.22 in( 13.02/13.22 X860, 13.02/13.22 binunion( 13.02/13.22 X858,X859))))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X861, 13.02/13.22 X862]: 13.02/13.22 (in( 13.02/13.22 X862, 13.02/13.22 powerset( 13.02/13.22 X861)) => 13.02/13.22 (![X863]: 13.02/13.22 (in( 13.02/13.22 X863, 13.02/13.22 powerset( 13.02/13.22 X861)) => 13.02/13.22 (![X864]: 13.02/13.22 (in( 13.02/13.22 X864,X861) => 13.02/13.22 (in( 13.02/13.22 X864, 13.02/13.22 setminus( 13.02/13.22 X861, 13.02/13.22 binunion( 13.02/13.22 X862,X863))) => 13.02/13.22 in( 13.02/13.22 X864, 13.02/13.22 setminus( 13.02/13.22 X861,X862))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X865, 13.02/13.22 X866]: 13.02/13.22 (in( 13.02/13.22 X866, 13.02/13.22 powerset( 13.02/13.22 X865)) => 13.02/13.22 (![X867]: 13.02/13.22 (in( 13.02/13.22 X867, 13.02/13.22 powerset( 13.02/13.22 X865)) => 13.02/13.22 in( 13.02/13.22 setminus( 13.02/13.22 X865, 13.02/13.22 binunion( 13.02/13.22 X866,X867)), 13.02/13.22 powerset( 13.02/13.22 setminus( 13.02/13.22 X865,X866))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X868, 13.02/13.22 X869]: 13.02/13.22 (in( 13.02/13.22 X869, 13.02/13.22 powerset( 13.02/13.22 X868)) => 13.02/13.22 (![X870]: 13.02/13.22 (in( 13.02/13.22 X870, 13.02/13.22 powerset( 13.02/13.22 X868)) => 13.02/13.22 (![X871]: 13.02/13.22 (in( 13.02/13.22 X871,X868) => 13.02/13.22 (in( 13.02/13.22 X871, 13.02/13.22 setminus( 13.02/13.22 X868, 13.02/13.22 binunion( 13.02/13.22 X869,X870))) => 13.02/13.22 in( 13.02/13.22 X871, 13.02/13.22 setminus( 13.02/13.22 X868,X870))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X872, 13.02/13.22 X873]: 13.02/13.22 (in( 13.02/13.22 X873, 13.02/13.22 powerset( 13.02/13.22 X872)) => 13.02/13.22 (![X874]: 13.02/13.22 (in( 13.02/13.22 X874, 13.02/13.22 powerset( 13.02/13.22 X872)) => 13.02/13.22 (![X875]: 13.02/13.22 (in( 13.02/13.22 X875,X872) => 13.02/13.22 (in( 13.02/13.22 X875, 13.02/13.22 setminus( 13.02/13.22 X872, 13.02/13.22 binintersect( 13.02/13.22 X873,X874))) => 13.02/13.22 in( 13.02/13.22 X875, 13.02/13.22 binunion( 13.02/13.22 setminus( 13.02/13.22 X872,X873), 13.02/13.22 setminus( 13.02/13.22 X872,X874)))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X876, 13.02/13.22 X877]: 13.02/13.22 (in( 13.02/13.22 X877, 13.02/13.22 powerset( 13.02/13.22 X876)) => 13.02/13.22 (![X878]: 13.02/13.22 (in( 13.02/13.22 X878, 13.02/13.22 powerset( 13.02/13.22 X876)) => 13.02/13.22 (![X879]: 13.02/13.22 (in( 13.02/13.22 X879,X876) => 13.02/13.22 (in( 13.02/13.22 X879, 13.02/13.22 binunion( 13.02/13.22 setminus( 13.02/13.22 X876,X877), 13.02/13.22 setminus( 13.02/13.22 X876,X878))) => 13.02/13.22 in( 13.02/13.22 X879, 13.02/13.22 setminus( 13.02/13.22 X876, 13.02/13.22 binintersect( 13.02/13.22 X877,X878)))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X880, 13.02/13.22 X881]: 13.02/13.22 (in( 13.02/13.22 X881, 13.02/13.22 powerset( 13.02/13.22 X880)) => 13.02/13.22 (![X882]: 13.02/13.22 (in( 13.02/13.22 X882, 13.02/13.22 powerset( 13.02/13.22 X880)) => 13.02/13.22 (setminus( 13.02/13.22 X880, 13.02/13.22 binintersect( 13.02/13.22 X881,X882)) = 13.02/13.22 binunion( 13.02/13.22 setminus( 13.02/13.22 X880,X881), 13.02/13.22 setminus( 13.02/13.22 X880,X882))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X883, 13.02/13.22 X884]: 13.02/13.22 (in( 13.02/13.22 X884, 13.02/13.22 powerset( 13.02/13.22 X883)) => 13.02/13.22 (![X885]: 13.02/13.22 (in( 13.02/13.22 X885, 13.02/13.22 powerset( 13.02/13.22 X883)) => 13.02/13.22 (![X886]: 13.02/13.22 (in( 13.02/13.22 X886,X883) => 13.02/13.22 (in( 13.02/13.22 X886, 13.02/13.22 setminus( 13.02/13.22 X883, 13.02/13.22 binunion( 13.02/13.22 X884,X885))) => 13.02/13.22 in( 13.02/13.22 X886, 13.02/13.22 binintersect( 13.02/13.22 setminus( 13.02/13.22 X883,X884), 13.02/13.22 setminus( 13.02/13.22 X883,X885)))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X887, 13.02/13.22 X888]: 13.02/13.22 (in( 13.02/13.22 X888, 13.02/13.22 powerset( 13.02/13.22 X887)) => 13.02/13.22 (![X889]: 13.02/13.22 (in( 13.02/13.22 X889, 13.02/13.22 powerset( 13.02/13.22 X887)) => 13.02/13.22 (![X890]: 13.02/13.22 (in( 13.02/13.22 X890,X887) => 13.02/13.22 (in( 13.02/13.22 X890, 13.02/13.22 setminus( 13.02/13.22 X887,X888)) => 13.02/13.22 (in( 13.02/13.22 X890, 13.02/13.22 setminus( 13.02/13.22 X887,X889)) => 13.02/13.22 in( 13.02/13.22 X890, 13.02/13.22 setminus( 13.02/13.22 X887, 13.02/13.22 binunion( 13.02/13.22 X888,X889))))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X891, 13.02/13.22 X892]: 13.02/13.22 (in( 13.02/13.22 X892, 13.02/13.22 powerset( 13.02/13.22 X891)) => 13.02/13.22 (![X893]: 13.02/13.22 (in( 13.02/13.22 X893, 13.02/13.22 powerset( 13.02/13.22 X891)) => 13.02/13.22 (![X894]: 13.02/13.22 (in( 13.02/13.22 X894,X891) => 13.02/13.22 (in( 13.02/13.22 X894, 13.02/13.22 binintersect( 13.02/13.22 setminus( 13.02/13.22 X891,X892), 13.02/13.22 setminus( 13.02/13.22 X891,X893))) => 13.02/13.22 in( 13.02/13.22 X894, 13.02/13.22 setminus( 13.02/13.22 X891, 13.02/13.22 binunion( 13.02/13.22 X892,X893)))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X895, 13.02/13.22 X896]: 13.02/13.22 (in( 13.02/13.22 X896, 13.02/13.22 powerset( 13.02/13.22 X895)) => 13.02/13.22 (![X897]: 13.02/13.22 (in( 13.02/13.22 X897, 13.02/13.22 powerset( 13.02/13.22 X895)) => 13.02/13.22 (setminus( 13.02/13.22 X895, 13.02/13.22 binunion( 13.02/13.22 X896,X897)) = 13.02/13.22 binintersect( 13.02/13.22 setminus( 13.02/13.22 X895,X896), 13.02/13.22 setminus( 13.02/13.22 X895,X897))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X898, 13.02/13.22 X899]: 13.02/13.22 (in( 13.02/13.22 X899, 13.02/13.22 powerset( 13.02/13.22 X898)) => 13.02/13.22 (![X900]: 13.02/13.22 (in( 13.02/13.22 X900, 13.02/13.22 powerset( 13.02/13.22 X898)) => 13.02/13.22 (![X901]: 13.02/13.22 (in( 13.02/13.22 X901, 13.02/13.22 binintersect( 13.02/13.22 X899,X900)) => 13.02/13.22 in( 13.02/13.22 X901,X898))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X902, 13.02/13.22 X903]: 13.02/13.22 (in( 13.02/13.22 X903, 13.02/13.22 powerset( 13.02/13.22 X902)) => 13.02/13.22 (![X904]: 13.02/13.22 (in( 13.02/13.22 X904, 13.02/13.22 powerset( 13.02/13.22 X902)) => 13.02/13.22 (![X905]: 13.02/13.22 (in( 13.02/13.22 X905, 13.02/13.22 powerset( 13.02/13.22 X902)) => 13.02/13.22 (subset( 13.02/13.22 X903,X905) => 13.02/13.22 subset( 13.02/13.22 binintersect( 13.02/13.22 X903,X904), 13.02/13.22 X905)))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X906, 13.02/13.22 X907]: 13.02/13.22 (in( 13.02/13.22 X907, 13.02/13.22 powerset( 13.02/13.22 X906)) => 13.02/13.22 (![X908]: 13.02/13.22 (in( 13.02/13.22 X908, 13.02/13.22 powerset( 13.02/13.22 X906)) => 13.02/13.22 (![X909]: 13.02/13.22 (in( 13.02/13.22 X909, 13.02/13.22 powerset( 13.02/13.22 X906)) => 13.02/13.22 (subset( 13.02/13.22 X908,X909) => 13.02/13.22 subset( 13.02/13.22 binintersect( 13.02/13.22 X907,X908), 13.02/13.22 X909)))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X910, 13.02/13.22 X911]: 13.02/13.22 (in( 13.02/13.22 X911, 13.02/13.22 powerset( 13.02/13.22 X910)) => 13.02/13.22 (![X912]: 13.02/13.22 (in( 13.02/13.22 X912, 13.02/13.22 powerset( 13.02/13.22 X910)) => 13.02/13.22 (![X913]: 13.02/13.22 (in( 13.02/13.22 X913, 13.02/13.22 powerset( 13.02/13.22 X910)) => 13.02/13.22 (subset( 13.02/13.22 X911,X912) => 13.02/13.22 (subset( 13.02/13.22 X911,X913) => 13.02/13.22 subset( 13.02/13.22 X911, 13.02/13.22 binintersect( 13.02/13.22 X912,X913)))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X914, 13.02/13.22 X915]: 13.02/13.22 (in( 13.02/13.22 X915, 13.02/13.22 powerset( 13.02/13.22 X914)) => 13.02/13.22 (![X916]: 13.02/13.22 (in( 13.02/13.22 X916, 13.02/13.22 powerset( 13.02/13.22 X914)) => 13.02/13.22 (![X917]: 13.02/13.22 (in( 13.02/13.22 X917, 13.02/13.22 powerset( 13.02/13.22 X914)) => 13.02/13.22 (![X918]: 13.02/13.22 (in( 13.02/13.22 X918, 13.02/13.22 powerset( 13.02/13.22 X914)) => 13.02/13.22 (subset( 13.02/13.22 X915,X917) => 13.02/13.22 (subset( 13.02/13.22 X916,X918) => 13.02/13.22 subset( 13.02/13.22 binintersect( 13.02/13.22 X915,X916), 13.02/13.22 binintersect( 13.02/13.22 X917,X918)))))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X919, 13.02/13.22 X920]: 13.02/13.22 (in( 13.02/13.22 X920, 13.02/13.22 powerset( 13.02/13.22 X919)) => 13.02/13.22 (![X921]: 13.02/13.22 (in( 13.02/13.22 X921, 13.02/13.22 powerset( 13.02/13.22 X919)) => 13.02/13.22 in( 13.02/13.22 setminus( 13.02/13.22 X919,X920), 13.02/13.22 powerset( 13.02/13.22 setminus( 13.02/13.22 X919, 13.02/13.22 binintersect( 13.02/13.22 X920,X921)))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X922, 13.02/13.22 X923]: 13.02/13.22 (in( 13.02/13.22 X923, 13.02/13.22 powerset( 13.02/13.22 X922)) => 13.02/13.22 (![X924]: 13.02/13.22 (in( 13.02/13.22 X924, 13.02/13.22 powerset( 13.02/13.22 X922)) => 13.02/13.22 (![X925]: 13.02/13.22 (in( 13.02/13.22 X925, 13.02/13.22 powerset( 13.02/13.22 X922)) => 13.02/13.22 (![X926]: 13.02/13.22 (in( 13.02/13.22 X926, 13.02/13.22 powerset( 13.02/13.22 X922)) => 13.02/13.22 (setminus( 13.02/13.22 X922, 13.02/13.22 binintersect( 13.02/13.22 binunion( 13.02/13.22 X923,X924), 13.02/13.22 binunion( 13.02/13.22 X925,X926))) = 13.02/13.22 binunion( 13.02/13.22 binintersect( 13.02/13.22 setminus( 13.02/13.22 X922,X923), 13.02/13.22 setminus( 13.02/13.22 X922,X924)), 13.02/13.22 binintersect( 13.02/13.22 setminus( 13.02/13.22 X922,X925), 13.02/13.22 setminus( 13.02/13.22 X922,X926)))))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X927, 13.02/13.22 X928]: 13.02/13.22 (in( 13.02/13.22 X928, 13.02/13.22 powerset( 13.02/13.22 X927)) => 13.02/13.22 (![X929]: 13.02/13.22 (in( 13.02/13.22 X929, 13.02/13.22 powerset( 13.02/13.22 X927)) => 13.02/13.22 (![X930]: 13.02/13.22 (in( 13.02/13.22 X930, 13.02/13.22 powerset( 13.02/13.22 X927)) => 13.02/13.22 in( 13.02/13.22 binintersect( 13.02/13.22 X928,X929), 13.02/13.22 powerset( 13.02/13.22 binintersect( 13.02/13.22 binunion( 13.02/13.22 X928,X930), 13.02/13.22 binunion( 13.02/13.22 X929,X930)))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X931, 13.02/13.22 X932]: 13.02/13.22 (in( 13.02/13.22 X932, 13.02/13.22 powerset( 13.02/13.22 X931)) => 13.02/13.22 (![X933]: 13.02/13.22 (in( 13.02/13.22 X933, 13.02/13.22 powerset( 13.02/13.22 X931)) => 13.02/13.22 (subset( 13.02/13.22 X932, 13.02/13.22 setminus( 13.02/13.22 X931,X933)) => 13.02/13.22 subset( 13.02/13.22 X933, 13.02/13.22 setminus( 13.02/13.22 X931,X932))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X934, 13.02/13.22 X935]: 13.02/13.22 (in( 13.02/13.22 X935, 13.02/13.22 powerset( 13.02/13.22 X934)) => 13.02/13.22 (![X936]: 13.02/13.22 (in( 13.02/13.22 X936, 13.02/13.22 powerset( 13.02/13.22 X934)) => 13.02/13.22 in( 13.02/13.22 setminus( 13.02/13.22 X934, 13.02/13.22 binunion( 13.02/13.22 X935,X936)), 13.02/13.22 powerset( 13.02/13.22 setminus( 13.02/13.22 X934,X935))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X937, 13.02/13.22 X938]: 13.02/13.22 (subset( 13.02/13.22 X938, 13.02/13.22 cartprod( 13.02/13.22 X937,X937)) => 13.02/13.22 (![X939:( 13.02/13.22 $i > $o)]: 13.02/13.22 (( 13.02/13.22 ![X940]: 13.02/13.22 (in( 13.02/13.22 X940,X937) => 13.02/13.22 (![X941]: 13.02/13.22 (in( 13.02/13.22 X941,X937) => 13.02/13.22 (in( 13.02/13.22 kpair( 13.02/13.22 X940,X941), 13.02/13.22 X938) => 13.02/13.22 X939( 13.02/13.22 kpair( 13.02/13.22 X940,X941))))))) => 13.02/13.22 (![X942]: 13.02/13.22 (in( 13.02/13.22 X942,X938) => 13.02/13.22 X939( 13.02/13.22 X942))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X943, 13.02/13.22 X944]: 13.02/13.22 (in( 13.02/13.22 X944, 13.02/13.22 breln1Set( 13.02/13.22 X943)) => 13.02/13.22 subset( 13.02/13.22 X944, 13.02/13.22 cartprod( 13.02/13.22 X943,X943)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X945, 13.02/13.22 X946, 13.02/13.22 X947:( 13.02/13.22 ($i * $i) > 13.02/13.22 $o)]: 13.02/13.22 (( 13.02/13.22 ![X948]: 13.02/13.22 (in( 13.02/13.22 X948,X945) => 13.02/13.22 (?[X949]: 13.02/13.22 (X947( 13.02/13.22 X948,X949) & 13.02/13.22 in( 13.02/13.22 X949,X946))))) => 13.02/13.22 (![X950]: 13.02/13.22 (in( 13.02/13.22 X950, 13.02/13.22 breln1Set( 13.02/13.22 X946)) => 13.02/13.22 (reflwellordering( 13.02/13.22 X946,X950) => 13.02/13.22 (![X951]: 13.02/13.22 (in( 13.02/13.22 X951,X945) => 13.02/13.22 singleton( 13.02/13.22 dsetconstr( 13.02/13.22 X946, 13.02/13.22 ^[V_53]: 13.02/13.22 (X947( 13.02/13.22 X951,V_53) & 13.02/13.22 (![X952]: 13.02/13.22 (in( 13.02/13.22 X952,X946) => 13.02/13.22 (X947( 13.02/13.22 X951,X952) => 13.02/13.22 in( 13.02/13.22 kpair( 13.02/13.22 V_53,X952), 13.02/13.22 X950)))))))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X953, 13.02/13.22 X954:( 13.02/13.22 ($i * $i) > 13.02/13.22 $o)]: 13.02/13.22 subset( 13.02/13.22 dpsetconstr( 13.02/13.22 X953, 13.02/13.22 X953, 13.02/13.22 ^[V_54, 13.02/13.22 V_55]: 13.02/13.22 X954( 13.02/13.22 V_54,V_55)), 13.02/13.22 cartprod( 13.02/13.22 X953,X953))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X955, 13.02/13.22 X956]: 13.02/13.22 (subset( 13.02/13.22 X956, 13.02/13.22 cartprod( 13.02/13.22 X955,X955)) => 13.02/13.22 (![X957:( 13.02/13.22 $i > $o)]: 13.02/13.22 (( 13.02/13.22 ![X958]: 13.02/13.22 (in( 13.02/13.22 X958,X955) => 13.02/13.22 (![X959]: 13.02/13.22 (in( 13.02/13.22 X959,X955) => 13.02/13.22 (in( 13.02/13.22 kpair( 13.02/13.22 X958,X959), 13.02/13.22 X956) => 13.02/13.22 X957( 13.02/13.22 kpair( 13.02/13.22 X958,X959))))))) => 13.02/13.22 (![X960]: 13.02/13.22 (in( 13.02/13.22 X960,X956) => 13.02/13.22 X957( 13.02/13.22 X960))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X961, 13.02/13.22 X962]: 13.02/13.22 (subset( 13.02/13.22 X962, 13.02/13.22 cartprod( 13.02/13.22 X961,X961)) => 13.02/13.22 (![X963]: 13.02/13.22 (subset( 13.02/13.22 X963, 13.02/13.22 cartprod( 13.02/13.22 X961,X961)) => 13.02/13.22 (( 13.02/13.22 ![X964]: 13.02/13.22 (in( 13.02/13.22 X964,X961) => 13.02/13.22 (![X965]: 13.02/13.22 (in( 13.02/13.22 X965,X961) => 13.02/13.22 (in( 13.02/13.22 kpair( 13.02/13.22 X964,X965), 13.02/13.22 X962) => 13.02/13.22 in( 13.02/13.22 kpair( 13.02/13.22 X964,X965), 13.02/13.22 X963)))))) => 13.02/13.22 subset( 13.02/13.22 X962,X963)))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X966, 13.02/13.22 X967]: 13.02/13.22 (subset( 13.02/13.22 X967, 13.02/13.22 cartprod( 13.02/13.22 X966,X966)) => 13.02/13.22 (![X968]: 13.02/13.22 (subset( 13.02/13.22 X968, 13.02/13.22 cartprod( 13.02/13.22 X966,X966)) => 13.02/13.22 (( 13.02/13.22 ![X969]: 13.02/13.22 (in( 13.02/13.22 X969,X966) => 13.02/13.22 (![X970]: 13.02/13.22 (in( 13.02/13.22 X970,X966) => 13.02/13.22 (in( 13.02/13.22 kpair( 13.02/13.22 X969,X970), 13.02/13.22 X967) => 13.02/13.22 in( 13.02/13.22 kpair( 13.02/13.22 X969,X970), 13.02/13.22 X968)))))) => 13.02/13.22 (( 13.02/13.22 ![X971]: 13.02/13.22 (in( 13.02/13.22 X971,X966) => 13.02/13.22 (![X972]: 13.02/13.22 (in( 13.02/13.22 X972,X966) => 13.02/13.22 (in( 13.02/13.22 kpair( 13.02/13.22 X971,X972), 13.02/13.22 X968) => 13.02/13.22 in( 13.02/13.22 kpair( 13.02/13.22 X971,X972), 13.02/13.22 X967)))))) => 13.02/13.22 (X967 = 13.02/13.22 X968))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X973, 13.02/13.22 X974]: 13.02/13.22 (subset( 13.02/13.22 X974, 13.02/13.22 cartprod( 13.02/13.22 X973,X973)) => 13.02/13.22 subset( 13.02/13.22 breln1invset( 13.02/13.22 X973,X974), 13.02/13.22 cartprod( 13.02/13.22 X973,X973)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X975, 13.02/13.22 X976]: 13.02/13.22 (subset( 13.02/13.22 X976, 13.02/13.22 cartprod( 13.02/13.22 X975,X975)) => 13.02/13.22 (![X977]: 13.02/13.22 (in( 13.02/13.22 X977,X975) => 13.02/13.22 (![X978]: 13.02/13.22 (in( 13.02/13.22 X978,X975) => 13.02/13.22 (in( 13.02/13.22 kpair( 13.02/13.22 X977,X978), 13.02/13.22 X976) => 13.02/13.22 in( 13.02/13.22 kpair( 13.02/13.22 X978,X977), 13.02/13.22 breln1invset( 13.02/13.22 X975,X976))))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X979, 13.02/13.22 X980]: 13.02/13.22 (subset( 13.02/13.22 X980, 13.02/13.22 cartprod( 13.02/13.22 X979,X979)) => 13.02/13.22 (![X981]: 13.02/13.22 (in( 13.02/13.22 X981,X979) => 13.02/13.22 (![X982]: 13.02/13.22 (in( 13.02/13.22 X982,X979) => 13.02/13.22 (in( 13.02/13.22 kpair( 13.02/13.22 X982,X981), 13.02/13.22 breln1invset( 13.02/13.22 X979,X980)) => 13.02/13.22 in( 13.02/13.22 kpair( 13.02/13.22 X981,X982), 13.02/13.22 X980)))))))) => 13.02/13.22 ( 13.02/13.22 ![X983, 13.02/13.22 X984]: 13.02/13.22 (subset( 13.02/13.22 X984, 13.02/13.22 cartprod( 13.02/13.22 X983,X983)) => 13.02/13.22 (![X985]: 13.02/13.22 (subset( 13.02/13.22 X985, 13.02/13.22 cartprod( 13.02/13.22 X983,X983)) => 13.02/13.22 subset( 13.02/13.22 dpsetconstr( 13.02/13.22 X983, 13.02/13.22 X983, 13.02/13.22 ^[V_56, 13.02/13.22 V_57]: 13.02/13.22 (?[X986]: 13.02/13.22 (in( 13.02/13.22 X986,X983) & 13.02/13.22 in( 13.02/13.22 kpair( 13.02/13.22 V_56,X986), 13.02/13.22 X984) & 13.02/13.22 in( 13.02/13.22 kpair( 13.02/13.22 X986,V_57), 13.02/13.22 X985)))), 13.02/13.22 cartprod( 13.02/13.22 X983,X983))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 13.02/13.22 tff(zf_stmt_14, negated_conjecture, 13.02/13.22 (~ 13.02/13.22 ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) => 13.02/13.22 ((![X5]: (~in(X5,emptyset))) => 13.02/13.22 ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> zip_tseitin0(X8,X7,X6))) => 13.02/13.22 ((![X9,X10]: 13.02/13.22 (in(X10,powerset(X9)) <=> (![X11]: zip_tseitin1(X11,X10,X9)))) => 13.02/13.22 ((![X12,X13]: 13.02/13.22 (in(X13,setunion(X12)) <=> (?[X14]: zip_tseitin2(X14,X13,X12)))) => 13.02/13.22 (in(emptyset,omega) => 13.02/13.22 ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) => 13.02/13.22 ((![X16]: 13.02/13.22 (((![X17]: 13.02/13.22 ((in(X17,X16) & in(X17,omega)) => 13.02/13.22 in(setadjoin(X17,X17),X16))) & 13.02/13.22 in(emptyset,X16)) => 13.02/13.22 (![X18]: (in(X18,omega) => in(X18,X16))))) => 13.02/13.22 ((![X19:(($i * $i) > $o),X20]: 13.02/13.22 ((![X21]: 13.02/13.22 (in(X21,X20) => 13.02/13.22 (?[X22]: 13.02/13.22 ((![X23]: (X19(X21,X23) => (X22 = X23))) & 13.02/13.22 X19(X21,X22))))) => 13.02/13.22 (?[X24]: 13.02/13.22 (![X25]: 13.02/13.22 (in(X25,X24) <=> 13.02/13.22 (?[X26]: zip_tseitin3(X26,X25,X20,X19))))))) => 13.02/13.22 ((![X27]: 13.02/13.22 ((?[X28]: in(X28,X27)) => 13.02/13.22 (?[X29]: 13.02/13.22 ((~(?[X30]: (in(X30,X27) & in(X30,X29)))) & in(X29,X27))))) => 13.02/13.22 ((![X31]: 13.02/13.22 (?[X32]: 13.02/13.22 ((![X33]: 13.02/13.22 (((?[X34]: in(X34,X33)) & 13.02/13.22 (![X35]: (in(X35,X33) => in(X35,X31)))) => 13.02/13.22 (?[X36,X37]: 13.02/13.22 ((![X38]: 13.02/13.22 (in(X38,X32) => 13.02/13.22 (in(X37,X38) | 13.02/13.22 (![X39]: (in(X39,X38) => in(X39,X36)))))) & 13.02/13.22 (~(?[X40]: (in(X40,X33) & in(X40,X36)))) & 13.02/13.22 in(X37,X33) & in(X36,X32))))) & 13.02/13.22 (![X41,X42]: 13.02/13.22 ((in(X42,X32) & in(X41,X32)) => 13.02/13.22 ((![X43]: (in(X43,X42) => in(X43,X41))) | 13.02/13.22 (![X44]: (in(X44,X41) => in(X44,X42)))))) & 13.02/13.22 (![X45,X46]: 13.02/13.22 ((in(X46,X31) & in(X45,X31)) => 13.02/13.22 ((![X47]: 13.02/13.22 (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) => 13.02/13.22 (X45 = X46)))) & 13.02/13.22 (![X48]: 13.02/13.22 (in(X48,X32) => 13.02/13.22 (![X49]: (in(X49,X48) => in(X49,X31)))))))) => 13.02/13.22 ((![X50:($i > $o)]: 13.02/13.22 ((?[X51]: ((![X52]: (X50(X52) => (X51 = X52))) & X50(X51))) => 13.02/13.22 X50(descr(^[V_1]: X50(V_1))))) => 13.02/13.22 ((![X53,X54:($i > $o),X55]: 13.02/13.22 (in(X55,X53) => 13.02/13.22 (X54(X55) => in(X55,dsetconstr(X53,^[V_2]: X54(V_2)))))) => 13.02/13.22 ((![X56,X57:($i > $o),X58]: 13.02/13.22 (in(X58,dsetconstr(X56,^[V_3]: X57(V_3))) => in(X58,X56))) => 13.02/13.22 ((![X59,X60:($i > $o),X61]: 13.02/13.22 (in(X61,dsetconstr(X59,^[V_4]: X60(V_4))) => X60(X61))) => 13.02/13.22 ((![X62:($i > $o)]: 13.02/13.22 ((?[X63]: 13.02/13.22 ((![X64]: (X62(X64) => (X63 = X64))) & X62(X63))) => 13.02/13.22 (?[X65]: 13.02/13.22 ((![X66]: (X62(X66) => (X65 = X66))) & X62(X65))))) => 13.02/13.22 ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) => 13.02/13.22 ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) => 13.02/13.22 ((![X71]: (in(X71,emptyset) => $false)) => 13.02/13.22 ((![X72]: (~in(X72,emptyset))) => 13.02/13.22 ((![X73:($i > $o)]: 13.02/13.22 ((?[X74]: 13.02/13.22 ((![X75]: (X73(X75) => (X74 = X75))) & 13.02/13.22 X73(X74))) => 13.02/13.22 (?[X76]: X73(X76)))) => 13.02/13.22 ((![X77,X78]: 13.02/13.22 ((![X79]: (in(X79,X77) => in(X79,X78))) => 13.02/13.22 ((![X80]: (in(X80,X78) => in(X80,X77))) => 13.02/13.22 (X77 = X78)))) => 13.02/13.22 ((![X81]: 13.02/13.22 ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) => 13.02/13.22 ((![X83]: 13.02/13.22 ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) => 13.02/13.22 ((![X85,X86:($i > $o),X87]: 13.02/13.22 (in(X87,X85) => 13.02/13.22 (in(X87,dsetconstr(X85,^[V_5]: X86(V_5))) <=> 13.02/13.22 X86(X87)))) => 13.02/13.22 ((![X88]: 13.02/13.22 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) => 13.02/13.22 ((![X90,X91:($i > $o),X92]: 13.02/13.22 (in(X92,X90) => 13.02/13.22 (X91(X92) => 13.02/13.22 (dsetconstr(X90,^[V_6]: X91(V_6)) != 13.02/13.22 emptyset)))) => 13.02/13.22 ((![X93]: 13.02/13.22 ((?[X94]: in(X94,X93)) => 13.02/13.22 (X93 != emptyset))) => 13.02/13.22 ((![X95,X96]: in(X95,setadjoin(X95,X96))) => 13.02/13.22 (in(emptyset,setadjoin(emptyset,emptyset)) => 13.02/13.22 ((![X97,X98,X99]: 13.02/13.22 (in(X99,X98) => 13.02/13.22 in(X99,setadjoin(X97,X98)))) => 13.02/13.22 ((![X100,X101,X102]: 13.02/13.22 (in(X102,setadjoin(X100,X101)) => 13.02/13.22 (![X103:$o]: 13.02/13.22 (((X102 = X100) => X103) => 13.02/13.22 ((in(X102,X101) => X103) => X103))))) => 13.02/13.22 ((![X104,X105,X106]: 13.02/13.22 (in(X106,setadjoin(X104,X105)) => 13.02/13.22 (in(X106,X105) | (X106 = X104)))) => 13.02/13.22 ((![X107]: 13.02/13.22 (dsetconstr(X107,^[V_7]: $true) = 13.02/13.22 X107)) => 13.02/13.22 ((![X108,X109]: 13.02/13.22 ((![X110]: 13.02/13.22 (in(X110,X109) => in(X110,X108))) => 13.02/13.22 in(X109,powerset(X108)))) => 13.02/13.22 ((![X111]: in(emptyset,powerset(X111))) => 13.02/13.22 ((![X112]: 13.02/13.22 in(emptyset,powerset(X112))) => 13.02/13.22 ((![X113,X114,X115]: 13.02/13.22 (in(X114,powerset(X113)) => 13.02/13.22 (in(X115,X114) => in(X115,X113)))) => 13.02/13.22 ((![X116,X117,X118]: 13.02/13.22 (in(X117,X118) => 13.02/13.22 (in(X118,X116) => 13.02/13.22 in(X117,setunion(X116))))) => 13.02/13.22 ((![X119,X120]: 13.02/13.22 (in(X120,setunion(X119)) => 13.02/13.22 (![X121:$o]: 13.02/13.22 ((![X122]: 13.02/13.22 (in(X120,X122) => 13.02/13.22 (in(X122,X119) => 13.02/13.22 X121))) => 13.02/13.22 X121)))) => 13.02/13.22 ((![X123,X124]: 13.02/13.22 (in(X124,X123) => 13.02/13.22 in(X124, 13.02/13.22 powerset(setunion(X123))))) => 13.02/13.22 ((![X125:($i > $o)]: 13.02/13.22 ((?[X126]: 13.02/13.22 ((![X127]: 13.02/13.22 (X125(X127) => 13.02/13.22 (X126 = X127))) & 13.02/13.22 X125(X126))) => 13.02/13.22 (?[X128]: 13.02/13.22 (![X129]: 13.02/13.22 (X125(X129) <=> 13.02/13.22 (X129 = X128)))))) => 13.02/13.22 ((![X130]: 13.02/13.22 ((X130 != emptyset) => 13.02/13.22 (?[X131]: in(X131,X130)))) => 13.02/13.22 ((![X132,X133]: 13.02/13.22 (in(X132, 13.02/13.22 setadjoin(X133, 13.02/13.22 emptyset)) => 13.02/13.22 (X132 = X133))) => 13.02/13.22 ((![X134,X135]: 13.02/13.22 ((X134 != X135) => 13.02/13.22 (~ 13.02/13.22 in(X135, 13.02/13.22 setadjoin(X134, 13.02/13.22 emptyset))))) => 13.02/13.22 ((![X136,X137]: 13.02/13.22 ((X136 = X137) => 13.02/13.22 in(X136, 13.02/13.22 setadjoin(X137, 13.02/13.22 emptyset)))) => 13.02/13.22 ((![X138,X139]: 13.02/13.22 (in(X138, 13.02/13.22 setadjoin(X139, 13.02/13.22 emptyset)) => 13.02/13.22 in(X139, 13.02/13.22 setadjoin(X138, 13.02/13.22 emptyset)))) => 13.02/13.22 ((![X140,X141,X142]: 13.02/13.22 (in(X142, 13.02/13.22 setadjoin( 13.02/13.22 X140, 13.02/13.22 setadjoin( 13.02/13.22 X141,emptyset))) => 13.02/13.22 ((X142 = X141) | 13.02/13.22 (X142 = X140)))) => 13.02/13.22 ((![X143,X144]: 13.02/13.22 in(X143, 13.02/13.22 setadjoin( 13.02/13.22 X143, 13.02/13.22 setadjoin( 13.02/13.22 X144,emptyset)))) => 13.02/13.22 ((![X145,X146]: 13.02/13.22 in(X146, 13.02/13.22 setadjoin( 13.02/13.22 X145, 13.02/13.22 setadjoin( 13.02/13.22 X146,emptyset)))) => 13.02/13.22 ((![X147,X148:($i > $o)]: 13.02/13.22 ((?[X149]: 13.02/13.22 (X148(X149) & 13.02/13.22 in(X149,X147))) => 13.02/13.22 ((dsetconstr( 13.02/13.22 X147, 13.02/13.22 ^[V_8]: 13.02/13.22 X148(V_8)) = 13.02/13.22 emptyset) => 13.02/13.22 $false))) => 13.02/13.22 ((![X150:($i > $o), 13.02/13.22 X151]: 13.02/13.22 (in(X151,emptyset) => 13.02/13.22 X150(X151))) => 13.02/13.22 ((![X152, 13.02/13.22 X153:($i > $o)]: 13.02/13.22 ((~ 13.02/13.22 (![X154]: 13.02/13.22 (in( 13.02/13.22 X154,X152) => 13.02/13.22 X153(X154)))) => 13.02/13.22 (?[X155]: 13.02/13.22 ((~X153(X155)) & 13.02/13.22 in(X155,X152))))) => 13.02/13.22 ((![X156, 13.02/13.22 X157:($i > $o)]: 13.02/13.22 ((![X158]: 13.02/13.22 (in( 13.02/13.22 X158,X156) => 13.02/13.22 (~ 13.02/13.22 X157( 13.02/13.22 X158)))) => 13.02/13.22 (~ 13.02/13.22 (?[X159]: 13.02/13.22 (X157( 13.02/13.22 X159) & 13.02/13.22 in( 13.02/13.22 X159,X156)))))) => 13.02/13.22 ((![X160, 13.02/13.22 X161:($i > $o)]: 13.02/13.22 ((~ 13.02/13.22 (?[X162]: 13.02/13.22 ( 13.02/13.22 X161( 13.02/13.22 X162) & 13.02/13.22 in( 13.02/13.22 X162,X160)))) => 13.02/13.22 (![X163]: 13.02/13.22 (in( 13.02/13.22 X163,X160) => 13.02/13.22 (~ 13.02/13.22 X161( 13.02/13.22 X163)))))) => 13.02/13.22 ((![X164, 13.02/13.22 X165:( 13.02/13.22 $i > $o)]: 13.02/13.22 ((?[X166]: 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 X165( 13.02/13.22 X166)) & 13.02/13.22 in( 13.02/13.22 X166,X164))) => 13.02/13.22 (~ 13.02/13.22 (![X167]: 13.02/13.22 (in( 13.02/13.22 X167,X164) => 13.02/13.22 X165( 13.02/13.22 X167)))))) => 13.02/13.22 ((![X168:$o]: 13.02/13.22 (X168 => 13.02/13.22 in(emptyset, 13.02/13.22 prop2set( 13.02/13.22 X168)))) => 13.02/13.22 ((![X169:$o]: 13.02/13.22 (X169 => 13.02/13.22 set2prop( 13.02/13.22 prop2set( 13.02/13.22 X169)))) => 13.02/13.22 ((![X170, 13.02/13.22 X171:( 13.02/13.22 $i > $o)]: 13.02/13.22 ((~ 13.02/13.22 ( 13.02/13.22 ?[X172]: 13.02/13.22 (X171( 13.02/13.22 X172) & 13.02/13.22 in( 13.02/13.22 X172,X170)))) => 13.02/13.22 (![X173]: 13.02/13.22 (in( 13.02/13.22 X173,X170) => 13.02/13.22 (~ 13.02/13.22 X171( 13.02/13.22 X173)))))) => 13.02/13.22 ((![X174, 13.02/13.22 X175:( 13.02/13.22 $i > $o)]: 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 ( 13.02/13.22 ![X176]: 13.02/13.22 (in( 13.02/13.22 X176,X174) => 13.02/13.22 X175( 13.02/13.22 X176)))) => 13.02/13.22 ( 13.02/13.22 ?[X177]: 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 X175( 13.02/13.22 X177)) & 13.02/13.22 in( 13.02/13.22 X177,X174))))) => 13.02/13.22 ((![X178:( 13.02/13.22 $i > $o)]: 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ?[X179]: 13.02/13.22 (( 13.02/13.22 ![X180]: 13.02/13.22 (X178( 13.02/13.22 X180) => 13.02/13.22 (X179 = 13.02/13.22 X180))) & 13.02/13.22 X178( 13.02/13.22 X179))) => 13.02/13.22 ( 13.02/13.22 ?[X181]: 13.02/13.22 (( 13.02/13.22 ![X182]: 13.02/13.22 (X178( 13.02/13.22 X182) => 13.02/13.22 (X181 = 13.02/13.22 X182))) & 13.02/13.22 X178( 13.02/13.22 X181))))) => 13.02/13.22 ((![X183:( 13.02/13.22 $i > $o)]: 13.02/13.22 (( 13.02/13.22 ?[X184]: 13.02/13.22 X183( 13.02/13.22 X184)) => 13.02/13.22 (( 13.02/13.22 ![X185, 13.02/13.22 X186]: 13.02/13.22 (X183( 13.02/13.22 X185) => 13.02/13.22 (X183( 13.02/13.22 X186) => 13.02/13.22 (X185 = 13.02/13.22 X186)))) => 13.02/13.22 (?[X187]: 13.02/13.22 (( 13.02/13.22 ![X188]: 13.02/13.22 (X183( 13.02/13.22 X188) => 13.02/13.22 (X187 = 13.02/13.22 X188))) & 13.02/13.22 X183( 13.02/13.22 X187)))))) => 13.02/13.22 ((![X189:( 13.02/13.22 $i > $o)]: 13.02/13.22 (( 13.02/13.22 ?[X190]: 13.02/13.22 (![X191]: 13.02/13.22 (X189( 13.02/13.22 X191) <=> 13.02/13.22 (X191 = 13.02/13.22 X190)))) => 13.02/13.22 (?[X192]: 13.02/13.22 (( 13.02/13.22 ![X193]: 13.02/13.22 (X189( 13.02/13.22 X193) => 13.02/13.22 (X192 = 13.02/13.22 X193))) & 13.02/13.22 X189( 13.02/13.22 X192))))) => 13.02/13.22 (( 13.02/13.22 ![X194, 13.02/13.22 X195]: 13.02/13.22 (( 13.02/13.22 X194 = 13.02/13.22 X195) => 13.02/13.22 (![X196, 13.02/13.22 X197]: 13.02/13.22 (( 13.02/13.22 X196 = 13.02/13.22 X197) => 13.02/13.22 (in( 13.02/13.22 X196,X194) => 13.02/13.22 in( 13.02/13.22 X197,X195)))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X198, 13.02/13.22 X199]: 13.02/13.22 (( 13.02/13.22 X198 = 13.02/13.22 X199) => 13.02/13.22 (![X200, 13.02/13.22 X201]: 13.02/13.22 (( 13.02/13.22 X200 = 13.02/13.22 X201) => 13.02/13.22 (in( 13.02/13.22 X200,X198) <=> 13.02/13.22 in( 13.02/13.22 X201,X199)))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X202:( 13.02/13.22 $i > $o)]: 13.02/13.22 (( 13.02/13.22 ?[X203]: 13.02/13.22 (( 13.02/13.22 ![X204]: 13.02/13.22 (X202( 13.02/13.22 X204) => 13.02/13.22 (X203 = 13.02/13.22 X204))) & 13.02/13.22 X202( 13.02/13.22 X203))) => 13.02/13.22 (![X205, 13.02/13.22 X206]: 13.02/13.22 (X202( 13.02/13.22 X205) => 13.02/13.22 (X202( 13.02/13.22 X206) => 13.02/13.22 (X205 = 13.02/13.22 X206)))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X207:( 13.02/13.22 $i > $o), 13.02/13.22 X208:( 13.02/13.22 $i > $o)]: 13.02/13.22 (( 13.02/13.22 ![X209, 13.02/13.22 X210]: 13.02/13.22 (( 13.02/13.22 X209 = 13.02/13.22 X210) => 13.02/13.22 (X207( 13.02/13.22 X209) <=> 13.02/13.22 X208( 13.02/13.22 X210)))) => 13.02/13.22 (( 13.02/13.22 ?[X211]: 13.02/13.22 zip_tseitin5( 13.02/13.22 X211,X207)) <=> 13.02/13.22 (?[X213]: 13.02/13.22 zip_tseitin5( 13.02/13.22 X213,X208))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 emptyset = 13.02/13.22 emptyset) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X215, 13.02/13.22 X216]: 13.02/13.22 (( 13.02/13.22 X215 = 13.02/13.22 X216) => 13.02/13.22 (![X217, 13.02/13.22 X218]: 13.02/13.22 (( 13.02/13.22 X217 = 13.02/13.22 X218) => 13.02/13.22 (setadjoin( 13.02/13.22 X215,X217) = 13.02/13.22 setadjoin( 13.02/13.22 X216,X218)))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X219, 13.02/13.22 X220]: 13.02/13.22 (( 13.02/13.22 X219 = 13.02/13.22 X220) => 13.02/13.22 (powerset( 13.02/13.22 X219) = 13.02/13.22 powerset( 13.02/13.22 X220)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X221, 13.02/13.22 X222]: 13.02/13.22 (( 13.02/13.22 X221 = 13.02/13.22 X222) => 13.02/13.22 (setunion( 13.02/13.22 X221) = 13.02/13.22 setunion( 13.02/13.22 X222)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 omega = 13.02/13.22 omega) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X223:( 13.02/13.22 $i > $o)]: 13.02/13.22 (( 13.02/13.22 ?[X224]: 13.02/13.22 (( 13.02/13.22 ![X225]: 13.02/13.22 (X223( 13.02/13.22 X225) => 13.02/13.22 (X224 = 13.02/13.22 X225))) & 13.02/13.22 X223( 13.02/13.22 X224))) => 13.02/13.22 (![X226, 13.02/13.22 X227]: 13.02/13.22 (X223( 13.02/13.22 X226) => 13.02/13.22 (X223( 13.02/13.22 X227) => 13.02/13.22 (X226 = 13.02/13.22 X227)))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X228:( 13.02/13.22 $i > $o), 13.02/13.22 X229:( 13.02/13.22 $i > $o)]: 13.02/13.22 (( 13.02/13.22 ![X230, 13.02/13.22 X231]: 13.02/13.22 (( 13.02/13.22 X230 = 13.02/13.22 X231) => 13.02/13.22 (X228( 13.02/13.22 X230) <=> 13.02/13.22 X229( 13.02/13.22 X231)))) => 13.02/13.22 (( 13.02/13.22 ?[X232]: 13.02/13.22 (( 13.02/13.22 ![X233]: 13.02/13.22 (X228( 13.02/13.22 X233) => 13.02/13.22 (X232 = 13.02/13.22 X233))) & 13.02/13.22 X228( 13.02/13.22 X232))) => 13.02/13.22 (( 13.02/13.22 ?[X234]: 13.02/13.22 (( 13.02/13.22 ![X235]: 13.02/13.22 (X229( 13.02/13.22 X235) => 13.02/13.22 (X234 = 13.02/13.22 X235))) & 13.02/13.22 X229( 13.02/13.22 X234))) => 13.02/13.22 (descr( 13.02/13.22 ^[V_9]: 13.02/13.22 X228(V_9)) = 13.02/13.22 descr( 13.02/13.22 ^[V_10]: 13.02/13.22 X229( 13.02/13.22 V_10))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X236, 13.02/13.22 X237]: 13.02/13.22 (( 13.02/13.22 X236 = 13.02/13.22 X237) => 13.02/13.22 (![X238:( 13.02/13.22 $i > $o), 13.02/13.22 X239:( 13.02/13.22 $i > $o)]: 13.02/13.22 (( 13.02/13.22 ![X240]: 13.02/13.22 (in( 13.02/13.22 X240,X236) => 13.02/13.22 (![X241]: 13.02/13.22 (in( 13.02/13.22 X241,X237) => 13.02/13.22 (( 13.02/13.22 X240 = 13.02/13.22 X241) => 13.02/13.22 (X238( 13.02/13.22 X240) <=> 13.02/13.22 X239( 13.02/13.22 X241))))))) => 13.02/13.22 (dsetconstr( 13.02/13.22 X236, 13.02/13.22 ^[V_11]: 13.02/13.22 X238( 13.02/13.22 V_11)) = 13.02/13.22 dsetconstr( 13.02/13.22 X237, 13.02/13.22 ^[V_12]: 13.02/13.22 X239( 13.02/13.22 V_12))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X242, 13.02/13.22 X243]: 13.02/13.22 (( 13.02/13.22 ![X244]: 13.02/13.22 (in( 13.02/13.22 X244,X242) => 13.02/13.22 in( 13.02/13.22 X244,X243))) => 13.02/13.22 subset( 13.02/13.22 X242,X243))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X245, 13.02/13.22 X246]: 13.02/13.22 (( 13.02/13.22 X245 = 13.02/13.22 X246) => 13.02/13.22 subset( 13.02/13.22 X246,X245))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X247, 13.02/13.22 X248]: 13.02/13.22 (( 13.02/13.22 X247 = 13.02/13.22 X248) => 13.02/13.22 subset( 13.02/13.22 X247,X248))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X249, 13.02/13.22 X250]: 13.02/13.22 (( 13.02/13.22 ![X251]: 13.02/13.22 (in( 13.02/13.22 X251,X249) => 13.02/13.22 in( 13.02/13.22 X251,X250))) => 13.02/13.22 subset( 13.02/13.22 X249,X250))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X252]: 13.02/13.22 subset( 13.02/13.22 emptyset, 13.02/13.22 X252)) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X253, 13.02/13.22 X254,X255]: 13.02/13.22 (subset( 13.02/13.22 X253,X254) => 13.02/13.22 (in( 13.02/13.22 X255,X253) => 13.02/13.22 in( 13.02/13.22 X255,X254)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X256, 13.02/13.22 X257,X258]: 13.02/13.22 (subset( 13.02/13.22 X256,X257) => 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X258,X257)) => 13.02/13.22 (~ 13.02/13.22 in( 13.02/13.22 X258,X256))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X259, 13.02/13.22 X260,X261]: 13.02/13.22 (in( 13.02/13.22 X261,X259) => 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X261,X260)) => 13.02/13.22 (~ 13.02/13.22 subset( 13.02/13.22 X259,X260))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X262, 13.02/13.22 X263]: 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 subset( 13.02/13.22 X262,X263)) => 13.02/13.22 (X262 != 13.02/13.22 X263))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X264, 13.02/13.22 X265,X266]: 13.02/13.22 (in( 13.02/13.22 X266,X264) => 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X266,X265)) => 13.02/13.22 (X264 != 13.02/13.22 X265)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X267]: 13.02/13.22 subset( 13.02/13.22 X267,X267)) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X268, 13.02/13.22 X269,X270]: 13.02/13.22 (subset( 13.02/13.22 X268,X269) => 13.02/13.22 (subset( 13.02/13.22 X269,X270) => 13.02/13.22 subset( 13.02/13.22 X268,X270)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X271, 13.02/13.22 X272]: 13.02/13.22 subset( 13.02/13.22 X272, 13.02/13.22 setadjoin( 13.02/13.22 X271,X272))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X273, 13.02/13.22 X274,X275]: 13.02/13.22 (subset( 13.02/13.22 X273,X275) => 13.02/13.22 subset( 13.02/13.22 X273, 13.02/13.22 setadjoin( 13.02/13.22 X274,X275)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X276, 13.02/13.22 X277]: 13.02/13.22 (subset( 13.02/13.22 X276,X277) => 13.02/13.22 in( 13.02/13.22 X276, 13.02/13.22 powerset( 13.02/13.22 X277)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X278, 13.02/13.22 X279]: 13.02/13.22 (subset( 13.02/13.22 X278,X279) => 13.02/13.22 (subset( 13.02/13.22 X279,X278) => 13.02/13.22 (X278 = 13.02/13.22 X279)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X280]: 13.02/13.22 (subset( 13.02/13.22 X280, 13.02/13.22 emptyset) => 13.02/13.22 (X280 = 13.02/13.22 emptyset))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X281, 13.02/13.22 X282]: 13.02/13.22 (subset( 13.02/13.22 X282,X281) => 13.02/13.22 in( 13.02/13.22 X282, 13.02/13.22 powerset( 13.02/13.22 X281)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X283, 13.02/13.22 X284]: 13.02/13.22 (in( 13.02/13.22 X284, 13.02/13.22 powerset( 13.02/13.22 X283)) => 13.02/13.22 subset( 13.02/13.22 X284,X283))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X285]: 13.02/13.22 in( 13.02/13.22 X285, 13.02/13.22 powerset( 13.02/13.22 X285))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X286, 13.02/13.22 X287]: 13.02/13.22 (subset( 13.02/13.22 X286,X287) => 13.02/13.22 subset( 13.02/13.22 powerset( 13.02/13.22 X286), 13.02/13.22 powerset( 13.02/13.22 X287)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X288, 13.02/13.22 X289:( 13.02/13.22 $i > $o)]: 13.02/13.22 in( 13.02/13.22 dsetconstr( 13.02/13.22 X288, 13.02/13.22 ^[V_13]: 13.02/13.22 X289( 13.02/13.22 V_13)), 13.02/13.22 powerset( 13.02/13.22 X288))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X290, 13.02/13.22 X291:( 13.02/13.22 $i > $o)]: 13.02/13.22 subset( 13.02/13.22 dsetconstr( 13.02/13.22 X290, 13.02/13.22 ^[V_14]: 13.02/13.22 X291( 13.02/13.22 V_14)), 13.02/13.22 X290)) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X292, 13.02/13.22 X293,X294]: 13.02/13.22 (in( 13.02/13.22 X294,X292) => 13.02/13.22 in( 13.02/13.22 X294, 13.02/13.22 binunion( 13.02/13.22 X292,X293)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X295, 13.02/13.22 X296]: 13.02/13.22 in( 13.02/13.22 X296, 13.02/13.22 setadjoin( 13.02/13.22 X295, 13.02/13.22 setadjoin( 13.02/13.22 X296, 13.02/13.22 emptyset)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X297, 13.02/13.22 X298,X299]: 13.02/13.22 (in( 13.02/13.22 X299,X298) => 13.02/13.22 in( 13.02/13.22 X299, 13.02/13.22 binunion( 13.02/13.22 X297,X298)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X300, 13.02/13.22 X301, 13.02/13.22 X302, 13.02/13.22 X303:$o]: 13.02/13.22 (in( 13.02/13.22 X302, 13.02/13.22 binunion( 13.02/13.22 X300,X301)) => 13.02/13.22 (( 13.02/13.22 in( 13.02/13.22 X302,X300) => 13.02/13.22 X303) => 13.02/13.22 (( 13.02/13.22 in( 13.02/13.22 X302,X301) => 13.02/13.22 X303) => 13.02/13.22 X303)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X304, 13.02/13.22 X305,X306]: 13.02/13.22 (in( 13.02/13.22 X306, 13.02/13.22 binunion( 13.02/13.22 X304,X305)) => 13.02/13.22 (in( 13.02/13.22 X306,X305) | 13.02/13.22 in( 13.02/13.22 X306,X304)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X307, 13.02/13.22 X308]: 13.02/13.22 subset( 13.02/13.22 X307, 13.02/13.22 binunion( 13.02/13.22 X307,X308))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X309, 13.02/13.22 X310]: 13.02/13.22 subset( 13.02/13.22 X310, 13.02/13.22 binunion( 13.02/13.22 X309,X310))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X311, 13.02/13.22 X312,X313]: 13.02/13.22 (in( 13.02/13.22 X313,X311) => 13.02/13.22 (in( 13.02/13.22 X313,X312) => 13.02/13.22 in( 13.02/13.22 X313, 13.02/13.22 binintersect( 13.02/13.22 X311,X312))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X314, 13.02/13.22 X315,X316]: 13.02/13.22 (subset( 13.02/13.22 X316,X314) => 13.02/13.22 (subset( 13.02/13.22 X316,X315) => 13.02/13.22 subset( 13.02/13.22 X316, 13.02/13.22 binintersect( 13.02/13.22 X314,X315))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X317, 13.02/13.22 X318,X319]: 13.02/13.22 (in( 13.02/13.22 X319, 13.02/13.22 binintersect( 13.02/13.22 X317,X318)) => 13.02/13.22 in( 13.02/13.22 X319,X317))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X320, 13.02/13.22 X321]: 13.02/13.22 subset( 13.02/13.22 binintersect( 13.02/13.22 X320,X321), 13.02/13.22 X320)) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X322, 13.02/13.22 X323]: 13.02/13.22 (subset( 13.02/13.22 X322,X323) => 13.02/13.22 (binintersect( 13.02/13.22 X322,X323) = 13.02/13.22 X322))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X324, 13.02/13.22 X325]: 13.02/13.22 (( 13.02/13.22 binintersect( 13.02/13.22 X324,X325) = 13.02/13.22 X325) => 13.02/13.22 subset( 13.02/13.22 X325,X324))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X326, 13.02/13.22 X327,X328]: 13.02/13.22 (in( 13.02/13.22 X328, 13.02/13.22 binintersect( 13.02/13.22 X326,X327)) => 13.02/13.22 in( 13.02/13.22 X328,X327))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X329, 13.02/13.22 X330]: 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 ( 13.02/13.22 ?[X331]: 13.02/13.22 (in( 13.02/13.22 X331,X330) & 13.02/13.22 in( 13.02/13.22 X331,X329)))) => 13.02/13.22 (binintersect( 13.02/13.22 X329,X330) = 13.02/13.22 emptyset))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X332, 13.02/13.22 X333]: 13.02/13.22 subset( 13.02/13.22 binintersect( 13.02/13.22 X332,X333), 13.02/13.22 X333)) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X334, 13.02/13.22 X335]: 13.02/13.22 (subset( 13.02/13.22 X335,X334) => 13.02/13.22 (binintersect( 13.02/13.22 X334,X335) = 13.02/13.22 X335))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X336, 13.02/13.22 X337]: 13.02/13.22 (( 13.02/13.22 binintersect( 13.02/13.22 X336,X337) = 13.02/13.22 X336) => 13.02/13.22 subset( 13.02/13.22 X336,X337))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X338, 13.02/13.22 X339,X340]: 13.02/13.22 (binintersect( 13.02/13.22 X338, 13.02/13.22 binunion( 13.02/13.22 X339,X340)) = 13.02/13.22 binunion( 13.02/13.22 binintersect( 13.02/13.22 X338,X339), 13.02/13.22 binintersect( 13.02/13.22 X338,X340)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X341, 13.02/13.22 X342,X343]: 13.02/13.22 (in( 13.02/13.22 X343,X341) => 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X343,X342)) => 13.02/13.22 in( 13.02/13.22 X343, 13.02/13.22 setminus( 13.02/13.22 X341,X342))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X344, 13.02/13.22 X345,X346]: 13.02/13.22 (in( 13.02/13.22 X346, 13.02/13.22 setminus( 13.02/13.22 X344,X345)) => 13.02/13.22 in( 13.02/13.22 X346,X344))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X347, 13.02/13.22 X348,X349]: 13.02/13.22 (in( 13.02/13.22 X349, 13.02/13.22 setminus( 13.02/13.22 X347,X348)) => 13.02/13.22 (~ 13.02/13.22 in( 13.02/13.22 X349,X348)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X350, 13.02/13.22 X351]: 13.02/13.22 (subset( 13.02/13.22 X350,X351) => 13.02/13.22 (setminus( 13.02/13.22 X350,X351) = 13.02/13.22 emptyset))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X352, 13.02/13.22 X353,X354]: 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X354, 13.02/13.22 setminus( 13.02/13.22 X352,X353))) => 13.02/13.22 (in( 13.02/13.22 X354,X352) => 13.02/13.22 in( 13.02/13.22 X354,X353)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X355, 13.02/13.22 X356,X357]: 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X357, 13.02/13.22 setminus( 13.02/13.22 X355,X356))) => 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X357,X356)) => 13.02/13.22 (~ 13.02/13.22 in( 13.02/13.22 X357,X355))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X358, 13.02/13.22 X359,X360]: 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X360,X358)) => 13.02/13.22 (~ 13.02/13.22 in( 13.02/13.22 X360, 13.02/13.22 setminus( 13.02/13.22 X358,X359))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X361, 13.02/13.22 X362,X363]: 13.02/13.22 (in( 13.02/13.22 X363,X362) => 13.02/13.22 (~ 13.02/13.22 in( 13.02/13.22 X363, 13.02/13.22 setminus( 13.02/13.22 X361,X362))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X364, 13.02/13.22 X365]: 13.02/13.22 subset( 13.02/13.22 setminus( 13.02/13.22 X364,X365), 13.02/13.22 X364)) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X366, 13.02/13.22 X367]: 13.02/13.22 (( 13.02/13.22 setminus( 13.02/13.22 X366,X367) = 13.02/13.22 emptyset) => 13.02/13.22 subset( 13.02/13.22 X366,X367))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X368, 13.02/13.22 X369,X370]: 13.02/13.22 (in( 13.02/13.22 X370, 13.02/13.22 symdiff( 13.02/13.22 X368,X369)) => 13.02/13.22 (![X371:$o]: 13.02/13.22 (( 13.02/13.22 in( 13.02/13.22 X370,X368) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X370,X369)) => 13.02/13.22 X371)) => 13.02/13.22 (( 13.02/13.22 ( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X370,X368)) => 13.02/13.22 ( 13.02/13.22 in( 13.02/13.22 X370,X369) => 13.02/13.22 X371)) => 13.02/13.22 X371))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X372, 13.02/13.22 X373,X374]: 13.02/13.22 (in( 13.02/13.22 X374,X372) => 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X374,X373)) => 13.02/13.22 in( 13.02/13.22 X374, 13.02/13.22 symdiff( 13.02/13.22 X372,X373))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X375, 13.02/13.22 X376,X377]: 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X377,X375)) => 13.02/13.22 (in( 13.02/13.22 X377,X376) => 13.02/13.22 in( 13.02/13.22 X377, 13.02/13.22 symdiff( 13.02/13.22 X375,X376))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X378, 13.02/13.22 X379,X380]: 13.02/13.22 (in( 13.02/13.22 X380,X378) => 13.02/13.22 (in( 13.02/13.22 X380,X379) => 13.02/13.22 (~ 13.02/13.22 in( 13.02/13.22 X380, 13.02/13.22 symdiff( 13.02/13.22 X378,X379)))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X381, 13.02/13.22 X382,X383]: 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X383,X381)) => 13.02/13.22 (( 13.02/13.22 ~ 13.02/13.22 in( 13.02/13.22 X383,X382)) => 13.02/13.22 (~ 13.02/13.22 in( 13.02/13.22 X383, 13.02/13.22 symdiff( 13.02/13.22 X381,X382)))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X384, 13.02/13.22 X385]: 13.02/13.22 in( 13.02/13.22 X385, 13.02/13.22 setadjoin( 13.02/13.22 X384, 13.02/13.22 setadjoin( 13.02/13.22 X385, 13.02/13.22 emptyset)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X386, 13.02/13.22 X387]: 13.02/13.22 in( 13.02/13.22 X386, 13.02/13.22 setunion( 13.02/13.22 setadjoin( 13.02/13.22 setadjoin( 13.02/13.22 X386, 13.02/13.22 emptyset), 13.02/13.22 setadjoin( 13.02/13.22 setadjoin( 13.02/13.22 X386, 13.02/13.22 setadjoin( 13.02/13.22 X387, 13.02/13.22 emptyset)), 13.02/13.22 emptyset))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X388, 13.02/13.22 X389]: 13.02/13.22 in( 13.02/13.22 X389, 13.02/13.22 setunion( 13.02/13.22 setadjoin( 13.02/13.22 setadjoin( 13.02/13.22 X388, 13.02/13.22 emptyset), 13.02/13.22 setadjoin( 13.02/13.22 setadjoin( 13.02/13.22 X388, 13.02/13.22 setadjoin( 13.02/13.22 X389, 13.02/13.22 emptyset)), 13.02/13.22 emptyset))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X390, 13.02/13.22 X391]: 13.02/13.22 iskpair( 13.02/13.22 setadjoin( 13.02/13.22 setadjoin( 13.02/13.22 X390, 13.02/13.22 emptyset), 13.02/13.22 setadjoin( 13.02/13.22 setadjoin( 13.02/13.22 X390, 13.02/13.22 setadjoin( 13.02/13.22 X391, 13.02/13.22 emptyset)), 13.02/13.22 emptyset)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X392, 13.02/13.22 X393]: 13.02/13.22 iskpair( 13.02/13.22 kpair( 13.02/13.22 X392,X393))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X394, 13.02/13.22 X395]: 13.02/13.22 (in( 13.02/13.22 X395,X394) => 13.02/13.22 subset( 13.02/13.22 setadjoin( 13.02/13.22 X395, 13.02/13.22 emptyset), 13.02/13.22 X394))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X396, 13.02/13.22 X397]: 13.02/13.22 (in( 13.02/13.22 X397,X396) => 13.02/13.22 in( 13.02/13.22 setadjoin( 13.02/13.22 X397, 13.02/13.22 emptyset), 13.02/13.22 powerset( 13.02/13.22 X396)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X398, 13.02/13.22 X399,X400]: 13.02/13.22 (in( 13.02/13.22 X400,X398) => 13.02/13.22 in( 13.02/13.22 setadjoin( 13.02/13.22 X400, 13.02/13.22 emptyset), 13.02/13.22 powerset( 13.02/13.22 binunion( 13.02/13.22 X398,X399))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X401, 13.02/13.22 X402,X403]: 13.02/13.22 (in( 13.02/13.22 X403, 13.02/13.22 setadjoin( 13.02/13.22 X401, 13.02/13.22 setadjoin( 13.02/13.22 X402, 13.02/13.22 emptyset))) => 13.02/13.22 (( 13.02/13.22 X403 = 13.02/13.22 X402) | 13.02/13.22 (X403 = 13.02/13.22 X401)))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X404, 13.02/13.22 X405,X406]: 13.02/13.22 (in( 13.02/13.22 X406,X404) => 13.02/13.22 (![X407]: 13.02/13.22 (in( 13.02/13.22 X407,X405) => 13.02/13.22 subset( 13.02/13.22 setadjoin( 13.02/13.22 X406, 13.02/13.22 setadjoin( 13.02/13.22 X407, 13.02/13.22 emptyset)), 13.02/13.22 binunion( 13.02/13.22 X404,X405)))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X408, 13.02/13.22 X409,X410]: 13.02/13.22 (in( 13.02/13.22 X410,X408) => 13.02/13.22 (![X411]: 13.02/13.22 (in( 13.02/13.22 X411,X409) => 13.02/13.22 in( 13.02/13.22 setadjoin( 13.02/13.22 X410, 13.02/13.22 setadjoin( 13.02/13.22 X411, 13.02/13.22 emptyset)), 13.02/13.22 powerset( 13.02/13.22 binunion( 13.02/13.22 X408,X409))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X412, 13.02/13.22 X413,X414]: 13.02/13.22 (in( 13.02/13.22 X414,X412) => 13.02/13.22 (![X415]: 13.02/13.22 (in( 13.02/13.22 X415,X413) => 13.02/13.22 subset( 13.02/13.22 setadjoin( 13.02/13.22 setadjoin( 13.02/13.22 X414, 13.02/13.22 emptyset), 13.02/13.22 setadjoin( 13.02/13.22 setadjoin( 13.02/13.22 X414, 13.02/13.22 setadjoin( 13.02/13.22 X415, 13.02/13.22 emptyset)), 13.02/13.22 emptyset)), 13.02/13.22 powerset( 13.02/13.22 binunion( 13.02/13.22 X412,X413))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X416, 13.02/13.22 X417,X418]: 13.02/13.22 (in( 13.02/13.22 X418,X416) => 13.02/13.22 (![X419]: 13.02/13.22 (in( 13.02/13.22 X419,X417) => 13.02/13.22 in( 13.02/13.22 setadjoin( 13.02/13.22 setadjoin( 13.02/13.22 X418, 13.02/13.22 emptyset), 13.02/13.22 setadjoin( 13.02/13.22 setadjoin( 13.02/13.22 X418, 13.02/13.22 setadjoin( 13.02/13.22 X419, 13.02/13.22 emptyset)), 13.02/13.22 emptyset)), 13.02/13.22 powerset( 13.02/13.22 powerset( 13.02/13.22 binunion( 13.02/13.22 X416,X417)))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X420, 13.02/13.22 X421,X422]: 13.02/13.22 (in( 13.02/13.22 X422,X420) => 13.02/13.22 (![X423]: 13.02/13.22 (in( 13.02/13.22 X423,X421) => 13.02/13.22 in( 13.02/13.22 kpair( 13.02/13.22 X422,X423), 13.02/13.22 powerset( 13.02/13.22 powerset( 13.02/13.22 binunion( 13.02/13.22 X420,X421)))))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X424, 13.02/13.22 X425,X426]: 13.02/13.22 (in( 13.02/13.22 X426,X424) => 13.02/13.22 (![X427]: 13.02/13.22 (in( 13.02/13.22 X427,X425) => 13.02/13.22 in( 13.02/13.22 kpair( 13.02/13.22 X426,X427), 13.02/13.22 cartprod( 13.02/13.22 X424,X425)))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X428, 13.02/13.22 X429,X430]: 13.02/13.22 (in( 13.02/13.22 X430, 13.02/13.22 cartprod( 13.02/13.22 X428,X429)) => 13.02/13.22 (?[X431]: 13.02/13.22 (( 13.02/13.22 ?[X432]: 13.02/13.22 (( 13.02/13.22 X430 = 13.02/13.22 kpair( 13.02/13.22 X431,X432)) & 13.02/13.22 in( 13.02/13.22 X432,X429))) & 13.02/13.22 in( 13.02/13.22 X431,X428))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X433, 13.02/13.22 X434,X435]: 13.02/13.22 (in( 13.02/13.22 X435, 13.02/13.22 cartprod( 13.02/13.22 X433,X434)) => 13.02/13.22 iskpair( 13.02/13.22 X435))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X436, 13.02/13.22 X437]: 13.02/13.22 (in( 13.02/13.22 X437, 13.02/13.22 setunion( 13.02/13.22 X436)) => 13.02/13.22 (?[X438]: 13.02/13.22 (in( 13.02/13.22 X437,X438) & 13.02/13.22 in( 13.02/13.22 X438,X436))))) => 13.02/13.22 ( 13.02/13.22 ( 13.02/13.22 ![X439]: 13.02/13.22 subset( 13.02/13.22 setunion( 13.02/13.22 setadjoin( 13.02/13.22 X439, 13.02/13.23 emptyset)), 13.02/13.23 X439)) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X440]: 13.02/13.23 subset( 13.02/13.23 X440, 13.02/13.23 setunion( 13.02/13.23 setadjoin( 13.02/13.23 X440, 13.02/13.23 emptyset)))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X441]: 13.02/13.23 (setunion( 13.02/13.23 setadjoin( 13.02/13.23 X441, 13.02/13.23 emptyset)) = 13.02/13.23 X441)) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X442, 13.02/13.23 X443:( 13.02/13.23 $i > $o)]: 13.02/13.23 (( 13.02/13.23 ![X444]: 13.02/13.23 (in( 13.02/13.23 X444,X442) => 13.02/13.23 (![X445]: 13.02/13.23 (in( 13.02/13.23 X445,X442) => 13.02/13.23 (X443( 13.02/13.23 X444) => 13.02/13.23 (X443( 13.02/13.23 X445) => 13.02/13.23 (X444 = 13.02/13.23 X445))))))) => 13.02/13.23 (( 13.02/13.23 ?[X446]: 13.02/13.23 (X443( 13.02/13.23 X446) & 13.02/13.23 in( 13.02/13.23 X446,X442))) => 13.02/13.23 singleton( 13.02/13.23 dsetconstr( 13.02/13.23 X442, 13.02/13.23 ^[V_15]: 13.02/13.23 X443( 13.02/13.23 V_15)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X447, 13.02/13.23 X448:( 13.02/13.23 $i > $o)]: 13.02/13.23 (ex1( 13.02/13.23 X447, 13.02/13.23 ^[V_16]: 13.02/13.23 X448( 13.02/13.23 V_16)) => 13.02/13.23 (?[X449]: 13.02/13.23 (X448( 13.02/13.23 X449) & 13.02/13.23 in( 13.02/13.23 X449,X447))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X450, 13.02/13.23 X451:( 13.02/13.23 $i > $o), 13.02/13.23 X452]: 13.02/13.23 (in( 13.02/13.23 X452,X450) => 13.02/13.23 (X451( 13.02/13.23 X452) => 13.02/13.23 (( 13.02/13.23 ![X453]: 13.02/13.23 (in( 13.02/13.23 X453,X450) => 13.02/13.23 (X451( 13.02/13.23 X453) => 13.02/13.23 (X453 = 13.02/13.23 X452)))) => 13.02/13.23 ex1( 13.02/13.23 X450, 13.02/13.23 ^[V_17]: 13.02/13.23 X451( 13.02/13.23 V_17)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X454, 13.02/13.23 X455:( 13.02/13.23 $i > $o)]: 13.02/13.23 (( 13.02/13.23 ![X456]: 13.02/13.23 (in( 13.02/13.23 X456,X454) => 13.02/13.23 (![X457]: 13.02/13.23 (in( 13.02/13.23 X457,X454) => 13.02/13.23 (X455( 13.02/13.23 X456) => 13.02/13.23 (X455( 13.02/13.23 X457) => 13.02/13.23 (X456 = 13.02/13.23 X457))))))) => 13.02/13.23 (( 13.02/13.23 ?[X458]: 13.02/13.23 (X455( 13.02/13.23 X458) & 13.02/13.23 in( 13.02/13.23 X458,X454))) => 13.02/13.23 ex1( 13.02/13.23 X454, 13.02/13.23 ^[V_18]: 13.02/13.23 X455( 13.02/13.23 V_18))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X459, 13.02/13.23 X460]: 13.02/13.23 (( 13.02/13.23 setadjoin( 13.02/13.23 X459, 13.02/13.23 emptyset) = 13.02/13.23 setadjoin( 13.02/13.23 X460, 13.02/13.23 emptyset)) => 13.02/13.23 (X459 = 13.02/13.23 X460))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X461, 13.02/13.23 X462,X463]: 13.02/13.23 (in( 13.02/13.23 setadjoin( 13.02/13.23 X463, 13.02/13.23 emptyset), 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X461, 13.02/13.23 emptyset), 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X461, 13.02/13.23 setadjoin( 13.02/13.23 X462, 13.02/13.23 emptyset)), 13.02/13.23 emptyset))) => 13.02/13.23 (X461 = 13.02/13.23 X463))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X464]: 13.02/13.23 (iskpair( 13.02/13.23 X464) => 13.02/13.23 singleton( 13.02/13.23 dsetconstr( 13.02/13.23 setunion( 13.02/13.23 X464), 13.02/13.23 ^[V_19]: 13.02/13.23 in( 13.02/13.23 setadjoin( 13.02/13.23 V_19, 13.02/13.23 emptyset), 13.02/13.23 X464))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X465]: 13.02/13.23 (singleton( 13.02/13.23 X465) => 13.02/13.23 in( 13.02/13.23 setunion( 13.02/13.23 X465), 13.02/13.23 X465))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X466, 13.02/13.23 X467]: 13.02/13.23 (kfst( 13.02/13.23 kpair( 13.02/13.23 X466,X467)) = 13.02/13.23 X466)) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X468, 13.02/13.23 X469,X470]: 13.02/13.23 (in( 13.02/13.23 X470, 13.02/13.23 cartprod( 13.02/13.23 X468,X469)) => 13.02/13.23 in( 13.02/13.23 kfst( 13.02/13.23 X470), 13.02/13.23 X468))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X471, 13.02/13.23 X472, 13.02/13.23 X473,X474]: 13.02/13.23 (( 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X471, 13.02/13.23 emptyset), 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X471, 13.02/13.23 setadjoin( 13.02/13.23 X472, 13.02/13.23 emptyset)), 13.02/13.23 emptyset)) = 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X473, 13.02/13.23 emptyset), 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X473, 13.02/13.23 setadjoin( 13.02/13.23 X474, 13.02/13.23 emptyset)), 13.02/13.23 emptyset))) => 13.02/13.23 (X471 = 13.02/13.23 X473))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X475, 13.02/13.23 X476, 13.02/13.23 X477,X478]: 13.02/13.23 (( 13.02/13.23 kpair( 13.02/13.23 X475,X476) = 13.02/13.23 kpair( 13.02/13.23 X477,X478)) => 13.02/13.23 (X475 = 13.02/13.23 X477))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X479, 13.02/13.23 X480]: 13.02/13.23 (( 13.02/13.23 X479 = 13.02/13.23 X480) => 13.02/13.23 (setadjoin( 13.02/13.23 X479, 13.02/13.23 setadjoin( 13.02/13.23 X480, 13.02/13.23 emptyset)) = 13.02/13.23 setadjoin( 13.02/13.23 X479, 13.02/13.23 emptyset)))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X481, 13.02/13.23 X482]: 13.02/13.23 (( 13.02/13.23 X481 = 13.02/13.23 X482) => 13.02/13.23 (setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X481, 13.02/13.23 emptyset), 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X481, 13.02/13.23 setadjoin( 13.02/13.23 X482, 13.02/13.23 emptyset)), 13.02/13.23 emptyset)) = 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X481, 13.02/13.23 emptyset), 13.02/13.23 emptyset)))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X483, 13.02/13.23 X484, 13.02/13.23 X485,X486]: 13.02/13.23 (( 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X483, 13.02/13.23 emptyset), 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X483, 13.02/13.23 setadjoin( 13.02/13.23 X484, 13.02/13.23 emptyset)), 13.02/13.23 emptyset)) = 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X485, 13.02/13.23 emptyset), 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X485, 13.02/13.23 setadjoin( 13.02/13.23 X486, 13.02/13.23 emptyset)), 13.02/13.23 emptyset))) => 13.02/13.23 (( 13.02/13.23 X485 = 13.02/13.23 X486) => 13.02/13.23 (X484 = 13.02/13.23 X486)))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X487, 13.02/13.23 X488,X489]: 13.02/13.23 (( 13.02/13.23 setadjoin( 13.02/13.23 X487, 13.02/13.23 setadjoin( 13.02/13.23 X488, 13.02/13.23 emptyset)) = 13.02/13.23 setadjoin( 13.02/13.23 X489, 13.02/13.23 emptyset)) => 13.02/13.23 (X487 = 13.02/13.23 X488))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X490, 13.02/13.23 X491, 13.02/13.23 X492,X493]: 13.02/13.23 (( 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X490, 13.02/13.23 emptyset), 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X490, 13.02/13.23 setadjoin( 13.02/13.23 X491, 13.02/13.23 emptyset)), 13.02/13.23 emptyset)) = 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X492, 13.02/13.23 emptyset), 13.02/13.23 setadjoin( 13.02/13.23 setadjoin( 13.02/13.23 X492, 13.02/13.23 setadjoin( 13.02/13.23 X493, 13.02/13.23 emptyset)), 13.02/13.23 emptyset))) => 13.02/13.23 (X491 = 13.02/13.23 X493))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X494, 13.02/13.23 X495, 13.02/13.23 X496,X497]: 13.02/13.23 (( 13.02/13.23 kpair( 13.02/13.23 X494,X495) = 13.02/13.23 kpair( 13.02/13.23 X496,X497)) => 13.02/13.23 (X495 = 13.02/13.23 X497))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X498]: 13.02/13.23 (iskpair( 13.02/13.23 X498) => 13.02/13.23 singleton( 13.02/13.23 dsetconstr( 13.02/13.23 setunion( 13.02/13.23 X498), 13.02/13.23 ^[V_20]: 13.02/13.23 (X498 = 13.02/13.23 kpair( 13.02/13.23 kfst( 13.02/13.23 X498), 13.02/13.23 V_20)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X499, 13.02/13.23 X500]: 13.02/13.23 (ksnd( 13.02/13.23 kpair( 13.02/13.23 X499,X500)) = 13.02/13.23 X500)) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X501]: 13.02/13.23 (iskpair( 13.02/13.23 X501) => 13.02/13.23 (kpair( 13.02/13.23 kfst( 13.02/13.23 X501), 13.02/13.23 ksnd( 13.02/13.23 X501)) = 13.02/13.23 X501))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X502, 13.02/13.23 X503,X504]: 13.02/13.23 (in( 13.02/13.23 X504, 13.02/13.23 cartprod( 13.02/13.23 X502,X503)) => 13.02/13.23 in( 13.02/13.23 ksnd( 13.02/13.23 X504), 13.02/13.23 X503))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X505, 13.02/13.23 X506, 13.02/13.23 X507,X508]: 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X507,X508), 13.02/13.23 cartprod( 13.02/13.23 X505,X506)) => 13.02/13.23 in( 13.02/13.23 X507,X505))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X509, 13.02/13.23 X510, 13.02/13.23 X511,X512]: 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X511,X512), 13.02/13.23 cartprod( 13.02/13.23 X509,X510)) => 13.02/13.23 in( 13.02/13.23 X512,X510))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X513, 13.02/13.23 X514,X515]: 13.02/13.23 (in( 13.02/13.23 X515,X513) => 13.02/13.23 (![X516]: 13.02/13.23 (in( 13.02/13.23 X516,X514) => 13.02/13.23 (kpair( 13.02/13.23 X515,X516) = 13.02/13.23 kpair( 13.02/13.23 X515,X516)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X517, 13.02/13.23 X518,X519]: 13.02/13.23 (in( 13.02/13.23 X519,X517) => 13.02/13.23 (![X520]: 13.02/13.23 (in( 13.02/13.23 X520,X518) => 13.02/13.23 (kfst( 13.02/13.23 kpair( 13.02/13.23 X519,X520)) = 13.02/13.23 X519))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X521, 13.02/13.23 X522,X523]: 13.02/13.23 (in( 13.02/13.23 X523,X521) => 13.02/13.23 (![X524]: 13.02/13.23 (in( 13.02/13.23 X524,X522) => 13.02/13.23 (ksnd( 13.02/13.23 kpair( 13.02/13.23 X523,X524)) = 13.02/13.23 X524))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X525, 13.02/13.23 X526,X527]: 13.02/13.23 (in( 13.02/13.23 X527, 13.02/13.23 cartprod( 13.02/13.23 X525,X526)) => 13.02/13.23 (kpair( 13.02/13.23 kfst( 13.02/13.23 X527), 13.02/13.23 ksnd( 13.02/13.23 X527)) = 13.02/13.23 X527))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X528, 13.02/13.23 X529, 13.02/13.23 X530:( 13.02/13.23 ($i * $i) > 13.02/13.23 $o),X531]: 13.02/13.23 (in( 13.02/13.23 X531,X528) => 13.02/13.23 (![X532]: 13.02/13.23 (in( 13.02/13.23 X532,X529) => 13.02/13.23 (X530( 13.02/13.23 X531,X532) => 13.02/13.23 in( 13.02/13.23 kpair( 13.02/13.23 X531,X532), 13.02/13.23 dpsetconstr( 13.02/13.23 X528, 13.02/13.23 X529, 13.02/13.23 ^[V_21, 13.02/13.23 V_22]: 13.02/13.23 X530( 13.02/13.23 V_21,V_22)))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X533, 13.02/13.23 X534, 13.02/13.23 X535:( 13.02/13.23 ($i * $i) > 13.02/13.23 $o)]: 13.02/13.23 subset( 13.02/13.23 dpsetconstr( 13.02/13.23 X533, 13.02/13.23 X534, 13.02/13.23 ^[V_23, 13.02/13.23 V_24]: 13.02/13.23 X535( 13.02/13.23 V_23,V_24)), 13.02/13.23 cartprod( 13.02/13.23 X533,X534))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X536, 13.02/13.23 X537, 13.02/13.23 X538:( 13.02/13.23 ($i * $i) > 13.02/13.23 $o)]: 13.02/13.23 subset( 13.02/13.23 dpsetconstr( 13.02/13.23 X536, 13.02/13.23 X537, 13.02/13.23 ^[V_25, 13.02/13.23 V_26]: 13.02/13.23 X538( 13.02/13.23 V_25,V_26)), 13.02/13.23 cartprod( 13.02/13.23 X536,X537))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X539, 13.02/13.23 X540, 13.02/13.23 X541:( 13.02/13.23 ($i * $i) > 13.02/13.23 $o),X542]: 13.02/13.23 (in( 13.02/13.23 X542,X539) => 13.02/13.23 (![X543]: 13.02/13.23 (in( 13.02/13.23 X543,X540) => 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X542,X543), 13.02/13.23 dpsetconstr( 13.02/13.23 X539, 13.02/13.23 X540, 13.02/13.23 ^[V_27, 13.02/13.23 V_28]: 13.02/13.23 X541( 13.02/13.23 V_27,V_28))) => 13.02/13.23 X541( 13.02/13.23 X542,X543)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X544, 13.02/13.23 X545, 13.02/13.23 X546:( 13.02/13.23 ($i * $i) > 13.02/13.23 $o),X547, 13.02/13.23 X548]: 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X547,X548), 13.02/13.23 dpsetconstr( 13.02/13.23 X544, 13.02/13.23 X545, 13.02/13.23 ^[V_29, 13.02/13.23 V_30]: 13.02/13.23 X546( 13.02/13.23 V_29,V_30))) => 13.02/13.23 in( 13.02/13.23 X547,X544))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X549, 13.02/13.23 X550, 13.02/13.23 X551:( 13.02/13.23 ($i * $i) > 13.02/13.23 $o),X552, 13.02/13.23 X553]: 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X552,X553), 13.02/13.23 dpsetconstr( 13.02/13.23 X549, 13.02/13.23 X550, 13.02/13.23 ^[V_31, 13.02/13.23 V_32]: 13.02/13.23 X551( 13.02/13.23 V_31,V_32))) => 13.02/13.23 in( 13.02/13.23 X553,X550))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X554, 13.02/13.23 X555, 13.02/13.23 X556:( 13.02/13.23 ($i * $i) > 13.02/13.23 $o),X557, 13.02/13.23 X558]: 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X557,X558), 13.02/13.23 dpsetconstr( 13.02/13.23 X554, 13.02/13.23 X555, 13.02/13.23 ^[V_33, 13.02/13.23 V_34]: 13.02/13.23 X556( 13.02/13.23 V_33,V_34))) => 13.02/13.23 X556( 13.02/13.23 X557,X558))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X559, 13.02/13.23 X560,X561]: 13.02/13.23 (func( 13.02/13.23 X559, 13.02/13.23 X560,X561) => 13.02/13.23 (![X562]: 13.02/13.23 (in( 13.02/13.23 X562,X559) => 13.02/13.23 singleton( 13.02/13.23 dsetconstr( 13.02/13.23 X560, 13.02/13.23 ^[V_35]: 13.02/13.23 in( 13.02/13.23 kpair( 13.02/13.23 X562,V_35), 13.02/13.23 X561))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X563, 13.02/13.23 X564,X565]: 13.02/13.23 (func( 13.02/13.23 X563, 13.02/13.23 X564,X565) => 13.02/13.23 (![X566]: 13.02/13.23 (in( 13.02/13.23 X566,X563) => 13.02/13.23 in( 13.02/13.23 setunion( 13.02/13.23 dsetconstr( 13.02/13.23 X564, 13.02/13.23 ^[V_36]: 13.02/13.23 in( 13.02/13.23 kpair( 13.02/13.23 X566,V_36), 13.02/13.23 X565))), 13.02/13.23 X564))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X567, 13.02/13.23 X568,X569]: 13.02/13.23 (func( 13.02/13.23 X567, 13.02/13.23 X568,X569) => 13.02/13.23 (![X570]: 13.02/13.23 (in( 13.02/13.23 X570,X567) => 13.02/13.23 in( 13.02/13.23 ap( 13.02/13.23 X567, 13.02/13.23 X568, 13.02/13.23 X569,X570), 13.02/13.23 X568))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X571, 13.02/13.23 X572,X573]: 13.02/13.23 (in( 13.02/13.23 X573, 13.02/13.23 funcSet( 13.02/13.23 X571,X572)) => 13.02/13.23 func( 13.02/13.23 X571, 13.02/13.23 X572,X573))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X574, 13.02/13.23 X575,X576]: 13.02/13.23 (in( 13.02/13.23 X576, 13.02/13.23 funcSet( 13.02/13.23 X574,X575)) => 13.02/13.23 (![X577]: 13.02/13.23 (in( 13.02/13.23 X577,X574) => 13.02/13.23 in( 13.02/13.23 ap( 13.02/13.23 X574, 13.02/13.23 X575, 13.02/13.23 X576,X577), 13.02/13.23 X575))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X578, 13.02/13.23 X579,X580]: 13.02/13.23 (func( 13.02/13.23 X578, 13.02/13.23 X579,X580) => 13.02/13.23 in( 13.02/13.23 X580, 13.02/13.23 funcSet( 13.02/13.23 X578,X579)))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X581, 13.02/13.23 X582, 13.02/13.23 X583:( 13.02/13.23 $i > $i)]: 13.02/13.23 (( 13.02/13.23 ![X584]: 13.02/13.23 (in( 13.02/13.23 X584,X581) => 13.02/13.23 in( 13.02/13.23 X583( 13.02/13.23 X584), 13.02/13.23 X582))) => 13.02/13.23 func( 13.02/13.23 X581, 13.02/13.23 X582, 13.02/13.23 dpsetconstr( 13.02/13.23 X581, 13.02/13.23 X582, 13.02/13.23 ^[V_37, 13.02/13.23 V_38]: 13.02/13.23 (X583( 13.02/13.23 V_37) = 13.02/13.23 V_38))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X585, 13.02/13.23 X586, 13.02/13.23 X587:( 13.02/13.23 $i > $i)]: 13.02/13.23 (( 13.02/13.23 ![X588]: 13.02/13.23 (in( 13.02/13.23 X588,X585) => 13.02/13.23 in( 13.02/13.23 X587( 13.02/13.23 X588), 13.02/13.23 X586))) => 13.02/13.23 func( 13.02/13.23 X585, 13.02/13.23 X586, 13.02/13.23 lam( 13.02/13.23 X585, 13.02/13.23 X586, 13.02/13.23 ^[V_39]: 13.02/13.23 X587( 13.02/13.23 V_39))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X589, 13.02/13.23 X590, 13.02/13.23 X591:( 13.02/13.23 $i > $i)]: 13.02/13.23 (( 13.02/13.23 ![X592]: 13.02/13.23 (in( 13.02/13.23 X592,X589) => 13.02/13.23 in( 13.02/13.23 X591( 13.02/13.23 X592), 13.02/13.23 X590))) => 13.02/13.23 in( 13.02/13.23 lam( 13.02/13.23 X589, 13.02/13.23 X590, 13.02/13.23 ^[V_40]: 13.02/13.23 X591( 13.02/13.23 V_40)), 13.02/13.23 funcSet( 13.02/13.23 X589,X590)))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X593, 13.02/13.23 X594,X595]: 13.02/13.23 (subset( 13.02/13.23 X595, 13.02/13.23 cartprod( 13.02/13.23 X593,X594)) => 13.02/13.23 (![X596:( 13.02/13.23 $i > $o)]: 13.02/13.23 (( 13.02/13.23 ![X597]: 13.02/13.23 (in( 13.02/13.23 X597,X593) => 13.02/13.23 (![X598]: 13.02/13.23 (in( 13.02/13.23 X598,X594) => 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X597,X598), 13.02/13.23 X595) => 13.02/13.23 X596( 13.02/13.23 kpair( 13.02/13.23 X597,X598))))))) => 13.02/13.23 (![X599]: 13.02/13.23 (in( 13.02/13.23 X599,X595) => 13.02/13.23 X596( 13.02/13.23 X599))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X600, 13.02/13.23 X601,X602]: 13.02/13.23 (subset( 13.02/13.23 X602, 13.02/13.23 cartprod( 13.02/13.23 X600,X601)) => 13.02/13.23 (![X603:( 13.02/13.23 $i > $o)]: 13.02/13.23 (( 13.02/13.23 ![X604]: 13.02/13.23 (in( 13.02/13.23 X604,X600) => 13.02/13.23 (![X605]: 13.02/13.23 (in( 13.02/13.23 X605,X601) => 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X604,X605), 13.02/13.23 X602) => 13.02/13.23 X603( 13.02/13.23 kpair( 13.02/13.23 X604,X605))))))) => 13.02/13.23 (![X606]: 13.02/13.23 (in( 13.02/13.23 X606,X602) => 13.02/13.23 X603( 13.02/13.23 X606))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X607, 13.02/13.23 X608:( 13.02/13.23 $i > $o)]: 13.02/13.23 (ex1( 13.02/13.23 X607, 13.02/13.23 ^[V_41]: 13.02/13.23 X608( 13.02/13.23 V_41)) => 13.02/13.23 (![X609]: 13.02/13.23 (in( 13.02/13.23 X609,X607) => 13.02/13.23 (![X610]: 13.02/13.23 (in( 13.02/13.23 X610,X607) => 13.02/13.23 (X608( 13.02/13.23 X609) => 13.02/13.23 (X608( 13.02/13.23 X610) => 13.02/13.23 (X609 = 13.02/13.23 X610))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X611, 13.02/13.23 X612,X613]: 13.02/13.23 (func( 13.02/13.23 X611, 13.02/13.23 X612,X613) => 13.02/13.23 (![X614]: 13.02/13.23 (in( 13.02/13.23 X614,X611) => 13.02/13.23 in( 13.02/13.23 kpair( 13.02/13.23 X614, 13.02/13.23 ap( 13.02/13.23 X611, 13.02/13.23 X612, 13.02/13.23 X613,X614)), 13.02/13.23 X613))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X615, 13.02/13.23 X616,X617]: 13.02/13.23 (in( 13.02/13.23 X617, 13.02/13.23 funcSet( 13.02/13.23 X615,X616)) => 13.02/13.23 (![X618]: 13.02/13.23 (in( 13.02/13.23 X618,X615) => 13.02/13.23 in( 13.02/13.23 kpair( 13.02/13.23 X618, 13.02/13.23 ap( 13.02/13.23 X615, 13.02/13.23 X616, 13.02/13.23 X617,X618)), 13.02/13.23 X617))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X619, 13.02/13.23 X620,X621]: 13.02/13.23 (func( 13.02/13.23 X619, 13.02/13.23 X620,X621) => 13.02/13.23 (![X622]: 13.02/13.23 (in( 13.02/13.23 X622,X619) => 13.02/13.23 (![X623]: 13.02/13.23 (in( 13.02/13.23 X623,X620) => 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X622,X623), 13.02/13.23 X621) => 13.02/13.23 (ap( 13.02/13.23 X619, 13.02/13.23 X620, 13.02/13.23 X621,X622) = 13.02/13.23 X623)))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X624, 13.02/13.23 X625,X626]: 13.02/13.23 (func( 13.02/13.23 X624, 13.02/13.23 X625,X626) => 13.02/13.23 (![X627]: 13.02/13.23 (func( 13.02/13.23 X624, 13.02/13.23 X625,X627) => 13.02/13.23 (( 13.02/13.23 ![X628]: 13.02/13.23 (in( 13.02/13.23 X628,X624) => 13.02/13.23 (ap( 13.02/13.23 X624, 13.02/13.23 X625, 13.02/13.23 X626,X628) = 13.02/13.23 ap( 13.02/13.23 X624, 13.02/13.23 X625, 13.02/13.23 X627,X628)))) => 13.02/13.23 (![X629]: 13.02/13.23 (in( 13.02/13.23 X629,X624) => 13.02/13.23 (![X630]: 13.02/13.23 (in( 13.02/13.23 X630,X625) => 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X629,X630), 13.02/13.23 X627) => 13.02/13.23 in( 13.02/13.23 kpair( 13.02/13.23 X629,X630), 13.02/13.23 X626))))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X631, 13.02/13.23 X632,X633]: 13.02/13.23 (in( 13.02/13.23 X633, 13.02/13.23 funcSet( 13.02/13.23 X631,X632)) => 13.02/13.23 (![X634]: 13.02/13.23 (in( 13.02/13.23 X634,X631) => 13.02/13.23 (![X635]: 13.02/13.23 (in( 13.02/13.23 X635,X632) => 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X634,X635), 13.02/13.23 X633) => 13.02/13.23 (ap( 13.02/13.23 X631, 13.02/13.23 X632, 13.02/13.23 X633,X634) = 13.02/13.23 X635)))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X636, 13.02/13.23 X637,X638]: 13.02/13.23 (subset( 13.02/13.23 X638, 13.02/13.23 cartprod( 13.02/13.23 X636,X637)) => 13.02/13.23 (![X639]: 13.02/13.23 (subset( 13.02/13.23 X639, 13.02/13.23 cartprod( 13.02/13.23 X636,X637)) => 13.02/13.23 (( 13.02/13.23 ![X640]: 13.02/13.23 (in( 13.02/13.23 X640,X636) => 13.02/13.23 (![X641]: 13.02/13.23 (in( 13.02/13.23 X641,X637) => 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X640,X641), 13.02/13.23 X638) => 13.02/13.23 in( 13.02/13.23 kpair( 13.02/13.23 X640,X641), 13.02/13.23 X639)))))) => 13.02/13.23 subset( 13.02/13.23 X638,X639)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X642, 13.02/13.23 X643,X644]: 13.02/13.23 (subset( 13.02/13.23 X644, 13.02/13.23 cartprod( 13.02/13.23 X642,X643)) => 13.02/13.23 (![X645]: 13.02/13.23 (subset( 13.02/13.23 X645, 13.02/13.23 cartprod( 13.02/13.23 X642,X643)) => 13.02/13.23 (( 13.02/13.23 ![X646]: 13.02/13.23 (in( 13.02/13.23 X646,X642) => 13.02/13.23 (![X647]: 13.02/13.23 (in( 13.02/13.23 X647,X643) => 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X646,X647), 13.02/13.23 X644) => 13.02/13.23 in( 13.02/13.23 kpair( 13.02/13.23 X646,X647), 13.02/13.23 X645)))))) => 13.02/13.23 (( 13.02/13.23 ![X648]: 13.02/13.23 (in( 13.02/13.23 X648,X642) => 13.02/13.23 (![X649]: 13.02/13.23 (in( 13.02/13.23 X649,X643) => 13.02/13.23 (in( 13.02/13.23 kpair( 13.02/13.23 X648,X649), 13.02/13.23 X645) => 13.02/13.23 in( 13.02/13.23 kpair( 13.02/13.23 X648,X649), 13.02/13.23 X644)))))) => 13.02/13.23 (X644 = 13.02/13.23 X645))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X650, 13.02/13.23 X651,X652]: 13.02/13.23 (func( 13.02/13.23 X650, 13.02/13.23 X651,X652) => 13.02/13.23 (![X653]: 13.02/13.23 (func( 13.02/13.23 X650, 13.02/13.23 X651,X653) => 13.02/13.23 (( 13.02/13.23 ![X654]: 13.02/13.23 (in( 13.02/13.23 X654,X650) => 13.02/13.23 (ap( 13.02/13.23 X650, 13.02/13.23 X651, 13.02/13.23 X652,X654) = 13.02/13.23 ap( 13.02/13.23 X650, 13.02/13.23 X651, 13.02/13.23 X653,X654)))) => 13.02/13.23 (X652 = 13.02/13.23 X653)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X655, 13.02/13.23 X656,X657]: 13.02/13.23 (in( 13.02/13.23 X657, 13.02/13.23 funcSet( 13.02/13.23 X655,X656)) => 13.02/13.23 (![X658]: 13.02/13.23 (in( 13.02/13.23 X658, 13.02/13.23 funcSet( 13.02/13.23 X655,X656)) => 13.02/13.23 (( 13.02/13.23 ![X659]: 13.02/13.23 (in( 13.02/13.23 X659,X655) => 13.02/13.23 (ap( 13.02/13.23 X655, 13.02/13.23 X656, 13.02/13.23 X657,X659) = 13.02/13.23 ap( 13.02/13.23 X655, 13.02/13.23 X656, 13.02/13.23 X658,X659)))) => 13.02/13.23 (X657 = 13.02/13.23 X658)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X660, 13.02/13.23 X661,X662]: 13.02/13.23 (in( 13.02/13.23 X662, 13.02/13.23 funcSet( 13.02/13.23 X660,X661)) => 13.02/13.23 (![X663]: 13.02/13.23 (in( 13.02/13.23 X663,X660) => 13.02/13.23 (ap( 13.02/13.23 X660, 13.02/13.23 X661, 13.02/13.23 X662,X663) = 13.02/13.23 ap( 13.02/13.23 X660, 13.02/13.23 X661, 13.02/13.23 X662,X663)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X664, 13.02/13.23 X665,X666]: 13.02/13.23 (func( 13.02/13.23 X664, 13.02/13.23 X665,X666) => 13.02/13.23 (![X667]: 13.02/13.23 (in( 13.02/13.23 X667,X664) => 13.02/13.23 (ap( 13.02/13.23 X664, 13.02/13.23 X665, 13.02/13.23 X666,X667) = 13.02/13.23 ap( 13.02/13.23 X664, 13.02/13.23 X665, 13.02/13.23 X666,X667)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X668, 13.02/13.23 X669, 13.02/13.23 X670:( 13.02/13.23 $i > $i)]: 13.02/13.23 (( 13.02/13.23 ![X671]: 13.02/13.23 (in( 13.02/13.23 X671,X668) => 13.02/13.23 in( 13.02/13.23 X670( 13.02/13.23 X671), 13.02/13.23 X669))) => 13.02/13.23 (![X672]: 13.02/13.23 (in( 13.02/13.23 X672,X668) => 13.02/13.23 (ap( 13.02/13.23 X668, 13.02/13.23 X669, 13.02/13.23 lam( 13.02/13.23 X668, 13.02/13.23 X669, 13.02/13.23 ^[V_42]: 13.02/13.23 X670( 13.02/13.23 V_42)), 13.02/13.23 X672) = 13.02/13.23 X670( 13.02/13.23 X672)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X673, 13.02/13.23 X674,X675]: 13.02/13.23 (func( 13.02/13.23 X673, 13.02/13.23 X674,X675) => 13.02/13.23 (lam( 13.02/13.23 X673, 13.02/13.23 X674, 13.02/13.23 ^[V_43]: 13.02/13.23 ap( 13.02/13.23 X673, 13.02/13.23 X674, 13.02/13.23 X675,V_43)) = 13.02/13.23 X675))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X676, 13.02/13.23 X677, 13.02/13.23 X678:( 13.02/13.23 $i > $i)]: 13.02/13.23 (( 13.02/13.23 ![X679]: 13.02/13.23 (in( 13.02/13.23 X679,X676) => 13.02/13.23 in( 13.02/13.23 X678( 13.02/13.23 X679), 13.02/13.23 X677))) => 13.02/13.23 (lam( 13.02/13.23 X676, 13.02/13.23 X677, 13.02/13.23 ^[V_44]: 13.02/13.23 X678( 13.02/13.23 V_44)) = 13.02/13.23 lam( 13.02/13.23 X676, 13.02/13.23 X677, 13.02/13.23 ^[V_45]: 13.02/13.23 X678( 13.02/13.23 V_45))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X680, 13.02/13.23 X681, 13.02/13.23 X682:( 13.02/13.23 $i > $i)]: 13.02/13.23 (( 13.02/13.23 ![X683]: 13.02/13.23 (in( 13.02/13.23 X683,X680) => 13.02/13.23 in( 13.02/13.23 X682( 13.02/13.23 X683), 13.02/13.23 X681))) => 13.02/13.23 (![X684]: 13.02/13.23 (in( 13.02/13.23 X684,X680) => 13.02/13.23 (ap( 13.02/13.23 X680, 13.02/13.23 X681, 13.02/13.23 lam( 13.02/13.23 X680, 13.02/13.23 X681, 13.02/13.23 ^[V_46]: 13.02/13.23 X682( 13.02/13.23 V_46)), 13.02/13.23 X684) = 13.02/13.23 X682( 13.02/13.23 X684)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X685, 13.02/13.23 X686,X687]: 13.02/13.23 (in( 13.02/13.23 X687, 13.02/13.23 funcSet( 13.02/13.23 X685,X686)) => 13.02/13.23 (lam( 13.02/13.23 X685, 13.02/13.23 X686, 13.02/13.23 ^[V_47]: 13.02/13.23 ap( 13.02/13.23 X685, 13.02/13.23 X686, 13.02/13.23 X687,V_47)) = 13.02/13.23 X687))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X688, 13.02/13.23 X689:$o, 13.02/13.23 X690]: 13.02/13.23 (in( 13.02/13.23 X690,X688) => 13.02/13.23 (![X691]: 13.02/13.23 (in( 13.02/13.23 X691,X688) => 13.02/13.23 (( 13.02/13.23 ~X689) => 13.02/13.23 in( 13.02/13.23 X691, 13.02/13.23 dsetconstr( 13.02/13.23 X688, 13.02/13.23 ^[V_48]: 13.02/13.23 (( 13.02/13.23 X689 & 13.02/13.23 ( 13.02/13.23 V_48 = 13.02/13.23 X690)) | 13.02/13.23 (( 13.02/13.23 ~X689) & 13.02/13.23 (V_48 = 13.02/13.23 X691)))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X692, 13.02/13.23 X693:$o, 13.02/13.23 X694]: 13.02/13.23 (in( 13.02/13.23 X694,X692) => 13.02/13.23 (![X695]: 13.02/13.23 (in( 13.02/13.23 X695,X692) => 13.02/13.23 (( 13.02/13.23 ~X693) => 13.02/13.23 (dsetconstr( 13.02/13.23 X692, 13.02/13.23 ^[V_49]: 13.02/13.23 (( 13.02/13.23 X693 & 13.02/13.23 ( 13.02/13.23 V_49 = 13.02/13.23 X694)) | 13.02/13.23 (( 13.02/13.23 ~X693) & 13.02/13.23 (V_49 = 13.02/13.23 X695)))) = 13.02/13.23 setadjoin( 13.02/13.23 X695, 13.02/13.23 emptyset))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X696, 13.02/13.23 X697:$o, 13.02/13.23 X698]: 13.02/13.23 (in( 13.02/13.23 X698,X696) => 13.02/13.23 (![X699]: 13.02/13.23 (in( 13.02/13.23 X699,X696) => 13.02/13.23 (X697 => 13.02/13.23 in( 13.02/13.23 X698, 13.02/13.23 dsetconstr( 13.02/13.23 X696, 13.02/13.23 ^[V_50]: 13.02/13.23 (( 13.02/13.23 X697 & 13.02/13.23 ( 13.02/13.23 V_50 = 13.02/13.23 X698)) | 13.02/13.23 (( 13.02/13.23 ~X697) & 13.02/13.23 (V_50 = 13.02/13.23 X699)))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X700, 13.02/13.23 X701:$o, 13.02/13.23 X702]: 13.02/13.23 (in( 13.02/13.23 X702,X700) => 13.02/13.23 (![X703]: 13.02/13.23 (in( 13.02/13.23 X703,X700) => 13.02/13.23 (X701 => 13.02/13.23 (dsetconstr( 13.02/13.23 X700, 13.02/13.23 ^[V_51]: 13.02/13.23 (( 13.02/13.23 X701 & 13.02/13.23 ( 13.02/13.23 V_51 = 13.02/13.23 X702)) | 13.02/13.23 (( 13.02/13.23 ~X701) & 13.02/13.23 (V_51 = 13.02/13.23 X703)))) = 13.02/13.23 setadjoin( 13.02/13.23 X702, 13.02/13.23 emptyset))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X704, 13.02/13.23 X705:$o, 13.02/13.23 X706]: 13.02/13.23 (in( 13.02/13.23 X706,X704) => 13.02/13.23 (![X707]: 13.02/13.23 (in( 13.02/13.23 X707,X704) => 13.02/13.23 singleton( 13.02/13.23 dsetconstr( 13.02/13.23 X704, 13.02/13.23 ^[V_52]: 13.02/13.23 (( 13.02/13.23 X705 & 13.02/13.23 ( 13.02/13.23 V_52 = 13.02/13.23 X706)) | 13.02/13.23 (( 13.02/13.23 ~X705) & 13.02/13.23 (V_52 = 13.02/13.23 X707))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X708, 13.02/13.23 X709:$o, 13.02/13.23 X710]: 13.02/13.23 (in( 13.02/13.23 X710,X708) => 13.02/13.23 (![X711]: 13.02/13.23 (in( 13.02/13.23 X711,X708) => 13.02/13.23 in( 13.02/13.23 if( 13.02/13.23 X708, 13.02/13.23 X709, 13.02/13.23 X710,X711), 13.02/13.23 X708))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X712]: 13.02/13.23 (singleton( 13.02/13.23 X712) => 13.02/13.23 (![X713]: 13.02/13.23 (in( 13.02/13.23 X713,X712) => 13.02/13.23 (setunion( 13.02/13.23 X712) = 13.02/13.23 X713))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X714, 13.02/13.23 X715:$o, 13.02/13.23 X716]: 13.02/13.23 (in( 13.02/13.23 X716,X714) => 13.02/13.23 (![X717]: 13.02/13.23 (in( 13.02/13.23 X717,X714) => 13.02/13.23 (X715 => 13.02/13.23 (if( 13.02/13.23 X714, 13.02/13.23 X715, 13.02/13.23 X716,X717) = 13.02/13.23 X716)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X718, 13.02/13.23 X719:$o, 13.02/13.23 X720]: 13.02/13.23 (in( 13.02/13.23 X720,X718) => 13.02/13.23 (![X721]: 13.02/13.23 (in( 13.02/13.23 X721,X718) => 13.02/13.23 (( 13.02/13.23 ~X719) => 13.02/13.23 (if( 13.02/13.23 X718, 13.02/13.23 X719, 13.02/13.23 X720,X721) = 13.02/13.23 X721)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X722, 13.02/13.23 X723:$o, 13.02/13.23 X724]: 13.02/13.23 (in( 13.02/13.23 X724,X722) => 13.02/13.23 (![X725]: 13.02/13.23 (in( 13.02/13.23 X725,X722) => 13.02/13.23 in( 13.02/13.23 if( 13.02/13.23 X722, 13.02/13.23 X723, 13.02/13.23 X724,X725), 13.02/13.23 setadjoin( 13.02/13.23 X724, 13.02/13.23 setadjoin( 13.02/13.23 X725, 13.02/13.23 emptyset))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X726, 13.02/13.23 X727]: 13.02/13.23 (in( 13.02/13.23 X727, 13.02/13.23 powerset( 13.02/13.23 X726)) => 13.02/13.23 (![X728]: 13.02/13.23 (in( 13.02/13.23 X728, 13.02/13.23 powerset( 13.02/13.23 X726)) => 13.02/13.23 in( 13.02/13.23 binintersect( 13.02/13.23 X727,X728), 13.02/13.23 powerset( 13.02/13.23 X726)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X729, 13.02/13.23 X730]: 13.02/13.23 (in( 13.02/13.23 X730, 13.02/13.23 powerset( 13.02/13.23 X729)) => 13.02/13.23 (![X731]: 13.02/13.23 (in( 13.02/13.23 X731, 13.02/13.23 powerset( 13.02/13.23 X729)) => 13.02/13.23 in( 13.02/13.23 binunion( 13.02/13.23 X730,X731), 13.02/13.23 powerset( 13.02/13.23 X729)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X732, 13.02/13.23 X733]: 13.02/13.23 (in( 13.02/13.23 X733, 13.02/13.23 powerset( 13.02/13.23 X732)) => 13.02/13.23 in( 13.02/13.23 powerset( 13.02/13.23 X733), 13.02/13.23 powerset( 13.02/13.23 powerset( 13.02/13.23 X732))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X734, 13.02/13.23 X735]: 13.02/13.23 (in( 13.02/13.23 X735, 13.02/13.23 powerset( 13.02/13.23 X734)) => 13.02/13.23 (![X736]: 13.02/13.23 (in( 13.02/13.23 X736, 13.02/13.23 powerset( 13.02/13.23 X734)) => 13.02/13.23 in( 13.02/13.23 setminus( 13.02/13.23 X735,X736), 13.02/13.23 powerset( 13.02/13.23 X734)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X737, 13.02/13.23 X738]: 13.02/13.23 (in( 13.02/13.23 X738, 13.02/13.23 powerset( 13.02/13.23 X737)) => 13.02/13.23 in( 13.02/13.23 setminus( 13.02/13.23 X737,X738), 13.02/13.23 powerset( 13.02/13.23 X737)))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X739, 13.02/13.23 X740]: 13.02/13.23 (in( 13.02/13.23 X740, 13.02/13.23 powerset( 13.02/13.23 X739)) => 13.02/13.23 (![X741]: 13.02/13.23 (in( 13.02/13.23 X741, 13.02/13.23 powerset( 13.02/13.23 X739)) => 13.02/13.23 (( 13.02/13.23 ![X742]: 13.02/13.23 (in( 13.02/13.23 X742,X739) => 13.02/13.23 (in( 13.02/13.23 X742,X740) => 13.02/13.23 in( 13.02/13.23 X742,X741)))) => 13.02/13.23 (( 13.02/13.23 ![X743]: 13.02/13.23 (in( 13.02/13.23 X743,X739) => 13.02/13.23 (in( 13.02/13.23 X743,X741) => 13.02/13.23 in( 13.02/13.23 X743,X740)))) => 13.02/13.23 (X740 = 13.02/13.23 X741))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X744, 13.02/13.23 X745]: 13.02/13.23 (in( 13.02/13.23 X745, 13.02/13.23 powerset( 13.02/13.23 X744)) => 13.02/13.23 (![X746]: 13.02/13.23 (in( 13.02/13.23 X746, 13.02/13.23 powerset( 13.02/13.23 X744)) => 13.02/13.23 (( 13.02/13.23 ![X747]: 13.02/13.23 (in( 13.02/13.23 X747,X744) => 13.02/13.23 (in( 13.02/13.23 X747,X745) => 13.02/13.23 in( 13.02/13.23 X747,X746)))) => 13.02/13.23 subset( 13.02/13.23 X745,X746)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X748, 13.02/13.23 X749]: 13.02/13.23 (in( 13.02/13.23 X749, 13.02/13.23 powerset( 13.02/13.23 X748)) => 13.02/13.23 (![X750]: 13.02/13.23 (in( 13.02/13.23 X750, 13.02/13.23 powerset( 13.02/13.23 X748)) => 13.02/13.23 (( 13.02/13.23 ![X751]: 13.02/13.23 (in( 13.02/13.23 X751,X748) => 13.02/13.23 (in( 13.02/13.23 X751,X749) => 13.02/13.23 in( 13.02/13.23 X751,X750)))) => 13.02/13.23 in( 13.02/13.23 X749, 13.02/13.23 powerset( 13.02/13.23 X750))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X752, 13.02/13.23 X753]: 13.02/13.23 (in( 13.02/13.23 X753, 13.02/13.23 powerset( 13.02/13.23 X752)) => 13.02/13.23 (![X754]: 13.02/13.23 (in( 13.02/13.23 X754, 13.02/13.23 powerset( 13.02/13.23 X752)) => 13.02/13.23 (![X755]: 13.02/13.23 (in( 13.02/13.23 X755,X752) => 13.02/13.23 (in( 13.02/13.23 X753, 13.02/13.23 powerset( 13.02/13.23 X754)) => 13.02/13.23 (in( 13.02/13.23 X755,X753) => 13.02/13.23 in( 13.02/13.23 X755,X754))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X756, 13.02/13.23 X757]: 13.02/13.23 (in( 13.02/13.23 X757, 13.02/13.23 powerset( 13.02/13.23 X756)) => 13.02/13.23 (![X758]: 13.02/13.23 (in( 13.02/13.23 X758,X756) => 13.02/13.23 (in( 13.02/13.23 X758,X757) => 13.02/13.23 (~ 13.02/13.23 in( 13.02/13.23 X758, 13.02/13.23 setminus( 13.02/13.23 X756,X757)))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X759, 13.02/13.23 X760]: 13.02/13.23 (in( 13.02/13.23 X760, 13.02/13.23 powerset( 13.02/13.23 X759)) => 13.02/13.23 (![X761]: 13.02/13.23 (in( 13.02/13.23 X761,X759) => 13.02/13.23 (( 13.02/13.23 ~ 13.02/13.23 in( 13.02/13.23 X761, 13.02/13.23 setminus( 13.02/13.23 X759,X760))) => 13.02/13.23 in( 13.02/13.23 X761,X760)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X762, 13.02/13.23 X763]: 13.02/13.23 (in( 13.02/13.23 X763, 13.02/13.23 powerset( 13.02/13.23 X762)) => 13.02/13.23 (![X764]: 13.02/13.23 (in( 13.02/13.23 X764, 13.02/13.23 powerset( 13.02/13.23 X762)) => 13.02/13.23 (![X765]: 13.02/13.23 (in( 13.02/13.23 X765,X762) => 13.02/13.23 (( 13.02/13.23 ~ 13.02/13.23 in( 13.02/13.23 X765,X763)) => 13.02/13.23 (~ 13.02/13.23 in( 13.02/13.23 X765, 13.02/13.23 binintersect( 13.02/13.23 X763,X764)))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X766, 13.02/13.23 X767]: 13.02/13.23 (in( 13.02/13.23 X767, 13.02/13.23 powerset( 13.02/13.23 X766)) => 13.02/13.23 (![X768]: 13.02/13.23 (in( 13.02/13.23 X768, 13.02/13.23 powerset( 13.02/13.23 X766)) => 13.02/13.23 (![X769]: 13.02/13.23 (in( 13.02/13.23 X769,X766) => 13.02/13.23 (( 13.02/13.23 ~ 13.02/13.23 in( 13.02/13.23 X769,X768)) => 13.02/13.23 (~ 13.02/13.23 in( 13.02/13.23 X769, 13.02/13.23 binintersect( 13.02/13.23 X767,X768)))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X770, 13.02/13.23 X771]: 13.02/13.23 (in( 13.02/13.23 X771, 13.02/13.23 powerset( 13.02/13.23 X770)) => 13.02/13.23 (![X772]: 13.02/13.23 (in( 13.02/13.23 X772, 13.02/13.23 powerset( 13.02/13.23 X770)) => 13.02/13.23 (![X773]: 13.02/13.23 (in( 13.02/13.23 X773,X770) => 13.02/13.23 (subset( 13.02/13.23 X771, 13.02/13.23 setminus( 13.02/13.23 X770,X772)) => 13.02/13.23 (in( 13.02/13.23 X773,X772) => 13.02/13.23 (~ 13.02/13.23 in( 13.02/13.23 X773,X771)))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X774, 13.02/13.23 X775]: 13.02/13.23 (in( 13.02/13.23 X775, 13.02/13.23 powerset( 13.02/13.23 X774)) => 13.02/13.23 (![X776]: 13.02/13.23 (in( 13.02/13.23 X776, 13.02/13.23 powerset( 13.02/13.23 X774)) => 13.02/13.23 (![X777]: 13.02/13.23 (in( 13.02/13.23 X777,X774) => 13.02/13.23 (subset( 13.02/13.23 X775,X776) => 13.02/13.23 (( 13.02/13.23 ~ 13.02/13.23 in( 13.02/13.23 X777,X776)) => 13.02/13.23 (~ 13.02/13.23 in( 13.02/13.23 X777,X775)))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X778, 13.02/13.23 X779]: 13.02/13.23 (in( 13.02/13.23 X779, 13.02/13.23 powerset( 13.02/13.23 X778)) => 13.02/13.23 (![X780]: 13.02/13.23 (in( 13.02/13.23 X780, 13.02/13.23 powerset( 13.02/13.23 X778)) => 13.02/13.23 (subset( 13.02/13.23 X779,X780) => 13.02/13.23 subset( 13.02/13.23 setminus( 13.02/13.23 X778,X780), 13.02/13.23 setminus( 13.02/13.23 X778,X779))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X781, 13.02/13.23 X782]: 13.02/13.23 (in( 13.02/13.23 X782, 13.02/13.23 powerset( 13.02/13.23 X781)) => 13.02/13.23 (![X783]: 13.02/13.23 (in( 13.02/13.23 X783, 13.02/13.23 powerset( 13.02/13.23 X781)) => 13.02/13.23 (subset( 13.02/13.23 setminus( 13.02/13.23 X781,X783), 13.02/13.23 setminus( 13.02/13.23 X781,X782)) => 13.02/13.23 subset( 13.02/13.23 X782,X783)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X784, 13.02/13.23 X785]: 13.02/13.23 (in( 13.02/13.23 X785, 13.02/13.23 powerset( 13.02/13.23 X784)) => 13.02/13.23 (![X786]: 13.02/13.23 (in( 13.02/13.23 X786,X784) => 13.02/13.23 (in( 13.02/13.23 X786,X785) => 13.02/13.23 in( 13.02/13.23 X786, 13.02/13.23 setminus( 13.02/13.23 X784, 13.02/13.23 setminus( 13.02/13.23 X784,X785)))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X787, 13.02/13.23 X788]: 13.02/13.23 (in( 13.02/13.23 X788, 13.02/13.23 powerset( 13.02/13.23 X787)) => 13.02/13.23 (![X789]: 13.02/13.23 (in( 13.02/13.23 X789,X787) => 13.02/13.23 (in( 13.02/13.23 X789, 13.02/13.23 setminus( 13.02/13.23 X787, 13.02/13.23 setminus( 13.02/13.23 X787,X788))) => 13.02/13.23 in( 13.02/13.23 X789,X788)))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X790, 13.02/13.23 X791]: 13.02/13.23 (in( 13.02/13.23 X791, 13.02/13.23 powerset( 13.02/13.23 X790)) => 13.02/13.23 subset( 13.02/13.23 X791, 13.02/13.23 setminus( 13.02/13.23 X790, 13.02/13.23 setminus( 13.02/13.23 X790,X791))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X792, 13.02/13.23 X793]: 13.02/13.23 (in( 13.02/13.23 X793, 13.02/13.23 powerset( 13.02/13.23 X792)) => 13.02/13.23 subset( 13.02/13.23 setminus( 13.02/13.23 X792, 13.02/13.23 setminus( 13.02/13.23 X792,X793)), 13.02/13.23 X793))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X794, 13.02/13.23 X795]: 13.02/13.23 (in( 13.02/13.23 X795, 13.02/13.23 powerset( 13.02/13.23 X794)) => 13.02/13.23 (X795 = 13.02/13.23 setminus( 13.02/13.23 X794, 13.02/13.23 setminus( 13.02/13.23 X794,X795))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X796, 13.02/13.23 X797]: 13.02/13.23 (in( 13.02/13.23 X797, 13.02/13.23 powerset( 13.02/13.23 X796)) => 13.02/13.23 (![X798]: 13.02/13.23 (in( 13.02/13.23 X798, 13.02/13.23 powerset( 13.02/13.23 X796)) => 13.02/13.23 (![X799]: 13.02/13.23 (in( 13.02/13.23 X799,X796) => 13.02/13.23 (in( 13.02/13.23 X799, 13.02/13.23 setminus( 13.02/13.23 X796,X797)) => 13.02/13.23 (~ 13.02/13.23 in( 13.02/13.23 X799, 13.02/13.23 binintersect( 13.02/13.23 X797,X798)))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X800, 13.02/13.23 X801]: 13.02/13.23 (in( 13.02/13.23 X801, 13.02/13.23 powerset( 13.02/13.23 X800)) => 13.02/13.23 (![X802]: 13.02/13.23 (in( 13.02/13.23 X802, 13.02/13.23 powerset( 13.02/13.23 X800)) => 13.02/13.23 (![X803]: 13.02/13.23 (in( 13.02/13.23 X803,X800) => 13.02/13.23 (in( 13.02/13.23 X803, 13.02/13.23 setminus( 13.02/13.23 X800,X801)) => 13.02/13.23 in( 13.02/13.23 X803, 13.02/13.23 setminus( 13.02/13.23 X800, 13.02/13.23 binintersect( 13.02/13.23 X801,X802)))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X804, 13.02/13.23 X805]: 13.02/13.23 (in( 13.02/13.23 X805, 13.02/13.23 powerset( 13.02/13.23 X804)) => 13.02/13.23 (![X806]: 13.02/13.23 (in( 13.02/13.23 X806, 13.02/13.23 powerset( 13.02/13.23 X804)) => 13.02/13.23 subset( 13.02/13.23 setminus( 13.02/13.23 X804,X805), 13.02/13.23 setminus( 13.02/13.23 X804, 13.02/13.23 binintersect( 13.02/13.23 X805,X806))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X807, 13.02/13.23 X808]: 13.02/13.23 (in( 13.02/13.23 X808, 13.02/13.23 powerset( 13.02/13.23 X807)) => 13.02/13.23 (![X809]: 13.02/13.23 (in( 13.02/13.23 X809, 13.02/13.23 powerset( 13.02/13.23 X807)) => 13.02/13.23 in( 13.02/13.23 setminus( 13.02/13.23 X807,X808), 13.02/13.23 powerset( 13.02/13.23 setminus( 13.02/13.23 X807, 13.02/13.23 binintersect( 13.02/13.23 X808,X809)))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X810, 13.02/13.23 X811]: 13.02/13.23 (in( 13.02/13.23 X811, 13.02/13.23 powerset( 13.02/13.23 X810)) => 13.02/13.23 (![X812]: 13.02/13.23 (in( 13.02/13.23 X812, 13.02/13.23 powerset( 13.02/13.23 X810)) => 13.02/13.23 (subset( 13.02/13.23 X811, 13.02/13.23 setminus( 13.02/13.23 X810,X812)) => 13.02/13.23 (![X813]: 13.02/13.23 (in( 13.02/13.23 X813,X810) => 13.02/13.23 (in( 13.02/13.23 X813,X812) => 13.02/13.23 in( 13.02/13.23 X813, 13.02/13.23 setminus( 13.02/13.23 X810,X811)))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X814, 13.02/13.23 X815]: 13.02/13.23 (in( 13.02/13.23 X815, 13.02/13.23 powerset( 13.02/13.23 X814)) => 13.02/13.23 (![X816]: 13.02/13.23 (in( 13.02/13.23 X816, 13.02/13.23 powerset( 13.02/13.23 X814)) => 13.02/13.23 (subset( 13.02/13.23 X815, 13.02/13.23 setminus( 13.02/13.23 X814,X816)) => 13.02/13.23 subset( 13.02/13.23 X816, 13.02/13.23 setminus( 13.02/13.23 X814,X815))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X817, 13.02/13.23 X818]: 13.02/13.23 (in( 13.02/13.23 X818, 13.02/13.23 powerset( 13.02/13.23 X817)) => 13.02/13.23 (![X819]: 13.02/13.23 (in( 13.02/13.23 X819, 13.02/13.23 powerset( 13.02/13.23 X817)) => 13.02/13.23 (![X820]: 13.02/13.23 (in( 13.02/13.23 X820,X817) => 13.02/13.23 (( 13.02/13.23 ~ 13.02/13.23 in( 13.02/13.23 X820, 13.02/13.23 binunion( 13.02/13.23 X818,X819))) => 13.02/13.23 (~ 13.02/13.23 in( 13.02/13.23 X820,X818))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X821, 13.02/13.23 X822]: 13.02/13.23 (in( 13.02/13.23 X822, 13.02/13.23 powerset( 13.02/13.23 X821)) => 13.02/13.23 (![X823]: 13.02/13.23 (in( 13.02/13.23 X823, 13.02/13.23 powerset( 13.02/13.23 X821)) => 13.02/13.23 (![X824]: 13.02/13.23 (in( 13.02/13.23 X824,X821) => 13.02/13.23 (( 13.02/13.23 ~ 13.02/13.23 in( 13.02/13.23 X824, 13.02/13.23 binunion( 13.02/13.23 X822,X823))) => 13.02/13.23 (~ 13.02/13.23 in( 13.02/13.23 X824,X823))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X825, 13.02/13.23 X826]: 13.02/13.23 (in( 13.02/13.23 X826, 13.02/13.23 powerset( 13.02/13.23 X825)) => 13.02/13.23 (![X827]: 13.02/13.23 (in( 13.02/13.23 X827, 13.02/13.23 powerset( 13.02/13.23 X825)) => 13.02/13.23 (![X828]: 13.02/13.23 (in( 13.02/13.23 X828, 13.02/13.23 powerset( 13.02/13.23 X825)) => 13.02/13.23 (![X829]: 13.02/13.23 (in( 13.02/13.23 X829,X825) => 13.02/13.23 (in( 13.02/13.23 X829, 13.02/13.23 binintersect( 13.02/13.23 X826,X827)) => 13.02/13.23 in( 13.02/13.23 X829, 13.02/13.23 binunion( 13.02/13.23 X826,X828))))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X830, 13.02/13.23 X831]: 13.02/13.23 (in( 13.02/13.23 X831, 13.02/13.23 powerset( 13.02/13.23 X830)) => 13.02/13.23 (![X832]: 13.02/13.23 (in( 13.02/13.23 X832, 13.02/13.23 powerset( 13.02/13.23 X830)) => 13.02/13.23 (![X833]: 13.02/13.23 (in( 13.02/13.23 X833, 13.02/13.23 powerset( 13.02/13.23 X830)) => 13.02/13.23 (![X834]: 13.02/13.23 (in( 13.02/13.23 X834,X830) => 13.02/13.23 (in( 13.02/13.23 X834, 13.02/13.23 binintersect( 13.02/13.23 X831,X832)) => 13.02/13.23 in( 13.02/13.23 X834, 13.02/13.23 binunion( 13.02/13.23 X832,X833))))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X835, 13.02/13.23 X836]: 13.02/13.23 (in( 13.02/13.23 X836, 13.02/13.23 powerset( 13.02/13.23 X835)) => 13.02/13.23 (![X837]: 13.02/13.23 (in( 13.02/13.23 X837, 13.02/13.23 powerset( 13.02/13.23 X835)) => 13.02/13.23 (![X838]: 13.02/13.23 (in( 13.02/13.23 X838, 13.02/13.23 powerset( 13.02/13.23 X835)) => 13.02/13.23 (![X839]: 13.02/13.23 (in( 13.02/13.23 X839,X835) => 13.02/13.23 (in( 13.02/13.23 X839, 13.02/13.23 binintersect( 13.02/13.23 X836,X837)) => 13.02/13.23 in( 13.02/13.23 X839, 13.02/13.23 binintersect( 13.02/13.23 binunion( 13.02/13.23 X836,X838), 13.02/13.23 binunion( 13.02/13.23 X837,X838)))))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X840, 13.02/13.23 X841]: 13.02/13.23 (in( 13.02/13.23 X841, 13.02/13.23 powerset( 13.02/13.23 X840)) => 13.02/13.23 (![X842]: 13.02/13.23 (in( 13.02/13.23 X842, 13.02/13.23 powerset( 13.02/13.23 X840)) => 13.02/13.23 (![X843]: 13.02/13.23 (in( 13.02/13.23 X843, 13.02/13.23 powerset( 13.02/13.23 X840)) => 13.02/13.23 in( 13.02/13.23 binintersect( 13.02/13.23 X841,X842), 13.02/13.23 powerset( 13.02/13.23 binintersect( 13.02/13.23 binunion( 13.02/13.23 X841,X843), 13.02/13.23 binunion( 13.02/13.23 X842,X843)))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X844, 13.02/13.23 X845]: 13.02/13.23 (in( 13.02/13.23 X845, 13.02/13.23 powerset( 13.02/13.23 X844)) => 13.02/13.23 (![X846]: 13.02/13.23 (in( 13.02/13.23 X846, 13.02/13.23 powerset( 13.02/13.23 X844)) => 13.02/13.23 (![X847]: 13.02/13.23 (in( 13.02/13.23 X847,X844) => 13.02/13.23 (in( 13.02/13.23 X847, 13.02/13.23 setminus( 13.02/13.23 X844, 13.02/13.23 binunion( 13.02/13.23 X845,X846))) => 13.02/13.23 (~ 13.02/13.23 in( 13.02/13.23 X847,X845))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X848, 13.02/13.23 X849]: 13.02/13.23 (in( 13.02/13.23 X849, 13.02/13.23 powerset( 13.02/13.23 X848)) => 13.02/13.23 (![X850]: 13.02/13.23 (in( 13.02/13.23 X850, 13.02/13.23 powerset( 13.02/13.23 X848)) => 13.02/13.23 (![X851]: 13.02/13.23 (in( 13.02/13.23 X851,X848) => 13.02/13.23 (in( 13.02/13.23 X851, 13.02/13.23 setminus( 13.02/13.23 X848, 13.02/13.23 binunion( 13.02/13.23 X849,X850))) => 13.02/13.23 in( 13.02/13.23 X851, 13.02/13.23 setminus( 13.02/13.23 X848,X849))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X852, 13.02/13.23 X853]: 13.02/13.23 (in( 13.02/13.23 X853, 13.02/13.23 powerset( 13.02/13.23 X852)) => 13.02/13.23 (![X854]: 13.02/13.23 (in( 13.02/13.23 X854, 13.02/13.23 powerset( 13.02/13.23 X852)) => 13.02/13.23 (![X855:$o, 13.02/13.23 X856]: 13.02/13.23 (in( 13.02/13.23 X856,X852) => 13.02/13.23 (in( 13.02/13.23 X856, 13.02/13.23 binunion( 13.02/13.23 X853,X854)) => 13.02/13.23 (( 13.02/13.23 in( 13.02/13.23 X856,X853) => 13.02/13.23 X855) => 13.02/13.23 (( 13.02/13.23 in( 13.02/13.23 X856,X854) => 13.02/13.23 X855) => 13.02/13.23 X855))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X857, 13.02/13.23 X858]: 13.02/13.23 (in( 13.02/13.23 X858, 13.02/13.23 powerset( 13.02/13.23 X857)) => 13.02/13.23 (![X859]: 13.02/13.23 (in( 13.02/13.23 X859, 13.02/13.23 powerset( 13.02/13.23 X857)) => 13.02/13.23 (![X860]: 13.02/13.23 (in( 13.02/13.23 X860,X857) => 13.02/13.23 (( 13.02/13.23 ~ 13.02/13.23 in( 13.02/13.23 X860,X858)) => 13.02/13.23 (( 13.02/13.23 ~ 13.02/13.23 in( 13.02/13.23 X860,X859)) => 13.02/13.23 (~ 13.02/13.23 in( 13.02/13.23 X860, 13.02/13.23 binunion( 13.02/13.23 X858,X859))))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X861, 13.02/13.23 X862]: 13.02/13.23 (in( 13.02/13.23 X862, 13.02/13.23 powerset( 13.02/13.23 X861)) => 13.02/13.23 (![X863]: 13.02/13.23 (in( 13.02/13.23 X863, 13.02/13.23 powerset( 13.02/13.23 X861)) => 13.02/13.23 (![X864]: 13.02/13.23 (in( 13.02/13.23 X864,X861) => 13.02/13.23 (in( 13.02/13.23 X864, 13.02/13.23 setminus( 13.02/13.23 X861, 13.02/13.23 binunion( 13.02/13.23 X862,X863))) => 13.02/13.23 in( 13.02/13.23 X864, 13.02/13.23 setminus( 13.02/13.23 X861,X862))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X865, 13.02/13.23 X866]: 13.02/13.23 (in( 13.02/13.23 X866, 13.02/13.23 powerset( 13.02/13.23 X865)) => 13.02/13.23 (![X867]: 13.02/13.23 (in( 13.02/13.23 X867, 13.02/13.23 powerset( 13.02/13.23 X865)) => 13.02/13.23 in( 13.02/13.23 setminus( 13.02/13.23 X865, 13.02/13.23 binunion( 13.02/13.23 X866,X867)), 13.02/13.23 powerset( 13.02/13.23 setminus( 13.02/13.23 X865,X866))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X868, 13.02/13.23 X869]: 13.02/13.23 (in( 13.02/13.23 X869, 13.02/13.23 powerset( 13.02/13.23 X868)) => 13.02/13.23 (![X870]: 13.02/13.23 (in( 13.02/13.23 X870, 13.02/13.23 powerset( 13.02/13.23 X868)) => 13.02/13.23 (![X871]: 13.02/13.23 (in( 13.02/13.23 X871,X868) => 13.02/13.23 (in( 13.02/13.23 X871, 13.02/13.23 setminus( 13.02/13.23 X868, 13.02/13.23 binunion( 13.02/13.23 X869,X870))) => 13.02/13.23 in( 13.02/13.23 X871, 13.02/13.23 setminus( 13.02/13.23 X868,X870))))))))) => 13.02/13.23 ( 13.02/13.23 ( 13.02/13.23 ![X872, 13.02/13.23 X873]: 13.02/13.23 (in( 13.02/13.23 X873, 13.02/13.23 powerset( 13.02/13.23 X872)) => 13.02/13.23 (![X874]: 13.02/13.23 (in( 13.02/13.23 X874, 13.02/13.23 powerset( 13.02/13.23 X872)) => 13.02/13.24 (![X875]: 13.02/13.24 (in( 13.02/13.24 X875,X872) => 13.02/13.24 (in( 13.02/13.24 X875, 13.02/13.24 setminus( 13.02/13.24 X872, 13.02/13.24 binintersect( 13.02/13.24 X873,X874))) => 13.02/13.24 in( 13.02/13.24 X875, 13.02/13.24 binunion( 13.02/13.24 setminus( 13.02/13.24 X872,X873), 13.02/13.24 setminus( 13.02/13.24 X872,X874)))))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X876, 13.02/13.24 X877]: 13.02/13.24 (in( 13.02/13.24 X877, 13.02/13.24 powerset( 13.02/13.24 X876)) => 13.02/13.24 (![X878]: 13.02/13.24 (in( 13.02/13.24 X878, 13.02/13.24 powerset( 13.02/13.24 X876)) => 13.02/13.24 (![X879]: 13.02/13.24 (in( 13.02/13.24 X879,X876) => 13.02/13.24 (in( 13.02/13.24 X879, 13.02/13.24 binunion( 13.02/13.24 setminus( 13.02/13.24 X876,X877), 13.02/13.24 setminus( 13.02/13.24 X876,X878))) => 13.02/13.24 in( 13.02/13.24 X879, 13.02/13.24 setminus( 13.02/13.24 X876, 13.02/13.24 binintersect( 13.02/13.24 X877,X878)))))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X880, 13.02/13.24 X881]: 13.02/13.24 (in( 13.02/13.24 X881, 13.02/13.24 powerset( 13.02/13.24 X880)) => 13.02/13.24 (![X882]: 13.02/13.24 (in( 13.02/13.24 X882, 13.02/13.24 powerset( 13.02/13.24 X880)) => 13.02/13.24 (setminus( 13.02/13.24 X880, 13.02/13.24 binintersect( 13.02/13.24 X881,X882)) = 13.02/13.24 binunion( 13.02/13.24 setminus( 13.02/13.24 X880,X881), 13.02/13.24 setminus( 13.02/13.24 X880,X882))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X883, 13.02/13.24 X884]: 13.02/13.24 (in( 13.02/13.24 X884, 13.02/13.24 powerset( 13.02/13.24 X883)) => 13.02/13.24 (![X885]: 13.02/13.24 (in( 13.02/13.24 X885, 13.02/13.24 powerset( 13.02/13.24 X883)) => 13.02/13.24 (![X886]: 13.02/13.24 (in( 13.02/13.24 X886,X883) => 13.02/13.24 (in( 13.02/13.24 X886, 13.02/13.24 setminus( 13.02/13.24 X883, 13.02/13.24 binunion( 13.02/13.24 X884,X885))) => 13.02/13.24 in( 13.02/13.24 X886, 13.02/13.24 binintersect( 13.02/13.24 setminus( 13.02/13.24 X883,X884), 13.02/13.24 setminus( 13.02/13.24 X883,X885)))))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X887, 13.02/13.24 X888]: 13.02/13.24 (in( 13.02/13.24 X888, 13.02/13.24 powerset( 13.02/13.24 X887)) => 13.02/13.24 (![X889]: 13.02/13.24 (in( 13.02/13.24 X889, 13.02/13.24 powerset( 13.02/13.24 X887)) => 13.02/13.24 (![X890]: 13.02/13.24 (in( 13.02/13.24 X890,X887) => 13.02/13.24 (in( 13.02/13.24 X890, 13.02/13.24 setminus( 13.02/13.24 X887,X888)) => 13.02/13.24 (in( 13.02/13.24 X890, 13.02/13.24 setminus( 13.02/13.24 X887,X889)) => 13.02/13.24 in( 13.02/13.24 X890, 13.02/13.24 setminus( 13.02/13.24 X887, 13.02/13.24 binunion( 13.02/13.24 X888,X889))))))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X891, 13.02/13.24 X892]: 13.02/13.24 (in( 13.02/13.24 X892, 13.02/13.24 powerset( 13.02/13.24 X891)) => 13.02/13.24 (![X893]: 13.02/13.24 (in( 13.02/13.24 X893, 13.02/13.24 powerset( 13.02/13.24 X891)) => 13.02/13.24 (![X894]: 13.02/13.24 (in( 13.02/13.24 X894,X891) => 13.02/13.24 (in( 13.02/13.24 X894, 13.02/13.24 binintersect( 13.02/13.24 setminus( 13.02/13.24 X891,X892), 13.02/13.24 setminus( 13.02/13.24 X891,X893))) => 13.02/13.24 in( 13.02/13.24 X894, 13.02/13.24 setminus( 13.02/13.24 X891, 13.02/13.24 binunion( 13.02/13.24 X892,X893)))))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X895, 13.02/13.24 X896]: 13.02/13.24 (in( 13.02/13.24 X896, 13.02/13.24 powerset( 13.02/13.24 X895)) => 13.02/13.24 (![X897]: 13.02/13.24 (in( 13.02/13.24 X897, 13.02/13.24 powerset( 13.02/13.24 X895)) => 13.02/13.24 (setminus( 13.02/13.24 X895, 13.02/13.24 binunion( 13.02/13.24 X896,X897)) = 13.02/13.24 binintersect( 13.02/13.24 setminus( 13.02/13.24 X895,X896), 13.02/13.24 setminus( 13.02/13.24 X895,X897))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X898, 13.02/13.24 X899]: 13.02/13.24 (in( 13.02/13.24 X899, 13.02/13.24 powerset( 13.02/13.24 X898)) => 13.02/13.24 (![X900]: 13.02/13.24 (in( 13.02/13.24 X900, 13.02/13.24 powerset( 13.02/13.24 X898)) => 13.02/13.24 (![X901]: 13.02/13.24 (in( 13.02/13.24 X901, 13.02/13.24 binintersect( 13.02/13.24 X899,X900)) => 13.02/13.24 in( 13.02/13.24 X901,X898))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X902, 13.02/13.24 X903]: 13.02/13.24 (in( 13.02/13.24 X903, 13.02/13.24 powerset( 13.02/13.24 X902)) => 13.02/13.24 (![X904]: 13.02/13.24 (in( 13.02/13.24 X904, 13.02/13.24 powerset( 13.02/13.24 X902)) => 13.02/13.24 (![X905]: 13.02/13.24 (in( 13.02/13.24 X905, 13.02/13.24 powerset( 13.02/13.24 X902)) => 13.02/13.24 (subset( 13.02/13.24 X903,X905) => 13.02/13.24 subset( 13.02/13.24 binintersect( 13.02/13.24 X903,X904), 13.02/13.24 X905)))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X906, 13.02/13.24 X907]: 13.02/13.24 (in( 13.02/13.24 X907, 13.02/13.24 powerset( 13.02/13.24 X906)) => 13.02/13.24 (![X908]: 13.02/13.24 (in( 13.02/13.24 X908, 13.02/13.24 powerset( 13.02/13.24 X906)) => 13.02/13.24 (![X909]: 13.02/13.24 (in( 13.02/13.24 X909, 13.02/13.24 powerset( 13.02/13.24 X906)) => 13.02/13.24 (subset( 13.02/13.24 X908,X909) => 13.02/13.24 subset( 13.02/13.24 binintersect( 13.02/13.24 X907,X908), 13.02/13.24 X909)))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X910, 13.02/13.24 X911]: 13.02/13.24 (in( 13.02/13.24 X911, 13.02/13.24 powerset( 13.02/13.24 X910)) => 13.02/13.24 (![X912]: 13.02/13.24 (in( 13.02/13.24 X912, 13.02/13.24 powerset( 13.02/13.24 X910)) => 13.02/13.24 (![X913]: 13.02/13.24 (in( 13.02/13.24 X913, 13.02/13.24 powerset( 13.02/13.24 X910)) => 13.02/13.24 (subset( 13.02/13.24 X911,X912) => 13.02/13.24 (subset( 13.02/13.24 X911,X913) => 13.02/13.24 subset( 13.02/13.24 X911, 13.02/13.24 binintersect( 13.02/13.24 X912,X913)))))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X914, 13.02/13.24 X915]: 13.02/13.24 (in( 13.02/13.24 X915, 13.02/13.24 powerset( 13.02/13.24 X914)) => 13.02/13.24 (![X916]: 13.02/13.24 (in( 13.02/13.24 X916, 13.02/13.24 powerset( 13.02/13.24 X914)) => 13.02/13.24 (![X917]: 13.02/13.24 (in( 13.02/13.24 X917, 13.02/13.24 powerset( 13.02/13.24 X914)) => 13.02/13.24 (![X918]: 13.02/13.24 (in( 13.02/13.24 X918, 13.02/13.24 powerset( 13.02/13.24 X914)) => 13.02/13.24 (subset( 13.02/13.24 X915,X917) => 13.02/13.24 (subset( 13.02/13.24 X916,X918) => 13.02/13.24 subset( 13.02/13.24 binintersect( 13.02/13.24 X915,X916), 13.02/13.24 binintersect( 13.02/13.24 X917,X918)))))))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X919, 13.02/13.24 X920]: 13.02/13.24 (in( 13.02/13.24 X920, 13.02/13.24 powerset( 13.02/13.24 X919)) => 13.02/13.24 (![X921]: 13.02/13.24 (in( 13.02/13.24 X921, 13.02/13.24 powerset( 13.02/13.24 X919)) => 13.02/13.24 in( 13.02/13.24 setminus( 13.02/13.24 X919,X920), 13.02/13.24 powerset( 13.02/13.24 setminus( 13.02/13.24 X919, 13.02/13.24 binintersect( 13.02/13.24 X920,X921)))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X922, 13.02/13.24 X923]: 13.02/13.24 (in( 13.02/13.24 X923, 13.02/13.24 powerset( 13.02/13.24 X922)) => 13.02/13.24 (![X924]: 13.02/13.24 (in( 13.02/13.24 X924, 13.02/13.24 powerset( 13.02/13.24 X922)) => 13.02/13.24 (![X925]: 13.02/13.24 (in( 13.02/13.24 X925, 13.02/13.24 powerset( 13.02/13.24 X922)) => 13.02/13.24 (![X926]: 13.02/13.24 (in( 13.02/13.24 X926, 13.02/13.24 powerset( 13.02/13.24 X922)) => 13.02/13.24 (setminus( 13.02/13.24 X922, 13.02/13.24 binintersect( 13.02/13.24 binunion( 13.02/13.24 X923,X924), 13.02/13.24 binunion( 13.02/13.24 X925,X926))) = 13.02/13.24 binunion( 13.02/13.24 binintersect( 13.02/13.24 setminus( 13.02/13.24 X922,X923), 13.02/13.24 setminus( 13.02/13.24 X922,X924)), 13.02/13.24 binintersect( 13.02/13.24 setminus( 13.02/13.24 X922,X925), 13.02/13.24 setminus( 13.02/13.24 X922,X926)))))))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X927, 13.02/13.24 X928]: 13.02/13.24 (in( 13.02/13.24 X928, 13.02/13.24 powerset( 13.02/13.24 X927)) => 13.02/13.24 (![X929]: 13.02/13.24 (in( 13.02/13.24 X929, 13.02/13.24 powerset( 13.02/13.24 X927)) => 13.02/13.24 (![X930]: 13.02/13.24 (in( 13.02/13.24 X930, 13.02/13.24 powerset( 13.02/13.24 X927)) => 13.02/13.24 in( 13.02/13.24 binintersect( 13.02/13.24 X928,X929), 13.02/13.24 powerset( 13.02/13.24 binintersect( 13.02/13.24 binunion( 13.02/13.24 X928,X930), 13.02/13.24 binunion( 13.02/13.24 X929,X930)))))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X931, 13.02/13.24 X932]: 13.02/13.24 (in( 13.02/13.24 X932, 13.02/13.24 powerset( 13.02/13.24 X931)) => 13.02/13.24 (![X933]: 13.02/13.24 (in( 13.02/13.24 X933, 13.02/13.24 powerset( 13.02/13.24 X931)) => 13.02/13.24 (subset( 13.02/13.24 X932, 13.02/13.24 setminus( 13.02/13.24 X931,X933)) => 13.02/13.24 subset( 13.02/13.24 X933, 13.02/13.24 setminus( 13.02/13.24 X931,X932))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X934, 13.02/13.24 X935]: 13.02/13.24 (in( 13.02/13.24 X935, 13.02/13.24 powerset( 13.02/13.24 X934)) => 13.02/13.24 (![X936]: 13.02/13.24 (in( 13.02/13.24 X936, 13.02/13.24 powerset( 13.02/13.24 X934)) => 13.02/13.24 in( 13.02/13.24 setminus( 13.02/13.24 X934, 13.02/13.24 binunion( 13.02/13.24 X935,X936)), 13.02/13.24 powerset( 13.02/13.24 setminus( 13.02/13.24 X934,X935))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X937, 13.02/13.24 X938]: 13.02/13.24 (subset( 13.02/13.24 X938, 13.02/13.24 cartprod( 13.02/13.24 X937,X937)) => 13.02/13.24 (![X939:( 13.02/13.24 $i > $o)]: 13.02/13.24 (( 13.02/13.24 ![X940]: 13.02/13.24 (in( 13.02/13.24 X940,X937) => 13.02/13.24 (![X941]: 13.02/13.24 (in( 13.02/13.24 X941,X937) => 13.02/13.24 (in( 13.02/13.24 kpair( 13.02/13.24 X940,X941), 13.02/13.24 X938) => 13.02/13.24 X939( 13.02/13.24 kpair( 13.02/13.24 X940,X941))))))) => 13.02/13.24 (![X942]: 13.02/13.24 (in( 13.02/13.24 X942,X938) => 13.02/13.24 X939( 13.02/13.24 X942))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X943, 13.02/13.24 X944]: 13.02/13.24 (in( 13.02/13.24 X944, 13.02/13.24 breln1Set( 13.02/13.24 X943)) => 13.02/13.24 subset( 13.02/13.24 X944, 13.02/13.24 cartprod( 13.02/13.24 X943,X943)))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X945, 13.02/13.24 X946, 13.02/13.24 X947:( 13.02/13.24 ($i * $i) > 13.02/13.24 $o)]: 13.02/13.24 (( 13.02/13.24 ![X948]: 13.02/13.24 (in( 13.02/13.24 X948,X945) => 13.02/13.24 (?[X949]: 13.02/13.24 (X947( 13.02/13.24 X948,X949) & 13.02/13.24 in( 13.02/13.24 X949,X946))))) => 13.02/13.24 (![X950]: 13.02/13.24 (in( 13.02/13.24 X950, 13.02/13.24 breln1Set( 13.02/13.24 X946)) => 13.02/13.24 (reflwellordering( 13.02/13.24 X946,X950) => 13.02/13.24 (![X951]: 13.02/13.24 (in( 13.02/13.24 X951,X945) => 13.02/13.24 singleton( 13.02/13.24 dsetconstr( 13.02/13.24 X946, 13.02/13.24 ^[V_53]: 13.02/13.24 (X947( 13.02/13.24 X951,V_53) & 13.02/13.24 (![X952]: 13.02/13.24 (in( 13.02/13.24 X952,X946) => 13.02/13.24 (X947( 13.02/13.24 X951,X952) => 13.02/13.24 in( 13.02/13.24 kpair( 13.02/13.24 V_53,X952), 13.02/13.24 X950)))))))))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X953, 13.02/13.24 X954:( 13.02/13.24 ($i * $i) > 13.02/13.24 $o)]: 13.02/13.24 subset( 13.02/13.24 dpsetconstr( 13.02/13.24 X953, 13.02/13.24 X953, 13.02/13.24 ^[V_54, 13.02/13.24 V_55]: 13.02/13.24 X954( 13.02/13.24 V_54,V_55)), 13.02/13.24 cartprod( 13.02/13.24 X953,X953))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X955, 13.02/13.24 X956]: 13.02/13.24 (subset( 13.02/13.24 X956, 13.02/13.24 cartprod( 13.02/13.24 X955,X955)) => 13.02/13.24 (![X957:( 13.02/13.24 $i > $o)]: 13.02/13.24 (( 13.02/13.24 ![X958]: 13.02/13.24 (in( 13.02/13.24 X958,X955) => 13.02/13.24 (![X959]: 13.02/13.24 (in( 13.02/13.24 X959,X955) => 13.02/13.24 (in( 13.02/13.24 kpair( 13.02/13.24 X958,X959), 13.02/13.24 X956) => 13.02/13.24 X957( 13.02/13.24 kpair( 13.02/13.24 X958,X959))))))) => 13.02/13.24 (![X960]: 13.02/13.24 (in( 13.02/13.24 X960,X956) => 13.02/13.24 X957( 13.02/13.24 X960))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X961, 13.02/13.24 X962]: 13.02/13.24 (subset( 13.02/13.24 X962, 13.02/13.24 cartprod( 13.02/13.24 X961,X961)) => 13.02/13.24 (![X963]: 13.02/13.24 (subset( 13.02/13.24 X963, 13.02/13.24 cartprod( 13.02/13.24 X961,X961)) => 13.02/13.24 (( 13.02/13.24 ![X964]: 13.02/13.24 (in( 13.02/13.24 X964,X961) => 13.02/13.24 (![X965]: 13.02/13.24 (in( 13.02/13.24 X965,X961) => 13.02/13.24 (in( 13.02/13.24 kpair( 13.02/13.24 X964,X965), 13.02/13.24 X962) => 13.02/13.24 in( 13.02/13.24 kpair( 13.02/13.24 X964,X965), 13.02/13.24 X963)))))) => 13.02/13.24 subset( 13.02/13.24 X962,X963)))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X966, 13.02/13.24 X967]: 13.02/13.24 (subset( 13.02/13.24 X967, 13.02/13.24 cartprod( 13.02/13.24 X966,X966)) => 13.02/13.24 (![X968]: 13.02/13.24 (subset( 13.02/13.24 X968, 13.02/13.24 cartprod( 13.02/13.24 X966,X966)) => 13.02/13.24 (( 13.02/13.24 ![X969]: 13.02/13.24 (in( 13.02/13.24 X969,X966) => 13.02/13.24 (![X970]: 13.02/13.24 (in( 13.02/13.24 X970,X966) => 13.02/13.24 (in( 13.02/13.24 kpair( 13.02/13.24 X969,X970), 13.02/13.24 X967) => 13.02/13.24 in( 13.02/13.24 kpair( 13.02/13.24 X969,X970), 13.02/13.24 X968)))))) => 13.02/13.24 (( 13.02/13.24 ![X971]: 13.02/13.24 (in( 13.02/13.24 X971,X966) => 13.02/13.24 (![X972]: 13.02/13.24 (in( 13.02/13.24 X972,X966) => 13.02/13.24 (in( 13.02/13.24 kpair( 13.02/13.24 X971,X972), 13.02/13.24 X968) => 13.02/13.24 in( 13.02/13.24 kpair( 13.02/13.24 X971,X972), 13.02/13.24 X967)))))) => 13.02/13.24 (X967 = 13.02/13.24 X968))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X973, 13.02/13.24 X974]: 13.02/13.24 (subset( 13.02/13.24 X974, 13.02/13.24 cartprod( 13.02/13.24 X973,X973)) => 13.02/13.24 subset( 13.02/13.24 breln1invset( 13.02/13.24 X973,X974), 13.02/13.24 cartprod( 13.02/13.24 X973,X973)))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X975, 13.02/13.24 X976]: 13.02/13.24 (subset( 13.02/13.24 X976, 13.02/13.24 cartprod( 13.02/13.24 X975,X975)) => 13.02/13.24 (![X977]: 13.02/13.24 (in( 13.02/13.24 X977,X975) => 13.02/13.24 (![X978]: 13.02/13.24 (in( 13.02/13.24 X978,X975) => 13.02/13.24 (in( 13.02/13.24 kpair( 13.02/13.24 X977,X978), 13.02/13.24 X976) => 13.02/13.24 in( 13.02/13.24 kpair( 13.02/13.24 X978,X977), 13.02/13.24 breln1invset( 13.02/13.24 X975,X976))))))))) => 13.02/13.24 ( 13.02/13.24 ( 13.02/13.24 ![X979, 13.02/13.24 X980]: 13.02/13.24 (subset( 13.02/13.24 X980, 13.02/13.24 cartprod( 13.02/13.24 X979,X979)) => 13.02/13.24 (![X981]: 13.02/13.24 (in( 13.02/13.24 X981,X979) => 13.02/13.24 (![X982]: 13.02/13.24 (in( 13.02/13.24 X982,X979) => 13.02/13.24 (in( 13.02/13.24 kpair( 13.02/13.24 X982,X981), 13.02/13.24 breln1invset( 13.02/13.24 X979,X980)) => 13.02/13.24 in( 13.02/13.24 kpair( 13.02/13.24 X981,X982), 13.02/13.24 X980)))))))) => 13.02/13.24 ( 13.02/13.24 ![X983, 13.02/13.24 X984]: 13.02/13.24 (subset( 13.02/13.24 X984, 13.02/13.24 cartprod( 13.02/13.24 X983,X983)) => 13.02/13.24 (![X985]: 13.02/13.24 (subset( 13.02/13.24 X985, 13.02/13.24 cartprod( 13.02/13.24 X983,X983)) => 13.02/13.24 subset( 13.02/13.24 dpsetconstr( 13.02/13.24 X983, 13.02/13.24 X983, 13.02/13.24 ^[V_56, 13.02/13.24 V_57]: 13.02/13.24 (?[X986]: 13.02/13.24 (in( 13.02/13.24 X986,X983) & 13.02/13.24 in( 13.02/13.24 kpair( 13.02/13.24 V_56,X986), 13.02/13.24 X984) & 13.02/13.24 in( 13.02/13.24 kpair( 13.02/13.24 X986,V_57), 13.02/13.24 X985)))), 13.02/13.24 cartprod( 13.02/13.24 X983,X983)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 13.02/13.24 tff('299', plain, 13.02/13.24 ![X1243, X1244, X1245 : ($i * $i) > $o]: 13.02/13.24 subset(dpsetconstr(X1243, X1244, (^[Y0 : $i,Y1 : $i]: X1245(Y0, Y1))), 13.02/13.24 cartprod(X1243, X1244)), 13.02/13.24 inference('cnf', [status(esa)], [zf_stmt_14])). 13.02/13.24 tff('300', plain, 13.02/13.24 ![X1243, X1244, X1245 : ($i * $i) > $o]: 13.02/13.24 subset(dpsetconstr(X1243, X1244, X1245), cartprod(X1243, X1244)), 13.02/13.24 inference('lambda-normalize', [status(thm)], ['299'])). 13.02/13.24 tff('301', plain, 13.02/13.24 ~ subset( 13.02/13.24 dpsetconstr(sk_X983_, sk_X983_, 13.02/13.24 (^[Y0 : $i,Y1 : $i]: 13.02/13.24 (?? 13.02/13.24 (^[Y2 : $i]: 13.02/13.24 (in(Y2, sk_X983_)&in(kpair(Y0, Y2), sk_X984_)& 13.02/13.24 in(kpair(Y2, Y1), sk_X985_)))))), 13.02/13.24 cartprod(sk_X983_, sk_X983_)), 13.02/13.24 inference('cnf', [status(esa)], [zf_stmt_14])). 13.02/13.24 tff('302', plain, $false, inference('sup-', [status(thm)], ['300', '301'])). 13.02/13.24 13.02/13.24 % SZS output end Refutation 13.02/13.24 % Zipperpin 1.5 exiting 13.02/13.24 EOF