0.02/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.15 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.E74tPAuI2E 0.14/0.35 % Computer : n018.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % DateTime : Thu Jul 2 08:52:53 EDT 2020 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 120 s 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.14/0.35 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.51/0.63 % Estimated wc time : 1286 0.51/0.63 % Estimated cpu time (7 cpus) : 183.71428571428572 0.51/0.70 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.51/0.73 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.51/0.75 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.51/0.76 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 0.53/0.78 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 70.66/10.75 % /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s 105.51/15.76 % /export/starexec/sandbox2/solver/bin/lams/b.sh running for 31s 105.51/15.87 % /export/starexec/sandbox2/solver/bin/lams/sh1.sh running for 26s 145.91/21.76 % /export/starexec/sandbox2/solver/bin/lams/b.lsimp.sh running for 17s 146.25/22.00 % /export/starexec/sandbox2/solver/bin/lams/b.split.sh running for 31s 180.46/26.92 % /export/starexec/sandbox2/solver/bin/lams/s4.sh running for 15s 186.91/27.85 % /export/starexec/sandbox2/solver/bin/lams/b.rw.sh running for 26s 195.06/29.08 % /export/starexec/sandbox2/solver/bin/lams/c_ic.sh running for 42s 261.92/38.63 % /export/starexec/sandbox2/solver/bin/lams/s1.f.sh running for 15s 286.06/42.17 % /export/starexec/sandbox2/solver/bin/lams/c.preprocess2.sh running for 21s 334.75/49.77 % /export/starexec/sandbox2/solver/bin/lams/sh.or.sh running for 26s 358.66/53.15 % /export/starexec/sandbox2/solver/bin/lams/new.cs3.comb.sh running for 18s 361.56/53.68 % /export/starexec/sandbox2/solver/bin/lams/old_b2.sh running for 31s 416.99/63.20 % /export/starexec/sandbox2/solver/bin/lams/sp5.sh running for 36s 417.71/63.34 % Solved by lams/new.cs3.comb.sh. 417.71/63.34 % Running : timeout 9 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.E74tPAuI2E/e_input6e6e39 --cpu-limit=7 --auto -s -p. 417.71/63.34 % done 703 iterations in 9.980s 417.71/63.34 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 417.71/63.34 % SZS output start Refutation 417.71/63.34 tff(subbreln1, axiom, subbreln1 <=> 417.71/63.34 (![A,R]: 417.71/63.34 (breln1(A,R) => 417.71/63.34 (![S]: 417.71/63.34 (breln1(A,S) => 417.71/63.34 ((![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,A) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 417.71/63.34 subset(R,S))))))). 417.71/63.34 tff('0', plain, 417.71/63.34 subbreln1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (breln1(X4,X6) => 417.71/63.34 (![X8]: 417.71/63.34 (breln1(X4,X8) => 417.71/63.34 ((![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (in(kpair(X10,X12),X6) => in(kpair(X10,X12),X8)))))) => 417.71/63.34 subset(X6,X8)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(breln1all1, axiom, breln1all1 <=> 417.71/63.34 (![A,R]: 417.71/63.34 (breln1(A,R) => 417.71/63.34 (![Xphi:(($i > $o))]: 417.71/63.34 ((![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,A) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 417.71/63.34 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 417.71/63.34 tff('1', plain, 417.71/63.34 breln1all1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (breln1(X4,X6) => 417.71/63.34 (![X8:(($i > $o))]: 417.71/63.34 ((![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (in(kpair(X10,X12),X6) => X8(kpair(X10,X12))))))) => 417.71/63.34 (![X14]: (in(X14,X6) => X8(X14))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setOfPairsIsBReln1, axiom, setOfPairsIsBReln1 <=> 417.71/63.34 (![A,Xphi:(($i * $i) > $o)]: 417.71/63.34 breln1(A,dpsetconstr(A,A,^[Xx,Xy]: Xphi(Xx,Xy))))). 417.71/63.34 tff('2', plain, 417.71/63.34 setOfPairsIsBReln1 = 417.71/63.34 (![X4,X6:(($i * $i) > $o)]: 417.71/63.34 breln1(X4,dpsetconstr(X4,X4,^[V_1,V_2]: X6(V_1,V_2)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(choice2fnsingleton, axiom, choice2fnsingleton <=> 417.71/63.34 (![A,B,Xphi:(($i * $i) > $o)]: 417.71/63.34 ((![Xx]: (in(Xx,A) => (?[Xy]: (Xphi(Xx,Xy) & in(Xy,B))))) => 417.71/63.34 (![R]: 417.71/63.34 (in(R,breln1Set(B)) => 417.71/63.34 (reflwellordering(B,R) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 singleton(dsetconstr(B, 417.71/63.34 ^[Xy]: 417.71/63.34 (Xphi(Xx,Xy) & 417.71/63.34 (![Xz]: 417.71/63.34 (in(Xz,B) => 417.71/63.34 (Xphi(Xx,Xz) => in(kpair(Xy,Xz),R))))))))))))))). 417.71/63.34 tff('3', plain, 417.71/63.34 choice2fnsingleton = 417.71/63.34 (![X4,X6,X8:(($i * $i) > $o)]: 417.71/63.34 ((![X10]: (in(X10,X4) => (?[X12]: (X8(X10,X12) & in(X12,X6))))) => 417.71/63.34 (![X14]: 417.71/63.34 (in(X14,breln1Set(X6)) => 417.71/63.34 (reflwellordering(X6,X14) => 417.71/63.34 (![X16]: 417.71/63.34 (in(X16,X4) => 417.71/63.34 singleton(dsetconstr(X6, 417.71/63.34 ^[V_1]: 417.71/63.34 (X8(X16,V_1) & 417.71/63.34 (![X18]: 417.71/63.34 (in(X18,X6) => 417.71/63.34 (X8(X16,X18) => 417.71/63.34 in(kpair(V_1,X18),X14)))))))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(breln1SetBreln1, axiom, breln1SetBreln1 <=> 417.71/63.34 (![A,R]: (in(R,breln1Set(A)) => breln1(A,R)))). 417.71/63.34 tff('4', plain, 417.71/63.34 breln1SetBreln1 = (![X4,X6]: (in(X6,breln1Set(X4)) => breln1(X4,X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(breln1all2, axiom, breln1all2 <=> 417.71/63.34 (![A,R]: 417.71/63.34 (breln1(A,R) => 417.71/63.34 (![Xphi:(($i > $o))]: 417.71/63.34 ((![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,A) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 417.71/63.34 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 417.71/63.34 tff('5', plain, 417.71/63.34 breln1all2 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (breln1(X4,X6) => 417.71/63.34 (![X8:(($i > $o))]: 417.71/63.34 ((![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (in(kpair(X10,X12),X6) => X8(kpair(X10,X12))))))) => 417.71/63.34 (![X14]: (in(X14,X6) => X8(X14))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(breln1, axiom, breln1() = ^[A,R]: breln(A,A,R)). 417.71/63.34 tff(breln, axiom, breln() = ^[A,B,C]: subset(C,cartprod(A,B))). 417.71/63.34 tff('6', plain, breln = (^[A,B,C]: subset(C,cartprod(A,B))), 417.71/63.34 inference('simplify_rw_rule', [status(thm)], [breln])). 417.71/63.34 tff('7', plain, breln = (^[V_1,V_2,V_3]: subset(V_3,cartprod(V_1,V_2))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff('8', plain, breln1 = (^[A,R]: breln(A,A,R)), 417.71/63.34 inference('simplify_rw_rule', [status(thm)], [breln1, '7'])). 417.71/63.34 tff('9', plain, breln1 = (^[V_1,V_2]: breln(V_1,V_1,V_2)), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(woz1_5, axiom, woz1_5 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 in(setminus(A,binunion(X,Y)),powerset(setminus(A,X)))))))). 417.71/63.34 tff('10', plain, 417.71/63.34 woz1_5 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 in(setminus(X4,binunion(X6,X8)),powerset(setminus(X4,X6))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(woz1_4, axiom, woz1_4 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X)))))))). 417.71/63.34 tff('11', plain, 417.71/63.34 woz1_4 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (subset(X6,setminus(X4,X8)) => subset(X8,setminus(X4,X6))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(woz1_3, axiom, woz1_3 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Z]: 417.71/63.34 (in(Z,powerset(A)) => 417.71/63.34 in(binintersect(X,Y), 417.71/63.34 powerset(binintersect(binunion(X,Z),binunion(Y,Z))))))))))). 417.71/63.34 tff('12', plain, 417.71/63.34 woz1_3 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,powerset(X4)) => 417.71/63.34 in(binintersect(X6,X8), 417.71/63.34 powerset(binintersect(binunion(X6,X10),binunion(X8,X10)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(woz1_2, axiom, woz1_2 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Z]: 417.71/63.34 (in(Z,powerset(A)) => 417.71/63.34 (![W]: 417.71/63.34 (in(W,powerset(A)) => 417.71/63.34 (setminus(A,binintersect(binunion(X,Y),binunion(Z,W))) = 417.71/63.34 binunion(binintersect(setminus(A,X),setminus(A,Y)), 417.71/63.34 binintersect(setminus(A,Z),setminus(A,W))))))))))))). 417.71/63.34 tff('13', plain, 417.71/63.34 woz1_2 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,powerset(X4)) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,powerset(X4)) => 417.71/63.34 (setminus(X4, 417.71/63.34 binintersect(binunion(X6,X8),binunion(X10,X12))) = 417.71/63.34 binunion(binintersect(setminus(X4,X6),setminus(X4,X8)), 417.71/63.34 binintersect(setminus(X4,X10),setminus(X4,X12)))))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(woz1_1, axiom, woz1_1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 in(setminus(A,X),powerset(setminus(A,binintersect(X,Y))))))))). 417.71/63.34 tff('14', plain, 417.71/63.34 woz1_1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 in(setminus(X4,X6),powerset(setminus(X4,binintersect(X6,X8)))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(woz13rule4, axiom, woz13rule4 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Z]: 417.71/63.34 (in(Z,powerset(A)) => 417.71/63.34 (![W]: 417.71/63.34 (in(W,powerset(A)) => 417.71/63.34 (subset(X,Z) => 417.71/63.34 (subset(Y,W) => 417.71/63.34 subset(binintersect(X,Y),binintersect(Z,W))))))))))))). 417.71/63.34 tff('15', plain, 417.71/63.34 woz13rule4 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,powerset(X4)) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,powerset(X4)) => 417.71/63.34 (subset(X6,X10) => 417.71/63.34 (subset(X8,X12) => 417.71/63.34 subset(binintersect(X6,X8),binintersect(X10,X12)))))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(woz13rule3, axiom, woz13rule3 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Z]: 417.71/63.34 (in(Z,powerset(A)) => 417.71/63.34 (subset(X,Y) => (subset(X,Z) => subset(X,binintersect(Y,Z))))))))))). 417.71/63.34 tff('16', plain, 417.71/63.34 woz13rule3 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,powerset(X4)) => 417.71/63.34 (subset(X6,X8) => 417.71/63.34 (subset(X6,X10) => subset(X6,binintersect(X8,X10)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(woz13rule2, axiom, woz13rule2 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Z]: 417.71/63.34 (in(Z,powerset(A)) => 417.71/63.34 (subset(Y,Z) => subset(binintersect(X,Y),Z))))))))). 417.71/63.34 tff('17', plain, 417.71/63.34 woz13rule2 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,powerset(X4)) => 417.71/63.34 (subset(X8,X10) => subset(binintersect(X6,X8),X10)))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(woz13rule1, axiom, woz13rule1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Z]: 417.71/63.34 (in(Z,powerset(A)) => 417.71/63.34 (subset(X,Z) => subset(binintersect(X,Y),Z))))))))). 417.71/63.34 tff('18', plain, 417.71/63.34 woz13rule1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,powerset(X4)) => 417.71/63.34 (subset(X6,X10) => subset(binintersect(X6,X8),X10)))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(woz13rule0, axiom, woz13rule0 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: (in(Xx,binintersect(X,Y)) => in(Xx,A)))))))). 417.71/63.34 tff('19', plain, 417.71/63.34 woz13rule0 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: (in(X10,binintersect(X6,X8)) => in(X10,X4))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(demorgan2, axiom, demorgan2 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (setminus(A,binunion(X,Y)) = 417.71/63.34 binintersect(setminus(A,X),setminus(A,Y)))))))). 417.71/63.34 tff('20', plain, 417.71/63.34 demorgan2 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (setminus(X4,binunion(X6,X8)) = 417.71/63.34 binintersect(setminus(X4,X6),setminus(X4,X8))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(demorgan2b, axiom, demorgan2b <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,binintersect(setminus(A,X),setminus(A,Y))) => 417.71/63.34 in(Xx,setminus(A,binunion(X,Y))))))))))). 417.71/63.34 tff('21', plain, 417.71/63.34 demorgan2b = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (in(X10,binintersect(setminus(X4,X6),setminus(X4,X8))) => 417.71/63.34 in(X10,setminus(X4,binunion(X6,X8)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(demorgan2b2, axiom, demorgan2b2 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,setminus(A,X)) => 417.71/63.34 (in(Xx,setminus(A,Y)) => in(Xx,setminus(A,binunion(X,Y)))))))))))). 417.71/63.34 tff('22', plain, 417.71/63.34 demorgan2b2 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (in(X10,setminus(X4,X6)) => 417.71/63.34 (in(X10,setminus(X4,X8)) => 417.71/63.34 in(X10,setminus(X4,binunion(X6,X8))))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(demorgan2a, axiom, demorgan2a <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,setminus(A,binunion(X,Y))) => 417.71/63.34 in(Xx,binintersect(setminus(A,X),setminus(A,Y))))))))))). 417.71/63.34 tff('23', plain, 417.71/63.34 demorgan2a = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (in(X10,setminus(X4,binunion(X6,X8))) => 417.71/63.34 in(X10,binintersect(setminus(X4,X6),setminus(X4,X8)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(demorgan1, axiom, demorgan1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (setminus(A,binintersect(X,Y)) = 417.71/63.34 binunion(setminus(A,X),setminus(A,Y)))))))). 417.71/63.34 tff('24', plain, 417.71/63.34 demorgan1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (setminus(X4,binintersect(X6,X8)) = 417.71/63.34 binunion(setminus(X4,X6),setminus(X4,X8))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(demorgan1b, axiom, demorgan1b <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,binunion(setminus(A,X),setminus(A,Y))) => 417.71/63.34 in(Xx,setminus(A,binintersect(X,Y))))))))))). 417.71/63.34 tff('25', plain, 417.71/63.34 demorgan1b = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (in(X10,binunion(setminus(X4,X6),setminus(X4,X8))) => 417.71/63.34 in(X10,setminus(X4,binintersect(X6,X8)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(demorgan1a, axiom, demorgan1a <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,setminus(A,binintersect(X,Y))) => 417.71/63.34 in(Xx,binunion(setminus(A,X),setminus(A,Y))))))))))). 417.71/63.34 tff('26', plain, 417.71/63.34 demorgan1a = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (in(X10,setminus(X4,binintersect(X6,X8))) => 417.71/63.34 in(X10,binunion(setminus(X4,X6),setminus(X4,X8)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(demorgan2a2, axiom, demorgan2a2 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,Y)))))))))). 417.71/63.34 tff('27', plain, 417.71/63.34 demorgan2a2 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (in(X10,setminus(X4,binunion(X6,X8))) => 417.71/63.34 in(X10,setminus(X4,X8))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(complementUnionInPowersetComplement, axiom, 417.71/63.34 complementUnionInPowersetComplement <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 in(setminus(A,binunion(X,Y)),powerset(setminus(A,X)))))))). 417.71/63.34 tff('28', plain, 417.71/63.34 complementUnionInPowersetComplement = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 in(setminus(X4,binunion(X6,X8)),powerset(setminus(X4,X6))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(demorgan2a1, axiom, demorgan2a1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,X)))))))))). 417.71/63.34 tff('29', plain, 417.71/63.34 demorgan2a1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (in(X10,setminus(X4,binunion(X6,X8))) => 417.71/63.34 in(X10,setminus(X4,X6))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binunionTEcontra, axiom, binunionTEcontra <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 ((~in(Xx,X)) => ((~in(Xx,Y)) => (~in(Xx,binunion(X,Y)))))))))))). 417.71/63.34 tff('30', plain, 417.71/63.34 binunionTEcontra = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 ((~in(X10,X6)) => 417.71/63.34 ((~in(X10,X8)) => (~in(X10,binunion(X6,X8))))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binunionTE, axiom, binunionTE <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xphi:$o,Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,binunion(X,Y)) => 417.71/63.34 ((in(Xx,X) => Xphi) => ((in(Xx,Y) => Xphi) => Xphi)))))))))). 417.71/63.34 tff('31', plain, 417.71/63.34 binunionTE = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10:$o,X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (in(X12,binunion(X6,X8)) => 417.71/63.34 ((in(X12,X6) => X10) => ((in(X12,X8) => X10) => X10))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(inComplementUnionImpInComplement1, axiom, 417.71/63.34 inComplementUnionImpInComplement1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,X)))))))))). 417.71/63.34 tff('32', plain, 417.71/63.34 inComplementUnionImpInComplement1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (in(X10,setminus(X4,binunion(X6,X8))) => 417.71/63.34 in(X10,setminus(X4,X6))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(inComplementUnionImpNotIn1, axiom, inComplementUnionImpNotIn1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => (in(Xx,setminus(A,binunion(X,Y))) => (~in(Xx,X)))))))))). 417.71/63.34 tff('33', plain, 417.71/63.34 inComplementUnionImpNotIn1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (in(X10,setminus(X4,binunion(X6,X8))) => (~in(X10,X6))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(intersectInPowersetIntersectUnions, axiom, 417.71/63.34 intersectInPowersetIntersectUnions <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Z]: 417.71/63.34 (in(Z,powerset(A)) => 417.71/63.34 in(binintersect(X,Y), 417.71/63.34 powerset(binintersect(binunion(X,Z),binunion(Y,Z))))))))))). 417.71/63.34 tff('34', plain, 417.71/63.34 intersectInPowersetIntersectUnions = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,powerset(X4)) => 417.71/63.34 in(binintersect(X6,X8), 417.71/63.34 powerset(binintersect(binunion(X6,X10),binunion(X8,X10)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(inIntersectImpInIntersectUnions, axiom, 417.71/63.34 inIntersectImpInIntersectUnions <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Z]: 417.71/63.34 (in(Z,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,binintersect(X,Y)) => 417.71/63.34 in(Xx,binintersect(binunion(X,Z),binunion(Y,Z))))))))))))). 417.71/63.34 tff('35', plain, 417.71/63.34 inIntersectImpInIntersectUnions = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,powerset(X4)) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (in(X12,binintersect(X6,X8)) => 417.71/63.34 in(X12,binintersect(binunion(X6,X10),binunion(X8,X10)))))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(inIntersectImpInUnion2, axiom, inIntersectImpInUnion2 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Z]: 417.71/63.34 (in(Z,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,binintersect(X,Y)) => in(Xx,binunion(Y,Z)))))))))))). 417.71/63.34 tff('36', plain, 417.71/63.34 inIntersectImpInUnion2 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,powerset(X4)) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (in(X12,binintersect(X6,X8)) => in(X12,binunion(X8,X10))))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(inIntersectImpInUnion, axiom, inIntersectImpInUnion <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Z]: 417.71/63.34 (in(Z,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,binintersect(X,Y)) => in(Xx,binunion(X,Z)))))))))))). 417.71/63.34 tff('37', plain, 417.71/63.34 inIntersectImpInUnion = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,powerset(X4)) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (in(X12,binintersect(X6,X8)) => in(X12,binunion(X6,X10))))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binunionTIRcontra, axiom, binunionTIRcontra <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,Y)))))))))). 417.71/63.34 tff('38', plain, 417.71/63.34 binunionTIRcontra = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => ((~in(X10,binunion(X6,X8))) => (~in(X10,X8))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binunionTILcontra, axiom, binunionTILcontra <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,X)))))))))). 417.71/63.34 tff('39', plain, 417.71/63.34 binunionTILcontra = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => ((~in(X10,binunion(X6,X8))) => (~in(X10,X6))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(complementTcontraSubset, axiom, complementTcontraSubset <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X)))))))). 417.71/63.34 tff('40', plain, 417.71/63.34 complementTcontraSubset = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (subset(X6,setminus(X4,X8)) => subset(X8,setminus(X4,X6))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(contraSubsetComplement, axiom, contraSubsetComplement <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (subset(X,setminus(A,Y)) => 417.71/63.34 (![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,setminus(A,X))))))))))). 417.71/63.34 tff('41', plain, 417.71/63.34 contraSubsetComplement = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (subset(X6,setminus(X4,X8)) => 417.71/63.34 (![X10]: (in(X10,X4) => (in(X10,X8) => in(X10,setminus(X4,X6)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(complementInPowersetComplementIntersect, axiom, 417.71/63.34 complementInPowersetComplementIntersect <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 in(setminus(A,X),powerset(setminus(A,binintersect(X,Y))))))))). 417.71/63.34 tff('42', plain, 417.71/63.34 complementInPowersetComplementIntersect = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 in(setminus(X4,X6),powerset(setminus(X4,binintersect(X6,X8)))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(complementSubsetComplementIntersect, axiom, 417.71/63.34 complementSubsetComplementIntersect <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 subset(setminus(A,X),setminus(A,binintersect(X,Y)))))))). 417.71/63.34 tff('43', plain, 417.71/63.34 complementSubsetComplementIntersect = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 subset(setminus(X4,X6),setminus(X4,binintersect(X6,X8))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(complementImpComplementIntersect, axiom, 417.71/63.34 complementImpComplementIntersect <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,setminus(A,X)) => in(Xx,setminus(A,binintersect(X,Y))))))))))). 417.71/63.34 tff('44', plain, 417.71/63.34 complementImpComplementIntersect = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (in(X10,setminus(X4,X6)) => 417.71/63.34 in(X10,setminus(X4,binintersect(X6,X8)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(complementTnotintersectT, axiom, complementTnotintersectT <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (in(Xx,setminus(A,X)) => (~in(Xx,binintersect(X,Y))))))))))). 417.71/63.34 tff('45', plain, 417.71/63.34 complementTnotintersectT = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (in(X10,setminus(X4,X6)) => (~in(X10,binintersect(X6,X8)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(doubleComplementEq, axiom, doubleComplementEq <=> 417.71/63.34 (![A,X]: (in(X,powerset(A)) => (X = setminus(A,setminus(A,X)))))). 417.71/63.34 tff('46', plain, 417.71/63.34 doubleComplementEq = 417.71/63.34 (![X4,X6]: (in(X6,powerset(X4)) => (X6 = setminus(X4,setminus(X4,X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(doubleComplementSub2, axiom, doubleComplementSub2 <=> 417.71/63.34 (![A,X]: (in(X,powerset(A)) => subset(setminus(A,setminus(A,X)),X)))). 417.71/63.34 tff('47', plain, 417.71/63.34 doubleComplementSub2 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => subset(setminus(X4,setminus(X4,X6)),X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(doubleComplementSub1, axiom, doubleComplementSub1 <=> 417.71/63.34 (![A,X]: (in(X,powerset(A)) => subset(X,setminus(A,setminus(A,X)))))). 417.71/63.34 tff('48', plain, 417.71/63.34 doubleComplementSub1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => subset(X6,setminus(X4,setminus(X4,X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(doubleComplementE1, axiom, doubleComplementE1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Xx]: (in(Xx,A) => (in(Xx,setminus(A,setminus(A,X))) => in(Xx,X))))))). 417.71/63.34 tff('49', plain, 417.71/63.34 doubleComplementE1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,X4) => (in(X8,setminus(X4,setminus(X4,X6))) => in(X8,X6)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(doubleComplementI1, axiom, doubleComplementI1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,setminus(A,setminus(A,X))))))))). 417.71/63.34 tff('50', plain, 417.71/63.34 doubleComplementI1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,X4) => (in(X8,X6) => in(X8,setminus(X4,setminus(X4,X6)))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(contrasubsetT3, axiom, contrasubsetT3 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (subset(setminus(A,Y),setminus(A,X)) => subset(X,Y))))))). 417.71/63.34 tff('51', plain, 417.71/63.34 contrasubsetT3 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (subset(setminus(X4,X8),setminus(X4,X6)) => subset(X6,X8)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(contrasubsetT2, axiom, contrasubsetT2 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (subset(X,Y) => subset(setminus(A,Y),setminus(A,X)))))))). 417.71/63.34 tff('52', plain, 417.71/63.34 contrasubsetT2 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (subset(X6,X8) => subset(setminus(X4,X8),setminus(X4,X6))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(contrasubsetT1, axiom, contrasubsetT1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: (in(Xx,A) => (subset(X,Y) => ((~in(Xx,Y)) => (~in(Xx,X))))))))))). 417.71/63.34 tff('53', plain, 417.71/63.34 contrasubsetT1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (subset(X6,X8) => ((~in(X10,X8)) => (~in(X10,X6)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(contrasubsetT, axiom, contrasubsetT <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (subset(X,setminus(A,Y)) => (in(Xx,Y) => (~in(Xx,X))))))))))). 417.71/63.34 tff('54', plain, 417.71/63.34 contrasubsetT = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (subset(X6,setminus(X4,X8)) => (in(X10,X8) => (~in(X10,X6)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectTERcontra, axiom, binintersectTERcontra <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: (in(Xx,A) => ((~in(Xx,Y)) => (~in(Xx,binintersect(X,Y))))))))))). 417.71/63.34 tff('55', plain, 417.71/63.34 binintersectTERcontra = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 ((~in(X10,X8)) => (~in(X10,binintersect(X6,X8)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectTELcontra, axiom, binintersectTELcontra <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: (in(Xx,A) => ((~in(Xx,X)) => (~in(Xx,binintersect(X,Y))))))))))). 417.71/63.34 tff('56', plain, 417.71/63.34 binintersectTELcontra = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 ((~in(X10,X6)) => (~in(X10,binintersect(X6,X8)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(complementTE1, axiom, complementTE1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Xx]: (in(Xx,A) => ((~in(Xx,setminus(A,X))) => in(Xx,X))))))). 417.71/63.34 tff('57', plain, 417.71/63.34 complementTE1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: (in(X8,X4) => ((~in(X8,setminus(X4,X6))) => in(X8,X6)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(complementTI1, axiom, complementTI1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Xx]: (in(Xx,A) => (in(Xx,X) => (~in(Xx,setminus(A,X))))))))). 417.71/63.34 tff('58', plain, 417.71/63.34 complementTI1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: (in(X8,X4) => (in(X8,X6) => (~in(X8,setminus(X4,X6)))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(powersetTE1, axiom, powersetTE1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 (![Xx]: (in(Xx,A) => (in(X,powerset(Y)) => (in(Xx,X) => in(Xx,Y)))))))))). 417.71/63.34 tff('59', plain, 417.71/63.34 powersetTE1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (in(X6,powerset(X8)) => (in(X10,X6) => in(X10,X8))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(powersetTI1, axiom, powersetTI1 <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => in(X,powerset(Y)))))))). 417.71/63.34 tff('60', plain, 417.71/63.34 powersetTI1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 417.71/63.34 in(X6,powerset(X8))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(subsetTI, axiom, subsetTI <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y))))))). 417.71/63.34 tff('61', plain, 417.71/63.34 subsetTI = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 417.71/63.34 subset(X6,X8)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setextT, axiom, setextT <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: 417.71/63.34 (in(Y,powerset(A)) => 417.71/63.34 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => 417.71/63.34 ((![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,X)))) => (X = Y)))))))). 417.71/63.34 tff('62', plain, 417.71/63.34 setextT = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,powerset(X4)) => 417.71/63.34 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 417.71/63.34 ((![X12]: (in(X12,X4) => (in(X12,X8) => in(X12,X6)))) => 417.71/63.34 (X6 = X8))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(complementT_lem, axiom, complementT_lem <=> 417.71/63.34 (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A))))). 417.71/63.34 tff('63', plain, 417.71/63.34 complementT_lem = 417.71/63.34 (![X4,X6]: (in(X6,powerset(X4)) => in(setminus(X4,X6),powerset(X4)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setminusT_lem, axiom, setminusT_lem <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: (in(Y,powerset(A)) => in(setminus(X,Y),powerset(A))))))). 417.71/63.34 tff('64', plain, 417.71/63.34 setminusT_lem = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: (in(X8,powerset(X4)) => in(setminus(X6,X8),powerset(X4)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(powersetT_lem, axiom, powersetT_lem <=> 417.71/63.34 (![A,X]: (in(X,powerset(A)) => in(powerset(X),powerset(powerset(A)))))). 417.71/63.34 tff('65', plain, 417.71/63.34 powersetT_lem = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => in(powerset(X6),powerset(powerset(X4))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binunionT_lem, axiom, binunionT_lem <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A))))))). 417.71/63.34 tff('66', plain, 417.71/63.34 binunionT_lem = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: (in(X8,powerset(X4)) => in(binunion(X6,X8),powerset(X4)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectT_lem, axiom, binintersectT_lem <=> 417.71/63.34 (![A,X]: 417.71/63.34 (in(X,powerset(A)) => 417.71/63.34 (![Y]: (in(Y,powerset(A)) => in(binintersect(X,Y),powerset(A))))))). 417.71/63.34 tff('67', plain, 417.71/63.34 binintersectT_lem = 417.71/63.34 (![X4,X6]: 417.71/63.34 (in(X6,powerset(X4)) => 417.71/63.34 (![X8]: (in(X8,powerset(X4)) => in(binintersect(X6,X8),powerset(X4)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(iftrueorfalse, axiom, iftrueorfalse <=> 417.71/63.34 (![A,Xphi:$o,Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,A) => 417.71/63.34 in(if(A,Xphi,Xx,Xy),setadjoin(Xx,setadjoin(Xy,emptyset)))))))). 417.71/63.34 tff('68', plain, 417.71/63.34 iftrueorfalse = 417.71/63.34 (![X4,X6:$o,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 in(if(X4,X6,X8,X10),setadjoin(X8,setadjoin(X10,emptyset))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(iffalse, axiom, iffalse <=> 417.71/63.34 (![A,Xphi:$o,Xx]: 417.71/63.34 (in(Xx,A) => (![Xy]: (in(Xy,A) => ((~Xphi) => (if(A,Xphi,Xx,Xy) = Xy))))))). 417.71/63.34 tff('69', plain, 417.71/63.34 iffalse = 417.71/63.34 (![X4,X6:$o,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: (in(X10,X4) => ((~X6) => (if(X4,X6,X8,X10) = X10)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(iftrue, axiom, iftrue <=> 417.71/63.34 (![A,Xphi:$o,Xx]: 417.71/63.34 (in(Xx,A) => (![Xy]: (in(Xy,A) => (Xphi => (if(A,Xphi,Xx,Xy) = Xx))))))). 417.71/63.34 tff('70', plain, 417.71/63.34 iftrue = 417.71/63.34 (![X4,X6:$o,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: (in(X10,X4) => (X6 => (if(X4,X6,X8,X10) = X8)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(theeq, axiom, theeq <=> 417.71/63.34 (![X]: (singleton(X) => (![Xx]: (in(Xx,X) => (setunion(X) = Xx)))))). 417.71/63.34 tff('71', plain, 417.71/63.34 theeq = 417.71/63.34 (![X4]: (singleton(X4) => (![X6]: (in(X6,X4) => (setunion(X4) = X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ifp, axiom, ifp <=> 417.71/63.34 (![A,Xphi:$o,Xx]: 417.71/63.34 (in(Xx,A) => (![Xy]: (in(Xy,A) => in(if(A,Xphi,Xx,Xy),A)))))). 417.71/63.34 tff('72', plain, 417.71/63.34 ifp = 417.71/63.34 (![X4,X6:$o,X8]: 417.71/63.34 (in(X8,X4) => (![X10]: (in(X10,X4) => in(if(X4,X6,X8,X10),X4))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ifSingleton, axiom, ifSingleton <=> 417.71/63.34 (![A,Xphi:$o,Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,A) => 417.71/63.34 singleton(dsetconstr(A, 417.71/63.34 ^[Xz]: 417.71/63.34 ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy)))))))))). 417.71/63.34 tff('73', plain, 417.71/63.34 ifSingleton = 417.71/63.34 (![X4,X6:$o,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 singleton(dsetconstr(X4, 417.71/63.34 ^[V_1]: 417.71/63.34 ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(iftrueProp2, axiom, iftrueProp2 <=> 417.71/63.34 (![A,Xphi:$o,Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,A) => 417.71/63.34 (Xphi => 417.71/63.34 (dsetconstr(A,^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy)))) = 417.71/63.34 setadjoin(Xx,emptyset)))))))). 417.71/63.34 tff('74', plain, 417.71/63.34 iftrueProp2 = 417.71/63.34 (![X4,X6:$o,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (X6 => 417.71/63.34 (dsetconstr(X4, 417.71/63.34 ^[V_1]: ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))) = 417.71/63.34 setadjoin(X8,emptyset))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(iftrueProp1, axiom, iftrueProp1 <=> 417.71/63.34 (![A,Xphi:$o,Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,A) => 417.71/63.34 (Xphi => 417.71/63.34 in(Xx, 417.71/63.34 dsetconstr(A, 417.71/63.34 ^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy))))))))))). 417.71/63.34 tff('75', plain, 417.71/63.34 iftrueProp1 = 417.71/63.34 (![X4,X6:$o,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (X6 => 417.71/63.34 in(X8, 417.71/63.34 dsetconstr(X4, 417.71/63.34 ^[V_1]: 417.71/63.34 ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(iffalseProp2, axiom, iffalseProp2 <=> 417.71/63.34 (![A,Xphi:$o,Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,A) => 417.71/63.34 ((~Xphi) => 417.71/63.34 (dsetconstr(A,^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy)))) = 417.71/63.34 setadjoin(Xy,emptyset)))))))). 417.71/63.34 tff('76', plain, 417.71/63.34 iffalseProp2 = 417.71/63.34 (![X4,X6:$o,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 ((~X6) => 417.71/63.34 (dsetconstr(X4, 417.71/63.34 ^[V_1]: ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))) = 417.71/63.34 setadjoin(X10,emptyset))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(iffalseProp1, axiom, iffalseProp1 <=> 417.71/63.34 (![A,Xphi:$o,Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,A) => 417.71/63.34 ((~Xphi) => 417.71/63.34 in(Xy, 417.71/63.34 dsetconstr(A, 417.71/63.34 ^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy))))))))))). 417.71/63.34 tff('77', plain, 417.71/63.34 iffalseProp1 = 417.71/63.34 (![X4,X6:$o,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 ((~X6) => 417.71/63.34 in(X10, 417.71/63.34 dsetconstr(X4, 417.71/63.34 ^[V_1]: 417.71/63.34 ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(eta2, axiom, eta2 <=> 417.71/63.34 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 417.71/63.34 tff('78', plain, 417.71/63.34 eta2 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,funcSet(X4,X6)) => (lam(X4,X6,^[V_1]: ap(X4,X6,X8,V_1)) = X8))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(beta2, axiom, beta2 <=> 417.71/63.34 (![A,B,Xf:(($i > $i))]: 417.71/63.34 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 417.71/63.34 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 417.71/63.34 tff('79', plain, 417.71/63.34 beta2 = 417.71/63.34 (![X4,X6,X8:(($i > $i))]: 417.71/63.34 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (ap(X4,X6,lam(X4,X6,^[V_1]: X8(V_1)),X12) = X8(X12)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(lam2lamEq, axiom, lam2lamEq <=> 417.71/63.34 (![A,B,Xf:(($i > $i))]: 417.71/63.34 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 417.71/63.34 (lam(A,B,^[Xx]: Xf(Xx)) = lam(A,B,^[Xx]: Xf(Xx)))))). 417.71/63.34 tff('80', plain, 417.71/63.34 lam2lamEq = 417.71/63.34 (![X4,X6,X8:(($i > $i))]: 417.71/63.34 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 417.71/63.34 (lam(X4,X6,^[V_1]: X8(V_1)) = lam(X4,X6,^[V_2]: X8(V_2))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(eta1, axiom, eta1 <=> 417.71/63.34 (![A,B,Xf]: (func(A,B,Xf) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 417.71/63.34 tff('81', plain, 417.71/63.34 eta1 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (func(X4,X6,X8) => (lam(X4,X6,^[V_1]: ap(X4,X6,X8,V_1)) = X8))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(beta1, axiom, beta1 <=> 417.71/63.34 (![A,B,Xf:(($i > $i))]: 417.71/63.34 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 417.71/63.34 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 417.71/63.34 tff('82', plain, 417.71/63.34 beta1 = 417.71/63.34 (![X4,X6,X8:(($i > $i))]: 417.71/63.34 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (ap(X4,X6,lam(X4,X6,^[V_1]: X8(V_1)),X12) = X8(X12)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ap2apEq2, axiom, ap2apEq2 <=> 417.71/63.34 (![A,B,Xf]: 417.71/63.34 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 417.71/63.34 tff('83', plain, 417.71/63.34 ap2apEq2 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (func(X4,X6,X8) => 417.71/63.34 (![X10]: (in(X10,X4) => (ap(X4,X6,X8,X10) = ap(X4,X6,X8,X10)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ap2apEq1, axiom, ap2apEq1 <=> 417.71/63.34 (![A,B,Xf]: 417.71/63.34 (in(Xf,funcSet(A,B)) => 417.71/63.34 (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 417.71/63.34 tff('84', plain, 417.71/63.34 ap2apEq1 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,funcSet(X4,X6)) => 417.71/63.34 (![X10]: (in(X10,X4) => (ap(X4,X6,X8,X10) = ap(X4,X6,X8,X10)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(funcext2, axiom, funcext2 <=> 417.71/63.34 (![A,B,Xf]: 417.71/63.34 (in(Xf,funcSet(A,B)) => 417.71/63.34 (![Xg]: 417.71/63.34 (in(Xg,funcSet(A,B)) => 417.71/63.34 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 417.71/63.34 (Xf = Xg))))))). 417.71/63.34 tff('85', plain, 417.71/63.34 funcext2 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,funcSet(X4,X6)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,funcSet(X4,X6)) => 417.71/63.34 ((![X12]: (in(X12,X4) => (ap(X4,X6,X8,X12) = ap(X4,X6,X10,X12)))) => 417.71/63.34 (X8 = X10)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(funcext, axiom, funcext <=> 417.71/63.34 (![A,B,Xf]: 417.71/63.34 (func(A,B,Xf) => 417.71/63.34 (![Xg]: 417.71/63.34 (func(A,B,Xg) => 417.71/63.34 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 417.71/63.34 (Xf = Xg))))))). 417.71/63.34 tff('86', plain, 417.71/63.34 funcext = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (func(X4,X6,X8) => 417.71/63.34 (![X10]: 417.71/63.34 (func(X4,X6,X10) => 417.71/63.34 ((![X12]: (in(X12,X4) => (ap(X4,X6,X8,X12) = ap(X4,X6,X10,X12)))) => 417.71/63.34 (X8 = X10)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(eqbreln, axiom, eqbreln <=> 417.71/63.34 (![A,B,R]: 417.71/63.34 (breln(A,B,R) => 417.71/63.34 (![S]: 417.71/63.34 (breln(A,B,S) => 417.71/63.34 ((![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 417.71/63.34 ((![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),R)))))) => 417.71/63.34 (R = S)))))))). 417.71/63.34 tff('87', plain, 417.71/63.34 eqbreln = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (breln(X4,X6,X8) => 417.71/63.34 (![X10]: 417.71/63.34 (breln(X4,X6,X10) => 417.71/63.34 ((![X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (![X14]: 417.71/63.34 (in(X14,X6) => 417.71/63.34 (in(kpair(X12,X14),X8) => in(kpair(X12,X14),X10)))))) => 417.71/63.34 ((![X16]: 417.71/63.34 (in(X16,X4) => 417.71/63.34 (![X18]: 417.71/63.34 (in(X18,X6) => 417.71/63.34 (in(kpair(X16,X18),X10) => in(kpair(X16,X18),X8)))))) => 417.71/63.34 (X8 = X10))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(subbreln, axiom, subbreln <=> 417.71/63.34 (![A,B,R]: 417.71/63.34 (breln(A,B,R) => 417.71/63.34 (![S]: 417.71/63.34 (breln(A,B,S) => 417.71/63.34 ((![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 417.71/63.34 subset(R,S))))))). 417.71/63.34 tff('88', plain, 417.71/63.34 subbreln = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (breln(X4,X6,X8) => 417.71/63.34 (![X10]: 417.71/63.34 (breln(X4,X6,X10) => 417.71/63.34 ((![X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (![X14]: 417.71/63.34 (in(X14,X6) => 417.71/63.34 (in(kpair(X12,X14),X8) => in(kpair(X12,X14),X10)))))) => 417.71/63.34 subset(X8,X10)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(funcGraphProp4, axiom, funcGraphProp4 <=> 417.71/63.34 (![A,B,Xf]: 417.71/63.34 (in(Xf,funcSet(A,B)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 417.71/63.34 tff('89', plain, 417.71/63.34 funcGraphProp4 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,funcSet(X4,X6)) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,X6) => 417.71/63.34 (in(kpair(X10,X12),X8) => (ap(X4,X6,X8,X10) = X12)))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(funcextLem, axiom, funcextLem <=> 417.71/63.34 (![A,B,Xf]: 417.71/63.34 (func(A,B,Xf) => 417.71/63.34 (![Xg]: 417.71/63.34 (func(A,B,Xg) => 417.71/63.34 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => (in(kpair(Xx,Xy),Xg) => in(kpair(Xx,Xy),Xf)))))))))))). 417.71/63.34 tff('90', plain, 417.71/63.34 funcextLem = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (func(X4,X6,X8) => 417.71/63.34 (![X10]: 417.71/63.34 (func(X4,X6,X10) => 417.71/63.34 ((![X12]: (in(X12,X4) => (ap(X4,X6,X8,X12) = ap(X4,X6,X10,X12)))) => 417.71/63.34 (![X14]: 417.71/63.34 (in(X14,X4) => 417.71/63.34 (![X16]: 417.71/63.34 (in(X16,X6) => 417.71/63.34 (in(kpair(X14,X16),X10) => in(kpair(X14,X16),X8))))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(funcGraphProp2, axiom, funcGraphProp2 <=> 417.71/63.34 (![A,B,Xf]: 417.71/63.34 (func(A,B,Xf) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 417.71/63.34 tff('91', plain, 417.71/63.34 funcGraphProp2 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (func(X4,X6,X8) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,X6) => 417.71/63.34 (in(kpair(X10,X12),X8) => (ap(X4,X6,X8,X10) = X12)))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(funcGraphProp3, axiom, funcGraphProp3 <=> 417.71/63.34 (![A,B,Xf]: 417.71/63.34 (in(Xf,funcSet(A,B)) => 417.71/63.34 (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 417.71/63.34 tff('92', plain, 417.71/63.34 funcGraphProp3 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,funcSet(X4,X6)) => 417.71/63.34 (![X10]: (in(X10,X4) => in(kpair(X10,ap(X4,X6,X8,X10)),X8))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(funcGraphProp1, axiom, funcGraphProp1 <=> 417.71/63.34 (![A,B,Xf]: 417.71/63.34 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 417.71/63.34 tff('93', plain, 417.71/63.34 funcGraphProp1 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (func(X4,X6,X8) => 417.71/63.34 (![X10]: (in(X10,X4) => in(kpair(X10,ap(X4,X6,X8,X10)),X8))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ex1E2, axiom, ex1E2 <=> 417.71/63.34 (![A,Xphi:(($i > $o))]: 417.71/63.34 (ex1(A,^[Xx]: Xphi(Xx)) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))))))))). 417.71/63.34 tff('94', plain, 417.71/63.34 ex1E2 = 417.71/63.34 (![X4,X6:(($i > $o))]: 417.71/63.34 (ex1(X4,^[V_1]: X6(V_1)) => 417.71/63.34 (![X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: (in(X10,X4) => (X6(X8) => (X6(X10) => (X8 = X10))))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(brelnall2, axiom, brelnall2 <=> 417.71/63.34 (![A,B,R]: 417.71/63.34 (breln(A,B,R) => 417.71/63.34 (![Xphi:(($i > $o))]: 417.71/63.34 ((![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 417.71/63.34 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 417.71/63.34 tff('95', plain, 417.71/63.34 brelnall2 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (breln(X4,X6,X8) => 417.71/63.34 (![X10:(($i > $o))]: 417.71/63.34 ((![X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (![X14]: 417.71/63.34 (in(X14,X6) => 417.71/63.34 (in(kpair(X12,X14),X8) => X10(kpair(X12,X14))))))) => 417.71/63.34 (![X16]: (in(X16,X8) => X10(X16))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(brelnall1, axiom, brelnall1 <=> 417.71/63.34 (![A,B,R]: 417.71/63.34 (breln(A,B,R) => 417.71/63.34 (![Xphi:(($i > $o))]: 417.71/63.34 ((![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 417.71/63.34 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 417.71/63.34 tff('96', plain, 417.71/63.34 brelnall1 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (breln(X4,X6,X8) => 417.71/63.34 (![X10:(($i > $o))]: 417.71/63.34 ((![X12]: 417.71/63.34 (in(X12,X4) => 417.71/63.34 (![X14]: 417.71/63.34 (in(X14,X6) => 417.71/63.34 (in(kpair(X12,X14),X8) => X10(kpair(X12,X14))))))) => 417.71/63.34 (![X16]: (in(X16,X8) => X10(X16))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(lam2p, axiom, lam2p <=> 417.71/63.34 (![A,B,Xf:(($i > $i))]: 417.71/63.34 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 417.71/63.34 in(lam(A,B,^[Xx]: Xf(Xx)),funcSet(A,B))))). 417.71/63.34 tff('97', plain, 417.71/63.34 lam2p = 417.71/63.34 (![X4,X6,X8:(($i > $i))]: 417.71/63.34 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 417.71/63.34 in(lam(X4,X6,^[V_1]: X8(V_1)),funcSet(X4,X6)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(lamp, axiom, lamp <=> 417.71/63.34 (![A,B,Xf:(($i > $i))]: 417.71/63.34 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => func(A,B,lam(A,B,^[Xx]: Xf(Xx)))))). 417.71/63.34 tff('98', plain, 417.71/63.34 lamp = 417.71/63.34 (![X4,X6,X8:(($i > $i))]: 417.71/63.34 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 417.71/63.34 func(X4,X6,lam(X4,X6,^[V_1]: X8(V_1))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(lamProp, axiom, lamProp <=> 417.71/63.34 (![A,B,Xf:(($i > $i))]: 417.71/63.34 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 417.71/63.34 func(A,B,dpsetconstr(A,B,^[Xx,Xy]: (Xf(Xx) = Xy)))))). 417.71/63.34 tff('99', plain, 417.71/63.34 lamProp = 417.71/63.34 (![X4,X6,X8:(($i > $i))]: 417.71/63.34 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 417.71/63.34 func(X4,X6,dpsetconstr(X4,X6,^[V_1,V_2]: (X8(V_1) = V_2))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(funcinfuncset, axiom, funcinfuncset <=> 417.71/63.34 (![A,B,Xf]: (func(A,B,Xf) => in(Xf,funcSet(A,B))))). 417.71/63.34 tff('100', plain, 417.71/63.34 funcinfuncset = (![X4,X6,X8]: (func(X4,X6,X8) => in(X8,funcSet(X4,X6)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ap2p, axiom, ap2p <=> 417.71/63.34 (![A,B,Xf]: 417.71/63.34 (in(Xf,funcSet(A,B)) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 417.71/63.34 tff('101', plain, 417.71/63.34 ap2p = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,funcSet(X4,X6)) => 417.71/63.34 (![X10]: (in(X10,X4) => in(ap(X4,X6,X8,X10),X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(infuncsetfunc, axiom, infuncsetfunc <=> 417.71/63.34 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => func(A,B,Xf)))). 417.71/63.34 tff('102', plain, 417.71/63.34 infuncsetfunc = (![X4,X6,X8]: (in(X8,funcSet(X4,X6)) => func(X4,X6,X8))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(app, axiom, app <=> 417.71/63.34 (![A,B,Xf]: (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 417.71/63.34 tff('103', plain, 417.71/63.34 app = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (func(X4,X6,X8) => (![X10]: (in(X10,X4) => in(ap(X4,X6,X8,X10),X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(apProp, axiom, apProp <=> 417.71/63.34 (![A,B,Xf]: 417.71/63.34 (func(A,B,Xf) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 in(setunion(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf))),B)))))). 417.71/63.34 tff('104', plain, 417.71/63.34 apProp = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (func(X4,X6,X8) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 in(setunion(dsetconstr(X6,^[V_1]: in(kpair(X10,V_1),X8))),X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(funcImageSingleton, axiom, funcImageSingleton <=> 417.71/63.34 (![A,B,Xf]: 417.71/63.34 (func(A,B,Xf) => 417.71/63.34 (![Xx]: 417.71/63.34 (in(Xx,A) => singleton(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf)))))))). 417.71/63.34 tff('105', plain, 417.71/63.34 funcImageSingleton = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (func(X4,X6,X8) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 singleton(dsetconstr(X6,^[V_1]: in(kpair(X10,V_1),X8))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(dpsetconstrER, axiom, dpsetconstrER <=> 417.71/63.34 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 417.71/63.34 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => Xphi(Xx,Xy)))). 417.71/63.34 tff('106', plain, 417.71/63.34 dpsetconstrER = 417.71/63.34 (![X4,X6,X8:(($i * $i) > $o),X10,X12]: 417.71/63.34 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 417.71/63.34 X8(X10,X12))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(dpsetconstrEL2, axiom, dpsetconstrEL2 <=> 417.71/63.34 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 417.71/63.34 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xy,B)))). 417.71/63.34 tff('107', plain, 417.71/63.34 dpsetconstrEL2 = 417.71/63.34 (![X4,X6,X8:(($i * $i) > $o),X10,X12]: 417.71/63.34 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 417.71/63.34 in(X12,X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(dpsetconstrEL1, axiom, dpsetconstrEL1 <=> 417.71/63.34 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 417.71/63.34 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xx,A)))). 417.71/63.34 tff('108', plain, 417.71/63.34 dpsetconstrEL1 = 417.71/63.34 (![X4,X6,X8:(($i * $i) > $o),X10,X12]: 417.71/63.34 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 417.71/63.34 in(X10,X4))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(dpsetconstrERa, axiom, dpsetconstrERa <=> 417.71/63.34 (![A,B,Xphi:(($i * $i) > $o),Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => 417.71/63.34 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => 417.71/63.34 Xphi(Xx,Xy))))))). 417.71/63.34 tff('109', plain, 417.71/63.34 dpsetconstrERa = 417.71/63.34 (![X4,X6,X8:(($i * $i) > $o),X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,X6) => 417.71/63.34 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 417.71/63.34 X8(X10,X12)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setOfPairsIsBReln, axiom, setOfPairsIsBReln <=> 417.71/63.34 (![A,B,Xphi:(($i * $i) > $o)]: 417.71/63.34 breln(A,B,dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy))))). 417.71/63.34 tff('110', plain, 417.71/63.34 setOfPairsIsBReln = 417.71/63.34 (![X4,X6,X8:(($i * $i) > $o)]: 417.71/63.34 breln(X4,X6,dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(dpsetconstrSub, axiom, dpsetconstrSub <=> 417.71/63.34 (![A,B,Xphi:(($i * $i) > $o)]: 417.71/63.34 subset(dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy)),cartprod(A,B)))). 417.71/63.34 tff('111', plain, 417.71/63.34 dpsetconstrSub = 417.71/63.34 (![X4,X6,X8:(($i * $i) > $o)]: 417.71/63.34 subset(dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)),cartprod(X4,X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(dpsetconstrI, axiom, dpsetconstrI <=> 417.71/63.34 (![A,B,Xphi:(($i * $i) > $o),Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => 417.71/63.34 (Xphi(Xx,Xy) => 417.71/63.34 in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))))))))). 417.71/63.34 tff('112', plain, 417.71/63.34 dpsetconstrI = 417.71/63.34 (![X4,X6,X8:(($i * $i) > $o),X10]: 417.71/63.34 (in(X10,X4) => 417.71/63.34 (![X12]: 417.71/63.34 (in(X12,X6) => 417.71/63.34 (X8(X10,X12) => 417.71/63.34 in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(cartprodpairsurjEq, axiom, cartprodpairsurjEq <=> 417.71/63.34 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 417.71/63.34 tff('113', plain, 417.71/63.34 cartprodpairsurjEq = 417.71/63.34 (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => (kpair(kfst(X8),ksnd(X8)) = X8))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(cartprodsndpairEq, axiom, cartprodsndpairEq <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (ksnd(kpair(Xx,Xy)) = Xy)))))). 417.71/63.34 tff('114', plain, 417.71/63.34 cartprodsndpairEq = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,X4) => (![X10]: (in(X10,X6) => (ksnd(kpair(X8,X10)) = X10))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(cartprodfstpairEq, axiom, cartprodfstpairEq <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (kfst(kpair(Xx,Xy)) = Xx)))))). 417.71/63.34 tff('115', plain, 417.71/63.34 cartprodfstpairEq = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,X4) => (![X10]: (in(X10,X6) => (kfst(kpair(X8,X10)) = X8))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(cartprodmempaircEq, axiom, cartprodmempaircEq <=> 417.71/63.34 (![A,B,Xx]: 417.71/63.34 (in(Xx,A) => (![Xy]: (in(Xy,B) => (kpair(Xx,Xy) = kpair(Xx,Xy))))))). 417.71/63.34 tff('116', plain, 417.71/63.34 cartprodmempaircEq = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: (in(X10,X6) => (kpair(X8,X10) = kpair(X8,X10)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(cartprodpairmemER, axiom, cartprodpairmemER <=> 417.71/63.34 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xy,B)))). 417.71/63.34 tff('117', plain, 417.71/63.34 cartprodpairmemER = 417.71/63.34 (![X4,X6,X8,X10]: (in(kpair(X8,X10),cartprod(X4,X6)) => in(X10,X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(cartprodpairmemEL, axiom, cartprodpairmemEL <=> 417.71/63.34 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xx,A)))). 417.71/63.34 tff('118', plain, 417.71/63.34 cartprodpairmemEL = 417.71/63.34 (![X4,X6,X8,X10]: (in(kpair(X8,X10),cartprod(X4,X6)) => in(X8,X4))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(cartprodsndin, axiom, cartprodsndin <=> 417.71/63.34 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(ksnd(Xu),B)))). 417.71/63.34 tff('119', plain, 417.71/63.34 cartprodsndin = 417.71/63.34 (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => in(ksnd(X8),X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(kpairsurjEq, axiom, kpairsurjEq <=> 417.71/63.34 (![Xu]: (iskpair(Xu) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 417.71/63.34 tff('120', plain, 417.71/63.34 kpairsurjEq = (![X4]: (iskpair(X4) => (kpair(kfst(X4),ksnd(X4)) = X4))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ksndpairEq, axiom, ksndpairEq <=> (![Xx,Xy]: (ksnd(kpair(Xx,Xy)) = Xy))). 417.71/63.34 tff('121', plain, ksndpairEq = (![X4,X6]: (ksnd(kpair(X4,X6)) = X6)), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ksndsingleton, axiom, ksndsingleton <=> 417.71/63.34 (![Xu]: 417.71/63.34 (iskpair(Xu) => 417.71/63.34 singleton(dsetconstr(setunion(Xu),^[Xx]: (Xu = kpair(kfst(Xu),Xx))))))). 417.71/63.34 tff('122', plain, 417.71/63.34 ksndsingleton = 417.71/63.34 (![X4]: 417.71/63.34 (iskpair(X4) => 417.71/63.34 singleton(dsetconstr(setunion(X4),^[V_1]: (X4 = kpair(kfst(X4),V_1)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setukpairinjR, axiom, setukpairinjR <=> 417.71/63.34 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xy = Xu)))). 417.71/63.34 tff('123', plain, 417.71/63.34 setukpairinjR = 417.71/63.34 (![X4,X6,X8,X10]: ((kpair(X4,X6) = kpair(X8,X10)) => (X6 = X10))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setukpairinjR2, axiom, setukpairinjR2 <=> 417.71/63.34 (![Xx,Xy,Xz,Xu]: 417.71/63.34 ((setadjoin(setadjoin(Xx,emptyset), 417.71/63.34 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 417.71/63.34 setadjoin(setadjoin(Xz,emptyset), 417.71/63.34 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 417.71/63.34 (Xy = Xu)))). 417.71/63.34 tff('124', plain, 417.71/63.34 setukpairinjR2 = 417.71/63.34 (![X4,X6,X8,X10]: 417.71/63.34 ((setadjoin(setadjoin(X4,emptyset), 417.71/63.34 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 417.71/63.34 setadjoin(setadjoin(X8,emptyset), 417.71/63.34 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)),emptyset))) => 417.71/63.34 (X6 = X10))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(upairequniteq, axiom, upairequniteq <=> 417.71/63.34 (![Xx,Xy,Xz]: 417.71/63.34 ((setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xz,emptyset)) => 417.71/63.34 (Xx = Xy)))). 417.71/63.34 tff('125', plain, 417.71/63.34 upairequniteq = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 ((setadjoin(X4,setadjoin(X6,emptyset)) = setadjoin(X8,emptyset)) => 417.71/63.34 (X4 = X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setukpairinjR1, axiom, setukpairinjR1 <=> 417.71/63.34 (![Xx,Xy,Xz,Xu]: 417.71/63.34 ((setadjoin(setadjoin(Xx,emptyset), 417.71/63.34 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 417.71/63.34 setadjoin(setadjoin(Xz,emptyset), 417.71/63.34 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 417.71/63.34 ((Xz = Xu) => (Xy = Xu))))). 417.71/63.34 tff('126', plain, 417.71/63.34 setukpairinjR1 = 417.71/63.34 (![X4,X6,X8,X10]: 417.71/63.34 ((setadjoin(setadjoin(X4,emptyset), 417.71/63.34 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 417.71/63.34 setadjoin(setadjoin(X8,emptyset), 417.71/63.34 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)),emptyset))) => 417.71/63.34 ((X8 = X10) => (X6 = X10)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setukpairinjR12, axiom, setukpairinjR12 <=> 417.71/63.34 (![Xx,Xy]: 417.71/63.34 ((Xx = Xy) => 417.71/63.34 (setadjoin(setadjoin(Xx,emptyset), 417.71/63.34 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 417.71/63.34 setadjoin(setadjoin(Xx,emptyset),emptyset))))). 417.71/63.34 tff('127', plain, 417.71/63.34 setukpairinjR12 = 417.71/63.34 (![X4,X6]: 417.71/63.34 ((X4 = X6) => 417.71/63.34 (setadjoin(setadjoin(X4,emptyset), 417.71/63.34 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 417.71/63.34 setadjoin(setadjoin(X4,emptyset),emptyset)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setukpairinjR11, axiom, setukpairinjR11 <=> 417.71/63.34 (![Xx,Xy]: 417.71/63.34 ((Xx = Xy) => 417.71/63.34 (setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xx,emptyset))))). 417.71/63.34 tff('128', plain, 417.71/63.34 setukpairinjR11 = 417.71/63.34 (![X4,X6]: 417.71/63.34 ((X4 = X6) => 417.71/63.34 (setadjoin(X4,setadjoin(X6,emptyset)) = setadjoin(X4,emptyset)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setukpairinjL, axiom, setukpairinjL <=> 417.71/63.34 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xx = Xz)))). 417.71/63.34 tff('129', plain, 417.71/63.34 setukpairinjL = 417.71/63.34 (![X4,X6,X8,X10]: ((kpair(X4,X6) = kpair(X8,X10)) => (X4 = X8))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setukpairinjL2, axiom, setukpairinjL2 <=> 417.71/63.34 (![Xx,Xy,Xz,Xu]: 417.71/63.34 ((setadjoin(setadjoin(Xx,emptyset), 417.71/63.34 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 417.71/63.34 setadjoin(setadjoin(Xz,emptyset), 417.71/63.34 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 417.71/63.34 (Xx = Xz)))). 417.71/63.34 tff('130', plain, 417.71/63.34 setukpairinjL2 = 417.71/63.34 (![X4,X6,X8,X10]: 417.71/63.34 ((setadjoin(setadjoin(X4,emptyset), 417.71/63.34 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 417.71/63.34 setadjoin(setadjoin(X8,emptyset), 417.71/63.34 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)),emptyset))) => 417.71/63.34 (X4 = X8))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(cartprodfstin, axiom, cartprodfstin <=> 417.71/63.34 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(kfst(Xu),A)))). 417.71/63.34 tff('131', plain, 417.71/63.34 cartprodfstin = 417.71/63.34 (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => in(kfst(X8),X4))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(kfstpairEq, axiom, kfstpairEq <=> (![Xx,Xy]: (kfst(kpair(Xx,Xy)) = Xx))). 417.71/63.34 tff('132', plain, kfstpairEq = (![X4,X6]: (kfst(kpair(X4,X6)) = X4)), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(theprop, axiom, theprop <=> (![X]: (singleton(X) => in(setunion(X),X)))). 417.71/63.34 tff('133', plain, theprop = (![X4]: (singleton(X4) => in(setunion(X4),X4))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(kfstsingleton, axiom, kfstsingleton <=> 417.71/63.34 (![Xu]: 417.71/63.34 (iskpair(Xu) => 417.71/63.34 singleton(dsetconstr(setunion(Xu),^[Xx]: in(setadjoin(Xx,emptyset),Xu)))))). 417.71/63.34 tff('134', plain, 417.71/63.34 kfstsingleton = 417.71/63.34 (![X4]: 417.71/63.34 (iskpair(X4) => 417.71/63.34 singleton(dsetconstr(setunion(X4), 417.71/63.34 ^[V_1]: in(setadjoin(V_1,emptyset),X4))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setukpairinjL1, axiom, setukpairinjL1 <=> 417.71/63.34 (![Xx,Xy,Xz]: 417.71/63.34 (in(setadjoin(Xz,emptyset), 417.71/63.34 setadjoin(setadjoin(Xx,emptyset), 417.71/63.34 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset))) => 417.71/63.34 (Xx = Xz)))). 417.71/63.34 tff('135', plain, 417.71/63.34 setukpairinjL1 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(setadjoin(X8,emptyset), 417.71/63.34 setadjoin(setadjoin(X4,emptyset), 417.71/63.34 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset))) => 417.71/63.34 (X4 = X8))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(singletonsuniq, axiom, singletonsuniq <=> 417.71/63.34 (![Xx,Xy]: ((setadjoin(Xx,emptyset) = setadjoin(Xy,emptyset)) => (Xx = Xy)))). 417.71/63.34 tff('136', plain, 417.71/63.34 singletonsuniq = 417.71/63.34 (![X4,X6]: 417.71/63.34 ((setadjoin(X4,emptyset) = setadjoin(X6,emptyset)) => (X4 = X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ex1I2, axiom, ex1I2 <=> 417.71/63.34 (![A,Xphi:(($i > $o))]: 417.71/63.34 ((![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 417.71/63.34 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => ex1(A,^[Xx]: Xphi(Xx)))))). 417.71/63.34 tff('137', plain, 417.71/63.34 ex1I2 = 417.71/63.34 (![X4,X6:(($i > $o))]: 417.71/63.34 ((![X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: (in(X10,X4) => (X6(X8) => (X6(X10) => (X8 = X10))))))) => 417.71/63.34 ((?[X12]: (X6(X12) & in(X12,X4))) => ex1(X4,^[V_1]: X6(V_1))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ex1I, axiom, ex1I <=> 417.71/63.34 (![A,Xphi:(($i > $o)),Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (Xphi(Xx) => 417.71/63.34 ((![Xy]: (in(Xy,A) => (Xphi(Xy) => (Xy = Xx)))) => 417.71/63.34 ex1(A,^[Xy]: Xphi(Xy))))))). 417.71/63.34 tff('138', plain, 417.71/63.34 ex1I = 417.71/63.34 (![X4,X6:(($i > $o)),X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (X6(X8) => 417.71/63.34 ((![X10]: (in(X10,X4) => (X6(X10) => (X10 = X8)))) => 417.71/63.34 ex1(X4,^[V_1]: X6(V_1)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ex1E1, axiom, ex1E1 <=> 417.71/63.34 (![A,Xphi:(($i > $o))]: 417.71/63.34 (ex1(A,^[Xx]: Xphi(Xx)) => (?[Xx]: (Xphi(Xx) & in(Xx,A)))))). 417.71/63.34 tff('139', plain, 417.71/63.34 ex1E1 = 417.71/63.34 (![X4,X6:(($i > $o))]: 417.71/63.34 (ex1(X4,^[V_1]: X6(V_1)) => (?[X8]: (X6(X8) & in(X8,X4))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(singletonprop, axiom, singletonprop <=> 417.71/63.34 (![A,Xphi:(($i > $o))]: 417.71/63.34 ((![Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 417.71/63.34 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 417.71/63.34 singleton(dsetconstr(A,^[Xx]: Xphi(Xx))))))). 417.71/63.34 tff('140', plain, 417.71/63.34 singletonprop = 417.71/63.34 (![X4,X6:(($i > $o))]: 417.71/63.34 ((![X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: (in(X10,X4) => (X6(X8) => (X6(X10) => (X8 = X10))))))) => 417.71/63.34 ((?[X12]: (X6(X12) & in(X12,X4))) => 417.71/63.34 singleton(dsetconstr(X4,^[V_1]: X6(V_1)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setunionsingleton, axiom, setunionsingleton <=> 417.71/63.34 (![Xx]: (setunion(setadjoin(Xx,emptyset)) = Xx))). 417.71/63.34 tff('141', plain, 417.71/63.34 setunionsingleton = (![X4]: (setunion(setadjoin(X4,emptyset)) = X4)), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setunionsingleton2, axiom, setunionsingleton2 <=> 417.71/63.34 (![A]: subset(A,setunion(setadjoin(A,emptyset))))). 417.71/63.34 tff('142', plain, 417.71/63.34 setunionsingleton2 = (![X4]: subset(X4,setunion(setadjoin(X4,emptyset)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setunionsingleton1, axiom, setunionsingleton1 <=> 417.71/63.34 (![A]: subset(setunion(setadjoin(A,emptyset)),A))). 417.71/63.34 tff('143', plain, 417.71/63.34 setunionsingleton1 = (![X4]: subset(setunion(setadjoin(X4,emptyset)),X4)), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setunionE2, axiom, setunionE2 <=> 417.71/63.34 (![A,Xx]: (in(Xx,setunion(A)) => (?[X]: (in(Xx,X) & in(X,A)))))). 417.71/63.34 tff('144', plain, 417.71/63.34 setunionE2 = 417.71/63.34 (![X4,X6]: (in(X6,setunion(X4)) => (?[X8]: (in(X6,X8) & in(X8,X4))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(cartprodmempair, axiom, cartprodmempair <=> 417.71/63.34 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => iskpair(Xu)))). 417.71/63.34 tff('145', plain, 417.71/63.34 cartprodmempair = (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => iskpair(X8))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(cartprodmempair1, axiom, cartprodmempair1 <=> 417.71/63.34 (![A,B,Xu]: 417.71/63.34 (in(Xu,cartprod(A,B)) => 417.71/63.34 (?[Xx]: ((?[Xy]: ((Xu = kpair(Xx,Xy)) & in(Xy,B))) & in(Xx,A)))))). 417.71/63.34 tff('146', plain, 417.71/63.34 cartprodmempair1 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,cartprod(X4,X6)) => 417.71/63.34 (?[X10]: 417.71/63.34 ((?[X12]: ((X8 = kpair(X10,X12)) & in(X12,X6))) & in(X10,X4))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(cartprodpairin, axiom, cartprodpairin <=> 417.71/63.34 (![A,B,Xx]: 417.71/63.34 (in(Xx,A) => (![Xy]: (in(Xy,B) => in(kpair(Xx,Xy),cartprod(A,B))))))). 417.71/63.34 tff('147', plain, 417.71/63.34 cartprodpairin = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: (in(X10,X6) => in(kpair(X8,X10),cartprod(X4,X6)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ubforcartprodlem3, axiom, ubforcartprodlem3 <=> 417.71/63.34 (![A,B,Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => in(kpair(Xx,Xy),powerset(powerset(binunion(A,B))))))))). 417.71/63.34 tff('148', plain, 417.71/63.34 ubforcartprodlem3 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X6) => 417.71/63.34 in(kpair(X8,X10),powerset(powerset(binunion(X4,X6)))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ubforcartprodlem2, axiom, ubforcartprodlem2 <=> 417.71/63.34 (![A,B,Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => 417.71/63.34 in(setadjoin(setadjoin(Xx,emptyset), 417.71/63.34 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 417.71/63.34 emptyset)), 417.71/63.34 powerset(powerset(binunion(A,B))))))))). 417.71/63.34 tff('149', plain, 417.71/63.34 ubforcartprodlem2 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X6) => 417.71/63.34 in(setadjoin(setadjoin(X8,emptyset), 417.71/63.34 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)), 417.71/63.34 emptyset)), 417.71/63.34 powerset(powerset(binunion(X4,X6)))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(ubforcartprodlem1, axiom, ubforcartprodlem1 <=> 417.71/63.34 (![A,B,Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => 417.71/63.34 subset(setadjoin(setadjoin(Xx,emptyset), 417.71/63.34 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 417.71/63.34 emptyset)), 417.71/63.34 powerset(binunion(A,B)))))))). 417.71/63.34 tff('150', plain, 417.71/63.34 ubforcartprodlem1 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X6) => 417.71/63.34 subset(setadjoin(setadjoin(X8,emptyset), 417.71/63.34 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)), 417.71/63.34 emptyset)), 417.71/63.34 powerset(binunion(X4,X6))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(upairinpowunion, axiom, upairinpowunion <=> 417.71/63.34 (![A,B,Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => 417.71/63.34 in(setadjoin(Xx,setadjoin(Xy,emptyset)),powerset(binunion(A,B)))))))). 417.71/63.34 tff('151', plain, 417.71/63.34 upairinpowunion = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X6) => 417.71/63.34 in(setadjoin(X8,setadjoin(X10,emptyset)), 417.71/63.34 powerset(binunion(X4,X6))))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(upairsubunion, axiom, upairsubunion <=> 417.71/63.34 (![A,B,Xx]: 417.71/63.34 (in(Xx,A) => 417.71/63.34 (![Xy]: 417.71/63.34 (in(Xy,B) => 417.71/63.34 subset(setadjoin(Xx,setadjoin(Xy,emptyset)),binunion(A,B))))))). 417.71/63.34 tff('152', plain, 417.71/63.34 upairsubunion = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,X4) => 417.71/63.34 (![X10]: 417.71/63.34 (in(X10,X6) => 417.71/63.34 subset(setadjoin(X8,setadjoin(X10,emptyset)),binunion(X4,X6)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(upairset2E, axiom, upairset2E <=> 417.71/63.34 (![Xx,Xy,Xz]: 417.71/63.34 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xx) | (Xz = Xy))))). 417.71/63.34 tff('153', plain, 417.71/63.34 upairset2E = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,setadjoin(X4,setadjoin(X6,emptyset))) => 417.71/63.34 ((X8 = X4) | (X8 = X6)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(singletoninpowunion, axiom, singletoninpowunion <=> 417.71/63.34 (![A,B,Xx]: 417.71/63.34 (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(binunion(A,B)))))). 417.71/63.34 tff('154', plain, 417.71/63.34 singletoninpowunion = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,X4) => in(setadjoin(X8,emptyset),powerset(binunion(X4,X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(singletoninpowerset, axiom, singletoninpowerset <=> 417.71/63.34 (![A,Xx]: (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(A))))). 417.71/63.34 tff('155', plain, 417.71/63.34 singletoninpowerset = 417.71/63.34 (![X4,X6]: (in(X6,X4) => in(setadjoin(X6,emptyset),powerset(X4)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(singletonsubset, axiom, singletonsubset <=> 417.71/63.34 (![A,Xx]: (in(Xx,A) => subset(setadjoin(Xx,emptyset),A)))). 417.71/63.34 tff('156', plain, 417.71/63.34 singletonsubset = 417.71/63.34 (![X4,X6]: (in(X6,X4) => subset(setadjoin(X6,emptyset),X4))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(kpairp, axiom, kpairp <=> (![Xx,Xy]: iskpair(kpair(Xx,Xy)))). 417.71/63.34 tff('157', plain, kpairp = (![X4,X6]: iskpair(kpair(X4,X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(kpairiskpair, axiom, kpairiskpair <=> 417.71/63.34 (![Xx,Xy]: 417.71/63.34 iskpair(setadjoin(setadjoin(Xx,emptyset), 417.71/63.34 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 417.71/63.34 emptyset))))). 417.71/63.34 tff('158', plain, 417.71/63.34 kpairiskpair = 417.71/63.34 (![X4,X6]: 417.71/63.34 iskpair(setadjoin(setadjoin(X4,emptyset), 417.71/63.34 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)), 417.71/63.34 emptyset)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setukpairIR, axiom, setukpairIR <=> 417.71/63.34 (![Xx,Xy]: 417.71/63.34 in(Xy, 417.71/63.34 setunion(setadjoin(setadjoin(Xx,emptyset), 417.71/63.34 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 417.71/63.34 emptyset)))))). 417.71/63.34 tff('159', plain, 417.71/63.34 setukpairIR = 417.71/63.34 (![X4,X6]: 417.71/63.34 in(X6, 417.71/63.34 setunion(setadjoin(setadjoin(X4,emptyset), 417.71/63.34 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)), 417.71/63.34 emptyset))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setukpairIL, axiom, setukpairIL <=> 417.71/63.34 (![Xx,Xy]: 417.71/63.34 in(Xx, 417.71/63.34 setunion(setadjoin(setadjoin(Xx,emptyset), 417.71/63.34 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 417.71/63.34 emptyset)))))). 417.71/63.34 tff('160', plain, 417.71/63.34 setukpairIL = 417.71/63.34 (![X4,X6]: 417.71/63.34 in(X4, 417.71/63.34 setunion(setadjoin(setadjoin(X4,emptyset), 417.71/63.34 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)), 417.71/63.34 emptyset))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(secondinupair, axiom, secondinupair <=> 417.71/63.34 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 417.71/63.34 tff('161', plain, 417.71/63.34 secondinupair = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(symdiffIneg2, axiom, symdiffIneg2 <=> 417.71/63.34 (![A,B,Xx]: ((~in(Xx,A)) => ((~in(Xx,B)) => (~in(Xx,symdiff(A,B))))))). 417.71/63.34 tff('162', plain, 417.71/63.34 symdiffIneg2 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 ((~in(X8,X4)) => ((~in(X8,X6)) => (~in(X8,symdiff(X4,X6)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(symdiffIneg1, axiom, symdiffIneg1 <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => (~in(Xx,symdiff(A,B))))))). 417.71/63.34 tff('163', plain, 417.71/63.34 symdiffIneg1 = 417.71/63.34 (![X4,X6,X8]: (in(X8,X4) => (in(X8,X6) => (~in(X8,symdiff(X4,X6)))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(symdiffI2, axiom, symdiffI2 <=> 417.71/63.34 (![A,B,Xx]: ((~in(Xx,A)) => (in(Xx,B) => in(Xx,symdiff(A,B)))))). 417.71/63.34 tff('164', plain, 417.71/63.34 symdiffI2 = 417.71/63.34 (![X4,X6,X8]: ((~in(X8,X4)) => (in(X8,X6) => in(X8,symdiff(X4,X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(symdiffI1, axiom, symdiffI1 <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,symdiff(A,B)))))). 417.71/63.34 tff('165', plain, 417.71/63.34 symdiffI1 = 417.71/63.34 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => in(X8,symdiff(X4,X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(symdiffE, axiom, symdiffE <=> 417.71/63.34 (![A,B,Xx]: 417.71/63.34 (in(Xx,symdiff(A,B)) => 417.71/63.34 (![Xphi:$o]: 417.71/63.34 ((in(Xx,A) => ((~in(Xx,B)) => Xphi)) => 417.71/63.34 (((~in(Xx,A)) => (in(Xx,B) => Xphi)) => Xphi)))))). 417.71/63.34 tff('166', plain, 417.71/63.34 symdiffE = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (in(X8,symdiff(X4,X6)) => 417.71/63.34 (![X10:$o]: 417.71/63.34 ((in(X8,X4) => ((~in(X8,X6)) => X10)) => 417.71/63.34 (((~in(X8,X4)) => (in(X8,X6) => X10)) => X10))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setminusSubset1, axiom, setminusSubset1 <=> 417.71/63.34 (![A,B]: ((setminus(A,B) = emptyset) => subset(A,B)))). 417.71/63.34 tff('167', plain, 417.71/63.34 setminusSubset1 = 417.71/63.34 (![X4,X6]: ((setminus(X4,X6) = emptyset) => subset(X4,X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setminusLsub, axiom, setminusLsub <=> (![A,B]: subset(setminus(A,B),A))). 417.71/63.34 tff('168', plain, setminusLsub = (![X4,X6]: subset(setminus(X4,X6),X4)), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setminusIRneg, axiom, setminusIRneg <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,B) => (~in(Xx,setminus(A,B)))))). 417.71/63.34 tff('169', plain, 417.71/63.34 setminusIRneg = (![X4,X6,X8]: (in(X8,X6) => (~in(X8,setminus(X4,X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setminusILneg, axiom, setminusILneg <=> 417.71/63.34 (![A,B,Xx]: ((~in(Xx,A)) => (~in(Xx,setminus(A,B)))))). 417.71/63.34 tff('170', plain, 417.71/63.34 setminusILneg = 417.71/63.34 (![X4,X6,X8]: ((~in(X8,X4)) => (~in(X8,setminus(X4,X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setminusELneg, axiom, setminusELneg <=> 417.71/63.34 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => ((~in(Xx,B)) => (~in(Xx,A)))))). 417.71/63.34 tff('171', plain, 417.71/63.34 setminusELneg = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 ((~in(X8,setminus(X4,X6))) => ((~in(X8,X6)) => (~in(X8,X4))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setminusERneg, axiom, setminusERneg <=> 417.71/63.34 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => (in(Xx,A) => in(Xx,B))))). 417.71/63.34 tff('172', plain, 417.71/63.34 setminusERneg = 417.71/63.34 (![X4,X6,X8]: ((~in(X8,setminus(X4,X6))) => (in(X8,X4) => in(X8,X6)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setminusSubset2, axiom, setminusSubset2 <=> 417.71/63.34 (![A,B]: (subset(A,B) => (setminus(A,B) = emptyset)))). 417.71/63.34 tff('173', plain, 417.71/63.34 setminusSubset2 = 417.71/63.34 (![X4,X6]: (subset(X4,X6) => (setminus(X4,X6) = emptyset))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setminusER, axiom, setminusER <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B))))). 417.71/63.34 tff('174', plain, 417.71/63.34 setminusER = (![X4,X6,X8]: (in(X8,setminus(X4,X6)) => (~in(X8,X6)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setminusEL, axiom, setminusEL <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,setminus(A,B)) => in(Xx,A)))). 417.71/63.34 tff('175', plain, 417.71/63.34 setminusEL = (![X4,X6,X8]: (in(X8,setminus(X4,X6)) => in(X8,X4))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(setminusI, axiom, setminusI <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,setminus(A,B)))))). 417.71/63.34 tff('176', plain, 417.71/63.34 setminusI = 417.71/63.34 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => in(X8,setminus(X4,X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(bs114d, axiom, bs114d <=> 417.71/63.34 (![A,B,C]: 417.71/63.34 (binintersect(A,binunion(B,C)) = 417.71/63.34 binunion(binintersect(A,B),binintersect(A,C))))). 417.71/63.34 tff('177', plain, 417.71/63.34 bs114d = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (binintersect(X4,binunion(X6,X8)) = 417.71/63.34 binunion(binintersect(X4,X6),binintersect(X4,X8)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectSubset1, axiom, binintersectSubset1 <=> 417.71/63.34 (![A,B]: ((binintersect(A,B) = A) => subset(A,B)))). 417.71/63.34 tff('178', plain, 417.71/63.34 binintersectSubset1 = 417.71/63.34 (![X4,X6]: ((binintersect(X4,X6) = X4) => subset(X4,X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectSubset4, axiom, binintersectSubset4 <=> 417.71/63.34 (![A,B]: (subset(B,A) => (binintersect(A,B) = B)))). 417.71/63.34 tff('179', plain, 417.71/63.34 binintersectSubset4 = 417.71/63.34 (![X4,X6]: (subset(X6,X4) => (binintersect(X4,X6) = X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectRsub, axiom, binintersectRsub <=> 417.71/63.34 (![A,B]: subset(binintersect(A,B),B))). 417.71/63.34 tff('180', plain, 417.71/63.34 binintersectRsub = (![X4,X6]: subset(binintersect(X4,X6),X6)), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(disjointsetsI1, axiom, disjointsetsI1 <=> 417.71/63.34 (![A,B]: 417.71/63.34 ((~(?[Xx]: (in(Xx,B) & in(Xx,A)))) => (binintersect(A,B) = emptyset)))). 417.71/63.34 tff('181', plain, 417.71/63.34 disjointsetsI1 = 417.71/63.34 (![X4,X6]: 417.71/63.34 ((~(?[X8]: (in(X8,X6) & in(X8,X4)))) => 417.71/63.34 (binintersect(X4,X6) = emptyset))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectER, axiom, binintersectER <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,B)))). 417.71/63.34 tff('182', plain, 417.71/63.34 binintersectER = (![X4,X6,X8]: (in(X8,binintersect(X4,X6)) => in(X8,X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectSubset3, axiom, binintersectSubset3 <=> 417.71/63.34 (![A,B]: ((binintersect(A,B) = B) => subset(B,A)))). 417.71/63.34 tff('183', plain, 417.71/63.34 binintersectSubset3 = 417.71/63.34 (![X4,X6]: ((binintersect(X4,X6) = X6) => subset(X6,X4))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectSubset2, axiom, binintersectSubset2 <=> 417.71/63.34 (![A,B]: (subset(A,B) => (binintersect(A,B) = A)))). 417.71/63.34 tff('184', plain, 417.71/63.34 binintersectSubset2 = 417.71/63.34 (![X4,X6]: (subset(X4,X6) => (binintersect(X4,X6) = X4))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectLsub, axiom, binintersectLsub <=> 417.71/63.34 (![A,B]: subset(binintersect(A,B),A))). 417.71/63.34 tff('185', plain, 417.71/63.34 binintersectLsub = (![X4,X6]: subset(binintersect(X4,X6),X4)), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectEL, axiom, binintersectEL <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,A)))). 417.71/63.34 tff('186', plain, 417.71/63.34 binintersectEL = (![X4,X6,X8]: (in(X8,binintersect(X4,X6)) => in(X8,X4))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectSubset5, axiom, binintersectSubset5 <=> 417.71/63.34 (![A,B,C]: (subset(C,A) => (subset(C,B) => subset(C,binintersect(A,B)))))). 417.71/63.34 tff('187', plain, 417.71/63.34 binintersectSubset5 = 417.71/63.34 (![X4,X6,X8]: 417.71/63.34 (subset(X8,X4) => (subset(X8,X6) => subset(X8,binintersect(X4,X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binintersectI, axiom, binintersectI <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => in(Xx,binintersect(A,B)))))). 417.71/63.34 tff('188', plain, 417.71/63.34 binintersectI = 417.71/63.34 (![X4,X6,X8]: (in(X8,X4) => (in(X8,X6) => in(X8,binintersect(X4,X6))))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binunionRsub, axiom, binunionRsub <=> (![A,B]: subset(B,binunion(A,B)))). 417.71/63.34 tff('189', plain, binunionRsub = (![X4,X6]: subset(X6,binunion(X4,X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binunionLsub, axiom, binunionLsub <=> (![A,B]: subset(A,binunion(A,B)))). 417.71/63.34 tff('190', plain, binunionLsub = (![X4,X6]: subset(X4,binunion(X4,X6))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binunionE, axiom, binunionE <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,binunion(A,B)) => (in(Xx,A) | in(Xx,B))))). 417.71/63.34 tff('191', plain, 417.71/63.34 binunionE = 417.71/63.34 (![X4,X6,X8]: (in(X8,binunion(X4,X6)) => (in(X8,X4) | in(X8,X6)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binunionEcases, axiom, binunionEcases <=> 417.71/63.34 (![A,B,Xx,Xphi:$o]: 417.71/63.34 (in(Xx,binunion(A,B)) => 417.71/63.34 ((in(Xx,A) => Xphi) => ((in(Xx,B) => Xphi) => Xphi))))). 417.71/63.34 tff('192', plain, 417.71/63.34 binunionEcases = 417.71/63.34 (![X4,X6,X8,X10:$o]: 417.71/63.34 (in(X8,binunion(X4,X6)) => 417.71/63.34 ((in(X8,X4) => X10) => ((in(X8,X6) => X10) => X10)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binunionIR, axiom, binunionIR <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,B) => in(Xx,binunion(A,B))))). 417.71/63.34 tff('193', plain, 417.71/63.34 binunionIR = (![X4,X6,X8]: (in(X8,X6) => in(X8,binunion(X4,X6)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(upairset2IR, axiom, upairset2IR <=> 417.71/63.34 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 417.71/63.34 tff('194', plain, 417.71/63.34 upairset2IR = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(binunionIL, axiom, binunionIL <=> 417.71/63.34 (![A,B,Xx]: (in(Xx,A) => in(Xx,binunion(A,B))))). 417.71/63.34 tff('195', plain, 417.71/63.34 binunionIL = (![X4,X6,X8]: (in(X8,X4) => in(X8,binunion(X4,X6)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(sepSubset, axiom, sepSubset <=> 417.71/63.34 (![A,Xphi:(($i > $o))]: subset(dsetconstr(A,^[Xx]: Xphi(Xx)),A))). 417.71/63.34 tff('196', plain, 417.71/63.34 sepSubset = 417.71/63.34 (![X4,X6:(($i > $o))]: subset(dsetconstr(X4,^[V_1]: X6(V_1)),X4)), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(sepInPowerset, axiom, sepInPowerset <=> 417.71/63.34 (![A,Xphi:(($i > $o))]: in(dsetconstr(A,^[Xx]: Xphi(Xx)),powerset(A)))). 417.71/63.34 tff('197', plain, 417.71/63.34 sepInPowerset = 417.71/63.34 (![X4,X6:(($i > $o))]: in(dsetconstr(X4,^[V_1]: X6(V_1)),powerset(X4))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(powersetsubset, axiom, powersetsubset <=> 417.71/63.34 (![A,B]: (subset(A,B) => subset(powerset(A),powerset(B))))). 417.71/63.34 tff('198', plain, 417.71/63.34 powersetsubset = 417.71/63.34 (![X4,X6]: (subset(X4,X6) => subset(powerset(X4),powerset(X6)))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(inPowerset, axiom, inPowerset <=> (![A]: in(A,powerset(A)))). 417.71/63.34 tff('199', plain, inPowerset = (![X4]: in(X4,powerset(X4))), 417.71/63.34 define([status(thm)])). 417.71/63.34 tff(powersetE1, axiom, powersetE1 <=> 417.71/63.34 (![A,B]: (in(B,powerset(A)) => subset(B,A)))). 417.71/63.35 tff('200', plain, 417.71/63.35 powersetE1 = (![X4,X6]: (in(X6,powerset(X4)) => subset(X6,X4))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(powersetI1, axiom, powersetI1 <=> 417.71/63.35 (![A,B]: (subset(B,A) => in(B,powerset(A))))). 417.71/63.35 tff('201', plain, 417.71/63.35 powersetI1 = (![X4,X6]: (subset(X6,X4) => in(X6,powerset(X4)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(subsetemptysetimpeq, axiom, subsetemptysetimpeq <=> 417.71/63.35 (![A]: (subset(A,emptyset) => (A = emptyset)))). 417.71/63.35 tff('202', plain, 417.71/63.35 subsetemptysetimpeq = (![X4]: (subset(X4,emptyset) => (X4 = emptyset))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setextsub, axiom, setextsub <=> 417.71/63.35 (![A,B]: (subset(A,B) => (subset(B,A) => (A = B))))). 417.71/63.35 tff('203', plain, 417.71/63.35 setextsub = (![X4,X6]: (subset(X4,X6) => (subset(X6,X4) => (X4 = X6)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(subset2powerset, axiom, subset2powerset <=> 417.71/63.35 (![A,B]: (subset(A,B) => in(A,powerset(B))))). 417.71/63.35 tff('204', plain, 417.71/63.35 subset2powerset = (![X4,X6]: (subset(X4,X6) => in(X4,powerset(X6)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setadjoinSub2, axiom, setadjoinSub2 <=> 417.71/63.35 (![A,Xx,B]: (subset(A,B) => subset(A,setadjoin(Xx,B))))). 417.71/63.35 tff('205', plain, 417.71/63.35 setadjoinSub2 = 417.71/63.35 (![X4,X6,X8]: (subset(X4,X8) => subset(X4,setadjoin(X6,X8)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setadjoinSub, axiom, setadjoinSub <=> 417.71/63.35 (![Xx,A]: subset(A,setadjoin(Xx,A)))). 417.71/63.35 tff('206', plain, setadjoinSub = (![X4,X6]: subset(X6,setadjoin(X4,X6))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(subsetTrans, axiom, subsetTrans <=> 417.71/63.35 (![A,B,C]: (subset(A,B) => (subset(B,C) => subset(A,C))))). 417.71/63.35 tff('207', plain, 417.71/63.35 subsetTrans = 417.71/63.35 (![X4,X6,X8]: (subset(X4,X6) => (subset(X6,X8) => subset(X4,X8)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(subsetRefl, axiom, subsetRefl <=> (![A]: subset(A,A))). 417.71/63.35 tff('208', plain, subsetRefl = (![X4]: subset(X4,X4)), define([status(thm)])). 417.71/63.35 tff(notequalI2, axiom, notequalI2 <=> 417.71/63.35 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (A != B))))). 417.71/63.35 tff('209', plain, 417.71/63.35 notequalI2 = (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => (X4 != X6)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(notequalI1, axiom, notequalI1 <=> (![A,B]: ((~subset(A,B)) => (A != B)))). 417.71/63.35 tff('210', plain, notequalI1 = (![X4,X6]: ((~subset(X4,X6)) => (X4 != X6))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(notsubsetI, axiom, notsubsetI <=> 417.71/63.35 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (~subset(A,B)))))). 417.71/63.35 tff('211', plain, 417.71/63.35 notsubsetI = 417.71/63.35 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => (~subset(X4,X6))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(subsetE2, axiom, subsetE2 <=> 417.71/63.35 (![A,B,Xx]: (subset(A,B) => ((~in(Xx,B)) => (~in(Xx,A)))))). 417.71/63.35 tff('212', plain, 417.71/63.35 subsetE2 = 417.71/63.35 (![X4,X6,X8]: (subset(X4,X6) => ((~in(X8,X6)) => (~in(X8,X4))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(subsetE, axiom, subsetE <=> 417.71/63.35 (![A,B,Xx]: (subset(A,B) => (in(Xx,A) => in(Xx,B))))). 417.71/63.35 tff('213', plain, 417.71/63.35 subsetE = (![X4,X6,X8]: (subset(X4,X6) => (in(X8,X4) => in(X8,X6)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(emptysetsubset, axiom, emptysetsubset <=> (![A]: subset(emptyset,A))). 417.71/63.35 tff('214', plain, emptysetsubset = (![X4]: subset(emptyset,X4)), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(subsetI2, axiom, subsetI2 <=> 417.71/63.35 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 417.71/63.35 tff('215', plain, 417.71/63.35 subsetI2 = 417.71/63.35 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(eqimpsubset1, axiom, eqimpsubset1 <=> (![A,B]: ((A = B) => subset(A,B)))). 417.71/63.35 tff('216', plain, eqimpsubset1 = (![X4,X6]: ((X4 = X6) => subset(X4,X6))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(eqimpsubset2, axiom, eqimpsubset2 <=> (![A,B]: ((A = B) => subset(B,A)))). 417.71/63.35 tff('217', plain, eqimpsubset2 = (![X4,X6]: ((X4 = X6) => subset(X6,X4))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(subsetI1, axiom, subsetI1 <=> 417.71/63.35 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 417.71/63.35 tff('218', plain, 417.71/63.35 subsetI1 = 417.71/63.35 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(dsetconstr__Cong, axiom, dsetconstr__Cong <=> 417.71/63.35 (![A,B]: 417.71/63.35 ((A = B) => 417.71/63.35 (![Xphi:(($i > $o)),Xpsi:(($i > $o))]: 417.71/63.35 ((![Xx]: 417.71/63.35 (in(Xx,A) => 417.71/63.35 (![Xy]: (in(Xy,B) => ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy))))))) => 417.71/63.35 (dsetconstr(A,^[Xx]: Xphi(Xx)) = dsetconstr(B,^[Xx]: Xpsi(Xx)))))))). 417.71/63.35 tff('219', plain, 417.71/63.35 dsetconstr__Cong = 417.71/63.35 (![X4,X6]: 417.71/63.35 ((X4 = X6) => 417.71/63.35 (![X8:(($i > $o)),X10:(($i > $o))]: 417.71/63.35 ((![X12]: 417.71/63.35 (in(X12,X4) => 417.71/63.35 (![X14]: 417.71/63.35 (in(X14,X6) => ((X12 = X14) => (X8(X12) <=> X10(X14))))))) => 417.71/63.35 (dsetconstr(X4,^[V_1]: X8(V_1)) = dsetconstr(X6,^[V_2]: X10(V_2))))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(descr__Cong, axiom, descr__Cong <=> 417.71/63.35 (![Xphi:(($i > $o)),Xpsi:(($i > $o))]: 417.71/63.35 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 417.71/63.35 (exu(^[Xx]: Xphi(Xx)) => 417.71/63.35 (exu(^[Xx]: Xpsi(Xx)) => 417.71/63.35 (descr(^[Xx]: Xphi(Xx)) = descr(^[Xx]: Xpsi(Xx)))))))). 417.71/63.35 tff('220', plain, 417.71/63.35 descr__Cong = 417.71/63.35 (![X4:(($i > $o)),X6:(($i > $o))]: 417.71/63.35 ((![X8,X10]: ((X8 = X10) => (X4(X8) <=> X6(X10)))) => 417.71/63.35 (exu(^[V_1]: X4(V_1)) => 417.71/63.35 (exu(^[V_2]: X6(V_2)) => 417.71/63.35 (descr(^[V_3]: X4(V_3)) = descr(^[V_4]: X6(V_4))))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(exuEu, axiom, exuEu <=> 417.71/63.35 (![Xphi:(($i > $o))]: 417.71/63.35 (exu(^[Xx]: Xphi(Xx)) => 417.71/63.35 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 417.71/63.35 tff('221', plain, 417.71/63.35 exuEu = 417.71/63.35 (![X4:(($i > $o))]: 417.71/63.35 (exu(^[V_1]: X4(V_1)) => (![X6,X8]: (X4(X6) => (X4(X8) => (X6 = X8)))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(omega__Cong, axiom, omega__Cong <=> (omega = omega)). 417.71/63.35 tff('222', plain, omega__Cong = (omega = omega), define([status(thm)])). 417.71/63.35 tff(setunion__Cong, axiom, setunion__Cong <=> 417.71/63.35 (![A,B]: ((A = B) => (setunion(A) = setunion(B))))). 417.71/63.35 tff('223', plain, 417.71/63.35 setunion__Cong = (![X4,X6]: ((X4 = X6) => (setunion(X4) = setunion(X6)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(powerset__Cong, axiom, powerset__Cong <=> 417.71/63.35 (![A,B]: ((A = B) => (powerset(A) = powerset(B))))). 417.71/63.35 tff('224', plain, 417.71/63.35 powerset__Cong = (![X4,X6]: ((X4 = X6) => (powerset(X4) = powerset(X6)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setadjoin__Cong, axiom, setadjoin__Cong <=> 417.71/63.35 (![Xx,Xy]: 417.71/63.35 ((Xx = Xy) => 417.71/63.35 (![Xz,Xu]: ((Xz = Xu) => (setadjoin(Xx,Xz) = setadjoin(Xy,Xu))))))). 417.71/63.35 tff('225', plain, 417.71/63.35 setadjoin__Cong = 417.71/63.35 (![X4,X6]: 417.71/63.35 ((X4 = X6) => 417.71/63.35 (![X8,X10]: ((X8 = X10) => (setadjoin(X4,X8) = setadjoin(X6,X10)))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(emptyset__Cong, axiom, emptyset__Cong <=> (emptyset = emptyset)). 417.71/63.35 tff('226', plain, emptyset__Cong = (emptyset = emptyset), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(exu__Cong, axiom, exu__Cong <=> 417.71/63.35 (![Xphi:(($i > $o)),Xpsi:(($i > $o))]: 417.71/63.35 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 417.71/63.35 (exu(^[Xx]: Xphi(Xx)) <=> exu(^[Xx]: Xpsi(Xx)))))). 417.71/63.35 tff('227', plain, 417.71/63.35 exu__Cong = 417.71/63.35 (![X4:(($i > $o)),X6:(($i > $o))]: 417.71/63.35 ((![X8,X10]: ((X8 = X10) => (X4(X8) <=> X6(X10)))) => 417.71/63.35 (exu(^[V_1]: X4(V_1)) <=> exu(^[V_2]: X6(V_2))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(exuE3u, axiom, exuE3u <=> 417.71/63.35 (![Xphi:(($i > $o))]: 417.71/63.35 (exu(^[Xx]: Xphi(Xx)) => 417.71/63.35 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 417.71/63.35 tff('228', plain, 417.71/63.35 exuE3u = 417.71/63.35 (![X4:(($i > $o))]: 417.71/63.35 (exu(^[V_1]: X4(V_1)) => (![X6,X8]: (X4(X6) => (X4(X8) => (X6 = X8)))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(in__Cong, axiom, in__Cong <=> 417.71/63.35 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) <=> in(Xy,B))))))). 417.71/63.35 tff('229', plain, 417.71/63.35 in__Cong = 417.71/63.35 (![X4,X6]: 417.71/63.35 ((X4 = X6) => (![X8,X10]: ((X8 = X10) => (in(X8,X4) <=> in(X10,X6)))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(inCongP, axiom, inCongP <=> 417.71/63.35 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) => in(Xy,B))))))). 417.71/63.35 tff('230', plain, 417.71/63.35 inCongP = 417.71/63.35 (![X4,X6]: 417.71/63.35 ((X4 = X6) => (![X8,X10]: ((X8 = X10) => (in(X8,X4) => in(X10,X6)))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(exuI2, axiom, exuI2 <=> 417.71/63.35 (![Xphi:(($i > $o))]: 417.71/63.35 ((?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx)))) => exu(^[Xx]: Xphi(Xx))))). 417.71/63.35 tff('231', plain, 417.71/63.35 exuI2 = 417.71/63.35 (![X4:(($i > $o))]: 417.71/63.35 ((?[X6]: (![X8]: (X4(X8) <=> (X8 = X6)))) => exu(^[V_1]: X4(V_1)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(exuI3, axiom, exuI3 <=> 417.71/63.35 (![Xphi:(($i > $o))]: 417.71/63.35 ((?[Xx]: Xphi(Xx)) => 417.71/63.35 ((![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))) => 417.71/63.35 exu(^[Xx]: Xphi(Xx)))))). 417.71/63.35 tff('232', plain, 417.71/63.35 exuI3 = 417.71/63.35 (![X4:(($i > $o))]: 417.71/63.35 ((?[X6]: X4(X6)) => 417.71/63.35 ((![X8,X10]: (X4(X8) => (X4(X10) => (X8 = X10)))) => 417.71/63.35 exu(^[V_1]: X4(V_1))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(exuI1, axiom, exuI1 <=> 417.71/63.35 (![Xphi:(($i > $o))]: 417.71/63.35 ((?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx))) => 417.71/63.35 exu(^[Xx]: Xphi(Xx))))). 417.71/63.35 tff('233', plain, 417.71/63.35 exuI1 = 417.71/63.35 (![X4:(($i > $o))]: 417.71/63.35 ((?[X6]: ((![X8]: (X4(X8) => (X6 = X8))) & X4(X6))) => 417.71/63.35 exu(^[V_1]: X4(V_1)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(notdallE, axiom, notdallE <=> 417.71/63.35 (![A,Xphi:(($i > $o))]: 417.71/63.35 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 417.71/63.35 tff('234', plain, 417.71/63.35 notdallE = 417.71/63.35 (![X4,X6:(($i > $o))]: 417.71/63.35 ((~(![X8]: (in(X8,X4) => X6(X8)))) => 417.71/63.35 (?[X10]: ((~X6(X10)) & in(X10,X4))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(notdexE, axiom, notdexE <=> 417.71/63.35 (![A,Xphi:(($i > $o))]: 417.71/63.35 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 417.71/63.35 tff('235', plain, 417.71/63.35 notdexE = 417.71/63.35 (![X4,X6:(($i > $o))]: 417.71/63.35 ((~(?[X8]: (X6(X8) & in(X8,X4)))) => 417.71/63.35 (![X10]: (in(X10,X4) => (~X6(X10)))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(prop2set2propI, axiom, prop2set2propI <=> 417.71/63.35 (![Xphi:$o]: (Xphi => set2prop(prop2set(Xphi))))). 417.71/63.35 tff('236', plain, 417.71/63.35 prop2set2propI = (![X4:$o]: (X4 => set2prop(prop2set(X4)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(prop2setI, axiom, prop2setI <=> 417.71/63.35 (![Xphi:$o]: (Xphi => in(emptyset,prop2set(Xphi))))). 417.71/63.35 tff('237', plain, prop2setI = (![X4:$o]: (X4 => in(emptyset,prop2set(X4)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(quantDeMorgan4, axiom, quantDeMorgan4 <=> 417.71/63.35 (![A,Xphi:(($i > $o))]: 417.71/63.35 ((?[Xx]: ((~Xphi(Xx)) & in(Xx,A))) => (~(![Xx]: (in(Xx,A) => Xphi(Xx))))))). 417.71/63.35 tff('238', plain, 417.71/63.35 quantDeMorgan4 = 417.71/63.35 (![X4,X6:(($i > $o))]: 417.71/63.35 ((?[X8]: ((~X6(X8)) & in(X8,X4))) => 417.71/63.35 (~(![X10]: (in(X10,X4) => X6(X10)))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(quantDeMorgan3, axiom, quantDeMorgan3 <=> 417.71/63.35 (![A,Xphi:(($i > $o))]: 417.71/63.35 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 417.71/63.35 tff('239', plain, 417.71/63.35 quantDeMorgan3 = 417.71/63.35 (![X4,X6:(($i > $o))]: 417.71/63.35 ((~(?[X8]: (X6(X8) & in(X8,X4)))) => 417.71/63.35 (![X10]: (in(X10,X4) => (~X6(X10)))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(quantDeMorgan2, axiom, quantDeMorgan2 <=> 417.71/63.35 (![A,Xphi:(($i > $o))]: 417.71/63.35 ((![Xx]: (in(Xx,A) => (~Xphi(Xx)))) => (~(?[Xx]: (Xphi(Xx) & in(Xx,A))))))). 417.71/63.35 tff('240', plain, 417.71/63.35 quantDeMorgan2 = 417.71/63.35 (![X4,X6:(($i > $o))]: 417.71/63.35 ((![X8]: (in(X8,X4) => (~X6(X8)))) => 417.71/63.35 (~(?[X10]: (X6(X10) & in(X10,X4)))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(quantDeMorgan1, axiom, quantDeMorgan1 <=> 417.71/63.35 (![A,Xphi:(($i > $o))]: 417.71/63.35 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 417.71/63.35 tff('241', plain, 417.71/63.35 quantDeMorgan1 = 417.71/63.35 (![X4,X6:(($i > $o))]: 417.71/63.35 ((~(![X8]: (in(X8,X4) => X6(X8)))) => 417.71/63.35 (?[X10]: ((~X6(X10)) & in(X10,X4))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(vacuousDall, axiom, vacuousDall <=> 417.71/63.35 (![Xphi:(($i > $o)),Xx]: (in(Xx,emptyset) => Xphi(Xx)))). 417.71/63.35 tff('242', plain, 417.71/63.35 vacuousDall = (![X4:(($i > $o)),X6]: (in(X6,emptyset) => X4(X6))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(emptyE1, axiom, emptyE1 <=> 417.71/63.35 (![A,Xphi:(($i > $o))]: 417.71/63.35 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 417.71/63.35 ((dsetconstr(A,^[Xx]: Xphi(Xx)) = emptyset) => $false)))). 417.71/63.35 tff('243', plain, 417.71/63.35 emptyE1 = 417.71/63.35 (![X4,X6:(($i > $o))]: 417.71/63.35 ((?[X8]: (X6(X8) & in(X8,X4))) => 417.71/63.35 ((dsetconstr(X4,^[V_1]: X6(V_1)) = emptyset) => $false))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(upairsetIR, axiom, upairsetIR <=> 417.71/63.35 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 417.71/63.35 tff('244', plain, 417.71/63.35 upairsetIR = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(upairsetIL, axiom, upairsetIL <=> 417.71/63.35 (![Xx,Xy]: in(Xx,setadjoin(Xx,setadjoin(Xy,emptyset))))). 417.71/63.35 tff('245', plain, 417.71/63.35 upairsetIL = (![X4,X6]: in(X4,setadjoin(X4,setadjoin(X6,emptyset)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(upairsetE, axiom, upairsetE <=> 417.71/63.35 (![Xx,Xy,Xz]: 417.71/63.35 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xx) | (Xz = Xy))))). 417.71/63.35 tff('246', plain, 417.71/63.35 upairsetE = 417.71/63.35 (![X4,X6,X8]: 417.71/63.35 (in(X8,setadjoin(X4,setadjoin(X6,emptyset))) => 417.71/63.35 ((X8 = X4) | (X8 = X6)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(singletonsswitch, axiom, singletonsswitch <=> 417.71/63.35 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => in(Xy,setadjoin(Xx,emptyset))))). 417.71/63.35 tff('247', plain, 417.71/63.35 singletonsswitch = 417.71/63.35 (![X4,X6]: 417.71/63.35 (in(X4,setadjoin(X6,emptyset)) => in(X6,setadjoin(X4,emptyset)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(eqinunit, axiom, eqinunit <=> 417.71/63.35 (![Xx,Xy]: ((Xx = Xy) => in(Xx,setadjoin(Xy,emptyset))))). 417.71/63.35 tff('248', plain, 417.71/63.35 eqinunit = (![X4,X6]: ((X4 = X6) => in(X4,setadjoin(X6,emptyset)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(notinsingleton, axiom, notinsingleton <=> 417.71/63.35 (![Xx,Xy]: ((Xx != Xy) => (~in(Xy,setadjoin(Xx,emptyset)))))). 417.71/63.35 tff('249', plain, 417.71/63.35 notinsingleton = 417.71/63.35 (![X4,X6]: ((X4 != X6) => (~in(X6,setadjoin(X4,emptyset))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(uniqinunit, axiom, uniqinunit <=> 417.71/63.35 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => (Xx = Xy)))). 417.71/63.35 tff('250', plain, 417.71/63.35 uniqinunit = (![X4,X6]: (in(X4,setadjoin(X6,emptyset)) => (X4 = X6))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(nonemptyImpWitness, axiom, nonemptyImpWitness <=> 417.71/63.35 (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))). 417.71/63.35 tff('251', plain, 417.71/63.35 nonemptyImpWitness = (![X4]: (nonempty(X4) => (?[X6]: in(X6,X4)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(exuE2, axiom, exuE2 <=> 417.71/63.35 (![Xphi:(($i > $o))]: 417.71/63.35 (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx))))))). 417.71/63.35 tff('252', plain, 417.71/63.35 exuE2 = 417.71/63.35 (![X4:(($i > $o))]: 417.71/63.35 (exu(^[V_1]: X4(V_1)) => (?[X6]: (![X8]: (X4(X8) <=> (X8 = X6)))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(subPowSU, axiom, subPowSU <=> 417.71/63.35 (![A,Xx]: (in(Xx,A) => in(Xx,powerset(setunion(A)))))). 417.71/63.35 tff('253', plain, 417.71/63.35 subPowSU = (![X4,X6]: (in(X6,X4) => in(X6,powerset(setunion(X4))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setunionE, axiom, setunionE <=> 417.71/63.35 (![A,Xx]: 417.71/63.35 (in(Xx,setunion(A)) => 417.71/63.35 (![Xphi:$o]: ((![B]: (in(Xx,B) => (in(B,A) => Xphi))) => Xphi))))). 417.71/63.35 tff('254', plain, 417.71/63.35 setunionE = 417.71/63.35 (![X4,X6]: 417.71/63.35 (in(X6,setunion(X4)) => 417.71/63.35 (![X8:$o]: ((![X10]: (in(X6,X10) => (in(X10,X4) => X8))) => X8)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setunionI, axiom, setunionI <=> 417.71/63.35 (![A,Xx,B]: (in(Xx,B) => (in(B,A) => in(Xx,setunion(A)))))). 417.71/63.35 tff('255', plain, 417.71/63.35 setunionI = 417.71/63.35 (![X4,X6,X8]: (in(X6,X8) => (in(X8,X4) => in(X6,setunion(X4))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(powersetE, axiom, powersetE <=> 417.71/63.35 (![A,B,Xx]: (in(B,powerset(A)) => (in(Xx,B) => in(Xx,A))))). 417.71/63.35 tff('256', plain, 417.71/63.35 powersetE = 417.71/63.35 (![X4,X6,X8]: (in(X6,powerset(X4)) => (in(X8,X6) => in(X8,X4)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(emptyInPowerset, axiom, emptyInPowerset <=> 417.71/63.35 (![A]: in(emptyset,powerset(A)))). 417.71/63.35 tff('257', plain, emptyInPowerset = (![X4]: in(emptyset,powerset(X4))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(emptyinPowerset, axiom, emptyinPowerset <=> 417.71/63.35 (![A]: in(emptyset,powerset(A)))). 417.71/63.35 tff('258', plain, emptyinPowerset = (![X4]: in(emptyset,powerset(X4))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(powersetI, axiom, powersetI <=> 417.71/63.35 (![A,B]: ((![Xx]: (in(Xx,B) => in(Xx,A))) => in(B,powerset(A))))). 417.71/63.35 tff('259', plain, 417.71/63.35 powersetI = 417.71/63.35 (![X4,X6]: ((![X8]: (in(X8,X6) => in(X8,X4))) => in(X6,powerset(X4)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setoftrueEq, axiom, setoftrueEq <=> 417.71/63.35 (![A]: (dsetconstr(A,^[Xx]: $true) = A))). 417.71/63.35 tff('260', plain, setoftrueEq = (![X4]: (dsetconstr(X4,^[V_1]: $true) = X4)), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setadjoinOr, axiom, setadjoinOr <=> 417.71/63.35 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) => ((Xy = Xx) | in(Xy,A))))). 417.71/63.35 tff('261', plain, 417.71/63.35 setadjoinOr = 417.71/63.35 (![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) => ((X8 = X4) | in(X8,X6)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setadjoinE, axiom, setadjoinE <=> 417.71/63.35 (![Xx,A,Xy]: 417.71/63.35 (in(Xy,setadjoin(Xx,A)) => 417.71/63.35 (![Xphi:$o]: (((Xy = Xx) => Xphi) => ((in(Xy,A) => Xphi) => Xphi)))))). 417.71/63.35 tff('262', plain, 417.71/63.35 setadjoinE = 417.71/63.35 (![X4,X6,X8]: 417.71/63.35 (in(X8,setadjoin(X4,X6)) => 417.71/63.35 (![X10:$o]: (((X8 = X4) => X10) => ((in(X8,X6) => X10) => X10))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setadjoinIR, axiom, setadjoinIR <=> 417.71/63.35 (![Xx,A,Xy]: (in(Xy,A) => in(Xy,setadjoin(Xx,A))))). 417.71/63.35 tff('263', plain, 417.71/63.35 setadjoinIR = (![X4,X6,X8]: (in(X8,X6) => in(X8,setadjoin(X4,X6)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(emptyinunitempty, axiom, emptyinunitempty() = 417.71/63.35 in(emptyset,setadjoin(emptyset,emptyset))). 417.71/63.35 tff('264', plain, 417.71/63.35 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 417.71/63.35 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 417.71/63.35 tff('265', plain, 417.71/63.35 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setadjoinIL, axiom, setadjoinIL <=> (![Xx,Xy]: in(Xx,setadjoin(Xx,Xy)))). 417.71/63.35 tff('266', plain, setadjoinIL = (![X4,X6]: in(X4,setadjoin(X4,X6))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(nonemptyI1, axiom, nonemptyI1 <=> 417.71/63.35 (![A]: ((?[Xx]: in(Xx,A)) => nonempty(A)))). 417.71/63.35 tff('267', plain, nonemptyI1 = (![X4]: ((?[X6]: in(X6,X4)) => nonempty(X4))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(nonemptyI, axiom, nonemptyI <=> 417.71/63.35 (![A,Xphi:(($i > $o)),Xx]: 417.71/63.35 (in(Xx,A) => (Xphi(Xx) => nonempty(dsetconstr(A,^[Xy]: Xphi(Xy))))))). 417.71/63.35 tff('268', plain, 417.71/63.35 nonemptyI = 417.71/63.35 (![X4,X6:(($i > $o)),X8]: 417.71/63.35 (in(X8,X4) => (X6(X8) => nonempty(dsetconstr(X4,^[V_1]: X6(V_1)))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(nonemptyE1, axiom, nonemptyE1 <=> 417.71/63.35 (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))). 417.71/63.35 tff('269', plain, nonemptyE1 = (![X4]: (nonempty(X4) => (?[X6]: in(X6,X4)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(nonempty, axiom, nonempty() = ^[Xx]: (Xx != emptyset)). 417.71/63.35 tff('270', plain, nonempty = (^[Xx]: (Xx != emptyset)), 417.71/63.35 inference('simplify_rw_rule', [status(thm)], [nonempty])). 417.71/63.35 tff('271', plain, nonempty = (^[V_1]: (V_1 != emptyset)), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setbeta, axiom, setbeta <=> 417.71/63.35 (![A,Xphi:(($i > $o)),Xx]: 417.71/63.35 (in(Xx,A) => (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) <=> Xphi(Xx))))). 417.71/63.35 tff('272', plain, 417.71/63.35 setbeta = 417.71/63.35 (![X4,X6:(($i > $o)),X8]: 417.71/63.35 (in(X8,X4) => (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) <=> X6(X8)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(noeltsimpempty, axiom, noeltsimpempty <=> 417.71/63.35 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 417.71/63.35 tff('273', plain, 417.71/63.35 noeltsimpempty = (![X4]: ((![X6]: (~in(X6,X4))) => (X4 = emptyset))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(emptyI, axiom, emptyI <=> 417.71/63.35 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 417.71/63.35 tff('274', plain, 417.71/63.35 emptyI = (![X4]: ((![X6]: (~in(X6,X4))) => (X4 = emptyset))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setext, axiom, setext <=> 417.71/63.35 (![A,B]: 417.71/63.35 ((![Xx]: (in(Xx,A) => in(Xx,B))) => 417.71/63.35 ((![Xx]: (in(Xx,B) => in(Xx,A))) => (A = B))))). 417.71/63.35 tff('275', plain, 417.71/63.35 setext = 417.71/63.35 (![X4,X6]: 417.71/63.35 ((![X8]: (in(X8,X4) => in(X8,X6))) => 417.71/63.35 ((![X10]: (in(X10,X6) => in(X10,X4))) => (X4 = X6)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(exuE3e, axiom, exuE3e <=> 417.71/63.35 (![Xphi:(($i > $o))]: (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: Xphi(Xx))))). 417.71/63.35 tff('276', plain, 417.71/63.35 exuE3e = (![X4:(($i > $o))]: (exu(^[V_1]: X4(V_1)) => (?[X6]: X4(X6)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(notinemptyset, axiom, notinemptyset <=> (![Xx]: (~in(Xx,emptyset)))). 417.71/63.35 tff('277', plain, notinemptyset = (![X4]: (~in(X4,emptyset))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(emptysetimpfalse, axiom, emptysetimpfalse <=> 417.71/63.35 (![Xx]: (in(Xx,emptyset) => $false))). 417.71/63.35 tff('278', plain, emptysetimpfalse = (![X4]: (in(X4,emptyset) => $false)), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(emptysetE, axiom, emptysetE <=> 417.71/63.35 (![Xx]: (in(Xx,emptyset) => (![Xphi:$o]: Xphi)))). 417.71/63.35 tff('279', plain, emptysetE = (![X4]: (in(X4,emptyset) => (![X6:$o]: X6))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(prop2setE, axiom, prop2setE <=> 417.71/63.35 (![Xphi:$o,Xx]: (in(Xx,prop2set(Xphi)) => Xphi))). 417.71/63.35 tff('280', plain, prop2setE = (![X4:$o,X6]: (in(X6,prop2set(X4)) => X4)), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(exuE1, axiom, exuE1 <=> 417.71/63.35 (![Xphi:(($i > $o))]: 417.71/63.35 (exu(^[Xx]: Xphi(Xx)) => 417.71/63.35 (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))))). 417.71/63.35 tff('281', plain, 417.71/63.35 exuE1 = 417.71/63.35 (![X4:(($i > $o))]: 417.71/63.35 (exu(^[V_1]: X4(V_1)) => 417.71/63.35 (?[X6]: ((![X8]: (X4(X8) => (X6 = X8))) & X4(X6))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(dsetconstrER, axiom, dsetconstrER <=> 417.71/63.35 (![A,Xphi:(($i > $o)),Xx]: 417.71/63.35 (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => Xphi(Xx)))). 417.71/63.35 tff('282', plain, 417.71/63.35 dsetconstrER = 417.71/63.35 (![X4,X6:(($i > $o)),X8]: 417.71/63.35 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => X6(X8))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(dsetconstrEL, axiom, dsetconstrEL <=> 417.71/63.35 (![A,Xphi:(($i > $o)),Xx]: 417.71/63.35 (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => in(Xx,A)))). 417.71/63.35 tff('283', plain, 417.71/63.35 dsetconstrEL = 417.71/63.35 (![X4,X6:(($i > $o)),X8]: 417.71/63.35 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => in(X8,X4))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(dsetconstrI, axiom, dsetconstrI <=> 417.71/63.35 (![A,Xphi:(($i > $o)),Xx]: 417.71/63.35 (in(Xx,A) => (Xphi(Xx) => in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))))))). 417.71/63.35 tff('284', plain, 417.71/63.35 dsetconstrI = 417.71/63.35 (![X4,X6:(($i > $o)),X8]: 417.71/63.35 (in(X8,X4) => (X6(X8) => in(X8,dsetconstr(X4,^[V_1]: X6(V_1)))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(descrp, axiom, descrp <=> 417.71/63.35 (![Xphi:(($i > $o))]: 417.71/63.35 (exu(^[Xx]: Xphi(Xx)) => Xphi(descr(^[Xx]: Xphi(Xx)))))). 417.71/63.35 tff('285', plain, 417.71/63.35 descrp = 417.71/63.35 (![X4:(($i > $o))]: (exu(^[V_1]: X4(V_1)) => X4(descr(^[V_2]: X4(V_2))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(wellorderingAx, axiom, wellorderingAx <=> 417.71/63.35 (![A]: 417.71/63.35 (?[B]: 417.71/63.35 ((![C]: 417.71/63.35 (((![Xx]: (in(Xx,C) => in(Xx,A))) & (?[Xx]: in(Xx,C))) => 417.71/63.35 (?[D,Xx]: 417.71/63.35 ((![E]: 417.71/63.35 (in(E,B) => ((![Xy]: (in(Xy,E) => in(Xy,D))) | in(Xx,E)))) & 417.71/63.35 (~(?[Xy]: (in(Xy,C) & in(Xy,D)))) & in(Xx,C) & in(D,B))))) & 417.71/63.35 (![C,D]: 417.71/63.35 ((in(C,B) & in(D,B)) => 417.71/63.35 ((![Xx]: (in(Xx,C) => in(Xx,D))) | 417.71/63.35 (![Xx]: (in(Xx,D) => in(Xx,C)))))) & 417.71/63.35 (![Xx,Xy]: 417.71/63.35 ((in(Xx,A) & in(Xy,A)) => 417.71/63.35 ((![C]: (in(C,B) => (in(Xx,C) <=> in(Xy,C)))) => (Xx = Xy)))) & 417.71/63.35 (![C]: (in(C,B) => (![Xx]: (in(Xx,C) => in(Xx,A))))))))). 417.71/63.35 tff('286', plain, 417.71/63.35 wellorderingAx = 417.71/63.35 (![X4]: 417.71/63.35 (?[X6]: 417.71/63.35 ((![X8]: 417.71/63.35 (((![X10]: (in(X10,X8) => in(X10,X4))) & (?[X12]: in(X12,X8))) => 417.71/63.35 (?[X14,X16]: 417.71/63.35 ((![X18]: 417.71/63.35 (in(X18,X6) => 417.71/63.35 ((![X20]: (in(X20,X18) => in(X20,X14))) | in(X16,X18)))) & 417.71/63.35 (~(?[X22]: (in(X22,X8) & in(X22,X14)))) & in(X16,X8) & 417.71/63.35 in(X14,X6))))) & 417.71/63.35 (![X24,X26]: 417.71/63.35 ((in(X24,X6) & in(X26,X6)) => 417.71/63.35 ((![X28]: (in(X28,X24) => in(X28,X26))) | 417.71/63.35 (![X30]: (in(X30,X26) => in(X30,X24)))))) & 417.71/63.35 (![X32,X34]: 417.71/63.35 ((in(X32,X4) & in(X34,X4)) => 417.71/63.35 ((![X36]: (in(X36,X6) => (in(X32,X36) <=> in(X34,X36)))) => 417.71/63.35 (X32 = X34)))) & 417.71/63.35 (![X38]: (in(X38,X6) => (![X40]: (in(X40,X38) => in(X40,X4)))))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(foundationAx, axiom, foundationAx <=> 417.71/63.35 (![A]: 417.71/63.35 ((?[Xx]: in(Xx,A)) => 417.71/63.35 (?[B]: ((~(?[Xx]: (in(Xx,A) & in(Xx,B)))) & in(B,A)))))). 417.71/63.35 tff('287', plain, 417.71/63.35 foundationAx = 417.71/63.35 (![X4]: 417.71/63.35 ((?[X6]: in(X6,X4)) => 417.71/63.35 (?[X8]: ((~(?[X10]: (in(X10,X4) & in(X10,X8)))) & in(X8,X4))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(replAx, axiom, replAx <=> 417.71/63.35 (![Xphi:(($i * $i) > $o),A]: 417.71/63.35 ((![Xx]: (in(Xx,A) => exu(^[Xy]: Xphi(Xx,Xy)))) => 417.71/63.35 (?[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: (Xphi(Xy,Xx) & in(Xy,A))))))))). 417.71/63.35 tff('288', plain, 417.71/63.35 replAx = 417.71/63.35 (![X4:(($i * $i) > $o),X6]: 417.71/63.35 ((![X8]: (in(X8,X6) => exu(^[V_1]: X4(X8,V_1)))) => 417.71/63.35 (?[X10]: 417.71/63.35 (![X12]: (in(X12,X10) <=> (?[X14]: (X4(X14,X12) & in(X14,X6)))))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(omegaIndAx, axiom, omegaIndAx <=> 417.71/63.35 (![A]: 417.71/63.35 ((in(emptyset,A) & 417.71/63.35 (![Xx]: ((in(Xx,omega) & in(Xx,A)) => in(setadjoin(Xx,Xx),A)))) => 417.71/63.35 (![Xx]: (in(Xx,omega) => in(Xx,A)))))). 417.71/63.35 tff('289', plain, 417.71/63.35 omegaIndAx = 417.71/63.35 (![X4]: 417.71/63.35 ((in(emptyset,X4) & 417.71/63.35 (![X6]: ((in(X6,omega) & in(X6,X4)) => in(setadjoin(X6,X6),X4)))) => 417.71/63.35 (![X8]: (in(X8,omega) => in(X8,X4))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(omegaSAx, axiom, omegaSAx <=> 417.71/63.35 (![Xx]: (in(Xx,omega) => in(setadjoin(Xx,Xx),omega)))). 417.71/63.35 tff('290', plain, 417.71/63.35 omegaSAx = (![X4]: (in(X4,omega) => in(setadjoin(X4,X4),omega))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(omega0Ax, axiom, omega0Ax() = in(emptyset,omega)). 417.71/63.35 tff('291', plain, omega0Ax = in(emptyset,omega), 417.71/63.35 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 417.71/63.35 tff('292', plain, omega0Ax = in(emptyset,omega), define([status(thm)])). 417.71/63.35 tff(setunionAx, axiom, setunionAx <=> 417.71/63.35 (![A,Xx]: (in(Xx,setunion(A)) <=> (?[B]: (in(B,A) & in(Xx,B)))))). 417.71/63.35 tff('293', plain, 417.71/63.35 setunionAx = 417.71/63.35 (![X4,X6]: (in(X6,setunion(X4)) <=> (?[X8]: (in(X8,X4) & in(X6,X8))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(powersetAx, axiom, powersetAx <=> 417.71/63.35 (![A,B]: (in(B,powerset(A)) <=> (![Xx]: (in(Xx,B) => in(Xx,A)))))). 417.71/63.35 tff('294', plain, 417.71/63.35 powersetAx = 417.71/63.35 (![X4,X6]: (in(X6,powerset(X4)) <=> (![X8]: (in(X8,X6) => in(X8,X4))))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setadjoinAx, axiom, setadjoinAx <=> 417.71/63.35 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) <=> ((Xy = Xx) | in(Xy,A))))). 417.71/63.35 tff('295', plain, 417.71/63.35 setadjoinAx = 417.71/63.35 (![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) <=> ((X8 = X4) | in(X8,X6)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(emptysetAx, axiom, emptysetAx <=> (![Xx]: (~in(Xx,emptyset)))). 417.71/63.35 tff('296', plain, emptysetAx = (![X4]: (~in(X4,emptyset))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(setextAx, axiom, setextAx <=> 417.71/63.35 (![A,B]: ((![Xx]: (in(Xx,A) <=> in(Xx,B))) => (A = B)))). 417.71/63.35 tff('297', plain, 417.71/63.35 setextAx = (![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(exu, axiom, exu() = 417.71/63.35 ^[Xphi:(($i > $o))]: (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))). 417.71/63.35 tff('298', plain, 417.71/63.35 exu = 417.71/63.35 (^[Xphi:(($i > $o))]: 417.71/63.35 (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))), 417.71/63.35 inference('simplify_rw_rule', [status(thm)], [exu])). 417.71/63.35 tff('299', plain, 417.71/63.35 exu = 417.71/63.35 (^[V_1:(($i > $o))]: (?[X4]: ((![X6]: (V_1(X6) => (X4 = X6))) & V_1(X4)))), 417.71/63.35 define([status(thm)])). 417.71/63.35 tff(eqbreln1, conjecture, 417.71/63.35 (setextAx => 417.71/63.35 (emptysetAx => 417.71/63.35 (setadjoinAx => 417.71/63.35 (powersetAx => 417.71/63.35 (setunionAx => 417.71/63.35 (omega0Ax => 417.71/63.35 (omegaSAx => 417.71/63.35 (omegaIndAx => 417.71/63.35 (replAx => 417.71/63.35 (foundationAx => 417.71/63.35 (wellorderingAx => 417.71/63.35 (descrp => 417.71/63.35 (dsetconstrI => 417.71/63.35 (dsetconstrEL => 417.71/63.35 (dsetconstrER => 417.71/63.35 (exuE1 => 417.71/63.35 (prop2setE => 417.71/63.35 (emptysetE => 417.71/63.35 (emptysetimpfalse => 417.71/63.35 (notinemptyset => 417.71/63.35 (exuE3e => 417.71/63.35 (setext => 417.71/63.35 (emptyI => 417.71/63.35 (noeltsimpempty => 417.71/63.35 (setbeta => 417.71/63.35 (nonemptyE1 => 417.71/63.35 (nonemptyI => 417.71/63.35 (nonemptyI1 => 417.71/63.35 (setadjoinIL => 417.71/63.35 (emptyinunitempty => 417.71/63.35 (setadjoinIR => 417.71/63.35 (setadjoinE => 417.71/63.35 (setadjoinOr => 417.71/63.35 (setoftrueEq => 417.71/63.35 (powersetI => 417.71/63.35 (emptyinPowerset => 417.71/63.35 (emptyInPowerset => 417.71/63.35 (powersetE => 417.71/63.35 (setunionI => 417.71/63.35 (setunionE => 417.71/63.35 (subPowSU => 417.71/63.35 (exuE2 => 417.71/63.35 (nonemptyImpWitness => 417.71/63.35 (uniqinunit => 417.71/63.35 (notinsingleton => 417.71/63.35 (eqinunit => 417.71/63.35 (singletonsswitch => 417.71/63.35 (upairsetE => 417.71/63.35 (upairsetIL => 417.71/63.35 (upairsetIR => 417.71/63.35 (emptyE1 => 417.71/63.35 (vacuousDall => 417.71/63.35 (quantDeMorgan1 => 417.71/63.35 (quantDeMorgan2 => 417.71/63.35 (quantDeMorgan3 => 417.71/63.35 (quantDeMorgan4 => 417.71/63.35 (prop2setI => 417.71/63.35 (prop2set2propI => 417.71/63.35 (notdexE => 417.71/63.35 (notdallE => 417.71/63.35 (exuI1 => 417.71/63.35 (exuI3 => 417.71/63.35 (exuI2 => 417.71/63.35 (inCongP => 417.71/63.35 (in__Cong => 417.71/63.35 (exuE3u => 417.71/63.35 ( 417.71/63.35 exu__Cong => 417.71/63.35 ( 417.71/63.35 emptyset__Cong => 417.71/63.35 ( 417.71/63.35 setadjoin__Cong => 417.71/63.35 ( 417.71/63.35 powerset__Cong => 417.71/63.35 ( 417.71/63.35 setunion__Cong => 417.71/63.35 ( 417.71/63.35 omega__Cong => 417.71/63.35 ( 417.71/63.35 exuEu => 417.71/63.35 ( 417.71/63.35 descr__Cong => 417.71/63.35 ( 417.71/63.35 dsetconstr__Cong => 417.71/63.35 ( 417.71/63.35 subsetI1 => 417.71/63.35 ( 417.71/63.35 eqimpsubset2 => 417.71/63.35 ( 417.71/63.35 eqimpsubset1 => 417.71/63.35 ( 417.71/63.35 subsetI2 => 417.71/63.35 ( 417.71/63.35 emptysetsubset => 417.71/63.35 ( 417.71/63.35 subsetE => 417.71/63.35 ( 417.71/63.35 subsetE2 => 417.71/63.35 ( 417.71/63.35 notsubsetI => 417.71/63.35 ( 417.71/63.35 notequalI1 => 417.71/63.35 ( 417.71/63.35 notequalI2 => 417.71/63.35 ( 417.71/63.35 subsetRefl => 417.71/63.35 ( 417.71/63.35 subsetTrans => 417.71/63.35 ( 417.71/63.35 setadjoinSub => 417.71/63.35 ( 417.71/63.35 setadjoinSub2 => 417.71/63.35 ( 417.71/63.35 subset2powerset => 417.71/63.35 ( 417.71/63.35 setextsub => 417.71/63.35 ( 417.71/63.35 subsetemptysetimpeq => 417.71/63.35 ( 417.71/63.35 powersetI1 => 417.71/63.35 ( 417.71/63.35 powersetE1 => 417.71/63.35 ( 417.71/63.35 inPowerset => 417.71/63.35 ( 417.71/63.35 powersetsubset => 417.71/63.35 ( 417.71/63.35 sepInPowerset => 417.71/63.35 ( 417.71/63.35 sepSubset => 417.71/63.35 ( 417.71/63.35 binunionIL => 417.71/63.35 ( 417.71/63.35 upairset2IR => 417.71/63.35 ( 417.71/63.35 binunionIR => 417.71/63.35 ( 417.71/63.35 binunionEcases => 417.71/63.35 ( 417.71/63.35 binunionE => 417.71/63.35 ( 417.71/63.35 binunionLsub => 417.71/63.35 ( 417.71/63.35 binunionRsub => 417.71/63.35 ( 417.71/63.35 binintersectI => 417.71/63.35 ( 417.71/63.35 binintersectSubset5 => 417.71/63.35 ( 417.71/63.35 binintersectEL => 417.71/63.35 ( 417.71/63.35 binintersectLsub => 417.71/63.35 ( 417.71/63.35 binintersectSubset2 => 417.71/63.35 ( 417.71/63.35 binintersectSubset3 => 417.71/63.35 ( 417.71/63.35 binintersectER => 417.71/63.35 ( 417.71/63.35 disjointsetsI1 => 417.71/63.35 ( 417.71/63.35 binintersectRsub => 417.71/63.35 ( 417.71/63.35 binintersectSubset4 => 417.71/63.35 ( 417.71/63.35 binintersectSubset1 => 417.71/63.35 ( 417.71/63.35 bs114d => 417.71/63.35 ( 417.71/63.35 setminusI => 417.71/63.35 ( 417.71/63.35 setminusEL => 417.71/63.35 ( 417.71/63.35 setminusER => 417.71/63.35 ( 417.71/63.35 setminusSubset2 => 417.71/63.35 ( 417.71/63.35 setminusERneg => 417.71/63.35 ( 417.71/63.35 setminusELneg => 417.71/63.35 ( 417.71/63.35 setminusILneg => 417.71/63.35 ( 417.71/63.35 setminusIRneg => 417.71/63.35 ( 417.71/63.35 setminusLsub => 417.71/63.35 ( 417.71/63.35 setminusSubset1 => 417.71/63.35 ( 417.71/63.35 symdiffE => 417.71/63.35 ( 417.71/63.35 symdiffI1 => 417.71/63.35 ( 417.71/63.35 symdiffI2 => 417.71/63.35 ( 417.71/63.35 symdiffIneg1 => 417.71/63.35 ( 417.71/63.35 symdiffIneg2 => 417.71/63.35 ( 417.71/63.35 secondinupair => 417.71/63.35 ( 417.71/63.35 setukpairIL => 417.71/63.35 ( 417.71/63.35 setukpairIR => 417.71/63.35 ( 417.71/63.35 kpairiskpair => 417.71/63.35 ( 417.71/63.35 kpairp => 417.71/63.35 ( 417.71/63.35 singletonsubset => 417.71/63.35 ( 417.71/63.35 singletoninpowerset => 417.71/63.35 ( 417.71/63.35 singletoninpowunion => 417.71/63.35 ( 417.71/63.35 upairset2E => 417.71/63.35 ( 417.71/63.35 upairsubunion => 417.71/63.35 ( 417.71/63.35 upairinpowunion => 417.71/63.35 ( 417.71/63.35 ubforcartprodlem1 => 417.71/63.35 ( 417.71/63.35 ubforcartprodlem2 => 417.71/63.35 ( 417.71/63.35 ubforcartprodlem3 => 417.71/63.35 ( 417.71/63.35 cartprodpairin => 417.71/63.35 ( 417.71/63.35 cartprodmempair1 => 417.71/63.35 ( 417.71/63.35 cartprodmempair => 417.71/63.35 ( 417.71/63.35 setunionE2 => 417.71/63.35 ( 417.71/63.35 setunionsingleton1 => 417.71/63.35 ( 417.71/63.35 setunionsingleton2 => 417.71/63.35 ( 417.71/63.35 setunionsingleton => 417.71/63.35 ( 417.71/63.35 singletonprop => 417.71/63.35 ( 417.71/63.35 ex1E1 => 417.71/63.35 ( 417.71/63.35 ex1I => 417.71/63.35 ( 417.71/63.35 ex1I2 => 417.71/63.35 ( 417.71/63.35 singletonsuniq => 417.71/63.35 ( 417.71/63.35 setukpairinjL1 => 417.71/63.35 ( 417.71/63.35 kfstsingleton => 417.71/63.35 ( 417.71/63.35 theprop => 417.71/63.35 ( 417.71/63.35 kfstpairEq => 417.71/63.35 ( 417.71/63.35 cartprodfstin => 417.71/63.35 ( 417.71/63.35 setukpairinjL2 => 417.71/63.35 ( 417.71/63.35 setukpairinjL => 417.71/63.35 ( 417.71/63.35 setukpairinjR11 => 417.71/63.35 ( 417.71/63.35 setukpairinjR12 => 417.71/63.35 ( 417.71/63.35 setukpairinjR1 => 417.71/63.35 ( 417.71/63.35 upairequniteq => 417.71/63.35 ( 417.71/63.35 setukpairinjR2 => 417.71/63.35 ( 417.71/63.35 setukpairinjR => 417.71/63.35 ( 417.71/63.35 ksndsingleton => 417.71/63.35 ( 417.71/63.35 ksndpairEq => 417.71/63.35 ( 417.71/63.35 kpairsurjEq => 417.71/63.35 ( 417.71/63.35 cartprodsndin => 417.71/63.35 ( 417.71/63.35 cartprodpairmemEL => 417.71/63.35 ( 417.71/63.35 cartprodpairmemER => 417.71/63.35 ( 417.71/63.35 cartprodmempaircEq => 417.71/63.35 ( 417.71/63.35 cartprodfstpairEq => 417.71/63.35 ( 417.71/63.35 cartprodsndpairEq => 417.71/63.35 ( 417.71/63.35 cartprodpairsurjEq => 417.71/63.35 ( 417.71/63.35 dpsetconstrI => 417.71/63.35 ( 417.71/63.35 dpsetconstrSub => 417.71/63.35 ( 417.71/63.35 setOfPairsIsBReln => 417.71/63.35 ( 417.71/63.35 dpsetconstrERa => 417.71/63.35 ( 417.71/63.35 dpsetconstrEL1 => 417.71/63.35 ( 417.71/63.35 dpsetconstrEL2 => 417.71/63.35 ( 417.71/63.35 dpsetconstrER => 417.71/63.35 ( 417.71/63.35 funcImageSingleton => 417.71/63.35 ( 417.71/63.35 apProp => 417.71/63.35 ( 417.71/63.35 app => 417.71/63.35 ( 417.71/63.35 infuncsetfunc => 417.71/63.35 ( 417.71/63.35 ap2p => 417.71/63.35 ( 417.71/63.35 funcinfuncset => 417.71/63.35 ( 417.71/63.35 lamProp => 417.71/63.35 ( 417.71/63.35 lamp => 417.71/63.35 ( 417.71/63.35 lam2p => 417.71/63.35 ( 417.71/63.35 brelnall1 => 417.71/63.35 ( 417.71/63.35 brelnall2 => 417.71/63.35 ( 417.71/63.35 ex1E2 => 417.71/63.35 ( 417.71/63.35 funcGraphProp1 => 417.71/63.35 ( 417.71/63.35 funcGraphProp3 => 417.71/63.35 ( 417.71/63.35 funcGraphProp2 => 417.71/63.35 ( 417.71/63.35 funcextLem => 417.71/63.35 ( 417.71/63.35 funcGraphProp4 => 417.71/63.35 ( 417.71/63.35 subbreln => 417.71/63.35 ( 417.71/63.35 eqbreln => 417.71/63.35 ( 417.71/63.35 funcext => 417.71/63.35 ( 417.71/63.35 funcext2 => 417.71/63.35 ( 417.71/63.35 ap2apEq1 => 417.71/63.35 ( 417.71/63.35 ap2apEq2 => 417.71/63.35 ( 417.71/63.35 beta1 => 417.71/63.35 ( 417.71/63.35 eta1 => 417.71/63.35 ( 417.71/63.35 lam2lamEq => 417.71/63.35 ( 417.71/63.35 beta2 => 417.71/63.35 ( 417.71/63.35 eta2 => 417.71/63.35 ( 417.71/63.35 iffalseProp1 => 417.71/63.35 ( 417.71/63.35 iffalseProp2 => 417.71/63.35 ( 417.71/63.35 iftrueProp1 => 417.71/63.35 ( 417.71/63.35 iftrueProp2 => 417.71/63.35 ( 417.71/63.35 ifSingleton => 417.71/63.35 ( 417.71/63.35 ifp => 417.71/63.35 ( 417.71/63.35 theeq => 417.71/63.35 ( 417.71/63.35 iftrue => 417.71/63.35 ( 417.71/63.35 iffalse => 417.71/63.35 ( 417.71/63.35 iftrueorfalse => 417.71/63.35 ( 417.71/63.35 binintersectT_lem => 417.71/63.35 ( 417.71/63.35 binunionT_lem => 417.71/63.35 ( 417.71/63.35 powersetT_lem => 417.71/63.35 ( 417.71/63.35 setminusT_lem => 417.71/63.35 ( 417.71/63.35 complementT_lem => 417.71/63.35 ( 417.71/63.35 setextT => 417.71/63.35 ( 417.71/63.35 subsetTI => 417.71/63.35 ( 417.71/63.35 powersetTI1 => 417.71/63.35 ( 417.71/63.35 powersetTE1 => 417.71/63.35 ( 417.71/63.35 complementTI1 => 417.71/63.35 ( 417.71/63.35 complementTE1 => 417.71/63.35 ( 417.71/63.35 binintersectTELcontra => 417.71/63.35 ( 417.71/63.35 binintersectTERcontra => 417.71/63.35 ( 417.71/63.35 contrasubsetT => 417.71/63.35 ( 417.71/63.35 contrasubsetT1 => 417.71/63.35 ( 417.71/63.35 contrasubsetT2 => 417.71/63.35 ( 417.71/63.35 contrasubsetT3 => 417.71/63.35 ( 417.71/63.35 doubleComplementI1 => 417.71/63.35 ( 417.71/63.35 doubleComplementE1 => 417.71/63.35 ( 417.71/63.35 doubleComplementSub1 => 417.71/63.35 ( 417.71/63.35 doubleComplementSub2 => 417.71/63.35 ( 417.71/63.35 doubleComplementEq => 417.71/63.35 ( 417.71/63.35 complementTnotintersectT => 417.71/63.35 ( 417.71/63.35 complementImpComplementIntersect => 417.71/63.35 ( 417.71/63.35 complementSubsetComplementIntersect => 417.71/63.35 ( 417.71/63.35 complementInPowersetComplementIntersect => 417.71/63.35 ( 417.71/63.35 contraSubsetComplement => 417.71/63.35 ( 417.71/63.35 complementTcontraSubset => 417.71/63.35 ( 417.71/63.35 binunionTILcontra => 417.71/63.35 ( 417.71/63.35 binunionTIRcontra => 417.71/63.35 ( 417.71/63.35 inIntersectImpInUnion => 417.71/63.35 ( 417.71/63.35 inIntersectImpInUnion2 => 417.71/63.35 ( 417.71/63.35 inIntersectImpInIntersectUnions => 417.71/63.35 ( 417.71/63.35 intersectInPowersetIntersectUnions => 417.71/63.35 ( 417.71/63.35 inComplementUnionImpNotIn1 => 417.71/63.35 ( 417.71/63.35 inComplementUnionImpInComplement1 => 417.71/63.35 ( 417.71/63.35 binunionTE => 417.71/63.35 ( 417.71/63.35 binunionTEcontra => 417.71/63.35 ( 417.71/63.35 demorgan2a1 => 417.71/63.35 ( 417.71/63.35 complementUnionInPowersetComplement => 417.71/63.35 ( 417.71/63.35 demorgan2a2 => 417.71/63.35 ( 417.71/63.35 demorgan1a => 417.71/63.35 ( 417.71/63.35 demorgan1b => 417.71/63.35 ( 417.71/63.35 demorgan1 => 417.71/63.35 ( 417.71/63.35 demorgan2a => 417.71/63.35 ( 417.71/63.35 demorgan2b2 => 417.71/63.35 ( 417.71/63.35 demorgan2b => 417.71/63.35 ( 417.71/63.35 demorgan2 => 417.71/63.35 ( 417.71/63.35 woz13rule0 => 417.71/63.35 ( 417.71/63.35 woz13rule1 => 417.71/63.35 ( 417.71/63.35 woz13rule2 => 417.71/63.35 ( 417.71/63.35 woz13rule3 => 417.71/63.35 ( 417.71/63.35 woz13rule4 => 417.71/63.35 ( 417.71/63.35 woz1_1 => 417.71/63.35 ( 417.71/63.35 woz1_2 => 417.71/63.35 ( 417.71/63.35 woz1_3 => 417.71/63.35 ( 417.71/63.35 woz1_4 => 417.71/63.35 ( 417.71/63.35 woz1_5 => 417.71/63.35 ( 417.71/63.35 breln1all2 => 417.71/63.35 ( 417.71/63.35 breln1SetBreln1 => 417.71/63.35 ( 417.71/63.35 choice2fnsingleton => 417.71/63.35 ( 417.71/63.35 setOfPairsIsBReln1 => 417.71/63.35 ( 417.71/63.35 breln1all1 => 417.71/63.35 ( 417.71/63.35 subbreln1 => 417.71/63.35 ( 417.71/63.35 ![A,R]: 417.71/63.35 (breln1( 417.71/63.35 A,R) => 417.71/63.35 (![S]: 417.71/63.35 (breln1( 417.71/63.35 A,S) => 417.71/63.35 (( 417.71/63.35 ![Xx]: 417.71/63.35 (in(Xx,A) => 417.71/63.35 (![Xy]: 417.71/63.35 (in(Xy,A) => 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 Xx,Xy),R) => 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 Xx,Xy),S)))))) => 417.71/63.35 (( 417.71/63.35 ![Xx]: 417.71/63.35 (in(Xx,A) => 417.71/63.35 (![Xy]: 417.71/63.35 (in(Xy,A) => 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 Xx,Xy),S) => 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 Xx,Xy),R)))))) => 417.71/63.35 (R = S)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 417.71/63.35 tff(zf_stmt_0, conjecture, 417.71/63.35 ((![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))) => 417.71/63.35 ((![X10]: (~in(X10,emptyset))) => 417.71/63.35 ((![X12,X14,X16]: 417.71/63.35 (in(X16,setadjoin(X12,X14)) <=> (in(X16,X14) | (X16 = X12)))) => 417.71/63.35 ((![X18,X20]: 417.71/63.35 (in(X20,powerset(X18)) <=> (![X22]: (in(X22,X20) => in(X22,X18))))) => 417.71/63.35 ((![X24,X26]: 417.71/63.35 (in(X26,setunion(X24)) <=> (?[X28]: (in(X26,X28) & in(X28,X24))))) => 417.71/63.35 (in(emptyset,omega) => 417.71/63.35 ((![X30]: (in(X30,omega) => in(setadjoin(X30,X30),omega))) => 417.71/63.35 ((![X32]: 417.71/63.35 (((![X34]: 417.71/63.35 ((in(X34,X32) & in(X34,omega)) => 417.71/63.35 in(setadjoin(X34,X34),X32))) & 417.71/63.35 in(emptyset,X32)) => 417.71/63.35 (![X36]: (in(X36,omega) => in(X36,X32))))) => 417.71/63.35 ((![X38:(($i * $i) > $o),X40]: 417.71/63.35 ((![X42]: 417.71/63.35 (in(X42,X40) => 417.71/63.35 (?[X44]: 417.71/63.35 (X38(X42,X44) & (![X46]: (X38(X42,X46) => (X44 = X46))))))) => 417.71/63.35 (?[X48]: 417.71/63.35 (![X50]: 417.71/63.35 (in(X50,X48) <=> (?[X52]: (in(X52,X40) & X38(X52,X50)))))))) => 417.71/63.35 ((![X54]: 417.71/63.35 ((?[X56]: in(X56,X54)) => 417.71/63.35 (?[X58]: 417.71/63.35 (in(X58,X54) & (~(?[X60]: (in(X60,X58) & in(X60,X54)))))))) => 417.71/63.35 ((![X62]: 417.71/63.35 (?[X64]: 417.71/63.35 ((![X96]: 417.71/63.35 (in(X96,X64) => (![X98]: (in(X98,X96) => in(X98,X62))))) & 417.71/63.35 (![X90,X92]: 417.71/63.35 ((in(X92,X62) & in(X90,X62)) => 417.71/63.35 ((![X94]: 417.71/63.35 (in(X94,X64) => (in(X90,X94) <=> in(X92,X94)))) => 417.71/63.35 (X90 = X92)))) & 417.71/63.35 (![X82,X84]: 417.71/63.35 ((in(X84,X64) & in(X82,X64)) => 417.71/63.35 ((![X88]: (in(X88,X84) => in(X88,X82))) | 417.71/63.35 (![X86]: (in(X86,X82) => in(X86,X84)))))) & 417.71/63.35 (![X66]: 417.71/63.35 (((?[X70]: in(X70,X66)) & 417.71/63.35 (![X68]: (in(X68,X66) => in(X68,X62)))) => 417.71/63.35 (?[X72,X74]: 417.71/63.35 (in(X72,X64) & in(X74,X66) & 417.71/63.35 (~(?[X80]: (in(X80,X72) & in(X80,X66)))) & 417.71/63.35 (![X76]: 417.71/63.35 (in(X76,X64) => 417.71/63.35 (in(X74,X76) | 417.71/63.35 (![X78]: (in(X78,X76) => in(X78,X72))))))))))))) => 417.71/63.35 ((![X100:(($i > $o))]: 417.71/63.35 ((?[X102]: 417.71/63.35 (X100(X102) & (![X104]: (X100(X104) => (X102 = X104))))) => 417.71/63.35 X100(descr(^[V_1]: X100(V_1))))) => 417.71/63.35 ((![X106,X108:(($i > $o)),X110]: 417.71/63.35 (in(X110,X106) => 417.71/63.35 (X108(X110) => in(X110,dsetconstr(X106,^[V_2]: X108(V_2)))))) => 417.71/63.35 ((![X112,X114:(($i > $o)),X116]: 417.71/63.35 (in(X116,dsetconstr(X112,^[V_3]: X114(V_3))) => 417.71/63.35 in(X116,X112))) => 417.71/63.35 ((![X118,X120:(($i > $o)),X122]: 417.71/63.35 (in(X122,dsetconstr(X118,^[V_4]: X120(V_4))) => 417.71/63.35 X120(X122))) => 417.71/63.35 ((![X124:(($i > $o))]: 417.71/63.35 ((?[X126]: 417.71/63.35 (X124(X126) & 417.71/63.35 (![X128]: (X124(X128) => (X126 = X128))))) => 417.71/63.35 (?[X130]: 417.71/63.35 (X124(X130) & 417.71/63.35 (![X132]: (X124(X132) => (X130 = X132))))))) => 417.71/63.35 ((![X134:$o,X136]: (in(X136,prop2set(X134)) => X134)) => 417.71/63.35 ((![X138]: (in(X138,emptyset) => (![X140:$o]: X140))) => 417.71/63.35 ((![X142]: (in(X142,emptyset) => $false)) => 417.71/63.35 ((![X144]: (~in(X144,emptyset))) => 417.71/63.35 ((![X146:(($i > $o))]: 417.71/63.35 ((?[X148]: 417.71/63.35 (X146(X148) & 417.71/63.35 (![X150]: (X146(X150) => (X148 = X150))))) => 417.71/63.35 (?[X152]: X146(X152)))) => 417.71/63.35 ((![X154,X156]: 417.71/63.35 ((![X158]: (in(X158,X154) => in(X158,X156))) => 417.71/63.35 ((![X160]: (in(X160,X156) => in(X160,X154))) => 417.71/63.35 (X154 = X156)))) => 417.71/63.35 ((![X162]: 417.71/63.35 ((![X164]: (~in(X164,X162))) => (X162 = emptyset))) => 417.71/63.35 ((![X166]: 417.71/63.35 ((![X168]: (~in(X168,X166))) => 417.71/63.35 (X166 = emptyset))) => 417.71/63.35 ((![X170,X172:(($i > $o)),X174]: 417.71/63.35 (in(X174,X170) => 417.71/63.35 (in(X174,dsetconstr(X170,^[V_5]: X172(V_5))) <=> 417.71/63.35 X172(X174)))) => 417.71/63.35 ((![X176]: 417.71/63.35 ((X176 != emptyset) => 417.71/63.35 (?[X178]: in(X178,X176)))) => 417.71/63.35 ((![X180,X182:(($i > $o)),X184]: 417.71/63.35 (in(X184,X180) => 417.71/63.35 (X182(X184) => 417.71/63.35 (dsetconstr(X180,^[V_6]: X182(V_6)) != 417.71/63.35 emptyset)))) => 417.71/63.35 ((![X186]: 417.71/63.35 ((?[X188]: in(X188,X186)) => 417.71/63.35 (X186 != emptyset))) => 417.71/63.35 ((![X190,X192]: in(X190,setadjoin(X190,X192))) => 417.71/63.35 (in(emptyset,setadjoin(emptyset,emptyset)) => 417.71/63.35 ((![X194,X196,X198]: 417.71/63.35 (in(X198,X196) => 417.71/63.35 in(X198,setadjoin(X194,X196)))) => 417.71/63.35 ((![X200,X202,X204]: 417.71/63.35 (in(X204,setadjoin(X200,X202)) => 417.71/63.35 (![X206:$o]: 417.71/63.35 (((X204 = X200) => X206) => 417.71/63.35 ((in(X204,X202) => X206) => X206))))) => 417.71/63.35 ((![X208,X210,X212]: 417.71/63.35 (in(X212,setadjoin(X208,X210)) => 417.71/63.35 (in(X212,X210) | (X212 = X208)))) => 417.71/63.35 ((![X214]: 417.71/63.35 (dsetconstr(X214,^[V_7]: $true) = X214)) => 417.71/63.35 ((![X216,X218]: 417.71/63.35 ((![X220]: 417.71/63.35 (in(X220,X218) => in(X220,X216))) => 417.71/63.35 in(X218,powerset(X216)))) => 417.71/63.35 ((![X222]: in(emptyset,powerset(X222))) => 417.71/63.35 ((![X224]: in(emptyset,powerset(X224))) => 417.71/63.35 ((![X226,X228,X230]: 417.71/63.35 (in(X228,powerset(X226)) => 417.71/63.35 (in(X230,X228) => in(X230,X226)))) => 417.71/63.35 ((![X232,X234,X236]: 417.71/63.35 (in(X234,X236) => 417.71/63.35 (in(X236,X232) => 417.71/63.35 in(X234,setunion(X232))))) => 417.71/63.35 ((![X238,X240]: 417.71/63.35 (in(X240,setunion(X238)) => 417.71/63.35 (![X242:$o]: 417.71/63.35 ((![X244]: 417.71/63.35 (in(X240,X244) => 417.71/63.35 (in(X244,X238) => X242))) => 417.71/63.35 X242)))) => 417.71/63.35 ((![X246,X248]: 417.71/63.35 (in(X248,X246) => 417.71/63.35 in(X248, 417.71/63.35 powerset(setunion(X246))))) => 417.71/63.35 ((![X250:(($i > $o))]: 417.71/63.35 ((?[X252]: 417.71/63.35 (X250(X252) & 417.71/63.35 (![X254]: 417.71/63.35 (X250(X254) => 417.71/63.35 (X252 = X254))))) => 417.71/63.35 (?[X256]: 417.71/63.35 (![X258]: 417.71/63.35 (X250(X258) <=> 417.71/63.35 (X258 = X256)))))) => 417.71/63.35 ((![X260]: 417.71/63.35 ((X260 != emptyset) => 417.71/63.35 (?[X262]: in(X262,X260)))) => 417.71/63.35 ((![X264,X266]: 417.71/63.35 (in(X264, 417.71/63.35 setadjoin(X266,emptyset)) => 417.71/63.35 (X264 = X266))) => 417.71/63.35 ((![X268,X270]: 417.71/63.35 ((X268 != X270) => 417.71/63.35 (~ 417.71/63.35 in(X270, 417.71/63.35 setadjoin(X268, 417.71/63.35 emptyset))))) => 417.71/63.35 ((![X272,X274]: 417.71/63.35 ((X272 = X274) => 417.71/63.35 in(X272, 417.71/63.35 setadjoin(X274, 417.71/63.35 emptyset)))) => 417.71/63.35 ((![X276,X278]: 417.71/63.35 (in(X276, 417.71/63.35 setadjoin(X278, 417.71/63.35 emptyset)) => 417.71/63.35 in(X278, 417.71/63.35 setadjoin(X276, 417.71/63.35 emptyset)))) => 417.71/63.35 ((![X280,X282,X284]: 417.71/63.35 (in(X284, 417.71/63.35 setadjoin(X280, 417.71/63.35 setadjoin( 417.71/63.35 X282, 417.71/63.35 emptyset))) => 417.71/63.35 ((X284 = X282) | 417.71/63.35 (X284 = X280)))) => 417.71/63.35 ((![X286,X288]: 417.71/63.35 in(X286, 417.71/63.35 setadjoin(X286, 417.71/63.35 setadjoin( 417.71/63.35 X288, 417.71/63.35 emptyset)))) => 417.71/63.35 ((![X290,X292]: 417.71/63.35 in(X292, 417.71/63.35 setadjoin(X290, 417.71/63.35 setadjoin( 417.71/63.35 X292, 417.71/63.35 emptyset)))) => 417.71/63.35 ((![X294,X296:(($i > $o))]: 417.71/63.35 ((?[X298]: 417.71/63.35 (in(X298,X294) & 417.71/63.35 X296(X298))) => 417.71/63.35 ((dsetconstr( 417.71/63.35 X294, 417.71/63.35 ^[V_8]: X296(V_8)) = 417.71/63.35 emptyset) => 417.71/63.35 $false))) => 417.71/63.35 ((![X300:(($i > $o)), 417.71/63.35 X302]: 417.71/63.35 (in(X302,emptyset) => 417.71/63.35 X300(X302))) => 417.71/63.35 ((![X304, 417.71/63.35 X306:(($i > $o))]: 417.71/63.35 ((~ 417.71/63.35 (![X308]: 417.71/63.35 (in(X308,X304) => 417.71/63.35 X306(X308)))) => 417.71/63.35 (?[X310]: 417.71/63.35 (in(X310,X304) & 417.71/63.35 (~X306(X310)))))) => 417.71/63.35 ((![X312, 417.71/63.35 X314:(($i > $o))]: 417.71/63.35 ((![X316]: 417.71/63.35 (in(X316,X312) => 417.71/63.35 (~X314(X316)))) => 417.71/63.35 (~ 417.71/63.35 (?[X318]: 417.71/63.35 (in( 417.71/63.35 X318,X312) & 417.71/63.35 X314(X318)))))) => 417.71/63.35 ((![X320, 417.71/63.35 X322:(($i > $o))]: 417.71/63.35 ((~ 417.71/63.35 (?[X324]: 417.71/63.35 (in( 417.71/63.35 X324,X320) & 417.71/63.35 X322(X324)))) => 417.71/63.35 (![X326]: 417.71/63.35 (in(X326,X320) => 417.71/63.35 (~X322(X326)))))) => 417.71/63.35 ((![X328, 417.71/63.35 X330:(($i > $o))]: 417.71/63.35 ((?[X332]: 417.71/63.35 (in( 417.71/63.35 X332,X328) & 417.71/63.35 (~ 417.71/63.35 X330( 417.71/63.35 X332)))) => 417.71/63.35 (~ 417.71/63.35 (![X334]: 417.71/63.35 (in( 417.71/63.35 X334,X328) => 417.71/63.35 X330( 417.71/63.35 X334)))))) => 417.71/63.35 ((![X336:$o]: 417.71/63.35 (X336 => 417.71/63.35 in(emptyset, 417.71/63.35 prop2set( 417.71/63.35 X336)))) => 417.71/63.35 ((![X338:$o]: 417.71/63.35 (X338 => 417.71/63.35 set2prop( 417.71/63.35 prop2set( 417.71/63.35 X338)))) => 417.71/63.35 ((![X340, 417.71/63.35 X342:( 417.71/63.35 ($i > $o))]: 417.71/63.35 ((~ 417.71/63.35 (?[X344]: 417.71/63.35 (in( 417.71/63.35 X344,X340) & 417.71/63.35 X342( 417.71/63.35 X344)))) => 417.71/63.35 (![X346]: 417.71/63.35 ( 417.71/63.35 in( 417.71/63.35 X346,X340) => 417.71/63.35 ( 417.71/63.35 ~ 417.71/63.35 X342( 417.71/63.35 X346)))))) => 417.71/63.35 ((![X348, 417.71/63.35 X350:( 417.71/63.35 ($i > $o))]: 417.71/63.35 ((~ 417.71/63.35 ( 417.71/63.35 ![X352]: 417.71/63.35 (in( 417.71/63.35 X352,X348) => 417.71/63.35 X350( 417.71/63.35 X352)))) => 417.71/63.35 (?[X354]: 417.71/63.35 (in( 417.71/63.35 X354,X348) & 417.71/63.35 (~ 417.71/63.35 X350( 417.71/63.35 X354)))))) => 417.71/63.35 ((![X356:( 417.71/63.35 ($i > $o))]: 417.71/63.35 ((?[X358]: 417.71/63.35 (X356( 417.71/63.35 X358) & 417.71/63.35 (![X360]: 417.71/63.35 (X356( 417.71/63.35 X360) => 417.71/63.35 (X358 = 417.71/63.35 X360))))) => 417.71/63.35 (?[X362]: 417.71/63.35 (X356( 417.71/63.35 X362) & 417.71/63.35 (![X364]: 417.71/63.35 (X356( 417.71/63.35 X364) => 417.71/63.35 (X362 = 417.71/63.35 X364))))))) => 417.71/63.35 ((![X366:( 417.71/63.35 ($i > $o))]: 417.71/63.35 (( 417.71/63.35 ?[X368]: 417.71/63.35 X366( 417.71/63.35 X368)) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X370, 417.71/63.35 X372]: 417.71/63.35 (X366( 417.71/63.35 X370) => 417.71/63.35 (X366( 417.71/63.35 X372) => 417.71/63.35 (X370 = 417.71/63.35 X372)))) => 417.71/63.35 ( 417.71/63.35 ?[X374]: 417.71/63.35 (X366( 417.71/63.35 X374) & 417.71/63.35 (![X376]: 417.71/63.35 (X366( 417.71/63.35 X376) => 417.71/63.35 (X374 = 417.71/63.35 X376)))))))) => 417.71/63.35 ((![X378:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ?[X380]: 417.71/63.35 (![X382]: 417.71/63.35 (X378( 417.71/63.35 X382) <=> 417.71/63.35 (X382 = 417.71/63.35 X380)))) => 417.71/63.35 ( 417.71/63.35 ?[X384]: 417.71/63.35 (X378( 417.71/63.35 X384) & 417.71/63.35 (![X386]: 417.71/63.35 (X378( 417.71/63.35 X386) => 417.71/63.35 (X384 = 417.71/63.35 X386))))))) => 417.71/63.35 ((![X388, 417.71/63.35 X390]: 417.71/63.35 (( 417.71/63.35 X388 = 417.71/63.35 X390) => 417.71/63.35 (![X392, 417.71/63.35 X394]: 417.71/63.35 (( 417.71/63.35 X392 = 417.71/63.35 X394) => 417.71/63.35 (in( 417.71/63.35 X392,X388) => 417.71/63.35 in( 417.71/63.35 X394,X390)))))) => 417.71/63.35 ((![X396, 417.71/63.35 X398]: 417.71/63.35 (( 417.71/63.35 X396 = 417.71/63.35 X398) => 417.71/63.35 (![X400, 417.71/63.35 X402]: 417.71/63.35 (( 417.71/63.35 X400 = 417.71/63.35 X402) => 417.71/63.35 (in( 417.71/63.35 X400,X396) <=> 417.71/63.35 in( 417.71/63.35 X402,X398)))))) => 417.71/63.35 (( 417.71/63.35 ![X404:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 (( 417.71/63.35 ?[X406]: 417.71/63.35 (X404( 417.71/63.35 X406) & 417.71/63.35 (![X408]: 417.71/63.35 (X404( 417.71/63.35 X408) => 417.71/63.35 (X406 = 417.71/63.35 X408))))) => 417.71/63.35 (![X410, 417.71/63.35 X412]: 417.71/63.35 (X404( 417.71/63.35 X410) => 417.71/63.35 (X404( 417.71/63.35 X412) => 417.71/63.35 (X410 = 417.71/63.35 X412)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X414:( 417.71/63.35 ( 417.71/63.35 $i > $o)), 417.71/63.35 X416:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 (( 417.71/63.35 ![X418, 417.71/63.35 X420]: 417.71/63.35 (( 417.71/63.35 X418 = 417.71/63.35 X420) => 417.71/63.35 (X414( 417.71/63.35 X418) <=> 417.71/63.35 X416( 417.71/63.35 X420)))) => 417.71/63.35 (( 417.71/63.35 ?[X422]: 417.71/63.35 (X414( 417.71/63.35 X422) & 417.71/63.35 (![X424]: 417.71/63.35 (X414( 417.71/63.35 X424) => 417.71/63.35 (X422 = 417.71/63.35 X424))))) <=> 417.71/63.35 (?[X426]: 417.71/63.35 (X416( 417.71/63.35 X426) & 417.71/63.35 (![X428]: 417.71/63.35 (X416( 417.71/63.35 X428) => 417.71/63.35 (X426 = 417.71/63.35 X428)))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 emptyset = 417.71/63.35 emptyset) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X430, 417.71/63.35 X432]: 417.71/63.35 (( 417.71/63.35 X430 = 417.71/63.35 X432) => 417.71/63.35 (![X434, 417.71/63.35 X436]: 417.71/63.35 (( 417.71/63.35 X434 = 417.71/63.35 X436) => 417.71/63.35 (setadjoin( 417.71/63.35 X430,X434) = 417.71/63.35 setadjoin( 417.71/63.35 X432,X436)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X438, 417.71/63.35 X440]: 417.71/63.35 (( 417.71/63.35 X438 = 417.71/63.35 X440) => 417.71/63.35 (powerset( 417.71/63.35 X438) = 417.71/63.35 powerset( 417.71/63.35 X440)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X442, 417.71/63.35 X444]: 417.71/63.35 (( 417.71/63.35 X442 = 417.71/63.35 X444) => 417.71/63.35 (setunion( 417.71/63.35 X442) = 417.71/63.35 setunion( 417.71/63.35 X444)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 omega = 417.71/63.35 omega) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X446:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 (( 417.71/63.35 ?[X448]: 417.71/63.35 (X446( 417.71/63.35 X448) & 417.71/63.35 (![X450]: 417.71/63.35 (X446( 417.71/63.35 X450) => 417.71/63.35 (X448 = 417.71/63.35 X450))))) => 417.71/63.35 (![X452, 417.71/63.35 X454]: 417.71/63.35 (X446( 417.71/63.35 X452) => 417.71/63.35 (X446( 417.71/63.35 X454) => 417.71/63.35 (X452 = 417.71/63.35 X454)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X456:( 417.71/63.35 ( 417.71/63.35 $i > $o)), 417.71/63.35 X458:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 (( 417.71/63.35 ![X460, 417.71/63.35 X462]: 417.71/63.35 (( 417.71/63.35 X460 = 417.71/63.35 X462) => 417.71/63.35 (X456( 417.71/63.35 X460) <=> 417.71/63.35 X458( 417.71/63.35 X462)))) => 417.71/63.35 (( 417.71/63.35 ?[X464]: 417.71/63.35 (X456( 417.71/63.35 X464) & 417.71/63.35 (![X466]: 417.71/63.35 (X456( 417.71/63.35 X466) => 417.71/63.35 (X464 = 417.71/63.35 X466))))) => 417.71/63.35 (( 417.71/63.35 ?[X468]: 417.71/63.35 (X458( 417.71/63.35 X468) & 417.71/63.35 (![X470]: 417.71/63.35 (X458( 417.71/63.35 X470) => 417.71/63.35 (X468 = 417.71/63.35 X470))))) => 417.71/63.35 (descr( 417.71/63.35 ^[V_9]: 417.71/63.35 X456(V_9)) = 417.71/63.35 descr( 417.71/63.35 ^[V_10]: 417.71/63.35 X458( 417.71/63.35 V_10))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X472, 417.71/63.35 X474]: 417.71/63.35 (( 417.71/63.35 X472 = 417.71/63.35 X474) => 417.71/63.35 (![X476:( 417.71/63.35 ( 417.71/63.35 $i > $o)), 417.71/63.35 X478:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 (( 417.71/63.35 ![X480]: 417.71/63.35 (in( 417.71/63.35 X480,X472) => 417.71/63.35 (![X482]: 417.71/63.35 (in( 417.71/63.35 X482,X474) => 417.71/63.35 (( 417.71/63.35 X480 = 417.71/63.35 X482) => 417.71/63.35 (X476( 417.71/63.35 X480) <=> 417.71/63.35 X478( 417.71/63.35 X482))))))) => 417.71/63.35 (dsetconstr( 417.71/63.35 X472, 417.71/63.35 ^[V_11]: 417.71/63.35 X476( 417.71/63.35 V_11)) = 417.71/63.35 dsetconstr( 417.71/63.35 X474, 417.71/63.35 ^[V_12]: 417.71/63.35 X478( 417.71/63.35 V_12))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X484, 417.71/63.35 X486]: 417.71/63.35 (( 417.71/63.35 ![X488]: 417.71/63.35 (in( 417.71/63.35 X488,X484) => 417.71/63.35 in( 417.71/63.35 X488,X486))) => 417.71/63.35 subset( 417.71/63.35 X484,X486))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X490, 417.71/63.35 X492]: 417.71/63.35 (( 417.71/63.35 X490 = 417.71/63.35 X492) => 417.71/63.35 subset( 417.71/63.35 X492,X490))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X494, 417.71/63.35 X496]: 417.71/63.35 (( 417.71/63.35 X494 = 417.71/63.35 X496) => 417.71/63.35 subset( 417.71/63.35 X494,X496))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X498, 417.71/63.35 X500]: 417.71/63.35 (( 417.71/63.35 ![X502]: 417.71/63.35 (in( 417.71/63.35 X502,X498) => 417.71/63.35 in( 417.71/63.35 X502,X500))) => 417.71/63.35 subset( 417.71/63.35 X498,X500))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X504]: 417.71/63.35 subset( 417.71/63.35 emptyset, 417.71/63.35 X504)) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X506, 417.71/63.35 X508,X510]: 417.71/63.35 (subset( 417.71/63.35 X506,X508) => 417.71/63.35 (in( 417.71/63.35 X510,X506) => 417.71/63.35 in( 417.71/63.35 X510,X508)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X512, 417.71/63.35 X514,X516]: 417.71/63.35 (subset( 417.71/63.35 X512,X514) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X516,X514)) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X516,X512))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X518, 417.71/63.35 X520,X522]: 417.71/63.35 (in( 417.71/63.35 X522,X518) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X522,X520)) => 417.71/63.35 (~ 417.71/63.35 subset( 417.71/63.35 X518,X520))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X524, 417.71/63.35 X526]: 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 subset( 417.71/63.35 X524,X526)) => 417.71/63.35 (X524 != 417.71/63.35 X526))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X528, 417.71/63.35 X530,X532]: 417.71/63.35 (in( 417.71/63.35 X532,X528) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X532,X530)) => 417.71/63.35 (X528 != 417.71/63.35 X530)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X534]: 417.71/63.35 subset( 417.71/63.35 X534,X534)) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X536, 417.71/63.35 X538,X540]: 417.71/63.35 (subset( 417.71/63.35 X536,X538) => 417.71/63.35 (subset( 417.71/63.35 X538,X540) => 417.71/63.35 subset( 417.71/63.35 X536,X540)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X542, 417.71/63.35 X544]: 417.71/63.35 subset( 417.71/63.35 X544, 417.71/63.35 setadjoin( 417.71/63.35 X542,X544))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X546, 417.71/63.35 X548,X550]: 417.71/63.35 (subset( 417.71/63.35 X546,X550) => 417.71/63.35 subset( 417.71/63.35 X546, 417.71/63.35 setadjoin( 417.71/63.35 X548,X550)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X552, 417.71/63.35 X554]: 417.71/63.35 (subset( 417.71/63.35 X552,X554) => 417.71/63.35 in( 417.71/63.35 X552, 417.71/63.35 powerset( 417.71/63.35 X554)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X556, 417.71/63.35 X558]: 417.71/63.35 (subset( 417.71/63.35 X556,X558) => 417.71/63.35 (subset( 417.71/63.35 X558,X556) => 417.71/63.35 (X556 = 417.71/63.35 X558)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X560]: 417.71/63.35 (subset( 417.71/63.35 X560, 417.71/63.35 emptyset) => 417.71/63.35 (X560 = 417.71/63.35 emptyset))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X562, 417.71/63.35 X564]: 417.71/63.35 (subset( 417.71/63.35 X564,X562) => 417.71/63.35 in( 417.71/63.35 X564, 417.71/63.35 powerset( 417.71/63.35 X562)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X566, 417.71/63.35 X568]: 417.71/63.35 (in( 417.71/63.35 X568, 417.71/63.35 powerset( 417.71/63.35 X566)) => 417.71/63.35 subset( 417.71/63.35 X568,X566))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X570]: 417.71/63.35 in( 417.71/63.35 X570, 417.71/63.35 powerset( 417.71/63.35 X570))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X572, 417.71/63.35 X574]: 417.71/63.35 (subset( 417.71/63.35 X572,X574) => 417.71/63.35 subset( 417.71/63.35 powerset( 417.71/63.35 X572), 417.71/63.35 powerset( 417.71/63.35 X574)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X576, 417.71/63.35 X578:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 in( 417.71/63.35 dsetconstr( 417.71/63.35 X576, 417.71/63.35 ^[V_13]: 417.71/63.35 X578( 417.71/63.35 V_13)), 417.71/63.35 powerset( 417.71/63.35 X576))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X580, 417.71/63.35 X582:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 subset( 417.71/63.35 dsetconstr( 417.71/63.35 X580, 417.71/63.35 ^[V_14]: 417.71/63.35 X582( 417.71/63.35 V_14)), 417.71/63.35 X580)) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X584, 417.71/63.35 X586,X588]: 417.71/63.35 (in( 417.71/63.35 X588,X584) => 417.71/63.35 in( 417.71/63.35 X588, 417.71/63.35 binunion( 417.71/63.35 X584,X586)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X590, 417.71/63.35 X592]: 417.71/63.35 in( 417.71/63.35 X592, 417.71/63.35 setadjoin( 417.71/63.35 X590, 417.71/63.35 setadjoin( 417.71/63.35 X592, 417.71/63.35 emptyset)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X594, 417.71/63.35 X596,X598]: 417.71/63.35 (in( 417.71/63.35 X598,X596) => 417.71/63.35 in( 417.71/63.35 X598, 417.71/63.35 binunion( 417.71/63.35 X594,X596)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X600, 417.71/63.35 X602, 417.71/63.35 X604, 417.71/63.35 X606:$o]: 417.71/63.35 (in( 417.71/63.35 X604, 417.71/63.35 binunion( 417.71/63.35 X600,X602)) => 417.71/63.35 (( 417.71/63.35 in( 417.71/63.35 X604,X600) => 417.71/63.35 X606) => 417.71/63.35 (( 417.71/63.35 in( 417.71/63.35 X604,X602) => 417.71/63.35 X606) => 417.71/63.35 X606)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X608, 417.71/63.35 X610,X612]: 417.71/63.35 (in( 417.71/63.35 X612, 417.71/63.35 binunion( 417.71/63.35 X608,X610)) => 417.71/63.35 (in( 417.71/63.35 X612,X610) | 417.71/63.35 in( 417.71/63.35 X612,X608)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X614, 417.71/63.35 X616]: 417.71/63.35 subset( 417.71/63.35 X614, 417.71/63.35 binunion( 417.71/63.35 X614,X616))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X618, 417.71/63.35 X620]: 417.71/63.35 subset( 417.71/63.35 X620, 417.71/63.35 binunion( 417.71/63.35 X618,X620))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X622, 417.71/63.35 X624,X626]: 417.71/63.35 (in( 417.71/63.35 X626,X622) => 417.71/63.35 (in( 417.71/63.35 X626,X624) => 417.71/63.35 in( 417.71/63.35 X626, 417.71/63.35 binintersect( 417.71/63.35 X622,X624))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X628, 417.71/63.35 X630,X632]: 417.71/63.35 (subset( 417.71/63.35 X632,X628) => 417.71/63.35 (subset( 417.71/63.35 X632,X630) => 417.71/63.35 subset( 417.71/63.35 X632, 417.71/63.35 binintersect( 417.71/63.35 X628,X630))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X634, 417.71/63.35 X636,X638]: 417.71/63.35 (in( 417.71/63.35 X638, 417.71/63.35 binintersect( 417.71/63.35 X634,X636)) => 417.71/63.35 in( 417.71/63.35 X638,X634))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X640, 417.71/63.35 X642]: 417.71/63.35 subset( 417.71/63.35 binintersect( 417.71/63.35 X640,X642), 417.71/63.35 X640)) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X644, 417.71/63.35 X646]: 417.71/63.35 (subset( 417.71/63.35 X644,X646) => 417.71/63.35 (binintersect( 417.71/63.35 X644,X646) = 417.71/63.35 X644))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X648, 417.71/63.35 X650]: 417.71/63.35 (( 417.71/63.35 binintersect( 417.71/63.35 X648,X650) = 417.71/63.35 X650) => 417.71/63.35 subset( 417.71/63.35 X650,X648))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X652, 417.71/63.35 X654,X656]: 417.71/63.35 (in( 417.71/63.35 X656, 417.71/63.35 binintersect( 417.71/63.35 X652,X654)) => 417.71/63.35 in( 417.71/63.35 X656,X654))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X658, 417.71/63.35 X660]: 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 ( 417.71/63.35 ?[X662]: 417.71/63.35 (in( 417.71/63.35 X662,X658) & 417.71/63.35 in( 417.71/63.35 X662,X660)))) => 417.71/63.35 (binintersect( 417.71/63.35 X658,X660) = 417.71/63.35 emptyset))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X664, 417.71/63.35 X666]: 417.71/63.35 subset( 417.71/63.35 binintersect( 417.71/63.35 X664,X666), 417.71/63.35 X666)) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X668, 417.71/63.35 X670]: 417.71/63.35 (subset( 417.71/63.35 X670,X668) => 417.71/63.35 (binintersect( 417.71/63.35 X668,X670) = 417.71/63.35 X670))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X672, 417.71/63.35 X674]: 417.71/63.35 (( 417.71/63.35 binintersect( 417.71/63.35 X672,X674) = 417.71/63.35 X672) => 417.71/63.35 subset( 417.71/63.35 X672,X674))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X676, 417.71/63.35 X678,X680]: 417.71/63.35 (binintersect( 417.71/63.35 X676, 417.71/63.35 binunion( 417.71/63.35 X678,X680)) = 417.71/63.35 binunion( 417.71/63.35 binintersect( 417.71/63.35 X676,X678), 417.71/63.35 binintersect( 417.71/63.35 X676,X680)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X682, 417.71/63.35 X684,X686]: 417.71/63.35 (in( 417.71/63.35 X686,X682) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X686,X684)) => 417.71/63.35 in( 417.71/63.35 X686, 417.71/63.35 setminus( 417.71/63.35 X682,X684))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X688, 417.71/63.35 X690,X692]: 417.71/63.35 (in( 417.71/63.35 X692, 417.71/63.35 setminus( 417.71/63.35 X688,X690)) => 417.71/63.35 in( 417.71/63.35 X692,X688))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X694, 417.71/63.35 X696,X698]: 417.71/63.35 (in( 417.71/63.35 X698, 417.71/63.35 setminus( 417.71/63.35 X694,X696)) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X698,X696)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X700, 417.71/63.35 X702]: 417.71/63.35 (subset( 417.71/63.35 X700,X702) => 417.71/63.35 (setminus( 417.71/63.35 X700,X702) = 417.71/63.35 emptyset))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X704, 417.71/63.35 X706,X708]: 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X708, 417.71/63.35 setminus( 417.71/63.35 X704,X706))) => 417.71/63.35 (in( 417.71/63.35 X708,X704) => 417.71/63.35 in( 417.71/63.35 X708,X706)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X710, 417.71/63.35 X712,X714]: 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X714, 417.71/63.35 setminus( 417.71/63.35 X710,X712))) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X714,X712)) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X714,X710))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X716, 417.71/63.35 X718,X720]: 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X720,X716)) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X720, 417.71/63.35 setminus( 417.71/63.35 X716,X718))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X722, 417.71/63.35 X724,X726]: 417.71/63.35 (in( 417.71/63.35 X726,X724) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X726, 417.71/63.35 setminus( 417.71/63.35 X722,X724))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X728, 417.71/63.35 X730]: 417.71/63.35 subset( 417.71/63.35 setminus( 417.71/63.35 X728,X730), 417.71/63.35 X728)) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X732, 417.71/63.35 X734]: 417.71/63.35 (( 417.71/63.35 setminus( 417.71/63.35 X732,X734) = 417.71/63.35 emptyset) => 417.71/63.35 subset( 417.71/63.35 X732,X734))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X736, 417.71/63.35 X738,X740]: 417.71/63.35 (in( 417.71/63.35 X740, 417.71/63.35 symdiff( 417.71/63.35 X736,X738)) => 417.71/63.35 (![X742:$o]: 417.71/63.35 (( 417.71/63.35 in( 417.71/63.35 X740,X736) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X740,X738)) => 417.71/63.35 X742)) => 417.71/63.35 (( 417.71/63.35 ( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X740,X736)) => 417.71/63.35 ( 417.71/63.35 in( 417.71/63.35 X740,X738) => 417.71/63.35 X742)) => 417.71/63.35 X742))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X744, 417.71/63.35 X746,X748]: 417.71/63.35 (in( 417.71/63.35 X748,X744) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X748,X746)) => 417.71/63.35 in( 417.71/63.35 X748, 417.71/63.35 symdiff( 417.71/63.35 X744,X746))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X750, 417.71/63.35 X752,X754]: 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X754,X750)) => 417.71/63.35 (in( 417.71/63.35 X754,X752) => 417.71/63.35 in( 417.71/63.35 X754, 417.71/63.35 symdiff( 417.71/63.35 X750,X752))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X756, 417.71/63.35 X758,X760]: 417.71/63.35 (in( 417.71/63.35 X760,X756) => 417.71/63.35 (in( 417.71/63.35 X760,X758) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X760, 417.71/63.35 symdiff( 417.71/63.35 X756,X758)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X762, 417.71/63.35 X764,X766]: 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X766,X762)) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X766,X764)) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X766, 417.71/63.35 symdiff( 417.71/63.35 X762,X764)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X768, 417.71/63.35 X770]: 417.71/63.35 in( 417.71/63.35 X770, 417.71/63.35 setadjoin( 417.71/63.35 X768, 417.71/63.35 setadjoin( 417.71/63.35 X770, 417.71/63.35 emptyset)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X772, 417.71/63.35 X774]: 417.71/63.35 in( 417.71/63.35 X772, 417.71/63.35 setunion( 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X772, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X772, 417.71/63.35 setadjoin( 417.71/63.35 X774, 417.71/63.35 emptyset)), 417.71/63.35 emptyset))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X776, 417.71/63.35 X778]: 417.71/63.35 in( 417.71/63.35 X778, 417.71/63.35 setunion( 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X776, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X776, 417.71/63.35 setadjoin( 417.71/63.35 X778, 417.71/63.35 emptyset)), 417.71/63.35 emptyset))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X780, 417.71/63.35 X782]: 417.71/63.35 iskpair( 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X780, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X780, 417.71/63.35 setadjoin( 417.71/63.35 X782, 417.71/63.35 emptyset)), 417.71/63.35 emptyset)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X784, 417.71/63.35 X786]: 417.71/63.35 iskpair( 417.71/63.35 kpair( 417.71/63.35 X784,X786))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X788, 417.71/63.35 X790]: 417.71/63.35 (in( 417.71/63.35 X790,X788) => 417.71/63.35 subset( 417.71/63.35 setadjoin( 417.71/63.35 X790, 417.71/63.35 emptyset), 417.71/63.35 X788))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X792, 417.71/63.35 X794]: 417.71/63.35 (in( 417.71/63.35 X794,X792) => 417.71/63.35 in( 417.71/63.35 setadjoin( 417.71/63.35 X794, 417.71/63.35 emptyset), 417.71/63.35 powerset( 417.71/63.35 X792)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X796, 417.71/63.35 X798,X800]: 417.71/63.35 (in( 417.71/63.35 X800,X796) => 417.71/63.35 in( 417.71/63.35 setadjoin( 417.71/63.35 X800, 417.71/63.35 emptyset), 417.71/63.35 powerset( 417.71/63.35 binunion( 417.71/63.35 X796,X798))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X802, 417.71/63.35 X804,X806]: 417.71/63.35 (in( 417.71/63.35 X806, 417.71/63.35 setadjoin( 417.71/63.35 X802, 417.71/63.35 setadjoin( 417.71/63.35 X804, 417.71/63.35 emptyset))) => 417.71/63.35 (( 417.71/63.35 X806 = 417.71/63.35 X804) | 417.71/63.35 (X806 = 417.71/63.35 X802)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X808, 417.71/63.35 X810,X812]: 417.71/63.35 (in( 417.71/63.35 X812,X808) => 417.71/63.35 (![X814]: 417.71/63.35 (in( 417.71/63.35 X814,X810) => 417.71/63.35 subset( 417.71/63.35 setadjoin( 417.71/63.35 X812, 417.71/63.35 setadjoin( 417.71/63.35 X814, 417.71/63.35 emptyset)), 417.71/63.35 binunion( 417.71/63.35 X808,X810)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X816, 417.71/63.35 X818,X820]: 417.71/63.35 (in( 417.71/63.35 X820,X816) => 417.71/63.35 (![X822]: 417.71/63.35 (in( 417.71/63.35 X822,X818) => 417.71/63.35 in( 417.71/63.35 setadjoin( 417.71/63.35 X820, 417.71/63.35 setadjoin( 417.71/63.35 X822, 417.71/63.35 emptyset)), 417.71/63.35 powerset( 417.71/63.35 binunion( 417.71/63.35 X816,X818))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X824, 417.71/63.35 X826,X828]: 417.71/63.35 (in( 417.71/63.35 X828,X824) => 417.71/63.35 (![X830]: 417.71/63.35 (in( 417.71/63.35 X830,X826) => 417.71/63.35 subset( 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X828, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X828, 417.71/63.35 setadjoin( 417.71/63.35 X830, 417.71/63.35 emptyset)), 417.71/63.35 emptyset)), 417.71/63.35 powerset( 417.71/63.35 binunion( 417.71/63.35 X824,X826))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X832, 417.71/63.35 X834,X836]: 417.71/63.35 (in( 417.71/63.35 X836,X832) => 417.71/63.35 (![X838]: 417.71/63.35 (in( 417.71/63.35 X838,X834) => 417.71/63.35 in( 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X836, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X836, 417.71/63.35 setadjoin( 417.71/63.35 X838, 417.71/63.35 emptyset)), 417.71/63.35 emptyset)), 417.71/63.35 powerset( 417.71/63.35 powerset( 417.71/63.35 binunion( 417.71/63.35 X832,X834)))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X840, 417.71/63.35 X842,X844]: 417.71/63.35 (in( 417.71/63.35 X844,X840) => 417.71/63.35 (![X846]: 417.71/63.35 (in( 417.71/63.35 X846,X842) => 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 X844,X846), 417.71/63.35 powerset( 417.71/63.35 powerset( 417.71/63.35 binunion( 417.71/63.35 X840,X842)))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X848, 417.71/63.35 X850,X852]: 417.71/63.35 (in( 417.71/63.35 X852,X848) => 417.71/63.35 (![X854]: 417.71/63.35 (in( 417.71/63.35 X854,X850) => 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 X852,X854), 417.71/63.35 cartprod( 417.71/63.35 X848,X850)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X856, 417.71/63.35 X858,X860]: 417.71/63.35 (in( 417.71/63.35 X860, 417.71/63.35 cartprod( 417.71/63.35 X856,X858)) => 417.71/63.35 (?[X862]: 417.71/63.35 (in( 417.71/63.35 X862,X856) & 417.71/63.35 (?[X864]: 417.71/63.35 (in( 417.71/63.35 X864,X858) & 417.71/63.35 (X860 = 417.71/63.35 kpair( 417.71/63.35 X862,X864)))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X866, 417.71/63.35 X868,X870]: 417.71/63.35 (in( 417.71/63.35 X870, 417.71/63.35 cartprod( 417.71/63.35 X866,X868)) => 417.71/63.35 iskpair( 417.71/63.35 X870))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X872, 417.71/63.35 X874]: 417.71/63.35 (in( 417.71/63.35 X874, 417.71/63.35 setunion( 417.71/63.35 X872)) => 417.71/63.35 (?[X876]: 417.71/63.35 (in( 417.71/63.35 X876,X872) & 417.71/63.35 in( 417.71/63.35 X874,X876))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X878]: 417.71/63.35 subset( 417.71/63.35 setunion( 417.71/63.35 setadjoin( 417.71/63.35 X878, 417.71/63.35 emptyset)), 417.71/63.35 X878)) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X880]: 417.71/63.35 subset( 417.71/63.35 X880, 417.71/63.35 setunion( 417.71/63.35 setadjoin( 417.71/63.35 X880, 417.71/63.35 emptyset)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X882]: 417.71/63.35 (setunion( 417.71/63.35 setadjoin( 417.71/63.35 X882, 417.71/63.35 emptyset)) = 417.71/63.35 X882)) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X884, 417.71/63.35 X886:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 (( 417.71/63.35 ![X888]: 417.71/63.35 (in( 417.71/63.35 X888,X884) => 417.71/63.35 (![X890]: 417.71/63.35 (in( 417.71/63.35 X890,X884) => 417.71/63.35 (X886( 417.71/63.35 X888) => 417.71/63.35 (X886( 417.71/63.35 X890) => 417.71/63.35 (X888 = 417.71/63.35 X890))))))) => 417.71/63.35 (( 417.71/63.35 ?[X892]: 417.71/63.35 (in( 417.71/63.35 X892,X884) & 417.71/63.35 X886( 417.71/63.35 X892))) => 417.71/63.35 singleton( 417.71/63.35 dsetconstr( 417.71/63.35 X884, 417.71/63.35 ^[V_15]: 417.71/63.35 X886( 417.71/63.35 V_15)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X894, 417.71/63.35 X896:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 (ex1( 417.71/63.35 X894, 417.71/63.35 ^[V_16]: 417.71/63.35 X896( 417.71/63.35 V_16)) => 417.71/63.35 (?[X898]: 417.71/63.35 (in( 417.71/63.35 X898,X894) & 417.71/63.35 X896( 417.71/63.35 X898))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X900, 417.71/63.35 X902:( 417.71/63.35 ( 417.71/63.35 $i > $o)), 417.71/63.35 X904]: 417.71/63.35 (in( 417.71/63.35 X904,X900) => 417.71/63.35 (X902( 417.71/63.35 X904) => 417.71/63.35 (( 417.71/63.35 ![X906]: 417.71/63.35 (in( 417.71/63.35 X906,X900) => 417.71/63.35 (X902( 417.71/63.35 X906) => 417.71/63.35 (X906 = 417.71/63.35 X904)))) => 417.71/63.35 ex1( 417.71/63.35 X900, 417.71/63.35 ^[V_17]: 417.71/63.35 X902( 417.71/63.35 V_17)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X908, 417.71/63.35 X910:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 (( 417.71/63.35 ![X912]: 417.71/63.35 (in( 417.71/63.35 X912,X908) => 417.71/63.35 (![X914]: 417.71/63.35 (in( 417.71/63.35 X914,X908) => 417.71/63.35 (X910( 417.71/63.35 X912) => 417.71/63.35 (X910( 417.71/63.35 X914) => 417.71/63.35 (X912 = 417.71/63.35 X914))))))) => 417.71/63.35 (( 417.71/63.35 ?[X916]: 417.71/63.35 (in( 417.71/63.35 X916,X908) & 417.71/63.35 X910( 417.71/63.35 X916))) => 417.71/63.35 ex1( 417.71/63.35 X908, 417.71/63.35 ^[V_18]: 417.71/63.35 X910( 417.71/63.35 V_18))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X918, 417.71/63.35 X920]: 417.71/63.35 (( 417.71/63.35 setadjoin( 417.71/63.35 X918, 417.71/63.35 emptyset) = 417.71/63.35 setadjoin( 417.71/63.35 X920, 417.71/63.35 emptyset)) => 417.71/63.35 (X918 = 417.71/63.35 X920))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X922, 417.71/63.35 X924,X926]: 417.71/63.35 (in( 417.71/63.35 setadjoin( 417.71/63.35 X926, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X922, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X922, 417.71/63.35 setadjoin( 417.71/63.35 X924, 417.71/63.35 emptyset)), 417.71/63.35 emptyset))) => 417.71/63.35 (X922 = 417.71/63.35 X926))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X928]: 417.71/63.35 (iskpair( 417.71/63.35 X928) => 417.71/63.35 singleton( 417.71/63.35 dsetconstr( 417.71/63.35 setunion( 417.71/63.35 X928), 417.71/63.35 ^[V_19]: 417.71/63.35 in( 417.71/63.35 setadjoin( 417.71/63.35 V_19, 417.71/63.35 emptyset), 417.71/63.35 X928))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X930]: 417.71/63.35 (singleton( 417.71/63.35 X930) => 417.71/63.35 in( 417.71/63.35 setunion( 417.71/63.35 X930), 417.71/63.35 X930))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X932, 417.71/63.35 X934]: 417.71/63.35 (kfst( 417.71/63.35 kpair( 417.71/63.35 X932,X934)) = 417.71/63.35 X932)) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X936, 417.71/63.35 X938,X940]: 417.71/63.35 (in( 417.71/63.35 X940, 417.71/63.35 cartprod( 417.71/63.35 X936,X938)) => 417.71/63.35 in( 417.71/63.35 kfst( 417.71/63.35 X940), 417.71/63.35 X936))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X942, 417.71/63.35 X944, 417.71/63.35 X946,X948]: 417.71/63.35 (( 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X942, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X942, 417.71/63.35 setadjoin( 417.71/63.35 X944, 417.71/63.35 emptyset)), 417.71/63.35 emptyset)) = 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X946, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X946, 417.71/63.35 setadjoin( 417.71/63.35 X948, 417.71/63.35 emptyset)), 417.71/63.35 emptyset))) => 417.71/63.35 (X942 = 417.71/63.35 X946))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X950, 417.71/63.35 X952, 417.71/63.35 X954,X956]: 417.71/63.35 (( 417.71/63.35 kpair( 417.71/63.35 X950,X952) = 417.71/63.35 kpair( 417.71/63.35 X954,X956)) => 417.71/63.35 (X950 = 417.71/63.35 X954))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X958, 417.71/63.35 X960]: 417.71/63.35 (( 417.71/63.35 X958 = 417.71/63.35 X960) => 417.71/63.35 (setadjoin( 417.71/63.35 X958, 417.71/63.35 setadjoin( 417.71/63.35 X960, 417.71/63.35 emptyset)) = 417.71/63.35 setadjoin( 417.71/63.35 X958, 417.71/63.35 emptyset)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X962, 417.71/63.35 X964]: 417.71/63.35 (( 417.71/63.35 X962 = 417.71/63.35 X964) => 417.71/63.35 (setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X962, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X962, 417.71/63.35 setadjoin( 417.71/63.35 X964, 417.71/63.35 emptyset)), 417.71/63.35 emptyset)) = 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X962, 417.71/63.35 emptyset), 417.71/63.35 emptyset)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X966, 417.71/63.35 X968, 417.71/63.35 X970,X972]: 417.71/63.35 (( 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X966, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X966, 417.71/63.35 setadjoin( 417.71/63.35 X968, 417.71/63.35 emptyset)), 417.71/63.35 emptyset)) = 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X970, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X970, 417.71/63.35 setadjoin( 417.71/63.35 X972, 417.71/63.35 emptyset)), 417.71/63.35 emptyset))) => 417.71/63.35 (( 417.71/63.35 X970 = 417.71/63.35 X972) => 417.71/63.35 (X968 = 417.71/63.35 X972)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X974, 417.71/63.35 X976,X978]: 417.71/63.35 (( 417.71/63.35 setadjoin( 417.71/63.35 X974, 417.71/63.35 setadjoin( 417.71/63.35 X976, 417.71/63.35 emptyset)) = 417.71/63.35 setadjoin( 417.71/63.35 X978, 417.71/63.35 emptyset)) => 417.71/63.35 (X974 = 417.71/63.35 X976))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X980, 417.71/63.35 X982, 417.71/63.35 X984,X986]: 417.71/63.35 (( 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X980, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X980, 417.71/63.35 setadjoin( 417.71/63.35 X982, 417.71/63.35 emptyset)), 417.71/63.35 emptyset)) = 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X984, 417.71/63.35 emptyset), 417.71/63.35 setadjoin( 417.71/63.35 setadjoin( 417.71/63.35 X984, 417.71/63.35 setadjoin( 417.71/63.35 X986, 417.71/63.35 emptyset)), 417.71/63.35 emptyset))) => 417.71/63.35 (X982 = 417.71/63.35 X986))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X988, 417.71/63.35 X990, 417.71/63.35 X992,X994]: 417.71/63.35 (( 417.71/63.35 kpair( 417.71/63.35 X988,X990) = 417.71/63.35 kpair( 417.71/63.35 X992,X994)) => 417.71/63.35 (X990 = 417.71/63.35 X994))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X996]: 417.71/63.35 (iskpair( 417.71/63.35 X996) => 417.71/63.35 singleton( 417.71/63.35 dsetconstr( 417.71/63.35 setunion( 417.71/63.35 X996), 417.71/63.35 ^[V_20]: 417.71/63.35 (X996 = 417.71/63.35 kpair( 417.71/63.35 kfst( 417.71/63.35 X996), 417.71/63.35 V_20)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X998, 417.71/63.35 X1000]: 417.71/63.35 (ksnd( 417.71/63.35 kpair( 417.71/63.35 X998, 417.71/63.35 X1000)) = 417.71/63.35 X1000)) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1002]: 417.71/63.35 (iskpair( 417.71/63.35 X1002) => 417.71/63.35 (kpair( 417.71/63.35 kfst( 417.71/63.35 X1002), 417.71/63.35 ksnd( 417.71/63.35 X1002)) = 417.71/63.35 X1002))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1004, 417.71/63.35 X1006, 417.71/63.35 X1008]: 417.71/63.35 (in( 417.71/63.35 X1008, 417.71/63.35 cartprod( 417.71/63.35 X1004, 417.71/63.35 X1006)) => 417.71/63.35 in( 417.71/63.35 ksnd( 417.71/63.35 X1008), 417.71/63.35 X1006))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1010, 417.71/63.35 X1012, 417.71/63.35 X1014, 417.71/63.35 X1016]: 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1014, 417.71/63.35 X1016), 417.71/63.35 cartprod( 417.71/63.35 X1010, 417.71/63.35 X1012)) => 417.71/63.35 in( 417.71/63.35 X1014, 417.71/63.35 X1010))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1018, 417.71/63.35 X1020, 417.71/63.35 X1022, 417.71/63.35 X1024]: 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1022, 417.71/63.35 X1024), 417.71/63.35 cartprod( 417.71/63.35 X1018, 417.71/63.35 X1020)) => 417.71/63.35 in( 417.71/63.35 X1024, 417.71/63.35 X1020))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1026, 417.71/63.35 X1028, 417.71/63.35 X1030]: 417.71/63.35 (in( 417.71/63.35 X1030, 417.71/63.35 X1026) => 417.71/63.35 (![X1032]: 417.71/63.35 (in( 417.71/63.35 X1032, 417.71/63.35 X1028) => 417.71/63.35 (kpair( 417.71/63.35 X1030, 417.71/63.35 X1032) = 417.71/63.35 kpair( 417.71/63.35 X1030, 417.71/63.35 X1032)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1034, 417.71/63.35 X1036, 417.71/63.35 X1038]: 417.71/63.35 (in( 417.71/63.35 X1038, 417.71/63.35 X1034) => 417.71/63.35 (![X1040]: 417.71/63.35 (in( 417.71/63.35 X1040, 417.71/63.35 X1036) => 417.71/63.35 (kfst( 417.71/63.35 kpair( 417.71/63.35 X1038, 417.71/63.35 X1040)) = 417.71/63.35 X1038))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1042, 417.71/63.35 X1044, 417.71/63.35 X1046]: 417.71/63.35 (in( 417.71/63.35 X1046, 417.71/63.35 X1042) => 417.71/63.35 (![X1048]: 417.71/63.35 (in( 417.71/63.35 X1048, 417.71/63.35 X1044) => 417.71/63.35 (ksnd( 417.71/63.35 kpair( 417.71/63.35 X1046, 417.71/63.35 X1048)) = 417.71/63.35 X1048))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1050, 417.71/63.35 X1052, 417.71/63.35 X1054]: 417.71/63.35 (in( 417.71/63.35 X1054, 417.71/63.35 cartprod( 417.71/63.35 X1050, 417.71/63.35 X1052)) => 417.71/63.35 (kpair( 417.71/63.35 kfst( 417.71/63.35 X1054), 417.71/63.35 ksnd( 417.71/63.35 X1054)) = 417.71/63.35 X1054))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1056, 417.71/63.35 X1058, 417.71/63.35 X1060:( 417.71/63.35 ($i * $i) > 417.71/63.35 $o),X1062]: 417.71/63.35 (in( 417.71/63.35 X1062, 417.71/63.35 X1056) => 417.71/63.35 (![X1064]: 417.71/63.35 (in( 417.71/63.35 X1064, 417.71/63.35 X1058) => 417.71/63.35 (X1060( 417.71/63.35 X1062, 417.71/63.35 X1064) => 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 X1062, 417.71/63.35 X1064), 417.71/63.35 dpsetconstr( 417.71/63.35 X1056, 417.71/63.35 X1058, 417.71/63.35 ^[V_21, 417.71/63.35 V_22]: 417.71/63.35 X1060( 417.71/63.35 V_21,V_22)))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1066, 417.71/63.35 X1068, 417.71/63.35 X1070:( 417.71/63.35 ($i * $i) > 417.71/63.35 $o)]: 417.71/63.35 subset( 417.71/63.35 dpsetconstr( 417.71/63.35 X1066, 417.71/63.35 X1068, 417.71/63.35 ^[V_23, 417.71/63.35 V_24]: 417.71/63.35 X1070( 417.71/63.35 V_23,V_24)), 417.71/63.35 cartprod( 417.71/63.35 X1066, 417.71/63.35 X1068))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1072, 417.71/63.35 X1074, 417.71/63.35 X1076:( 417.71/63.35 ($i * $i) > 417.71/63.35 $o)]: 417.71/63.35 subset( 417.71/63.35 dpsetconstr( 417.71/63.35 X1072, 417.71/63.35 X1074, 417.71/63.35 ^[V_25, 417.71/63.35 V_26]: 417.71/63.35 X1076( 417.71/63.35 V_25,V_26)), 417.71/63.35 cartprod( 417.71/63.35 X1072, 417.71/63.35 X1074))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1078, 417.71/63.35 X1080, 417.71/63.35 X1082:( 417.71/63.35 ($i * $i) > 417.71/63.35 $o),X1084]: 417.71/63.35 (in( 417.71/63.35 X1084, 417.71/63.35 X1078) => 417.71/63.35 (![X1086]: 417.71/63.35 (in( 417.71/63.35 X1086, 417.71/63.35 X1080) => 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1084, 417.71/63.35 X1086), 417.71/63.35 dpsetconstr( 417.71/63.35 X1078, 417.71/63.35 X1080, 417.71/63.35 ^[V_27, 417.71/63.35 V_28]: 417.71/63.35 X1082( 417.71/63.35 V_27,V_28))) => 417.71/63.35 X1082( 417.71/63.35 X1084, 417.71/63.35 X1086)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1088, 417.71/63.35 X1090, 417.71/63.35 X1092:( 417.71/63.35 ($i * $i) > 417.71/63.35 $o), 417.71/63.35 X1094, 417.71/63.35 X1096]: 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1094, 417.71/63.35 X1096), 417.71/63.35 dpsetconstr( 417.71/63.35 X1088, 417.71/63.35 X1090, 417.71/63.35 ^[V_29, 417.71/63.35 V_30]: 417.71/63.35 X1092( 417.71/63.35 V_29,V_30))) => 417.71/63.35 in( 417.71/63.35 X1094, 417.71/63.35 X1088))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1098, 417.71/63.35 X1100, 417.71/63.35 X1102:( 417.71/63.35 ($i * $i) > 417.71/63.35 $o), 417.71/63.35 X1104, 417.71/63.35 X1106]: 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1104, 417.71/63.35 X1106), 417.71/63.35 dpsetconstr( 417.71/63.35 X1098, 417.71/63.35 X1100, 417.71/63.35 ^[V_31, 417.71/63.35 V_32]: 417.71/63.35 X1102( 417.71/63.35 V_31,V_32))) => 417.71/63.35 in( 417.71/63.35 X1106, 417.71/63.35 X1100))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1108, 417.71/63.35 X1110, 417.71/63.35 X1112:( 417.71/63.35 ($i * $i) > 417.71/63.35 $o), 417.71/63.35 X1114, 417.71/63.35 X1116]: 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1114, 417.71/63.35 X1116), 417.71/63.35 dpsetconstr( 417.71/63.35 X1108, 417.71/63.35 X1110, 417.71/63.35 ^[V_33, 417.71/63.35 V_34]: 417.71/63.35 X1112( 417.71/63.35 V_33,V_34))) => 417.71/63.35 X1112( 417.71/63.35 X1114, 417.71/63.35 X1116))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1118, 417.71/63.35 X1120, 417.71/63.35 X1122]: 417.71/63.35 (func( 417.71/63.35 X1118, 417.71/63.35 X1120, 417.71/63.35 X1122) => 417.71/63.35 (![X1124]: 417.71/63.35 (in( 417.71/63.35 X1124, 417.71/63.35 X1118) => 417.71/63.35 singleton( 417.71/63.35 dsetconstr( 417.71/63.35 X1120, 417.71/63.35 ^[V_35]: 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 X1124, 417.71/63.35 V_35), 417.71/63.35 X1122))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1126, 417.71/63.35 X1128, 417.71/63.35 X1130]: 417.71/63.35 (func( 417.71/63.35 X1126, 417.71/63.35 X1128, 417.71/63.35 X1130) => 417.71/63.35 (![X1132]: 417.71/63.35 (in( 417.71/63.35 X1132, 417.71/63.35 X1126) => 417.71/63.35 in( 417.71/63.35 setunion( 417.71/63.35 dsetconstr( 417.71/63.35 X1128, 417.71/63.35 ^[V_36]: 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 X1132, 417.71/63.35 V_36), 417.71/63.35 X1130))), 417.71/63.35 X1128))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1134, 417.71/63.35 X1136, 417.71/63.35 X1138]: 417.71/63.35 (func( 417.71/63.35 X1134, 417.71/63.35 X1136, 417.71/63.35 X1138) => 417.71/63.35 (![X1140]: 417.71/63.35 (in( 417.71/63.35 X1140, 417.71/63.35 X1134) => 417.71/63.35 in( 417.71/63.35 ap( 417.71/63.35 X1134, 417.71/63.35 X1136, 417.71/63.35 X1138, 417.71/63.35 X1140), 417.71/63.35 X1136))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1142, 417.71/63.35 X1144, 417.71/63.35 X1146]: 417.71/63.35 (in( 417.71/63.35 X1146, 417.71/63.35 funcSet( 417.71/63.35 X1142, 417.71/63.35 X1144)) => 417.71/63.35 func( 417.71/63.35 X1142, 417.71/63.35 X1144, 417.71/63.35 X1146))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1148, 417.71/63.35 X1150, 417.71/63.35 X1152]: 417.71/63.35 (in( 417.71/63.35 X1152, 417.71/63.35 funcSet( 417.71/63.35 X1148, 417.71/63.35 X1150)) => 417.71/63.35 (![X1154]: 417.71/63.35 (in( 417.71/63.35 X1154, 417.71/63.35 X1148) => 417.71/63.35 in( 417.71/63.35 ap( 417.71/63.35 X1148, 417.71/63.35 X1150, 417.71/63.35 X1152, 417.71/63.35 X1154), 417.71/63.35 X1150))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1156, 417.71/63.35 X1158, 417.71/63.35 X1160]: 417.71/63.35 (func( 417.71/63.35 X1156, 417.71/63.35 X1158, 417.71/63.35 X1160) => 417.71/63.35 in( 417.71/63.35 X1160, 417.71/63.35 funcSet( 417.71/63.35 X1156, 417.71/63.35 X1158)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1162, 417.71/63.35 X1164, 417.71/63.35 X1166:( 417.71/63.35 ( 417.71/63.35 $i > $i))]: 417.71/63.35 (( 417.71/63.35 ![X1168]: 417.71/63.35 (in( 417.71/63.35 X1168, 417.71/63.35 X1162) => 417.71/63.35 in( 417.71/63.35 X1166( 417.71/63.35 X1168), 417.71/63.35 X1164))) => 417.71/63.35 func( 417.71/63.35 X1162, 417.71/63.35 X1164, 417.71/63.35 dpsetconstr( 417.71/63.35 X1162, 417.71/63.35 X1164, 417.71/63.35 ^[V_37, 417.71/63.35 V_38]: 417.71/63.35 (X1166( 417.71/63.35 V_37) = 417.71/63.35 V_38))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1170, 417.71/63.35 X1172, 417.71/63.35 X1174:( 417.71/63.35 ( 417.71/63.35 $i > $i))]: 417.71/63.35 (( 417.71/63.35 ![X1176]: 417.71/63.35 (in( 417.71/63.35 X1176, 417.71/63.35 X1170) => 417.71/63.35 in( 417.71/63.35 X1174( 417.71/63.35 X1176), 417.71/63.35 X1172))) => 417.71/63.35 func( 417.71/63.35 X1170, 417.71/63.35 X1172, 417.71/63.35 lam( 417.71/63.35 X1170, 417.71/63.35 X1172, 417.71/63.35 ^[V_39]: 417.71/63.35 X1174( 417.71/63.35 V_39))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1178, 417.71/63.35 X1180, 417.71/63.35 X1182:( 417.71/63.35 ( 417.71/63.35 $i > $i))]: 417.71/63.35 (( 417.71/63.35 ![X1184]: 417.71/63.35 (in( 417.71/63.35 X1184, 417.71/63.35 X1178) => 417.71/63.35 in( 417.71/63.35 X1182( 417.71/63.35 X1184), 417.71/63.35 X1180))) => 417.71/63.35 in( 417.71/63.35 lam( 417.71/63.35 X1178, 417.71/63.35 X1180, 417.71/63.35 ^[V_40]: 417.71/63.35 X1182( 417.71/63.35 V_40)), 417.71/63.35 funcSet( 417.71/63.35 X1178, 417.71/63.35 X1180)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1186, 417.71/63.35 X1188, 417.71/63.35 X1190]: 417.71/63.35 (subset( 417.71/63.35 X1190, 417.71/63.35 cartprod( 417.71/63.35 X1186, 417.71/63.35 X1188)) => 417.71/63.35 (![X1192:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 (( 417.71/63.35 ![X1194]: 417.71/63.35 (in( 417.71/63.35 X1194, 417.71/63.35 X1186) => 417.71/63.35 (![X1196]: 417.71/63.35 (in( 417.71/63.35 X1196, 417.71/63.35 X1188) => 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1194, 417.71/63.35 X1196), 417.71/63.35 X1190) => 417.71/63.35 X1192( 417.71/63.35 kpair( 417.71/63.35 X1194, 417.71/63.35 X1196))))))) => 417.71/63.35 (![X1198]: 417.71/63.35 (in( 417.71/63.35 X1198, 417.71/63.35 X1190) => 417.71/63.35 X1192( 417.71/63.35 X1198))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1200, 417.71/63.35 X1202, 417.71/63.35 X1204]: 417.71/63.35 (subset( 417.71/63.35 X1204, 417.71/63.35 cartprod( 417.71/63.35 X1200, 417.71/63.35 X1202)) => 417.71/63.35 (![X1206:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 (( 417.71/63.35 ![X1208]: 417.71/63.35 (in( 417.71/63.35 X1208, 417.71/63.35 X1200) => 417.71/63.35 (![X1210]: 417.71/63.35 (in( 417.71/63.35 X1210, 417.71/63.35 X1202) => 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1208, 417.71/63.35 X1210), 417.71/63.35 X1204) => 417.71/63.35 X1206( 417.71/63.35 kpair( 417.71/63.35 X1208, 417.71/63.35 X1210))))))) => 417.71/63.35 (![X1212]: 417.71/63.35 (in( 417.71/63.35 X1212, 417.71/63.35 X1204) => 417.71/63.35 X1206( 417.71/63.35 X1212))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1214, 417.71/63.35 X1216:( 417.71/63.35 ( 417.71/63.35 $i > $o))]: 417.71/63.35 (ex1( 417.71/63.35 X1214, 417.71/63.35 ^[V_41]: 417.71/63.35 X1216( 417.71/63.35 V_41)) => 417.71/63.35 (![X1218]: 417.71/63.35 (in( 417.71/63.35 X1218, 417.71/63.35 X1214) => 417.71/63.35 (![X1220]: 417.71/63.35 (in( 417.71/63.35 X1220, 417.71/63.35 X1214) => 417.71/63.35 (X1216( 417.71/63.35 X1218) => 417.71/63.35 (X1216( 417.71/63.35 X1220) => 417.71/63.35 (X1218 = 417.71/63.35 X1220))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1222, 417.71/63.35 X1224, 417.71/63.35 X1226]: 417.71/63.35 (func( 417.71/63.35 X1222, 417.71/63.35 X1224, 417.71/63.35 X1226) => 417.71/63.35 (![X1228]: 417.71/63.35 (in( 417.71/63.35 X1228, 417.71/63.35 X1222) => 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 X1228, 417.71/63.35 ap( 417.71/63.35 X1222, 417.71/63.35 X1224, 417.71/63.35 X1226, 417.71/63.35 X1228)), 417.71/63.35 X1226))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1230, 417.71/63.35 X1232, 417.71/63.35 X1234]: 417.71/63.35 (in( 417.71/63.35 X1234, 417.71/63.35 funcSet( 417.71/63.35 X1230, 417.71/63.35 X1232)) => 417.71/63.35 (![X1236]: 417.71/63.35 (in( 417.71/63.35 X1236, 417.71/63.35 X1230) => 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 X1236, 417.71/63.35 ap( 417.71/63.35 X1230, 417.71/63.35 X1232, 417.71/63.35 X1234, 417.71/63.35 X1236)), 417.71/63.35 X1234))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1238, 417.71/63.35 X1240, 417.71/63.35 X1242]: 417.71/63.35 (func( 417.71/63.35 X1238, 417.71/63.35 X1240, 417.71/63.35 X1242) => 417.71/63.35 (![X1244]: 417.71/63.35 (in( 417.71/63.35 X1244, 417.71/63.35 X1238) => 417.71/63.35 (![X1246]: 417.71/63.35 (in( 417.71/63.35 X1246, 417.71/63.35 X1240) => 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1244, 417.71/63.35 X1246), 417.71/63.35 X1242) => 417.71/63.35 (ap( 417.71/63.35 X1238, 417.71/63.35 X1240, 417.71/63.35 X1242, 417.71/63.35 X1244) = 417.71/63.35 X1246)))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1248, 417.71/63.35 X1250, 417.71/63.35 X1252]: 417.71/63.35 (func( 417.71/63.35 X1248, 417.71/63.35 X1250, 417.71/63.35 X1252) => 417.71/63.35 (![X1254]: 417.71/63.35 (func( 417.71/63.35 X1248, 417.71/63.35 X1250, 417.71/63.35 X1254) => 417.71/63.35 (( 417.71/63.35 ![X1256]: 417.71/63.35 (in( 417.71/63.35 X1256, 417.71/63.35 X1248) => 417.71/63.35 (ap( 417.71/63.35 X1248, 417.71/63.35 X1250, 417.71/63.35 X1252, 417.71/63.35 X1256) = 417.71/63.35 ap( 417.71/63.35 X1248, 417.71/63.35 X1250, 417.71/63.35 X1254, 417.71/63.35 X1256)))) => 417.71/63.35 (![X1258]: 417.71/63.35 (in( 417.71/63.35 X1258, 417.71/63.35 X1248) => 417.71/63.35 (![X1260]: 417.71/63.35 (in( 417.71/63.35 X1260, 417.71/63.35 X1250) => 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1258, 417.71/63.35 X1260), 417.71/63.35 X1254) => 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 X1258, 417.71/63.35 X1260), 417.71/63.35 X1252))))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1262, 417.71/63.35 X1264, 417.71/63.35 X1266]: 417.71/63.35 (in( 417.71/63.35 X1266, 417.71/63.35 funcSet( 417.71/63.35 X1262, 417.71/63.35 X1264)) => 417.71/63.35 (![X1268]: 417.71/63.35 (in( 417.71/63.35 X1268, 417.71/63.35 X1262) => 417.71/63.35 (![X1270]: 417.71/63.35 (in( 417.71/63.35 X1270, 417.71/63.35 X1264) => 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1268, 417.71/63.35 X1270), 417.71/63.35 X1266) => 417.71/63.35 (ap( 417.71/63.35 X1262, 417.71/63.35 X1264, 417.71/63.35 X1266, 417.71/63.35 X1268) = 417.71/63.35 X1270)))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1272, 417.71/63.35 X1274, 417.71/63.35 X1276]: 417.71/63.35 (subset( 417.71/63.35 X1276, 417.71/63.35 cartprod( 417.71/63.35 X1272, 417.71/63.35 X1274)) => 417.71/63.35 (![X1278]: 417.71/63.35 (subset( 417.71/63.35 X1278, 417.71/63.35 cartprod( 417.71/63.35 X1272, 417.71/63.35 X1274)) => 417.71/63.35 (( 417.71/63.35 ![X1280]: 417.71/63.35 (in( 417.71/63.35 X1280, 417.71/63.35 X1272) => 417.71/63.35 (![X1282]: 417.71/63.35 (in( 417.71/63.35 X1282, 417.71/63.35 X1274) => 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1280, 417.71/63.35 X1282), 417.71/63.35 X1276) => 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 X1280, 417.71/63.35 X1282), 417.71/63.35 X1278)))))) => 417.71/63.35 subset( 417.71/63.35 X1276, 417.71/63.35 X1278)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1284, 417.71/63.35 X1286, 417.71/63.35 X1288]: 417.71/63.35 (subset( 417.71/63.35 X1288, 417.71/63.35 cartprod( 417.71/63.35 X1284, 417.71/63.35 X1286)) => 417.71/63.35 (![X1290]: 417.71/63.35 (subset( 417.71/63.35 X1290, 417.71/63.35 cartprod( 417.71/63.35 X1284, 417.71/63.35 X1286)) => 417.71/63.35 (( 417.71/63.35 ![X1292]: 417.71/63.35 (in( 417.71/63.35 X1292, 417.71/63.35 X1284) => 417.71/63.35 (![X1294]: 417.71/63.35 (in( 417.71/63.35 X1294, 417.71/63.35 X1286) => 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1292, 417.71/63.35 X1294), 417.71/63.35 X1288) => 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 X1292, 417.71/63.35 X1294), 417.71/63.35 X1290)))))) => 417.71/63.35 (( 417.71/63.35 ![X1296]: 417.71/63.35 (in( 417.71/63.35 X1296, 417.71/63.35 X1284) => 417.71/63.35 (![X1298]: 417.71/63.35 (in( 417.71/63.35 X1298, 417.71/63.35 X1286) => 417.71/63.35 (in( 417.71/63.35 kpair( 417.71/63.35 X1296, 417.71/63.35 X1298), 417.71/63.35 X1290) => 417.71/63.35 in( 417.71/63.35 kpair( 417.71/63.35 X1296, 417.71/63.35 X1298), 417.71/63.35 X1288)))))) => 417.71/63.35 (X1288 = 417.71/63.35 X1290))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1300, 417.71/63.35 X1302, 417.71/63.35 X1304]: 417.71/63.35 (func( 417.71/63.35 X1300, 417.71/63.35 X1302, 417.71/63.35 X1304) => 417.71/63.35 (![X1306]: 417.71/63.35 (func( 417.71/63.35 X1300, 417.71/63.35 X1302, 417.71/63.35 X1306) => 417.71/63.35 (( 417.71/63.35 ![X1308]: 417.71/63.35 (in( 417.71/63.35 X1308, 417.71/63.35 X1300) => 417.71/63.35 (ap( 417.71/63.35 X1300, 417.71/63.35 X1302, 417.71/63.35 X1304, 417.71/63.35 X1308) = 417.71/63.35 ap( 417.71/63.35 X1300, 417.71/63.35 X1302, 417.71/63.35 X1306, 417.71/63.35 X1308)))) => 417.71/63.35 (X1304 = 417.71/63.35 X1306)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1310, 417.71/63.35 X1312, 417.71/63.35 X1314]: 417.71/63.35 (in( 417.71/63.35 X1314, 417.71/63.35 funcSet( 417.71/63.35 X1310, 417.71/63.35 X1312)) => 417.71/63.35 (![X1316]: 417.71/63.35 (in( 417.71/63.35 X1316, 417.71/63.35 funcSet( 417.71/63.35 X1310, 417.71/63.35 X1312)) => 417.71/63.35 (( 417.71/63.35 ![X1318]: 417.71/63.35 (in( 417.71/63.35 X1318, 417.71/63.35 X1310) => 417.71/63.35 (ap( 417.71/63.35 X1310, 417.71/63.35 X1312, 417.71/63.35 X1314, 417.71/63.35 X1318) = 417.71/63.35 ap( 417.71/63.35 X1310, 417.71/63.35 X1312, 417.71/63.35 X1316, 417.71/63.35 X1318)))) => 417.71/63.35 (X1314 = 417.71/63.35 X1316)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1320, 417.71/63.35 X1322, 417.71/63.35 X1324]: 417.71/63.35 (in( 417.71/63.35 X1324, 417.71/63.35 funcSet( 417.71/63.35 X1320, 417.71/63.35 X1322)) => 417.71/63.35 (![X1326]: 417.71/63.35 (in( 417.71/63.35 X1326, 417.71/63.35 X1320) => 417.71/63.35 (ap( 417.71/63.35 X1320, 417.71/63.35 X1322, 417.71/63.35 X1324, 417.71/63.35 X1326) = 417.71/63.35 ap( 417.71/63.35 X1320, 417.71/63.35 X1322, 417.71/63.35 X1324, 417.71/63.35 X1326)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1328, 417.71/63.35 X1330, 417.71/63.35 X1332]: 417.71/63.35 (func( 417.71/63.35 X1328, 417.71/63.35 X1330, 417.71/63.35 X1332) => 417.71/63.35 (![X1334]: 417.71/63.35 (in( 417.71/63.35 X1334, 417.71/63.35 X1328) => 417.71/63.35 (ap( 417.71/63.35 X1328, 417.71/63.35 X1330, 417.71/63.35 X1332, 417.71/63.35 X1334) = 417.71/63.35 ap( 417.71/63.35 X1328, 417.71/63.35 X1330, 417.71/63.35 X1332, 417.71/63.35 X1334)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1336, 417.71/63.35 X1338, 417.71/63.35 X1340:( 417.71/63.35 ( 417.71/63.35 $i > $i))]: 417.71/63.35 (( 417.71/63.35 ![X1342]: 417.71/63.35 (in( 417.71/63.35 X1342, 417.71/63.35 X1336) => 417.71/63.35 in( 417.71/63.35 X1340( 417.71/63.35 X1342), 417.71/63.35 X1338))) => 417.71/63.35 (![X1344]: 417.71/63.35 (in( 417.71/63.35 X1344, 417.71/63.35 X1336) => 417.71/63.35 (ap( 417.71/63.35 X1336, 417.71/63.35 X1338, 417.71/63.35 lam( 417.71/63.35 X1336, 417.71/63.35 X1338, 417.71/63.35 ^[V_42]: 417.71/63.35 X1340( 417.71/63.35 V_42)), 417.71/63.35 X1344) = 417.71/63.35 X1340( 417.71/63.35 X1344)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1346, 417.71/63.35 X1348, 417.71/63.35 X1350]: 417.71/63.35 (func( 417.71/63.35 X1346, 417.71/63.35 X1348, 417.71/63.35 X1350) => 417.71/63.35 (lam( 417.71/63.35 X1346, 417.71/63.35 X1348, 417.71/63.35 ^[V_43]: 417.71/63.35 ap( 417.71/63.35 X1346, 417.71/63.35 X1348, 417.71/63.35 X1350, 417.71/63.35 V_43)) = 417.71/63.35 X1350))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1352, 417.71/63.35 X1354, 417.71/63.35 X1356:( 417.71/63.35 ( 417.71/63.35 $i > $i))]: 417.71/63.35 (( 417.71/63.35 ![X1358]: 417.71/63.35 (in( 417.71/63.35 X1358, 417.71/63.35 X1352) => 417.71/63.35 in( 417.71/63.35 X1356( 417.71/63.35 X1358), 417.71/63.35 X1354))) => 417.71/63.35 (lam( 417.71/63.35 X1352, 417.71/63.35 X1354, 417.71/63.35 ^[V_44]: 417.71/63.35 X1356( 417.71/63.35 V_44)) = 417.71/63.35 lam( 417.71/63.35 X1352, 417.71/63.35 X1354, 417.71/63.35 ^[V_45]: 417.71/63.35 X1356( 417.71/63.35 V_45))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1360, 417.71/63.35 X1362, 417.71/63.35 X1364:( 417.71/63.35 ( 417.71/63.35 $i > $i))]: 417.71/63.35 (( 417.71/63.35 ![X1366]: 417.71/63.35 (in( 417.71/63.35 X1366, 417.71/63.35 X1360) => 417.71/63.35 in( 417.71/63.35 X1364( 417.71/63.35 X1366), 417.71/63.35 X1362))) => 417.71/63.35 (![X1368]: 417.71/63.35 (in( 417.71/63.35 X1368, 417.71/63.35 X1360) => 417.71/63.35 (ap( 417.71/63.35 X1360, 417.71/63.35 X1362, 417.71/63.35 lam( 417.71/63.35 X1360, 417.71/63.35 X1362, 417.71/63.35 ^[V_46]: 417.71/63.35 X1364( 417.71/63.35 V_46)), 417.71/63.35 X1368) = 417.71/63.35 X1364( 417.71/63.35 X1368)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1370, 417.71/63.35 X1372, 417.71/63.35 X1374]: 417.71/63.35 (in( 417.71/63.35 X1374, 417.71/63.35 funcSet( 417.71/63.35 X1370, 417.71/63.35 X1372)) => 417.71/63.35 (lam( 417.71/63.35 X1370, 417.71/63.35 X1372, 417.71/63.35 ^[V_47]: 417.71/63.35 ap( 417.71/63.35 X1370, 417.71/63.35 X1372, 417.71/63.35 X1374, 417.71/63.35 V_47)) = 417.71/63.35 X1374))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1376, 417.71/63.35 X1378:$o, 417.71/63.35 X1380]: 417.71/63.35 (in( 417.71/63.35 X1380, 417.71/63.35 X1376) => 417.71/63.35 (![X1382]: 417.71/63.35 (in( 417.71/63.35 X1382, 417.71/63.35 X1376) => 417.71/63.35 (( 417.71/63.35 ~X1378) => 417.71/63.35 in( 417.71/63.35 X1382, 417.71/63.35 dsetconstr( 417.71/63.35 X1376, 417.71/63.35 ^[V_48]: 417.71/63.35 (( 417.71/63.35 ( 417.71/63.35 V_48 = 417.71/63.35 X1382) & 417.71/63.35 ( 417.71/63.35 ~X1378)) | 417.71/63.35 (( 417.71/63.35 V_48 = 417.71/63.35 X1380) & 417.71/63.35 X1378))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1384, 417.71/63.35 X1386:$o, 417.71/63.35 X1388]: 417.71/63.35 (in( 417.71/63.35 X1388, 417.71/63.35 X1384) => 417.71/63.35 (![X1390]: 417.71/63.35 (in( 417.71/63.35 X1390, 417.71/63.35 X1384) => 417.71/63.35 (( 417.71/63.35 ~X1386) => 417.71/63.35 (dsetconstr( 417.71/63.35 X1384, 417.71/63.35 ^[V_49]: 417.71/63.35 (( 417.71/63.35 ( 417.71/63.35 V_49 = 417.71/63.35 X1390) & 417.71/63.35 ( 417.71/63.35 ~X1386)) | 417.71/63.35 (( 417.71/63.35 V_49 = 417.71/63.35 X1388) & 417.71/63.35 X1386))) = 417.71/63.35 setadjoin( 417.71/63.35 X1390, 417.71/63.35 emptyset))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1392, 417.71/63.35 X1394:$o, 417.71/63.35 X1396]: 417.71/63.35 (in( 417.71/63.35 X1396, 417.71/63.35 X1392) => 417.71/63.35 (![X1398]: 417.71/63.35 (in( 417.71/63.35 X1398, 417.71/63.35 X1392) => 417.71/63.35 (X1394 => 417.71/63.35 in( 417.71/63.35 X1396, 417.71/63.35 dsetconstr( 417.71/63.35 X1392, 417.71/63.35 ^[V_50]: 417.71/63.35 (( 417.71/63.35 ( 417.71/63.35 V_50 = 417.71/63.35 X1398) & 417.71/63.35 ( 417.71/63.35 ~X1394)) | 417.71/63.35 (( 417.71/63.35 V_50 = 417.71/63.35 X1396) & 417.71/63.35 X1394))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1400, 417.71/63.35 X1402:$o, 417.71/63.35 X1404]: 417.71/63.35 (in( 417.71/63.35 X1404, 417.71/63.35 X1400) => 417.71/63.35 (![X1406]: 417.71/63.35 (in( 417.71/63.35 X1406, 417.71/63.35 X1400) => 417.71/63.35 (X1402 => 417.71/63.35 (dsetconstr( 417.71/63.35 X1400, 417.71/63.35 ^[V_51]: 417.71/63.35 (( 417.71/63.35 ( 417.71/63.35 V_51 = 417.71/63.35 X1406) & 417.71/63.35 ( 417.71/63.35 ~X1402)) | 417.71/63.35 (( 417.71/63.35 V_51 = 417.71/63.35 X1404) & 417.71/63.35 X1402))) = 417.71/63.35 setadjoin( 417.71/63.35 X1404, 417.71/63.35 emptyset))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1408, 417.71/63.35 X1410:$o, 417.71/63.35 X1412]: 417.71/63.35 (in( 417.71/63.35 X1412, 417.71/63.35 X1408) => 417.71/63.35 (![X1414]: 417.71/63.35 (in( 417.71/63.35 X1414, 417.71/63.35 X1408) => 417.71/63.35 singleton( 417.71/63.35 dsetconstr( 417.71/63.35 X1408, 417.71/63.35 ^[V_52]: 417.71/63.35 (( 417.71/63.35 ( 417.71/63.35 V_52 = 417.71/63.35 X1414) & 417.71/63.35 ( 417.71/63.35 ~X1410)) | 417.71/63.35 (( 417.71/63.35 V_52 = 417.71/63.35 X1412) & 417.71/63.35 X1410)))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1416, 417.71/63.35 X1418:$o, 417.71/63.35 X1420]: 417.71/63.35 (in( 417.71/63.35 X1420, 417.71/63.35 X1416) => 417.71/63.35 (![X1422]: 417.71/63.35 (in( 417.71/63.35 X1422, 417.71/63.35 X1416) => 417.71/63.35 in( 417.71/63.35 if( 417.71/63.35 X1416, 417.71/63.35 X1418, 417.71/63.35 X1420, 417.71/63.35 X1422), 417.71/63.35 X1416))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1424]: 417.71/63.35 (singleton( 417.71/63.35 X1424) => 417.71/63.35 (![X1426]: 417.71/63.35 (in( 417.71/63.35 X1426, 417.71/63.35 X1424) => 417.71/63.35 (setunion( 417.71/63.35 X1424) = 417.71/63.35 X1426))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1428, 417.71/63.35 X1430:$o, 417.71/63.35 X1432]: 417.71/63.35 (in( 417.71/63.35 X1432, 417.71/63.35 X1428) => 417.71/63.35 (![X1434]: 417.71/63.35 (in( 417.71/63.35 X1434, 417.71/63.35 X1428) => 417.71/63.35 (X1430 => 417.71/63.35 (if( 417.71/63.35 X1428, 417.71/63.35 X1430, 417.71/63.35 X1432, 417.71/63.35 X1434) = 417.71/63.35 X1432)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1436, 417.71/63.35 X1438:$o, 417.71/63.35 X1440]: 417.71/63.35 (in( 417.71/63.35 X1440, 417.71/63.35 X1436) => 417.71/63.35 (![X1442]: 417.71/63.35 (in( 417.71/63.35 X1442, 417.71/63.35 X1436) => 417.71/63.35 (( 417.71/63.35 ~X1438) => 417.71/63.35 (if( 417.71/63.35 X1436, 417.71/63.35 X1438, 417.71/63.35 X1440, 417.71/63.35 X1442) = 417.71/63.35 X1442)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1444, 417.71/63.35 X1446:$o, 417.71/63.35 X1448]: 417.71/63.35 (in( 417.71/63.35 X1448, 417.71/63.35 X1444) => 417.71/63.35 (![X1450]: 417.71/63.35 (in( 417.71/63.35 X1450, 417.71/63.35 X1444) => 417.71/63.35 in( 417.71/63.35 if( 417.71/63.35 X1444, 417.71/63.35 X1446, 417.71/63.35 X1448, 417.71/63.35 X1450), 417.71/63.35 setadjoin( 417.71/63.35 X1448, 417.71/63.35 setadjoin( 417.71/63.35 X1450, 417.71/63.35 emptyset))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1452, 417.71/63.35 X1454]: 417.71/63.35 (in( 417.71/63.35 X1454, 417.71/63.35 powerset( 417.71/63.35 X1452)) => 417.71/63.35 (![X1456]: 417.71/63.35 (in( 417.71/63.35 X1456, 417.71/63.35 powerset( 417.71/63.35 X1452)) => 417.71/63.35 in( 417.71/63.35 binintersect( 417.71/63.35 X1454, 417.71/63.35 X1456), 417.71/63.35 powerset( 417.71/63.35 X1452)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1458, 417.71/63.35 X1460]: 417.71/63.35 (in( 417.71/63.35 X1460, 417.71/63.35 powerset( 417.71/63.35 X1458)) => 417.71/63.35 (![X1462]: 417.71/63.35 (in( 417.71/63.35 X1462, 417.71/63.35 powerset( 417.71/63.35 X1458)) => 417.71/63.35 in( 417.71/63.35 binunion( 417.71/63.35 X1460, 417.71/63.35 X1462), 417.71/63.35 powerset( 417.71/63.35 X1458)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1464, 417.71/63.35 X1466]: 417.71/63.35 (in( 417.71/63.35 X1466, 417.71/63.35 powerset( 417.71/63.35 X1464)) => 417.71/63.35 in( 417.71/63.35 powerset( 417.71/63.35 X1466), 417.71/63.35 powerset( 417.71/63.35 powerset( 417.71/63.35 X1464))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1468, 417.71/63.35 X1470]: 417.71/63.35 (in( 417.71/63.35 X1470, 417.71/63.35 powerset( 417.71/63.35 X1468)) => 417.71/63.35 (![X1472]: 417.71/63.35 (in( 417.71/63.35 X1472, 417.71/63.35 powerset( 417.71/63.35 X1468)) => 417.71/63.35 in( 417.71/63.35 setminus( 417.71/63.35 X1470, 417.71/63.35 X1472), 417.71/63.35 powerset( 417.71/63.35 X1468)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1474, 417.71/63.35 X1476]: 417.71/63.35 (in( 417.71/63.35 X1476, 417.71/63.35 powerset( 417.71/63.35 X1474)) => 417.71/63.35 in( 417.71/63.35 setminus( 417.71/63.35 X1474, 417.71/63.35 X1476), 417.71/63.35 powerset( 417.71/63.35 X1474)))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1478, 417.71/63.35 X1480]: 417.71/63.35 (in( 417.71/63.35 X1480, 417.71/63.35 powerset( 417.71/63.35 X1478)) => 417.71/63.35 (![X1482]: 417.71/63.35 (in( 417.71/63.35 X1482, 417.71/63.35 powerset( 417.71/63.35 X1478)) => 417.71/63.35 (( 417.71/63.35 ![X1484]: 417.71/63.35 (in( 417.71/63.35 X1484, 417.71/63.35 X1478) => 417.71/63.35 (in( 417.71/63.35 X1484, 417.71/63.35 X1480) => 417.71/63.35 in( 417.71/63.35 X1484, 417.71/63.35 X1482)))) => 417.71/63.35 (( 417.71/63.35 ![X1486]: 417.71/63.35 (in( 417.71/63.35 X1486, 417.71/63.35 X1478) => 417.71/63.35 (in( 417.71/63.35 X1486, 417.71/63.35 X1482) => 417.71/63.35 in( 417.71/63.35 X1486, 417.71/63.35 X1480)))) => 417.71/63.35 (X1480 = 417.71/63.35 X1482))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1488, 417.71/63.35 X1490]: 417.71/63.35 (in( 417.71/63.35 X1490, 417.71/63.35 powerset( 417.71/63.35 X1488)) => 417.71/63.35 (![X1492]: 417.71/63.35 (in( 417.71/63.35 X1492, 417.71/63.35 powerset( 417.71/63.35 X1488)) => 417.71/63.35 (( 417.71/63.35 ![X1494]: 417.71/63.35 (in( 417.71/63.35 X1494, 417.71/63.35 X1488) => 417.71/63.35 (in( 417.71/63.35 X1494, 417.71/63.35 X1490) => 417.71/63.35 in( 417.71/63.35 X1494, 417.71/63.35 X1492)))) => 417.71/63.35 subset( 417.71/63.35 X1490, 417.71/63.35 X1492)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1496, 417.71/63.35 X1498]: 417.71/63.35 (in( 417.71/63.35 X1498, 417.71/63.35 powerset( 417.71/63.35 X1496)) => 417.71/63.35 (![X1500]: 417.71/63.35 (in( 417.71/63.35 X1500, 417.71/63.35 powerset( 417.71/63.35 X1496)) => 417.71/63.35 (( 417.71/63.35 ![X1502]: 417.71/63.35 (in( 417.71/63.35 X1502, 417.71/63.35 X1496) => 417.71/63.35 (in( 417.71/63.35 X1502, 417.71/63.35 X1498) => 417.71/63.35 in( 417.71/63.35 X1502, 417.71/63.35 X1500)))) => 417.71/63.35 in( 417.71/63.35 X1498, 417.71/63.35 powerset( 417.71/63.35 X1500))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1504, 417.71/63.35 X1506]: 417.71/63.35 (in( 417.71/63.35 X1506, 417.71/63.35 powerset( 417.71/63.35 X1504)) => 417.71/63.35 (![X1508]: 417.71/63.35 (in( 417.71/63.35 X1508, 417.71/63.35 powerset( 417.71/63.35 X1504)) => 417.71/63.35 (![X1510]: 417.71/63.35 (in( 417.71/63.35 X1510, 417.71/63.35 X1504) => 417.71/63.35 (in( 417.71/63.35 X1506, 417.71/63.35 powerset( 417.71/63.35 X1508)) => 417.71/63.35 (in( 417.71/63.35 X1510, 417.71/63.35 X1506) => 417.71/63.35 in( 417.71/63.35 X1510, 417.71/63.35 X1508))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1512, 417.71/63.35 X1514]: 417.71/63.35 (in( 417.71/63.35 X1514, 417.71/63.35 powerset( 417.71/63.35 X1512)) => 417.71/63.35 (![X1516]: 417.71/63.35 (in( 417.71/63.35 X1516, 417.71/63.35 X1512) => 417.71/63.35 (in( 417.71/63.35 X1516, 417.71/63.35 X1514) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X1516, 417.71/63.35 setminus( 417.71/63.35 X1512, 417.71/63.35 X1514)))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1518, 417.71/63.35 X1520]: 417.71/63.35 (in( 417.71/63.35 X1520, 417.71/63.35 powerset( 417.71/63.35 X1518)) => 417.71/63.35 (![X1522]: 417.71/63.35 (in( 417.71/63.35 X1522, 417.71/63.35 X1518) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X1522, 417.71/63.35 setminus( 417.71/63.35 X1518, 417.71/63.35 X1520))) => 417.71/63.35 in( 417.71/63.35 X1522, 417.71/63.35 X1520)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1524, 417.71/63.35 X1526]: 417.71/63.35 (in( 417.71/63.35 X1526, 417.71/63.35 powerset( 417.71/63.35 X1524)) => 417.71/63.35 (![X1528]: 417.71/63.35 (in( 417.71/63.35 X1528, 417.71/63.35 powerset( 417.71/63.35 X1524)) => 417.71/63.35 (![X1530]: 417.71/63.35 (in( 417.71/63.35 X1530, 417.71/63.35 X1524) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X1530, 417.71/63.35 X1526)) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X1530, 417.71/63.35 binintersect( 417.71/63.35 X1526, 417.71/63.35 X1528)))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1532, 417.71/63.35 X1534]: 417.71/63.35 (in( 417.71/63.35 X1534, 417.71/63.35 powerset( 417.71/63.35 X1532)) => 417.71/63.35 (![X1536]: 417.71/63.35 (in( 417.71/63.35 X1536, 417.71/63.35 powerset( 417.71/63.35 X1532)) => 417.71/63.35 (![X1538]: 417.71/63.35 (in( 417.71/63.35 X1538, 417.71/63.35 X1532) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X1538, 417.71/63.35 X1536)) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X1538, 417.71/63.35 binintersect( 417.71/63.35 X1534, 417.71/63.35 X1536)))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1540, 417.71/63.35 X1542]: 417.71/63.35 (in( 417.71/63.35 X1542, 417.71/63.35 powerset( 417.71/63.35 X1540)) => 417.71/63.35 (![X1544]: 417.71/63.35 (in( 417.71/63.35 X1544, 417.71/63.35 powerset( 417.71/63.35 X1540)) => 417.71/63.35 (![X1546]: 417.71/63.35 (in( 417.71/63.35 X1546, 417.71/63.35 X1540) => 417.71/63.35 (subset( 417.71/63.35 X1542, 417.71/63.35 setminus( 417.71/63.35 X1540, 417.71/63.35 X1544)) => 417.71/63.35 (in( 417.71/63.35 X1546, 417.71/63.35 X1544) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X1546, 417.71/63.35 X1542)))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1548, 417.71/63.35 X1550]: 417.71/63.35 (in( 417.71/63.35 X1550, 417.71/63.35 powerset( 417.71/63.35 X1548)) => 417.71/63.35 (![X1552]: 417.71/63.35 (in( 417.71/63.35 X1552, 417.71/63.35 powerset( 417.71/63.35 X1548)) => 417.71/63.35 (![X1554]: 417.71/63.35 (in( 417.71/63.35 X1554, 417.71/63.35 X1548) => 417.71/63.35 (subset( 417.71/63.35 X1550, 417.71/63.35 X1552) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X1554, 417.71/63.35 X1552)) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X1554, 417.71/63.35 X1550)))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1556, 417.71/63.35 X1558]: 417.71/63.35 (in( 417.71/63.35 X1558, 417.71/63.35 powerset( 417.71/63.35 X1556)) => 417.71/63.35 (![X1560]: 417.71/63.35 (in( 417.71/63.35 X1560, 417.71/63.35 powerset( 417.71/63.35 X1556)) => 417.71/63.35 (subset( 417.71/63.35 X1558, 417.71/63.35 X1560) => 417.71/63.35 subset( 417.71/63.35 setminus( 417.71/63.35 X1556, 417.71/63.35 X1560), 417.71/63.35 setminus( 417.71/63.35 X1556, 417.71/63.35 X1558))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1562, 417.71/63.35 X1564]: 417.71/63.35 (in( 417.71/63.35 X1564, 417.71/63.35 powerset( 417.71/63.35 X1562)) => 417.71/63.35 (![X1566]: 417.71/63.35 (in( 417.71/63.35 X1566, 417.71/63.35 powerset( 417.71/63.35 X1562)) => 417.71/63.35 (subset( 417.71/63.35 setminus( 417.71/63.35 X1562, 417.71/63.35 X1566), 417.71/63.35 setminus( 417.71/63.35 X1562, 417.71/63.35 X1564)) => 417.71/63.35 subset( 417.71/63.35 X1564, 417.71/63.35 X1566)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1568, 417.71/63.35 X1570]: 417.71/63.35 (in( 417.71/63.35 X1570, 417.71/63.35 powerset( 417.71/63.35 X1568)) => 417.71/63.35 (![X1572]: 417.71/63.35 (in( 417.71/63.35 X1572, 417.71/63.35 X1568) => 417.71/63.35 (in( 417.71/63.35 X1572, 417.71/63.35 X1570) => 417.71/63.35 in( 417.71/63.35 X1572, 417.71/63.35 setminus( 417.71/63.35 X1568, 417.71/63.35 setminus( 417.71/63.35 X1568, 417.71/63.35 X1570)))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1574, 417.71/63.35 X1576]: 417.71/63.35 (in( 417.71/63.35 X1576, 417.71/63.35 powerset( 417.71/63.35 X1574)) => 417.71/63.35 (![X1578]: 417.71/63.35 (in( 417.71/63.35 X1578, 417.71/63.35 X1574) => 417.71/63.35 (in( 417.71/63.35 X1578, 417.71/63.35 setminus( 417.71/63.35 X1574, 417.71/63.35 setminus( 417.71/63.35 X1574, 417.71/63.35 X1576))) => 417.71/63.35 in( 417.71/63.35 X1578, 417.71/63.35 X1576)))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1580, 417.71/63.35 X1582]: 417.71/63.35 (in( 417.71/63.35 X1582, 417.71/63.35 powerset( 417.71/63.35 X1580)) => 417.71/63.35 subset( 417.71/63.35 X1582, 417.71/63.35 setminus( 417.71/63.35 X1580, 417.71/63.35 setminus( 417.71/63.35 X1580, 417.71/63.35 X1582))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1584, 417.71/63.35 X1586]: 417.71/63.35 (in( 417.71/63.35 X1586, 417.71/63.35 powerset( 417.71/63.35 X1584)) => 417.71/63.35 subset( 417.71/63.35 setminus( 417.71/63.35 X1584, 417.71/63.35 setminus( 417.71/63.35 X1584, 417.71/63.35 X1586)), 417.71/63.35 X1586))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1588, 417.71/63.35 X1590]: 417.71/63.35 (in( 417.71/63.35 X1590, 417.71/63.35 powerset( 417.71/63.35 X1588)) => 417.71/63.35 (X1590 = 417.71/63.35 setminus( 417.71/63.35 X1588, 417.71/63.35 setminus( 417.71/63.35 X1588, 417.71/63.35 X1590))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1592, 417.71/63.35 X1594]: 417.71/63.35 (in( 417.71/63.35 X1594, 417.71/63.35 powerset( 417.71/63.35 X1592)) => 417.71/63.35 (![X1596]: 417.71/63.35 (in( 417.71/63.35 X1596, 417.71/63.35 powerset( 417.71/63.35 X1592)) => 417.71/63.35 (![X1598]: 417.71/63.35 (in( 417.71/63.35 X1598, 417.71/63.35 X1592) => 417.71/63.35 (in( 417.71/63.35 X1598, 417.71/63.35 setminus( 417.71/63.35 X1592, 417.71/63.35 X1594)) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X1598, 417.71/63.35 binintersect( 417.71/63.35 X1594, 417.71/63.35 X1596)))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1600, 417.71/63.35 X1602]: 417.71/63.35 (in( 417.71/63.35 X1602, 417.71/63.35 powerset( 417.71/63.35 X1600)) => 417.71/63.35 (![X1604]: 417.71/63.35 (in( 417.71/63.35 X1604, 417.71/63.35 powerset( 417.71/63.35 X1600)) => 417.71/63.35 (![X1606]: 417.71/63.35 (in( 417.71/63.35 X1606, 417.71/63.35 X1600) => 417.71/63.35 (in( 417.71/63.35 X1606, 417.71/63.35 setminus( 417.71/63.35 X1600, 417.71/63.35 X1602)) => 417.71/63.35 in( 417.71/63.35 X1606, 417.71/63.35 setminus( 417.71/63.35 X1600, 417.71/63.35 binintersect( 417.71/63.35 X1602, 417.71/63.35 X1604)))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1608, 417.71/63.35 X1610]: 417.71/63.35 (in( 417.71/63.35 X1610, 417.71/63.35 powerset( 417.71/63.35 X1608)) => 417.71/63.35 (![X1612]: 417.71/63.35 (in( 417.71/63.35 X1612, 417.71/63.35 powerset( 417.71/63.35 X1608)) => 417.71/63.35 subset( 417.71/63.35 setminus( 417.71/63.35 X1608, 417.71/63.35 X1610), 417.71/63.35 setminus( 417.71/63.35 X1608, 417.71/63.35 binintersect( 417.71/63.35 X1610, 417.71/63.35 X1612))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1614, 417.71/63.35 X1616]: 417.71/63.35 (in( 417.71/63.35 X1616, 417.71/63.35 powerset( 417.71/63.35 X1614)) => 417.71/63.35 (![X1618]: 417.71/63.35 (in( 417.71/63.35 X1618, 417.71/63.35 powerset( 417.71/63.35 X1614)) => 417.71/63.35 in( 417.71/63.35 setminus( 417.71/63.35 X1614, 417.71/63.35 X1616), 417.71/63.35 powerset( 417.71/63.35 setminus( 417.71/63.35 X1614, 417.71/63.35 binintersect( 417.71/63.35 X1616, 417.71/63.35 X1618)))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1620, 417.71/63.35 X1622]: 417.71/63.35 (in( 417.71/63.35 X1622, 417.71/63.35 powerset( 417.71/63.35 X1620)) => 417.71/63.35 (![X1624]: 417.71/63.35 (in( 417.71/63.35 X1624, 417.71/63.35 powerset( 417.71/63.35 X1620)) => 417.71/63.35 (subset( 417.71/63.35 X1622, 417.71/63.35 setminus( 417.71/63.35 X1620, 417.71/63.35 X1624)) => 417.71/63.35 (![X1626]: 417.71/63.35 (in( 417.71/63.35 X1626, 417.71/63.35 X1620) => 417.71/63.35 (in( 417.71/63.35 X1626, 417.71/63.35 X1624) => 417.71/63.35 in( 417.71/63.35 X1626, 417.71/63.35 setminus( 417.71/63.35 X1620, 417.71/63.35 X1622)))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1628, 417.71/63.35 X1630]: 417.71/63.35 (in( 417.71/63.35 X1630, 417.71/63.35 powerset( 417.71/63.35 X1628)) => 417.71/63.35 (![X1632]: 417.71/63.35 (in( 417.71/63.35 X1632, 417.71/63.35 powerset( 417.71/63.35 X1628)) => 417.71/63.35 (subset( 417.71/63.35 X1630, 417.71/63.35 setminus( 417.71/63.35 X1628, 417.71/63.35 X1632)) => 417.71/63.35 subset( 417.71/63.35 X1632, 417.71/63.35 setminus( 417.71/63.35 X1628, 417.71/63.35 X1630))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1634, 417.71/63.35 X1636]: 417.71/63.35 (in( 417.71/63.35 X1636, 417.71/63.35 powerset( 417.71/63.35 X1634)) => 417.71/63.35 (![X1638]: 417.71/63.35 (in( 417.71/63.35 X1638, 417.71/63.35 powerset( 417.71/63.35 X1634)) => 417.71/63.35 (![X1640]: 417.71/63.35 (in( 417.71/63.35 X1640, 417.71/63.35 X1634) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X1640, 417.71/63.35 binunion( 417.71/63.35 X1636, 417.71/63.35 X1638))) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X1640, 417.71/63.35 X1636))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1642, 417.71/63.35 X1644]: 417.71/63.35 (in( 417.71/63.35 X1644, 417.71/63.35 powerset( 417.71/63.35 X1642)) => 417.71/63.35 (![X1646]: 417.71/63.35 (in( 417.71/63.35 X1646, 417.71/63.35 powerset( 417.71/63.35 X1642)) => 417.71/63.35 (![X1648]: 417.71/63.35 (in( 417.71/63.35 X1648, 417.71/63.35 X1642) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X1648, 417.71/63.35 binunion( 417.71/63.35 X1644, 417.71/63.35 X1646))) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X1648, 417.71/63.35 X1646))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1650, 417.71/63.35 X1652]: 417.71/63.35 (in( 417.71/63.35 X1652, 417.71/63.35 powerset( 417.71/63.35 X1650)) => 417.71/63.35 (![X1654]: 417.71/63.35 (in( 417.71/63.35 X1654, 417.71/63.35 powerset( 417.71/63.35 X1650)) => 417.71/63.35 (![X1656]: 417.71/63.35 (in( 417.71/63.35 X1656, 417.71/63.35 powerset( 417.71/63.35 X1650)) => 417.71/63.35 (![X1658]: 417.71/63.35 (in( 417.71/63.35 X1658, 417.71/63.35 X1650) => 417.71/63.35 (in( 417.71/63.35 X1658, 417.71/63.35 binintersect( 417.71/63.35 X1652, 417.71/63.35 X1654)) => 417.71/63.35 in( 417.71/63.35 X1658, 417.71/63.35 binunion( 417.71/63.35 X1652, 417.71/63.35 X1656))))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1660, 417.71/63.35 X1662]: 417.71/63.35 (in( 417.71/63.35 X1662, 417.71/63.35 powerset( 417.71/63.35 X1660)) => 417.71/63.35 (![X1664]: 417.71/63.35 (in( 417.71/63.35 X1664, 417.71/63.35 powerset( 417.71/63.35 X1660)) => 417.71/63.35 (![X1666]: 417.71/63.35 (in( 417.71/63.35 X1666, 417.71/63.35 powerset( 417.71/63.35 X1660)) => 417.71/63.35 (![X1668]: 417.71/63.35 (in( 417.71/63.35 X1668, 417.71/63.35 X1660) => 417.71/63.35 (in( 417.71/63.35 X1668, 417.71/63.35 binintersect( 417.71/63.35 X1662, 417.71/63.35 X1664)) => 417.71/63.35 in( 417.71/63.35 X1668, 417.71/63.35 binunion( 417.71/63.35 X1664, 417.71/63.35 X1666))))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1670, 417.71/63.35 X1672]: 417.71/63.35 (in( 417.71/63.35 X1672, 417.71/63.35 powerset( 417.71/63.35 X1670)) => 417.71/63.35 (![X1674]: 417.71/63.35 (in( 417.71/63.35 X1674, 417.71/63.35 powerset( 417.71/63.35 X1670)) => 417.71/63.35 (![X1676]: 417.71/63.35 (in( 417.71/63.35 X1676, 417.71/63.35 powerset( 417.71/63.35 X1670)) => 417.71/63.35 (![X1678]: 417.71/63.35 (in( 417.71/63.35 X1678, 417.71/63.35 X1670) => 417.71/63.35 (in( 417.71/63.35 X1678, 417.71/63.35 binintersect( 417.71/63.35 X1672, 417.71/63.35 X1674)) => 417.71/63.35 in( 417.71/63.35 X1678, 417.71/63.35 binintersect( 417.71/63.35 binunion( 417.71/63.35 X1672, 417.71/63.35 X1676), 417.71/63.35 binunion( 417.71/63.35 X1674, 417.71/63.35 X1676)))))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1680, 417.71/63.35 X1682]: 417.71/63.35 (in( 417.71/63.35 X1682, 417.71/63.35 powerset( 417.71/63.35 X1680)) => 417.71/63.35 (![X1684]: 417.71/63.35 (in( 417.71/63.35 X1684, 417.71/63.35 powerset( 417.71/63.35 X1680)) => 417.71/63.35 (![X1686]: 417.71/63.35 (in( 417.71/63.35 X1686, 417.71/63.35 powerset( 417.71/63.35 X1680)) => 417.71/63.35 in( 417.71/63.35 binintersect( 417.71/63.35 X1682, 417.71/63.35 X1684), 417.71/63.35 powerset( 417.71/63.35 binintersect( 417.71/63.35 binunion( 417.71/63.35 X1682, 417.71/63.35 X1686), 417.71/63.35 binunion( 417.71/63.35 X1684, 417.71/63.35 X1686)))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1688, 417.71/63.35 X1690]: 417.71/63.35 (in( 417.71/63.35 X1690, 417.71/63.35 powerset( 417.71/63.35 X1688)) => 417.71/63.35 (![X1692]: 417.71/63.35 (in( 417.71/63.35 X1692, 417.71/63.35 powerset( 417.71/63.35 X1688)) => 417.71/63.35 (![X1694]: 417.71/63.35 (in( 417.71/63.35 X1694, 417.71/63.35 X1688) => 417.71/63.35 (in( 417.71/63.35 X1694, 417.71/63.35 setminus( 417.71/63.35 X1688, 417.71/63.35 binunion( 417.71/63.35 X1690, 417.71/63.35 X1692))) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X1694, 417.71/63.35 X1690))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1696, 417.71/63.35 X1698]: 417.71/63.35 (in( 417.71/63.35 X1698, 417.71/63.35 powerset( 417.71/63.35 X1696)) => 417.71/63.35 (![X1700]: 417.71/63.35 (in( 417.71/63.35 X1700, 417.71/63.35 powerset( 417.71/63.35 X1696)) => 417.71/63.35 (![X1702]: 417.71/63.35 (in( 417.71/63.35 X1702, 417.71/63.35 X1696) => 417.71/63.35 (in( 417.71/63.35 X1702, 417.71/63.35 setminus( 417.71/63.35 X1696, 417.71/63.35 binunion( 417.71/63.35 X1698, 417.71/63.35 X1700))) => 417.71/63.35 in( 417.71/63.35 X1702, 417.71/63.35 setminus( 417.71/63.35 X1696, 417.71/63.35 X1698))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1704, 417.71/63.35 X1706]: 417.71/63.35 (in( 417.71/63.35 X1706, 417.71/63.35 powerset( 417.71/63.35 X1704)) => 417.71/63.35 (![X1708]: 417.71/63.35 (in( 417.71/63.35 X1708, 417.71/63.35 powerset( 417.71/63.35 X1704)) => 417.71/63.35 (![X1710:$o, 417.71/63.35 X1712]: 417.71/63.35 (in( 417.71/63.35 X1712, 417.71/63.35 X1704) => 417.71/63.35 (in( 417.71/63.35 X1712, 417.71/63.35 binunion( 417.71/63.35 X1706, 417.71/63.35 X1708)) => 417.71/63.35 (( 417.71/63.35 in( 417.71/63.35 X1712, 417.71/63.35 X1706) => 417.71/63.35 X1710) => 417.71/63.35 (( 417.71/63.35 in( 417.71/63.35 X1712, 417.71/63.35 X1708) => 417.71/63.35 X1710) => 417.71/63.35 X1710))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1714, 417.71/63.35 X1716]: 417.71/63.35 (in( 417.71/63.35 X1716, 417.71/63.35 powerset( 417.71/63.35 X1714)) => 417.71/63.35 (![X1718]: 417.71/63.35 (in( 417.71/63.35 X1718, 417.71/63.35 powerset( 417.71/63.35 X1714)) => 417.71/63.35 (![X1720]: 417.71/63.35 (in( 417.71/63.35 X1720, 417.71/63.35 X1714) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X1720, 417.71/63.35 X1716)) => 417.71/63.35 (( 417.71/63.35 ~ 417.71/63.35 in( 417.71/63.35 X1720, 417.71/63.35 X1718)) => 417.71/63.35 (~ 417.71/63.35 in( 417.71/63.35 X1720, 417.71/63.35 binunion( 417.71/63.35 X1716, 417.71/63.35 X1718))))))))))) => 417.71/63.35 ( 417.71/63.35 ( 417.71/63.35 ![X1722, 417.71/63.35 X1724]: 417.71/63.35 (in( 417.71/63.35 X1724, 417.71/63.35 powerset( 417.71/63.35 X1722)) => 417.71/63.35 (![X1726]: 417.71/63.35 (in( 417.71/63.35 X1726, 417.71/63.35 powerset( 417.71/63.35 X1722)) => 417.71/63.35 (![X1728]: 417.71/63.35 (in( 417.71/63.35 X1728, 417.71/63.35 X1722) => 417.71/63.35 (in( 417.71/63.35 X1728, 417.71/63.35 setminus( 417.71/63.35 X1722, 417.71/63.36 binunion( 417.71/63.36 X1724, 417.71/63.36 X1726))) => 417.71/63.36 in( 417.71/63.36 X1728, 417.71/63.36 setminus( 417.71/63.36 X1722, 417.71/63.36 X1724))))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1730, 417.71/63.36 X1732]: 417.71/63.36 (in( 417.71/63.36 X1732, 417.71/63.36 powerset( 417.71/63.36 X1730)) => 417.71/63.36 (![X1734]: 417.71/63.36 (in( 417.71/63.36 X1734, 417.71/63.36 powerset( 417.71/63.36 X1730)) => 417.71/63.36 in( 417.71/63.36 setminus( 417.71/63.36 X1730, 417.71/63.36 binunion( 417.71/63.36 X1732, 417.71/63.36 X1734)), 417.71/63.36 powerset( 417.71/63.36 setminus( 417.71/63.36 X1730, 417.71/63.36 X1732))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1736, 417.71/63.36 X1738]: 417.71/63.36 (in( 417.71/63.36 X1738, 417.71/63.36 powerset( 417.71/63.36 X1736)) => 417.71/63.36 (![X1740]: 417.71/63.36 (in( 417.71/63.36 X1740, 417.71/63.36 powerset( 417.71/63.36 X1736)) => 417.71/63.36 (![X1742]: 417.71/63.36 (in( 417.71/63.36 X1742, 417.71/63.36 X1736) => 417.71/63.36 (in( 417.71/63.36 X1742, 417.71/63.36 setminus( 417.71/63.36 X1736, 417.71/63.36 binunion( 417.71/63.36 X1738, 417.71/63.36 X1740))) => 417.71/63.36 in( 417.71/63.36 X1742, 417.71/63.36 setminus( 417.71/63.36 X1736, 417.71/63.36 X1740))))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1744, 417.71/63.36 X1746]: 417.71/63.36 (in( 417.71/63.36 X1746, 417.71/63.36 powerset( 417.71/63.36 X1744)) => 417.71/63.36 (![X1748]: 417.71/63.36 (in( 417.71/63.36 X1748, 417.71/63.36 powerset( 417.71/63.36 X1744)) => 417.71/63.36 (![X1750]: 417.71/63.36 (in( 417.71/63.36 X1750, 417.71/63.36 X1744) => 417.71/63.36 (in( 417.71/63.36 X1750, 417.71/63.36 setminus( 417.71/63.36 X1744, 417.71/63.36 binintersect( 417.71/63.36 X1746, 417.71/63.36 X1748))) => 417.71/63.36 in( 417.71/63.36 X1750, 417.71/63.36 binunion( 417.71/63.36 setminus( 417.71/63.36 X1744, 417.71/63.36 X1746), 417.71/63.36 setminus( 417.71/63.36 X1744, 417.71/63.36 X1748)))))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1752, 417.71/63.36 X1754]: 417.71/63.36 (in( 417.71/63.36 X1754, 417.71/63.36 powerset( 417.71/63.36 X1752)) => 417.71/63.36 (![X1756]: 417.71/63.36 (in( 417.71/63.36 X1756, 417.71/63.36 powerset( 417.71/63.36 X1752)) => 417.71/63.36 (![X1758]: 417.71/63.36 (in( 417.71/63.36 X1758, 417.71/63.36 X1752) => 417.71/63.36 (in( 417.71/63.36 X1758, 417.71/63.36 binunion( 417.71/63.36 setminus( 417.71/63.36 X1752, 417.71/63.36 X1754), 417.71/63.36 setminus( 417.71/63.36 X1752, 417.71/63.36 X1756))) => 417.71/63.36 in( 417.71/63.36 X1758, 417.71/63.36 setminus( 417.71/63.36 X1752, 417.71/63.36 binintersect( 417.71/63.36 X1754, 417.71/63.36 X1756)))))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1760, 417.71/63.36 X1762]: 417.71/63.36 (in( 417.71/63.36 X1762, 417.71/63.36 powerset( 417.71/63.36 X1760)) => 417.71/63.36 (![X1764]: 417.71/63.36 (in( 417.71/63.36 X1764, 417.71/63.36 powerset( 417.71/63.36 X1760)) => 417.71/63.36 (setminus( 417.71/63.36 X1760, 417.71/63.36 binintersect( 417.71/63.36 X1762, 417.71/63.36 X1764)) = 417.71/63.36 binunion( 417.71/63.36 setminus( 417.71/63.36 X1760, 417.71/63.36 X1762), 417.71/63.36 setminus( 417.71/63.36 X1760, 417.71/63.36 X1764))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1766, 417.71/63.36 X1768]: 417.71/63.36 (in( 417.71/63.36 X1768, 417.71/63.36 powerset( 417.71/63.36 X1766)) => 417.71/63.36 (![X1770]: 417.71/63.36 (in( 417.71/63.36 X1770, 417.71/63.36 powerset( 417.71/63.36 X1766)) => 417.71/63.36 (![X1772]: 417.71/63.36 (in( 417.71/63.36 X1772, 417.71/63.36 X1766) => 417.71/63.36 (in( 417.71/63.36 X1772, 417.71/63.36 setminus( 417.71/63.36 X1766, 417.71/63.36 binunion( 417.71/63.36 X1768, 417.71/63.36 X1770))) => 417.71/63.36 in( 417.71/63.36 X1772, 417.71/63.36 binintersect( 417.71/63.36 setminus( 417.71/63.36 X1766, 417.71/63.36 X1768), 417.71/63.36 setminus( 417.71/63.36 X1766, 417.71/63.36 X1770)))))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1774, 417.71/63.36 X1776]: 417.71/63.36 (in( 417.71/63.36 X1776, 417.71/63.36 powerset( 417.71/63.36 X1774)) => 417.71/63.36 (![X1778]: 417.71/63.36 (in( 417.71/63.36 X1778, 417.71/63.36 powerset( 417.71/63.36 X1774)) => 417.71/63.36 (![X1780]: 417.71/63.36 (in( 417.71/63.36 X1780, 417.71/63.36 X1774) => 417.71/63.36 (in( 417.71/63.36 X1780, 417.71/63.36 setminus( 417.71/63.36 X1774, 417.71/63.36 X1776)) => 417.71/63.36 (in( 417.71/63.36 X1780, 417.71/63.36 setminus( 417.71/63.36 X1774, 417.71/63.36 X1778)) => 417.71/63.36 in( 417.71/63.36 X1780, 417.71/63.36 setminus( 417.71/63.36 X1774, 417.71/63.36 binunion( 417.71/63.36 X1776, 417.71/63.36 X1778))))))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1782, 417.71/63.36 X1784]: 417.71/63.36 (in( 417.71/63.36 X1784, 417.71/63.36 powerset( 417.71/63.36 X1782)) => 417.71/63.36 (![X1786]: 417.71/63.36 (in( 417.71/63.36 X1786, 417.71/63.36 powerset( 417.71/63.36 X1782)) => 417.71/63.36 (![X1788]: 417.71/63.36 (in( 417.71/63.36 X1788, 417.71/63.36 X1782) => 417.71/63.36 (in( 417.71/63.36 X1788, 417.71/63.36 binintersect( 417.71/63.36 setminus( 417.71/63.36 X1782, 417.71/63.36 X1784), 417.71/63.36 setminus( 417.71/63.36 X1782, 417.71/63.36 X1786))) => 417.71/63.36 in( 417.71/63.36 X1788, 417.71/63.36 setminus( 417.71/63.36 X1782, 417.71/63.36 binunion( 417.71/63.36 X1784, 417.71/63.36 X1786)))))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1790, 417.71/63.36 X1792]: 417.71/63.36 (in( 417.71/63.36 X1792, 417.71/63.36 powerset( 417.71/63.36 X1790)) => 417.71/63.36 (![X1794]: 417.71/63.36 (in( 417.71/63.36 X1794, 417.71/63.36 powerset( 417.71/63.36 X1790)) => 417.71/63.36 (setminus( 417.71/63.36 X1790, 417.71/63.36 binunion( 417.71/63.36 X1792, 417.71/63.36 X1794)) = 417.71/63.36 binintersect( 417.71/63.36 setminus( 417.71/63.36 X1790, 417.71/63.36 X1792), 417.71/63.36 setminus( 417.71/63.36 X1790, 417.71/63.36 X1794))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1796, 417.71/63.36 X1798]: 417.71/63.36 (in( 417.71/63.36 X1798, 417.71/63.36 powerset( 417.71/63.36 X1796)) => 417.71/63.36 (![X1800]: 417.71/63.36 (in( 417.71/63.36 X1800, 417.71/63.36 powerset( 417.71/63.36 X1796)) => 417.71/63.36 (![X1802]: 417.71/63.36 (in( 417.71/63.36 X1802, 417.71/63.36 binintersect( 417.71/63.36 X1798, 417.71/63.36 X1800)) => 417.71/63.36 in( 417.71/63.36 X1802, 417.71/63.36 X1796))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1804, 417.71/63.36 X1806]: 417.71/63.36 (in( 417.71/63.36 X1806, 417.71/63.36 powerset( 417.71/63.36 X1804)) => 417.71/63.36 (![X1808]: 417.71/63.36 (in( 417.71/63.36 X1808, 417.71/63.36 powerset( 417.71/63.36 X1804)) => 417.71/63.36 (![X1810]: 417.71/63.36 (in( 417.71/63.36 X1810, 417.71/63.36 powerset( 417.71/63.36 X1804)) => 417.71/63.36 (subset( 417.71/63.36 X1806, 417.71/63.36 X1810) => 417.71/63.36 subset( 417.71/63.36 binintersect( 417.71/63.36 X1806, 417.71/63.36 X1808), 417.71/63.36 X1810)))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1812, 417.71/63.36 X1814]: 417.71/63.36 (in( 417.71/63.36 X1814, 417.71/63.36 powerset( 417.71/63.36 X1812)) => 417.71/63.36 (![X1816]: 417.71/63.36 (in( 417.71/63.36 X1816, 417.71/63.36 powerset( 417.71/63.36 X1812)) => 417.71/63.36 (![X1818]: 417.71/63.36 (in( 417.71/63.36 X1818, 417.71/63.36 powerset( 417.71/63.36 X1812)) => 417.71/63.36 (subset( 417.71/63.36 X1816, 417.71/63.36 X1818) => 417.71/63.36 subset( 417.71/63.36 binintersect( 417.71/63.36 X1814, 417.71/63.36 X1816), 417.71/63.36 X1818)))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1820, 417.71/63.36 X1822]: 417.71/63.36 (in( 417.71/63.36 X1822, 417.71/63.36 powerset( 417.71/63.36 X1820)) => 417.71/63.36 (![X1824]: 417.71/63.36 (in( 417.71/63.36 X1824, 417.71/63.36 powerset( 417.71/63.36 X1820)) => 417.71/63.36 (![X1826]: 417.71/63.36 (in( 417.71/63.36 X1826, 417.71/63.36 powerset( 417.71/63.36 X1820)) => 417.71/63.36 (subset( 417.71/63.36 X1822, 417.71/63.36 X1824) => 417.71/63.36 (subset( 417.71/63.36 X1822, 417.71/63.36 X1826) => 417.71/63.36 subset( 417.71/63.36 X1822, 417.71/63.36 binintersect( 417.71/63.36 X1824, 417.71/63.36 X1826)))))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1828, 417.71/63.36 X1830]: 417.71/63.36 (in( 417.71/63.36 X1830, 417.71/63.36 powerset( 417.71/63.36 X1828)) => 417.71/63.36 (![X1832]: 417.71/63.36 (in( 417.71/63.36 X1832, 417.71/63.36 powerset( 417.71/63.36 X1828)) => 417.71/63.36 (![X1834]: 417.71/63.36 (in( 417.71/63.36 X1834, 417.71/63.36 powerset( 417.71/63.36 X1828)) => 417.71/63.36 (![X1836]: 417.71/63.36 (in( 417.71/63.36 X1836, 417.71/63.36 powerset( 417.71/63.36 X1828)) => 417.71/63.36 (subset( 417.71/63.36 X1830, 417.71/63.36 X1834) => 417.71/63.36 (subset( 417.71/63.36 X1832, 417.71/63.36 X1836) => 417.71/63.36 subset( 417.71/63.36 binintersect( 417.71/63.36 X1830, 417.71/63.36 X1832), 417.71/63.36 binintersect( 417.71/63.36 X1834, 417.71/63.36 X1836)))))))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1838, 417.71/63.36 X1840]: 417.71/63.36 (in( 417.71/63.36 X1840, 417.71/63.36 powerset( 417.71/63.36 X1838)) => 417.71/63.36 (![X1842]: 417.71/63.36 (in( 417.71/63.36 X1842, 417.71/63.36 powerset( 417.71/63.36 X1838)) => 417.71/63.36 in( 417.71/63.36 setminus( 417.71/63.36 X1838, 417.71/63.36 X1840), 417.71/63.36 powerset( 417.71/63.36 setminus( 417.71/63.36 X1838, 417.71/63.36 binintersect( 417.71/63.36 X1840, 417.71/63.36 X1842)))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1844, 417.71/63.36 X1846]: 417.71/63.36 (in( 417.71/63.36 X1846, 417.71/63.36 powerset( 417.71/63.36 X1844)) => 417.71/63.36 (![X1848]: 417.71/63.36 (in( 417.71/63.36 X1848, 417.71/63.36 powerset( 417.71/63.36 X1844)) => 417.71/63.36 (![X1850]: 417.71/63.36 (in( 417.71/63.36 X1850, 417.71/63.36 powerset( 417.71/63.36 X1844)) => 417.71/63.36 (![X1852]: 417.71/63.36 (in( 417.71/63.36 X1852, 417.71/63.36 powerset( 417.71/63.36 X1844)) => 417.71/63.36 (setminus( 417.71/63.36 X1844, 417.71/63.36 binintersect( 417.71/63.36 binunion( 417.71/63.36 X1846, 417.71/63.36 X1848), 417.71/63.36 binunion( 417.71/63.36 X1850, 417.71/63.36 X1852))) = 417.71/63.36 binunion( 417.71/63.36 binintersect( 417.71/63.36 setminus( 417.71/63.36 X1844, 417.71/63.36 X1846), 417.71/63.36 setminus( 417.71/63.36 X1844, 417.71/63.36 X1848)), 417.71/63.36 binintersect( 417.71/63.36 setminus( 417.71/63.36 X1844, 417.71/63.36 X1850), 417.71/63.36 setminus( 417.71/63.36 X1844, 417.71/63.36 X1852)))))))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1854, 417.71/63.36 X1856]: 417.71/63.36 (in( 417.71/63.36 X1856, 417.71/63.36 powerset( 417.71/63.36 X1854)) => 417.71/63.36 (![X1858]: 417.71/63.36 (in( 417.71/63.36 X1858, 417.71/63.36 powerset( 417.71/63.36 X1854)) => 417.71/63.36 (![X1860]: 417.71/63.36 (in( 417.71/63.36 X1860, 417.71/63.36 powerset( 417.71/63.36 X1854)) => 417.71/63.36 in( 417.71/63.36 binintersect( 417.71/63.36 X1856, 417.71/63.36 X1858), 417.71/63.36 powerset( 417.71/63.36 binintersect( 417.71/63.36 binunion( 417.71/63.36 X1856, 417.71/63.36 X1860), 417.71/63.36 binunion( 417.71/63.36 X1858, 417.71/63.36 X1860)))))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1862, 417.71/63.36 X1864]: 417.71/63.36 (in( 417.71/63.36 X1864, 417.71/63.36 powerset( 417.71/63.36 X1862)) => 417.71/63.36 (![X1866]: 417.71/63.36 (in( 417.71/63.36 X1866, 417.71/63.36 powerset( 417.71/63.36 X1862)) => 417.71/63.36 (subset( 417.71/63.36 X1864, 417.71/63.36 setminus( 417.71/63.36 X1862, 417.71/63.36 X1866)) => 417.71/63.36 subset( 417.71/63.36 X1866, 417.71/63.36 setminus( 417.71/63.36 X1862, 417.71/63.36 X1864))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1868, 417.71/63.36 X1870]: 417.71/63.36 (in( 417.71/63.36 X1870, 417.71/63.36 powerset( 417.71/63.36 X1868)) => 417.71/63.36 (![X1872]: 417.71/63.36 (in( 417.71/63.36 X1872, 417.71/63.36 powerset( 417.71/63.36 X1868)) => 417.71/63.36 in( 417.71/63.36 setminus( 417.71/63.36 X1868, 417.71/63.36 binunion( 417.71/63.36 X1870, 417.71/63.36 X1872)), 417.71/63.36 powerset( 417.71/63.36 setminus( 417.71/63.36 X1868, 417.71/63.36 X1870))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1874, 417.71/63.36 X1876]: 417.71/63.36 (subset( 417.71/63.36 X1876, 417.71/63.36 cartprod( 417.71/63.36 X1874, 417.71/63.36 X1874)) => 417.71/63.36 (![X1878:( 417.71/63.36 ( 417.71/63.36 $i > $o))]: 417.71/63.36 (( 417.71/63.36 ![X1880]: 417.71/63.36 (in( 417.71/63.36 X1880, 417.71/63.36 X1874) => 417.71/63.36 (![X1882]: 417.71/63.36 (in( 417.71/63.36 X1882, 417.71/63.36 X1874) => 417.71/63.36 (in( 417.71/63.36 kpair( 417.71/63.36 X1880, 417.71/63.36 X1882), 417.71/63.36 X1876) => 417.71/63.36 X1878( 417.71/63.36 kpair( 417.71/63.36 X1880, 417.71/63.36 X1882))))))) => 417.71/63.36 (![X1884]: 417.71/63.36 (in( 417.71/63.36 X1884, 417.71/63.36 X1876) => 417.71/63.36 X1878( 417.71/63.36 X1884))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1886, 417.71/63.36 X1888]: 417.71/63.36 (in( 417.71/63.36 X1888, 417.71/63.36 breln1Set( 417.71/63.36 X1886)) => 417.71/63.36 subset( 417.71/63.36 X1888, 417.71/63.36 cartprod( 417.71/63.36 X1886, 417.71/63.36 X1886)))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1890, 417.71/63.36 X1892, 417.71/63.36 X1894:( 417.71/63.36 ($i * $i) > 417.71/63.36 $o)]: 417.71/63.36 (( 417.71/63.36 ![X1896]: 417.71/63.36 (in( 417.71/63.36 X1896, 417.71/63.36 X1890) => 417.71/63.36 (?[X1898]: 417.71/63.36 (in( 417.71/63.36 X1898, 417.71/63.36 X1892) & 417.71/63.36 X1894( 417.71/63.36 X1896, 417.71/63.36 X1898))))) => 417.71/63.36 (![X1900]: 417.71/63.36 (in( 417.71/63.36 X1900, 417.71/63.36 breln1Set( 417.71/63.36 X1892)) => 417.71/63.36 (reflwellordering( 417.71/63.36 X1892, 417.71/63.36 X1900) => 417.71/63.36 (![X1902]: 417.71/63.36 (in( 417.71/63.36 X1902, 417.71/63.36 X1890) => 417.71/63.36 singleton( 417.71/63.36 dsetconstr( 417.71/63.36 X1892, 417.71/63.36 ^[V_53]: 417.71/63.36 (( 417.71/63.36 ![X1904]: 417.71/63.36 (in( 417.71/63.36 X1904, 417.71/63.36 X1892) => 417.71/63.36 (X1894( 417.71/63.36 X1902, 417.71/63.36 X1904) => 417.71/63.36 in( 417.71/63.36 kpair( 417.71/63.36 V_53, 417.71/63.36 X1904), 417.71/63.36 X1900)))) & 417.71/63.36 X1894( 417.71/63.36 X1902, 417.71/63.36 V_53))))))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1906, 417.71/63.36 X1908:( 417.71/63.36 ($i * $i) > 417.71/63.36 $o)]: 417.71/63.36 subset( 417.71/63.36 dpsetconstr( 417.71/63.36 X1906, 417.71/63.36 X1906, 417.71/63.36 ^[V_54, 417.71/63.36 V_55]: 417.71/63.36 X1908( 417.71/63.36 V_54,V_55)), 417.71/63.36 cartprod( 417.71/63.36 X1906, 417.71/63.36 X1906))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1910, 417.71/63.36 X1912]: 417.71/63.36 (subset( 417.71/63.36 X1912, 417.71/63.36 cartprod( 417.71/63.36 X1910, 417.71/63.36 X1910)) => 417.71/63.36 (![X1914:( 417.71/63.36 ( 417.71/63.36 $i > $o))]: 417.71/63.36 (( 417.71/63.36 ![X1916]: 417.71/63.36 (in( 417.71/63.36 X1916, 417.71/63.36 X1910) => 417.71/63.36 (![X1918]: 417.71/63.36 (in( 417.71/63.36 X1918, 417.71/63.36 X1910) => 417.71/63.36 (in( 417.71/63.36 kpair( 417.71/63.36 X1916, 417.71/63.36 X1918), 417.71/63.36 X1912) => 417.71/63.36 X1914( 417.71/63.36 kpair( 417.71/63.36 X1916, 417.71/63.36 X1918))))))) => 417.71/63.36 (![X1920]: 417.71/63.36 (in( 417.71/63.36 X1920, 417.71/63.36 X1912) => 417.71/63.36 X1914( 417.71/63.36 X1920))))))) => 417.71/63.36 ( 417.71/63.36 ( 417.71/63.36 ![X1922, 417.71/63.36 X1924]: 417.71/63.36 (subset( 417.71/63.36 X1924, 417.71/63.36 cartprod( 417.71/63.36 X1922, 417.71/63.36 X1922)) => 417.71/63.36 (![X1926]: 417.71/63.36 (subset( 417.71/63.36 X1926, 417.71/63.36 cartprod( 417.71/63.36 X1922, 417.71/63.36 X1922)) => 417.71/63.36 (( 417.71/63.36 ![X1928]: 417.71/63.36 (in( 417.71/63.36 X1928, 417.71/63.36 X1922) => 417.71/63.36 (![X1930]: 417.71/63.36 (in( 417.71/63.36 X1930, 417.71/63.36 X1922) => 417.71/63.36 (in( 417.71/63.36 kpair( 417.71/63.36 X1928, 417.71/63.36 X1930), 417.71/63.36 X1924) => 417.71/63.36 in( 417.71/63.36 kpair( 417.71/63.36 X1928, 417.71/63.36 X1930), 417.71/63.36 X1926)))))) => 417.71/63.36 subset( 417.71/63.36 X1924, 417.71/63.36 X1926)))))) => 417.71/63.36 ( 417.71/63.36 ![X1932, 417.71/63.36 X1934]: 417.71/63.36 (subset( 417.71/63.36 X1934, 417.71/63.36 cartprod( 417.71/63.36 X1932, 417.71/63.36 X1932)) => 417.71/63.36 (![X1936]: 417.71/63.36 (subset( 417.71/63.36 X1936, 417.71/63.36 cartprod( 417.71/63.36 X1932, 417.71/63.36 X1932)) => 417.71/63.36 (( 417.71/63.36 ![X1938]: 417.71/63.36 (in( 417.71/63.36 X1938, 417.71/63.36 X1932) => 417.71/63.36 (![X1940]: 417.71/63.36 (in( 417.71/63.36 X1940, 417.71/63.36 X1932) => 417.71/63.36 (in( 417.71/63.36 kpair( 417.71/63.36 X1938, 417.71/63.36 X1940), 417.71/63.36 X1934) => 417.71/63.36 in( 417.71/63.36 kpair( 417.71/63.36 X1938, 417.71/63.36 X1940), 417.71/63.36 X1936)))))) => 417.71/63.36 (( 417.71/63.36 ![X1942]: 417.71/63.36 (in( 417.71/63.36 X1942, 417.71/63.36 X1932) => 417.71/63.36 (![X1944]: 417.71/63.36 (in( 417.71/63.36 X1944, 417.71/63.36 X1932) => 417.71/63.36 (in( 417.71/63.36 kpair( 417.71/63.36 X1942, 417.71/63.36 X1944), 417.71/63.36 X1936) => 417.71/63.36 in( 417.71/63.36 kpair( 417.71/63.36 X1942, 417.71/63.36 X1944), 417.71/63.36 X1934)))))) => 417.71/63.36 (X1934 = 417.71/63.36 X1936)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 417.71/63.36 tff(zf_stmt_1, type, zip_tseitin_5 : ($i * ($i > $o)) > $o). 417.71/63.36 tff(zf_stmt_2, axiom, 417.71/63.36 (zip_tseitin_5(X422,X414) <=> 417.71/63.36 ((![X424]: zip_tseitin_4(X424,X422,X414)) & X414(X422)))). 417.71/63.36 tff(zf_stmt_3, type, zip_tseitin_4 : ($i * $i * ($i > $o)) > $o). 417.71/63.36 tff(zf_stmt_4, axiom, 417.71/63.36 (zip_tseitin_4(X424,X422,X414) <=> (X414(X424) => (X422 = X424)))). 417.71/63.36 tff(zf_stmt_5, type, zip_tseitin_3 : ($i * $i * $i * ($i * $i) > $o) > $o). 417.71/63.36 tff(zf_stmt_6, axiom, 417.71/63.36 (zip_tseitin_3(X52,X50,X40,X38) <=> (X38(X52,X50) & in(X52,X40)))). 417.71/63.36 tff(zf_stmt_7, type, zip_tseitin_2 : ($i * $i * $i) > $o). 417.71/63.36 tff(zf_stmt_8, axiom, 417.71/63.36 (zip_tseitin_2(X28,X26,X24) <=> (in(X28,X24) & in(X26,X28)))). 417.71/63.36 tff(zf_stmt_9, type, zip_tseitin_1 : ($i * $i * $i) > $o). 417.71/63.36 tff(zf_stmt_10, axiom, 417.71/63.36 (zip_tseitin_1(X22,X20,X18) <=> (in(X22,X20) => in(X22,X18)))). 417.71/63.36 tff(zf_stmt_11, type, zip_tseitin_0 : ($i * $i * $i) > $o). 417.71/63.36 tff(zf_stmt_12, axiom, 417.71/63.36 (zip_tseitin_0(X16,X14,X12) <=> ((X16 = X12) | in(X16,X14)))). 417.71/63.36 tff(zf_stmt_13, conjecture, 417.71/63.36 ((![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))) => 417.71/63.36 ((![X10]: (~in(X10,emptyset))) => 417.71/63.36 ((![X12,X14,X16]: 417.71/63.36 (in(X16,setadjoin(X12,X14)) <=> zip_tseitin_0(X16,X14,X12))) => 417.71/63.36 ((![X18,X20]: 417.71/63.36 (in(X20,powerset(X18)) <=> (![X22]: zip_tseitin_1(X22,X20,X18)))) => 417.71/63.36 ((![X24,X26]: 417.71/63.36 (in(X26,setunion(X24)) <=> (?[X28]: zip_tseitin_2(X28,X26,X24)))) => 417.71/63.36 (in(emptyset,omega) => 417.71/63.36 ((![X30]: (in(X30,omega) => in(setadjoin(X30,X30),omega))) => 417.71/63.36 ((![X32]: 417.71/63.36 ((in(emptyset,X32) & 417.71/63.36 (![X34]: 417.71/63.36 ((in(X34,omega) & in(X34,X32)) => 417.71/63.36 in(setadjoin(X34,X34),X32)))) => 417.71/63.36 (![X36]: (in(X36,omega) => in(X36,X32))))) => 417.92/63.36 ((![X38:(($i * $i) > $o),X40]: 417.92/63.36 ((![X42]: 417.92/63.36 (in(X42,X40) => 417.92/63.36 (?[X44]: 417.92/63.36 ((![X46]: (X38(X42,X46) => (X44 = X46))) & X38(X42,X44))))) => 417.92/63.36 (?[X48]: 417.92/63.36 (![X50]: 417.92/63.36 (in(X50,X48) <=> 417.92/63.36 (?[X52]: zip_tseitin_3(X52,X50,X40,X38))))))) => 417.92/63.36 ((![X54]: 417.92/63.36 ((?[X56]: in(X56,X54)) => 417.92/63.36 (?[X58]: 417.92/63.36 ((~(?[X60]: (in(X60,X54) & in(X60,X58)))) & in(X58,X54))))) => 417.92/63.36 ((![X62]: 417.92/63.36 (?[X64]: 417.92/63.36 ((![X66]: 417.92/63.36 (((![X68]: (in(X68,X66) => in(X68,X62))) & 417.92/63.36 (?[X70]: in(X70,X66))) => 417.92/63.36 (?[X72,X74]: 417.92/63.36 ((![X76]: 417.92/63.36 (in(X76,X64) => 417.92/63.36 ((![X78]: (in(X78,X76) => in(X78,X72))) | 417.92/63.36 in(X74,X76)))) & 417.92/63.36 (~(?[X80]: (in(X80,X66) & in(X80,X72)))) & 417.92/63.36 in(X74,X66) & in(X72,X64))))) & 417.92/63.36 (![X82,X84]: 417.92/63.36 ((in(X82,X64) & in(X84,X64)) => 417.92/63.36 ((![X86]: (in(X86,X82) => in(X86,X84))) | 417.92/63.36 (![X88]: (in(X88,X84) => in(X88,X82)))))) & 417.92/63.36 (![X90,X92]: 417.92/63.36 ((in(X90,X62) & in(X92,X62)) => 417.92/63.36 ((![X94]: 417.92/63.36 (in(X94,X64) => (in(X90,X94) <=> in(X92,X94)))) => 417.92/63.36 (X90 = X92)))) & 417.92/63.36 (![X96]: 417.92/63.36 (in(X96,X64) => (![X98]: (in(X98,X96) => in(X98,X62)))))))) => 417.92/63.36 ((![X100:(($i > $o))]: 417.92/63.36 ((?[X102]: 417.92/63.36 ((![X104]: (X100(X104) => (X102 = X104))) & X100(X102))) => 417.92/63.36 X100(descr(^[V_1]: X100(V_1))))) => 417.92/63.36 ((![X106,X108:(($i > $o)),X110]: 417.92/63.36 (in(X110,X106) => 417.92/63.36 (X108(X110) => in(X110,dsetconstr(X106,^[V_2]: X108(V_2)))))) => 417.92/63.36 ((![X112,X114:(($i > $o)),X116]: 417.92/63.36 (in(X116,dsetconstr(X112,^[V_3]: X114(V_3))) => 417.92/63.36 in(X116,X112))) => 417.92/63.36 ((![X118,X120:(($i > $o)),X122]: 417.92/63.36 (in(X122,dsetconstr(X118,^[V_4]: X120(V_4))) => 417.92/63.36 X120(X122))) => 417.92/63.36 ((![X124:(($i > $o))]: 417.92/63.36 ((?[X126]: 417.92/63.36 ((![X128]: (X124(X128) => (X126 = X128))) & 417.92/63.36 X124(X126))) => 417.92/63.36 (?[X130]: 417.92/63.36 ((![X132]: (X124(X132) => (X130 = X132))) & 417.92/63.36 X124(X130))))) => 417.92/63.36 ((![X134:$o,X136]: (in(X136,prop2set(X134)) => X134)) => 417.92/63.36 ((![X138]: (in(X138,emptyset) => (![X140:$o]: X140))) => 417.92/63.36 ((![X142]: (~in(X142,emptyset))) => 417.92/63.36 ((![X144]: (~in(X144,emptyset))) => 417.92/63.36 ((![X146:(($i > $o))]: 417.92/63.36 ((?[X148]: 417.92/63.36 ((![X150]: (X146(X150) => (X148 = X150))) & 417.92/63.36 X146(X148))) => 417.92/63.36 (?[X152]: X146(X152)))) => 417.92/63.36 ((![X154,X156]: 417.92/63.36 ((![X158]: (in(X158,X154) => in(X158,X156))) => 417.92/63.36 ((![X160]: (in(X160,X156) => in(X160,X154))) => 417.92/63.36 (X154 = X156)))) => 417.92/63.36 ((![X162]: 417.92/63.36 ((![X164]: (~in(X164,X162))) => (X162 = emptyset))) => 417.92/63.36 ((![X166]: 417.92/63.36 ((![X168]: (~in(X168,X166))) => 417.92/63.36 (X166 = emptyset))) => 417.92/63.36 ((![X170,X172:(($i > $o)),X174]: 417.92/63.36 (in(X174,X170) => 417.92/63.36 (in(X174,dsetconstr(X170,^[V_5]: X172(V_5))) <=> 417.92/63.36 X172(X174)))) => 417.92/63.36 ((![X176]: 417.92/63.36 ((X176 != emptyset) => 417.92/63.36 (?[X178]: in(X178,X176)))) => 417.92/63.36 ((![X180,X182:(($i > $o)),X184]: 417.92/63.36 (in(X184,X180) => 417.92/63.36 (X182(X184) => 417.92/63.36 (dsetconstr(X180,^[V_6]: X182(V_6)) != 417.92/63.36 emptyset)))) => 417.92/63.36 ((![X186]: 417.92/63.36 ((?[X188]: in(X188,X186)) => 417.92/63.36 (X186 != emptyset))) => 417.92/63.36 ((![X190,X192]: in(X190,setadjoin(X190,X192))) => 417.92/63.36 (in(emptyset,setadjoin(emptyset,emptyset)) => 417.92/63.36 ((![X194,X196,X198]: 417.92/63.36 (in(X198,X196) => 417.92/63.36 in(X198,setadjoin(X194,X196)))) => 417.92/63.36 ((![X200,X202,X204]: 417.92/63.36 (in(X204,setadjoin(X200,X202)) => 417.92/63.36 (![X206:$o]: 417.92/63.36 (((X204 = X200) => X206) => 417.92/63.36 ((in(X204,X202) => X206) => X206))))) => 417.92/63.36 ((![X208,X210,X212]: 417.92/63.36 (in(X212,setadjoin(X208,X210)) => 417.92/63.36 ((X212 = X208) | in(X212,X210)))) => 417.92/63.36 ((![X214]: 417.92/63.36 (dsetconstr(X214,^[V_7]: $true) = X214)) => 417.92/63.36 ((![X216,X218]: 417.92/63.36 ((![X220]: 417.92/63.36 (in(X220,X218) => in(X220,X216))) => 417.92/63.36 in(X218,powerset(X216)))) => 417.92/63.36 ((![X222]: in(emptyset,powerset(X222))) => 417.92/63.36 ((![X224]: in(emptyset,powerset(X224))) => 417.92/63.36 ((![X226,X228,X230]: 417.92/63.36 (in(X228,powerset(X226)) => 417.92/63.36 (in(X230,X228) => in(X230,X226)))) => 417.92/63.36 ((![X232,X234,X236]: 417.92/63.36 (in(X234,X236) => 417.92/63.36 (in(X236,X232) => 417.92/63.36 in(X234,setunion(X232))))) => 417.92/63.36 ((![X238,X240]: 417.92/63.36 (in(X240,setunion(X238)) => 417.92/63.36 (![X242:$o]: 417.92/63.36 ((![X244]: 417.92/63.36 (in(X240,X244) => 417.92/63.36 (in(X244,X238) => X242))) => 417.92/63.36 X242)))) => 417.92/63.36 ((![X246,X248]: 417.92/63.36 (in(X248,X246) => 417.92/63.36 in(X248, 417.92/63.36 powerset(setunion(X246))))) => 417.92/63.36 ((![X250:(($i > $o))]: 417.92/63.36 ((?[X252]: 417.92/63.36 ((![X254]: 417.92/63.36 (X250(X254) => 417.92/63.36 (X252 = X254))) & 417.92/63.36 X250(X252))) => 417.92/63.36 (?[X256]: 417.92/63.36 (![X258]: 417.92/63.36 (X250(X258) <=> 417.92/63.36 (X258 = X256)))))) => 417.92/63.36 ((![X260]: 417.92/63.36 ((X260 != emptyset) => 417.92/63.36 (?[X262]: in(X262,X260)))) => 417.92/63.36 ((![X264,X266]: 417.92/63.36 (in(X264, 417.92/63.36 setadjoin(X266,emptyset)) => 417.92/63.36 (X264 = X266))) => 417.92/63.36 ((![X268,X270]: 417.92/63.36 ((X268 != X270) => 417.92/63.36 (~ 417.92/63.36 in(X270, 417.92/63.36 setadjoin(X268, 417.92/63.36 emptyset))))) => 417.92/63.36 ((![X272,X274]: 417.92/63.36 ((X272 = X274) => 417.92/63.36 in(X272, 417.92/63.36 setadjoin(X274, 417.92/63.36 emptyset)))) => 417.92/63.36 ((![X276,X278]: 417.92/63.36 (in(X276, 417.92/63.36 setadjoin(X278, 417.92/63.36 emptyset)) => 417.92/63.36 in(X278, 417.92/63.36 setadjoin(X276, 417.92/63.36 emptyset)))) => 417.92/63.36 ((![X280,X282,X284]: 417.92/63.36 (in(X284, 417.92/63.36 setadjoin(X280, 417.92/63.36 setadjoin( 417.92/63.36 X282, 417.92/63.36 emptyset))) => 417.92/63.36 ((X284 = X280) | 417.92/63.36 (X284 = X282)))) => 417.92/63.36 ((![X286,X288]: 417.92/63.36 in(X286, 417.92/63.36 setadjoin(X286, 417.92/63.36 setadjoin( 417.92/63.36 X288, 417.92/63.36 emptyset)))) => 417.92/63.36 ((![X290,X292]: 417.92/63.36 in(X292, 417.92/63.36 setadjoin(X290, 417.92/63.36 setadjoin( 417.92/63.36 X292, 417.92/63.36 emptyset)))) => 417.92/63.36 ((![X294,X296:(($i > $o))]: 417.92/63.36 ((?[X298]: 417.92/63.36 (X296(X298) & 417.92/63.36 in(X298,X294))) => 417.92/63.36 (dsetconstr( 417.92/63.36 X294, 417.92/63.36 ^[V_8]: X296(V_8)) != 417.92/63.36 emptyset))) => 417.92/63.36 ((![X300:(($i > $o)), 417.92/63.36 X302]: 417.92/63.36 (in(X302,emptyset) => 417.92/63.36 X300(X302))) => 417.92/63.36 ((![X304, 417.92/63.36 X306:(($i > $o))]: 417.92/63.36 ((~ 417.92/63.36 (![X308]: 417.92/63.36 (in(X308,X304) => 417.92/63.36 X306(X308)))) => 417.92/63.36 (?[X310]: 417.92/63.36 ((~X306(X310)) & 417.92/63.36 in(X310,X304))))) => 417.92/63.36 ((![X312, 417.92/63.36 X314:(($i > $o))]: 417.92/63.36 ((![X316]: 417.92/63.36 (in(X316,X312) => 417.92/63.36 (~X314(X316)))) => 417.92/63.36 (~ 417.92/63.36 (?[X318]: 417.92/63.36 (X314(X318) & 417.92/63.36 in( 417.92/63.36 X318,X312)))))) => 417.92/63.36 ((![X320, 417.92/63.36 X322:(($i > $o))]: 417.92/63.36 ((~ 417.92/63.36 (?[X324]: 417.92/63.36 (X322(X324) & 417.92/63.36 in( 417.92/63.36 X324,X320)))) => 417.92/63.36 (![X326]: 417.92/63.36 (in(X326,X320) => 417.92/63.36 (~X322(X326)))))) => 417.92/63.36 ((![X328, 417.92/63.36 X330:(($i > $o))]: 417.92/63.36 ((?[X332]: 417.92/63.36 ((~ 417.92/63.36 X330( 417.92/63.36 X332)) & 417.92/63.36 in( 417.92/63.36 X332,X328))) => 417.92/63.36 (~ 417.92/63.36 (![X334]: 417.92/63.36 (in( 417.92/63.36 X334,X328) => 417.92/63.36 X330( 417.92/63.36 X334)))))) => 417.92/63.36 ((![X336:$o]: 417.92/63.36 (X336 => 417.92/63.36 in(emptyset, 417.92/63.36 prop2set( 417.92/63.36 X336)))) => 417.92/63.36 ((![X338:$o]: 417.92/63.36 (X338 => 417.92/63.36 set2prop( 417.92/63.36 prop2set( 417.92/63.36 X338)))) => 417.92/63.36 ((![X340, 417.92/63.36 X342:( 417.92/63.36 ($i > $o))]: 417.92/63.36 ((~ 417.92/63.36 (?[X344]: 417.92/63.36 (X342( 417.92/63.36 X344) & 417.92/63.36 in( 417.92/63.36 X344,X340)))) => 417.92/63.36 (![X346]: 417.92/63.36 ( 417.92/63.36 in( 417.92/63.36 X346,X340) => 417.92/63.36 ( 417.92/63.36 ~ 417.92/63.36 X342( 417.92/63.36 X346)))))) => 417.92/63.36 ((![X348, 417.92/63.36 X350:( 417.92/63.36 ($i > $o))]: 417.92/63.36 ((~ 417.92/63.36 ( 417.92/63.36 ![X352]: 417.92/63.36 (in( 417.92/63.36 X352,X348) => 417.92/63.36 X350( 417.92/63.36 X352)))) => 417.92/63.36 (?[X354]: 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 X350( 417.92/63.36 X354)) & 417.92/63.36 in( 417.92/63.36 X354,X348))))) => 417.92/63.36 ((![X356:( 417.92/63.36 ($i > $o))]: 417.92/63.36 ((?[X358]: 417.92/63.36 (( 417.92/63.36 ![X360]: 417.92/63.36 (X356( 417.92/63.36 X360) => 417.92/63.36 (X358 = 417.92/63.36 X360))) & 417.92/63.36 X356( 417.92/63.36 X358))) => 417.92/63.36 (?[X362]: 417.92/63.36 (( 417.92/63.36 ![X364]: 417.92/63.36 (X356( 417.92/63.36 X364) => 417.92/63.36 (X362 = 417.92/63.36 X364))) & 417.92/63.36 X356( 417.92/63.36 X362))))) => 417.92/63.36 ((![X366:( 417.92/63.36 ($i > $o))]: 417.92/63.36 (( 417.92/63.36 ?[X368]: 417.92/63.36 X366( 417.92/63.36 X368)) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X370, 417.92/63.36 X372]: 417.92/63.36 (X366( 417.92/63.36 X370) => 417.92/63.36 (X366( 417.92/63.36 X372) => 417.92/63.36 (X370 = 417.92/63.36 X372)))) => 417.92/63.36 ( 417.92/63.36 ?[X374]: 417.92/63.36 (( 417.92/63.36 ![X376]: 417.92/63.36 (X366( 417.92/63.36 X376) => 417.92/63.36 (X374 = 417.92/63.36 X376))) & 417.92/63.36 X366( 417.92/63.36 X374)))))) => 417.92/63.36 ((![X378:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ?[X380]: 417.92/63.36 (![X382]: 417.92/63.36 (X378( 417.92/63.36 X382) <=> 417.92/63.36 (X382 = 417.92/63.36 X380)))) => 417.92/63.36 ( 417.92/63.36 ?[X384]: 417.92/63.36 (( 417.92/63.36 ![X386]: 417.92/63.36 (X378( 417.92/63.36 X386) => 417.92/63.36 (X384 = 417.92/63.36 X386))) & 417.92/63.36 X378( 417.92/63.36 X384))))) => 417.92/63.36 ((![X388, 417.92/63.36 X390]: 417.92/63.36 (( 417.92/63.36 X388 = 417.92/63.36 X390) => 417.92/63.36 (![X392, 417.92/63.36 X394]: 417.92/63.36 (( 417.92/63.36 X392 = 417.92/63.36 X394) => 417.92/63.36 (in( 417.92/63.36 X392,X388) => 417.92/63.36 in( 417.92/63.36 X394,X390)))))) => 417.92/63.36 ((![X396, 417.92/63.36 X398]: 417.92/63.36 (( 417.92/63.36 X396 = 417.92/63.36 X398) => 417.92/63.36 (![X400, 417.92/63.36 X402]: 417.92/63.36 (( 417.92/63.36 X400 = 417.92/63.36 X402) => 417.92/63.36 (in( 417.92/63.36 X400,X396) <=> 417.92/63.36 in( 417.92/63.36 X402,X398)))))) => 417.92/63.36 (( 417.92/63.36 ![X404:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 (( 417.92/63.36 ?[X406]: 417.92/63.36 (( 417.92/63.36 ![X408]: 417.92/63.36 (X404( 417.92/63.36 X408) => 417.92/63.36 (X406 = 417.92/63.36 X408))) & 417.92/63.36 X404( 417.92/63.36 X406))) => 417.92/63.36 (![X410, 417.92/63.36 X412]: 417.92/63.36 (X404( 417.92/63.36 X410) => 417.92/63.36 (X404( 417.92/63.36 X412) => 417.92/63.36 (X410 = 417.92/63.36 X412)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X414:( 417.92/63.36 ( 417.92/63.36 $i > $o)), 417.92/63.36 X416:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 (( 417.92/63.36 ![X418, 417.92/63.36 X420]: 417.92/63.36 (( 417.92/63.36 X418 = 417.92/63.36 X420) => 417.92/63.36 (X414( 417.92/63.36 X418) <=> 417.92/63.36 X416( 417.92/63.36 X420)))) => 417.92/63.36 (( 417.92/63.36 ?[X422]: 417.92/63.36 zip_tseitin_5( 417.92/63.36 X422,X414)) <=> 417.92/63.36 (?[X426]: 417.92/63.36 zip_tseitin_5( 417.92/63.36 X426,X416))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 emptyset = 417.92/63.36 emptyset) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X430, 417.92/63.36 X432]: 417.92/63.36 (( 417.92/63.36 X430 = 417.92/63.36 X432) => 417.92/63.36 (![X434, 417.92/63.36 X436]: 417.92/63.36 (( 417.92/63.36 X434 = 417.92/63.36 X436) => 417.92/63.36 (setadjoin( 417.92/63.36 X430,X434) = 417.92/63.36 setadjoin( 417.92/63.36 X432,X436)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X438, 417.92/63.36 X440]: 417.92/63.36 (( 417.92/63.36 X438 = 417.92/63.36 X440) => 417.92/63.36 (powerset( 417.92/63.36 X438) = 417.92/63.36 powerset( 417.92/63.36 X440)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X442, 417.92/63.36 X444]: 417.92/63.36 (( 417.92/63.36 X442 = 417.92/63.36 X444) => 417.92/63.36 (setunion( 417.92/63.36 X442) = 417.92/63.36 setunion( 417.92/63.36 X444)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 omega = 417.92/63.36 omega) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X446:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 (( 417.92/63.36 ?[X448]: 417.92/63.36 (( 417.92/63.36 ![X450]: 417.92/63.36 (X446( 417.92/63.36 X450) => 417.92/63.36 (X448 = 417.92/63.36 X450))) & 417.92/63.36 X446( 417.92/63.36 X448))) => 417.92/63.36 (![X452, 417.92/63.36 X454]: 417.92/63.36 (X446( 417.92/63.36 X452) => 417.92/63.36 (X446( 417.92/63.36 X454) => 417.92/63.36 (X452 = 417.92/63.36 X454)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X456:( 417.92/63.36 ( 417.92/63.36 $i > $o)), 417.92/63.36 X458:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 (( 417.92/63.36 ![X460, 417.92/63.36 X462]: 417.92/63.36 (( 417.92/63.36 X460 = 417.92/63.36 X462) => 417.92/63.36 (X456( 417.92/63.36 X460) <=> 417.92/63.36 X458( 417.92/63.36 X462)))) => 417.92/63.36 (( 417.92/63.36 ?[X464]: 417.92/63.36 (( 417.92/63.36 ![X466]: 417.92/63.36 (X456( 417.92/63.36 X466) => 417.92/63.36 (X464 = 417.92/63.36 X466))) & 417.92/63.36 X456( 417.92/63.36 X464))) => 417.92/63.36 (( 417.92/63.36 ?[X468]: 417.92/63.36 (( 417.92/63.36 ![X470]: 417.92/63.36 (X458( 417.92/63.36 X470) => 417.92/63.36 (X468 = 417.92/63.36 X470))) & 417.92/63.36 X458( 417.92/63.36 X468))) => 417.92/63.36 (descr( 417.92/63.36 ^[V_9]: 417.92/63.36 X456(V_9)) = 417.92/63.36 descr( 417.92/63.36 ^[V_10]: 417.92/63.36 X458( 417.92/63.36 V_10))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X472, 417.92/63.36 X474]: 417.92/63.36 (( 417.92/63.36 X472 = 417.92/63.36 X474) => 417.92/63.36 (![X476:( 417.92/63.36 ( 417.92/63.36 $i > $o)), 417.92/63.36 X478:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 (( 417.92/63.36 ![X480]: 417.92/63.36 (in( 417.92/63.36 X480,X472) => 417.92/63.36 (![X482]: 417.92/63.36 (in( 417.92/63.36 X482,X474) => 417.92/63.36 (( 417.92/63.36 X480 = 417.92/63.36 X482) => 417.92/63.36 (X476( 417.92/63.36 X480) <=> 417.92/63.36 X478( 417.92/63.36 X482))))))) => 417.92/63.36 (dsetconstr( 417.92/63.36 X472, 417.92/63.36 ^[V_11]: 417.92/63.36 X476( 417.92/63.36 V_11)) = 417.92/63.36 dsetconstr( 417.92/63.36 X474, 417.92/63.36 ^[V_12]: 417.92/63.36 X478( 417.92/63.36 V_12))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X484, 417.92/63.36 X486]: 417.92/63.36 (( 417.92/63.36 ![X488]: 417.92/63.36 (in( 417.92/63.36 X488,X484) => 417.92/63.36 in( 417.92/63.36 X488,X486))) => 417.92/63.36 subset( 417.92/63.36 X484,X486))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X490, 417.92/63.36 X492]: 417.92/63.36 (( 417.92/63.36 X490 = 417.92/63.36 X492) => 417.92/63.36 subset( 417.92/63.36 X492,X490))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X494, 417.92/63.36 X496]: 417.92/63.36 (( 417.92/63.36 X494 = 417.92/63.36 X496) => 417.92/63.36 subset( 417.92/63.36 X494,X496))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X498, 417.92/63.36 X500]: 417.92/63.36 (( 417.92/63.36 ![X502]: 417.92/63.36 (in( 417.92/63.36 X502,X498) => 417.92/63.36 in( 417.92/63.36 X502,X500))) => 417.92/63.36 subset( 417.92/63.36 X498,X500))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X504]: 417.92/63.36 subset( 417.92/63.36 emptyset, 417.92/63.36 X504)) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X506, 417.92/63.36 X508,X510]: 417.92/63.36 (subset( 417.92/63.36 X506,X508) => 417.92/63.36 (in( 417.92/63.36 X510,X506) => 417.92/63.36 in( 417.92/63.36 X510,X508)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X512, 417.92/63.36 X514,X516]: 417.92/63.36 (subset( 417.92/63.36 X512,X514) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X516,X514)) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X516,X512))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X518, 417.92/63.36 X520,X522]: 417.92/63.36 (in( 417.92/63.36 X522,X518) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X522,X520)) => 417.92/63.36 (~ 417.92/63.36 subset( 417.92/63.36 X518,X520))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X524, 417.92/63.36 X526]: 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 subset( 417.92/63.36 X524,X526)) => 417.92/63.36 (X524 != 417.92/63.36 X526))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X528, 417.92/63.36 X530,X532]: 417.92/63.36 (in( 417.92/63.36 X532,X528) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X532,X530)) => 417.92/63.36 (X528 != 417.92/63.36 X530)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X534]: 417.92/63.36 subset( 417.92/63.36 X534,X534)) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X536, 417.92/63.36 X538,X540]: 417.92/63.36 (subset( 417.92/63.36 X536,X538) => 417.92/63.36 (subset( 417.92/63.36 X538,X540) => 417.92/63.36 subset( 417.92/63.36 X536,X540)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X542, 417.92/63.36 X544]: 417.92/63.36 subset( 417.92/63.36 X544, 417.92/63.36 setadjoin( 417.92/63.36 X542,X544))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X546, 417.92/63.36 X548,X550]: 417.92/63.36 (subset( 417.92/63.36 X546,X550) => 417.92/63.36 subset( 417.92/63.36 X546, 417.92/63.36 setadjoin( 417.92/63.36 X548,X550)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X552, 417.92/63.36 X554]: 417.92/63.36 (subset( 417.92/63.36 X552,X554) => 417.92/63.36 in( 417.92/63.36 X552, 417.92/63.36 powerset( 417.92/63.36 X554)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X556, 417.92/63.36 X558]: 417.92/63.36 (subset( 417.92/63.36 X556,X558) => 417.92/63.36 (subset( 417.92/63.36 X558,X556) => 417.92/63.36 (X556 = 417.92/63.36 X558)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X560]: 417.92/63.36 (subset( 417.92/63.36 X560, 417.92/63.36 emptyset) => 417.92/63.36 (X560 = 417.92/63.36 emptyset))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X562, 417.92/63.36 X564]: 417.92/63.36 (subset( 417.92/63.36 X564,X562) => 417.92/63.36 in( 417.92/63.36 X564, 417.92/63.36 powerset( 417.92/63.36 X562)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X566, 417.92/63.36 X568]: 417.92/63.36 (in( 417.92/63.36 X568, 417.92/63.36 powerset( 417.92/63.36 X566)) => 417.92/63.36 subset( 417.92/63.36 X568,X566))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X570]: 417.92/63.36 in( 417.92/63.36 X570, 417.92/63.36 powerset( 417.92/63.36 X570))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X572, 417.92/63.36 X574]: 417.92/63.36 (subset( 417.92/63.36 X572,X574) => 417.92/63.36 subset( 417.92/63.36 powerset( 417.92/63.36 X572), 417.92/63.36 powerset( 417.92/63.36 X574)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X576, 417.92/63.36 X578:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 in( 417.92/63.36 dsetconstr( 417.92/63.36 X576, 417.92/63.36 ^[V_13]: 417.92/63.36 X578( 417.92/63.36 V_13)), 417.92/63.36 powerset( 417.92/63.36 X576))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X580, 417.92/63.36 X582:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 subset( 417.92/63.36 dsetconstr( 417.92/63.36 X580, 417.92/63.36 ^[V_14]: 417.92/63.36 X582( 417.92/63.36 V_14)), 417.92/63.36 X580)) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X584, 417.92/63.36 X586,X588]: 417.92/63.36 (in( 417.92/63.36 X588,X584) => 417.92/63.36 in( 417.92/63.36 X588, 417.92/63.36 binunion( 417.92/63.36 X584,X586)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X590, 417.92/63.36 X592]: 417.92/63.36 in( 417.92/63.36 X592, 417.92/63.36 setadjoin( 417.92/63.36 X590, 417.92/63.36 setadjoin( 417.92/63.36 X592, 417.92/63.36 emptyset)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X594, 417.92/63.36 X596,X598]: 417.92/63.36 (in( 417.92/63.36 X598,X596) => 417.92/63.36 in( 417.92/63.36 X598, 417.92/63.36 binunion( 417.92/63.36 X594,X596)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X600, 417.92/63.36 X602, 417.92/63.36 X604, 417.92/63.36 X606:$o]: 417.92/63.36 (in( 417.92/63.36 X604, 417.92/63.36 binunion( 417.92/63.36 X600,X602)) => 417.92/63.36 (( 417.92/63.36 in( 417.92/63.36 X604,X600) => 417.92/63.36 X606) => 417.92/63.36 (( 417.92/63.36 in( 417.92/63.36 X604,X602) => 417.92/63.36 X606) => 417.92/63.36 X606)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X608, 417.92/63.36 X610,X612]: 417.92/63.36 (in( 417.92/63.36 X612, 417.92/63.36 binunion( 417.92/63.36 X608,X610)) => 417.92/63.36 (in( 417.92/63.36 X612,X608) | 417.92/63.36 in( 417.92/63.36 X612,X610)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X614, 417.92/63.36 X616]: 417.92/63.36 subset( 417.92/63.36 X614, 417.92/63.36 binunion( 417.92/63.36 X614,X616))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X618, 417.92/63.36 X620]: 417.92/63.36 subset( 417.92/63.36 X620, 417.92/63.36 binunion( 417.92/63.36 X618,X620))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X622, 417.92/63.36 X624,X626]: 417.92/63.36 (in( 417.92/63.36 X626,X622) => 417.92/63.36 (in( 417.92/63.36 X626,X624) => 417.92/63.36 in( 417.92/63.36 X626, 417.92/63.36 binintersect( 417.92/63.36 X622,X624))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X628, 417.92/63.36 X630,X632]: 417.92/63.36 (subset( 417.92/63.36 X632,X628) => 417.92/63.36 (subset( 417.92/63.36 X632,X630) => 417.92/63.36 subset( 417.92/63.36 X632, 417.92/63.36 binintersect( 417.92/63.36 X628,X630))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X634, 417.92/63.36 X636,X638]: 417.92/63.36 (in( 417.92/63.36 X638, 417.92/63.36 binintersect( 417.92/63.36 X634,X636)) => 417.92/63.36 in( 417.92/63.36 X638,X634))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X640, 417.92/63.36 X642]: 417.92/63.36 subset( 417.92/63.36 binintersect( 417.92/63.36 X640,X642), 417.92/63.36 X640)) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X644, 417.92/63.36 X646]: 417.92/63.36 (subset( 417.92/63.36 X644,X646) => 417.92/63.36 (binintersect( 417.92/63.36 X644,X646) = 417.92/63.36 X644))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X648, 417.92/63.36 X650]: 417.92/63.36 (( 417.92/63.36 binintersect( 417.92/63.36 X648,X650) = 417.92/63.36 X650) => 417.92/63.36 subset( 417.92/63.36 X650,X648))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X652, 417.92/63.36 X654,X656]: 417.92/63.36 (in( 417.92/63.36 X656, 417.92/63.36 binintersect( 417.92/63.36 X652,X654)) => 417.92/63.36 in( 417.92/63.36 X656,X654))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X658, 417.92/63.36 X660]: 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 ( 417.92/63.36 ?[X662]: 417.92/63.36 (in( 417.92/63.36 X662,X660) & 417.92/63.36 in( 417.92/63.36 X662,X658)))) => 417.92/63.36 (binintersect( 417.92/63.36 X658,X660) = 417.92/63.36 emptyset))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X664, 417.92/63.36 X666]: 417.92/63.36 subset( 417.92/63.36 binintersect( 417.92/63.36 X664,X666), 417.92/63.36 X666)) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X668, 417.92/63.36 X670]: 417.92/63.36 (subset( 417.92/63.36 X670,X668) => 417.92/63.36 (binintersect( 417.92/63.36 X668,X670) = 417.92/63.36 X670))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X672, 417.92/63.36 X674]: 417.92/63.36 (( 417.92/63.36 binintersect( 417.92/63.36 X672,X674) = 417.92/63.36 X672) => 417.92/63.36 subset( 417.92/63.36 X672,X674))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X676, 417.92/63.36 X678,X680]: 417.92/63.36 (binintersect( 417.92/63.36 X676, 417.92/63.36 binunion( 417.92/63.36 X678,X680)) = 417.92/63.36 binunion( 417.92/63.36 binintersect( 417.92/63.36 X676,X678), 417.92/63.36 binintersect( 417.92/63.36 X676,X680)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X682, 417.92/63.36 X684,X686]: 417.92/63.36 (in( 417.92/63.36 X686,X682) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X686,X684)) => 417.92/63.36 in( 417.92/63.36 X686, 417.92/63.36 setminus( 417.92/63.36 X682,X684))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X688, 417.92/63.36 X690,X692]: 417.92/63.36 (in( 417.92/63.36 X692, 417.92/63.36 setminus( 417.92/63.36 X688,X690)) => 417.92/63.36 in( 417.92/63.36 X692,X688))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X694, 417.92/63.36 X696,X698]: 417.92/63.36 (in( 417.92/63.36 X698, 417.92/63.36 setminus( 417.92/63.36 X694,X696)) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X698,X696)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X700, 417.92/63.36 X702]: 417.92/63.36 (subset( 417.92/63.36 X700,X702) => 417.92/63.36 (setminus( 417.92/63.36 X700,X702) = 417.92/63.36 emptyset))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X704, 417.92/63.36 X706,X708]: 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X708, 417.92/63.36 setminus( 417.92/63.36 X704,X706))) => 417.92/63.36 (in( 417.92/63.36 X708,X704) => 417.92/63.36 in( 417.92/63.36 X708,X706)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X710, 417.92/63.36 X712,X714]: 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X714, 417.92/63.36 setminus( 417.92/63.36 X710,X712))) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X714,X712)) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X714,X710))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X716, 417.92/63.36 X718,X720]: 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X720,X716)) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X720, 417.92/63.36 setminus( 417.92/63.36 X716,X718))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X722, 417.92/63.36 X724,X726]: 417.92/63.36 (in( 417.92/63.36 X726,X724) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X726, 417.92/63.36 setminus( 417.92/63.36 X722,X724))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X728, 417.92/63.36 X730]: 417.92/63.36 subset( 417.92/63.36 setminus( 417.92/63.36 X728,X730), 417.92/63.36 X728)) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X732, 417.92/63.36 X734]: 417.92/63.36 (( 417.92/63.36 setminus( 417.92/63.36 X732,X734) = 417.92/63.36 emptyset) => 417.92/63.36 subset( 417.92/63.36 X732,X734))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X736, 417.92/63.36 X738,X740]: 417.92/63.36 (in( 417.92/63.36 X740, 417.92/63.36 symdiff( 417.92/63.36 X736,X738)) => 417.92/63.36 (![X742:$o]: 417.92/63.36 (( 417.92/63.36 in( 417.92/63.36 X740,X736) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X740,X738)) => 417.92/63.36 X742)) => 417.92/63.36 (( 417.92/63.36 ( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X740,X736)) => 417.92/63.36 ( 417.92/63.36 in( 417.92/63.36 X740,X738) => 417.92/63.36 X742)) => 417.92/63.36 X742))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X744, 417.92/63.36 X746,X748]: 417.92/63.36 (in( 417.92/63.36 X748,X744) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X748,X746)) => 417.92/63.36 in( 417.92/63.36 X748, 417.92/63.36 symdiff( 417.92/63.36 X744,X746))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X750, 417.92/63.36 X752,X754]: 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X754,X750)) => 417.92/63.36 (in( 417.92/63.36 X754,X752) => 417.92/63.36 in( 417.92/63.36 X754, 417.92/63.36 symdiff( 417.92/63.36 X750,X752))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X756, 417.92/63.36 X758,X760]: 417.92/63.36 (in( 417.92/63.36 X760,X756) => 417.92/63.36 (in( 417.92/63.36 X760,X758) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X760, 417.92/63.36 symdiff( 417.92/63.36 X756,X758)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X762, 417.92/63.36 X764,X766]: 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X766,X762)) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X766,X764)) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X766, 417.92/63.36 symdiff( 417.92/63.36 X762,X764)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X768, 417.92/63.36 X770]: 417.92/63.36 in( 417.92/63.36 X770, 417.92/63.36 setadjoin( 417.92/63.36 X768, 417.92/63.36 setadjoin( 417.92/63.36 X770, 417.92/63.36 emptyset)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X772, 417.92/63.36 X774]: 417.92/63.36 in( 417.92/63.36 X772, 417.92/63.36 setunion( 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X772, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X772, 417.92/63.36 setadjoin( 417.92/63.36 X774, 417.92/63.36 emptyset)), 417.92/63.36 emptyset))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X776, 417.92/63.36 X778]: 417.92/63.36 in( 417.92/63.36 X778, 417.92/63.36 setunion( 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X776, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X776, 417.92/63.36 setadjoin( 417.92/63.36 X778, 417.92/63.36 emptyset)), 417.92/63.36 emptyset))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X780, 417.92/63.36 X782]: 417.92/63.36 iskpair( 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X780, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X780, 417.92/63.36 setadjoin( 417.92/63.36 X782, 417.92/63.36 emptyset)), 417.92/63.36 emptyset)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X784, 417.92/63.36 X786]: 417.92/63.36 iskpair( 417.92/63.36 kpair( 417.92/63.36 X784,X786))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X788, 417.92/63.36 X790]: 417.92/63.36 (in( 417.92/63.36 X790,X788) => 417.92/63.36 subset( 417.92/63.36 setadjoin( 417.92/63.36 X790, 417.92/63.36 emptyset), 417.92/63.36 X788))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X792, 417.92/63.36 X794]: 417.92/63.36 (in( 417.92/63.36 X794,X792) => 417.92/63.36 in( 417.92/63.36 setadjoin( 417.92/63.36 X794, 417.92/63.36 emptyset), 417.92/63.36 powerset( 417.92/63.36 X792)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X796, 417.92/63.36 X798,X800]: 417.92/63.36 (in( 417.92/63.36 X800,X796) => 417.92/63.36 in( 417.92/63.36 setadjoin( 417.92/63.36 X800, 417.92/63.36 emptyset), 417.92/63.36 powerset( 417.92/63.36 binunion( 417.92/63.36 X796,X798))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X802, 417.92/63.36 X804,X806]: 417.92/63.36 (in( 417.92/63.36 X806, 417.92/63.36 setadjoin( 417.92/63.36 X802, 417.92/63.36 setadjoin( 417.92/63.36 X804, 417.92/63.36 emptyset))) => 417.92/63.36 (( 417.92/63.36 X806 = 417.92/63.36 X802) | 417.92/63.36 (X806 = 417.92/63.36 X804)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X808, 417.92/63.36 X810,X812]: 417.92/63.36 (in( 417.92/63.36 X812,X808) => 417.92/63.36 (![X814]: 417.92/63.36 (in( 417.92/63.36 X814,X810) => 417.92/63.36 subset( 417.92/63.36 setadjoin( 417.92/63.36 X812, 417.92/63.36 setadjoin( 417.92/63.36 X814, 417.92/63.36 emptyset)), 417.92/63.36 binunion( 417.92/63.36 X808,X810)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X816, 417.92/63.36 X818,X820]: 417.92/63.36 (in( 417.92/63.36 X820,X816) => 417.92/63.36 (![X822]: 417.92/63.36 (in( 417.92/63.36 X822,X818) => 417.92/63.36 in( 417.92/63.36 setadjoin( 417.92/63.36 X820, 417.92/63.36 setadjoin( 417.92/63.36 X822, 417.92/63.36 emptyset)), 417.92/63.36 powerset( 417.92/63.36 binunion( 417.92/63.36 X816,X818))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X824, 417.92/63.36 X826,X828]: 417.92/63.36 (in( 417.92/63.36 X828,X824) => 417.92/63.36 (![X830]: 417.92/63.36 (in( 417.92/63.36 X830,X826) => 417.92/63.36 subset( 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X828, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X828, 417.92/63.36 setadjoin( 417.92/63.36 X830, 417.92/63.36 emptyset)), 417.92/63.36 emptyset)), 417.92/63.36 powerset( 417.92/63.36 binunion( 417.92/63.36 X824,X826))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X832, 417.92/63.36 X834,X836]: 417.92/63.36 (in( 417.92/63.36 X836,X832) => 417.92/63.36 (![X838]: 417.92/63.36 (in( 417.92/63.36 X838,X834) => 417.92/63.36 in( 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X836, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X836, 417.92/63.36 setadjoin( 417.92/63.36 X838, 417.92/63.36 emptyset)), 417.92/63.36 emptyset)), 417.92/63.36 powerset( 417.92/63.36 powerset( 417.92/63.36 binunion( 417.92/63.36 X832,X834)))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X840, 417.92/63.36 X842,X844]: 417.92/63.36 (in( 417.92/63.36 X844,X840) => 417.92/63.36 (![X846]: 417.92/63.36 (in( 417.92/63.36 X846,X842) => 417.92/63.36 in( 417.92/63.36 kpair( 417.92/63.36 X844,X846), 417.92/63.36 powerset( 417.92/63.36 powerset( 417.92/63.36 binunion( 417.92/63.36 X840,X842)))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X848, 417.92/63.36 X850,X852]: 417.92/63.36 (in( 417.92/63.36 X852,X848) => 417.92/63.36 (![X854]: 417.92/63.36 (in( 417.92/63.36 X854,X850) => 417.92/63.36 in( 417.92/63.36 kpair( 417.92/63.36 X852,X854), 417.92/63.36 cartprod( 417.92/63.36 X848,X850)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X856, 417.92/63.36 X858,X860]: 417.92/63.36 (in( 417.92/63.36 X860, 417.92/63.36 cartprod( 417.92/63.36 X856,X858)) => 417.92/63.36 (?[X862]: 417.92/63.36 (( 417.92/63.36 ?[X864]: 417.92/63.36 (( 417.92/63.36 X860 = 417.92/63.36 kpair( 417.92/63.36 X862,X864)) & 417.92/63.36 in( 417.92/63.36 X864,X858))) & 417.92/63.36 in( 417.92/63.36 X862,X856))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X866, 417.92/63.36 X868,X870]: 417.92/63.36 (in( 417.92/63.36 X870, 417.92/63.36 cartprod( 417.92/63.36 X866,X868)) => 417.92/63.36 iskpair( 417.92/63.36 X870))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X872, 417.92/63.36 X874]: 417.92/63.36 (in( 417.92/63.36 X874, 417.92/63.36 setunion( 417.92/63.36 X872)) => 417.92/63.36 (?[X876]: 417.92/63.36 (in( 417.92/63.36 X874,X876) & 417.92/63.36 in( 417.92/63.36 X876,X872))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X878]: 417.92/63.36 subset( 417.92/63.36 setunion( 417.92/63.36 setadjoin( 417.92/63.36 X878, 417.92/63.36 emptyset)), 417.92/63.36 X878)) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X880]: 417.92/63.36 subset( 417.92/63.36 X880, 417.92/63.36 setunion( 417.92/63.36 setadjoin( 417.92/63.36 X880, 417.92/63.36 emptyset)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X882]: 417.92/63.36 (setunion( 417.92/63.36 setadjoin( 417.92/63.36 X882, 417.92/63.36 emptyset)) = 417.92/63.36 X882)) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X884, 417.92/63.36 X886:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 (( 417.92/63.36 ![X888]: 417.92/63.36 (in( 417.92/63.36 X888,X884) => 417.92/63.36 (![X890]: 417.92/63.36 (in( 417.92/63.36 X890,X884) => 417.92/63.36 (X886( 417.92/63.36 X888) => 417.92/63.36 (X886( 417.92/63.36 X890) => 417.92/63.36 (X888 = 417.92/63.36 X890))))))) => 417.92/63.36 (( 417.92/63.36 ?[X892]: 417.92/63.36 (X886( 417.92/63.36 X892) & 417.92/63.36 in( 417.92/63.36 X892,X884))) => 417.92/63.36 singleton( 417.92/63.36 dsetconstr( 417.92/63.36 X884, 417.92/63.36 ^[V_15]: 417.92/63.36 X886( 417.92/63.36 V_15)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X894, 417.92/63.36 X896:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 (ex1( 417.92/63.36 X894, 417.92/63.36 ^[V_16]: 417.92/63.36 X896( 417.92/63.36 V_16)) => 417.92/63.36 (?[X898]: 417.92/63.36 (X896( 417.92/63.36 X898) & 417.92/63.36 in( 417.92/63.36 X898,X894))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X900, 417.92/63.36 X902:( 417.92/63.36 ( 417.92/63.36 $i > $o)), 417.92/63.36 X904]: 417.92/63.36 (in( 417.92/63.36 X904,X900) => 417.92/63.36 (X902( 417.92/63.36 X904) => 417.92/63.36 (( 417.92/63.36 ![X906]: 417.92/63.36 (in( 417.92/63.36 X906,X900) => 417.92/63.36 (X902( 417.92/63.36 X906) => 417.92/63.36 (X906 = 417.92/63.36 X904)))) => 417.92/63.36 ex1( 417.92/63.36 X900, 417.92/63.36 ^[V_17]: 417.92/63.36 X902( 417.92/63.36 V_17)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X908, 417.92/63.36 X910:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 (( 417.92/63.36 ![X912]: 417.92/63.36 (in( 417.92/63.36 X912,X908) => 417.92/63.36 (![X914]: 417.92/63.36 (in( 417.92/63.36 X914,X908) => 417.92/63.36 (X910( 417.92/63.36 X912) => 417.92/63.36 (X910( 417.92/63.36 X914) => 417.92/63.36 (X912 = 417.92/63.36 X914))))))) => 417.92/63.36 (( 417.92/63.36 ?[X916]: 417.92/63.36 (X910( 417.92/63.36 X916) & 417.92/63.36 in( 417.92/63.36 X916,X908))) => 417.92/63.36 ex1( 417.92/63.36 X908, 417.92/63.36 ^[V_18]: 417.92/63.36 X910( 417.92/63.36 V_18))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X918, 417.92/63.36 X920]: 417.92/63.36 (( 417.92/63.36 setadjoin( 417.92/63.36 X918, 417.92/63.36 emptyset) = 417.92/63.36 setadjoin( 417.92/63.36 X920, 417.92/63.36 emptyset)) => 417.92/63.36 (X918 = 417.92/63.36 X920))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X922, 417.92/63.36 X924,X926]: 417.92/63.36 (in( 417.92/63.36 setadjoin( 417.92/63.36 X926, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X922, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X922, 417.92/63.36 setadjoin( 417.92/63.36 X924, 417.92/63.36 emptyset)), 417.92/63.36 emptyset))) => 417.92/63.36 (X922 = 417.92/63.36 X926))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X928]: 417.92/63.36 (iskpair( 417.92/63.36 X928) => 417.92/63.36 singleton( 417.92/63.36 dsetconstr( 417.92/63.36 setunion( 417.92/63.36 X928), 417.92/63.36 ^[V_19]: 417.92/63.36 in( 417.92/63.36 setadjoin( 417.92/63.36 V_19, 417.92/63.36 emptyset), 417.92/63.36 X928))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X930]: 417.92/63.36 (singleton( 417.92/63.36 X930) => 417.92/63.36 in( 417.92/63.36 setunion( 417.92/63.36 X930), 417.92/63.36 X930))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X932, 417.92/63.36 X934]: 417.92/63.36 (kfst( 417.92/63.36 kpair( 417.92/63.36 X932,X934)) = 417.92/63.36 X932)) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X936, 417.92/63.36 X938,X940]: 417.92/63.36 (in( 417.92/63.36 X940, 417.92/63.36 cartprod( 417.92/63.36 X936,X938)) => 417.92/63.36 in( 417.92/63.36 kfst( 417.92/63.36 X940), 417.92/63.36 X936))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X942, 417.92/63.36 X944, 417.92/63.36 X946,X948]: 417.92/63.36 (( 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X942, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X942, 417.92/63.36 setadjoin( 417.92/63.36 X944, 417.92/63.36 emptyset)), 417.92/63.36 emptyset)) = 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X946, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X946, 417.92/63.36 setadjoin( 417.92/63.36 X948, 417.92/63.36 emptyset)), 417.92/63.36 emptyset))) => 417.92/63.36 (X942 = 417.92/63.36 X946))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X950, 417.92/63.36 X952, 417.92/63.36 X954,X956]: 417.92/63.36 (( 417.92/63.36 kpair( 417.92/63.36 X950,X952) = 417.92/63.36 kpair( 417.92/63.36 X954,X956)) => 417.92/63.36 (X950 = 417.92/63.36 X954))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X958, 417.92/63.36 X960]: 417.92/63.36 (( 417.92/63.36 X958 = 417.92/63.36 X960) => 417.92/63.36 (setadjoin( 417.92/63.36 X958, 417.92/63.36 setadjoin( 417.92/63.36 X960, 417.92/63.36 emptyset)) = 417.92/63.36 setadjoin( 417.92/63.36 X958, 417.92/63.36 emptyset)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X962, 417.92/63.36 X964]: 417.92/63.36 (( 417.92/63.36 X962 = 417.92/63.36 X964) => 417.92/63.36 (setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X962, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X962, 417.92/63.36 setadjoin( 417.92/63.36 X964, 417.92/63.36 emptyset)), 417.92/63.36 emptyset)) = 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X962, 417.92/63.36 emptyset), 417.92/63.36 emptyset)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X966, 417.92/63.36 X968, 417.92/63.36 X970,X972]: 417.92/63.36 (( 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X966, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X966, 417.92/63.36 setadjoin( 417.92/63.36 X968, 417.92/63.36 emptyset)), 417.92/63.36 emptyset)) = 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X970, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X970, 417.92/63.36 setadjoin( 417.92/63.36 X972, 417.92/63.36 emptyset)), 417.92/63.36 emptyset))) => 417.92/63.36 (( 417.92/63.36 X970 = 417.92/63.36 X972) => 417.92/63.36 (X968 = 417.92/63.36 X972)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X974, 417.92/63.36 X976,X978]: 417.92/63.36 (( 417.92/63.36 setadjoin( 417.92/63.36 X974, 417.92/63.36 setadjoin( 417.92/63.36 X976, 417.92/63.36 emptyset)) = 417.92/63.36 setadjoin( 417.92/63.36 X978, 417.92/63.36 emptyset)) => 417.92/63.36 (X974 = 417.92/63.36 X976))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X980, 417.92/63.36 X982, 417.92/63.36 X984,X986]: 417.92/63.36 (( 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X980, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X980, 417.92/63.36 setadjoin( 417.92/63.36 X982, 417.92/63.36 emptyset)), 417.92/63.36 emptyset)) = 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X984, 417.92/63.36 emptyset), 417.92/63.36 setadjoin( 417.92/63.36 setadjoin( 417.92/63.36 X984, 417.92/63.36 setadjoin( 417.92/63.36 X986, 417.92/63.36 emptyset)), 417.92/63.36 emptyset))) => 417.92/63.36 (X982 = 417.92/63.36 X986))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X988, 417.92/63.36 X990, 417.92/63.36 X992,X994]: 417.92/63.36 (( 417.92/63.36 kpair( 417.92/63.36 X988,X990) = 417.92/63.36 kpair( 417.92/63.36 X992,X994)) => 417.92/63.36 (X990 = 417.92/63.36 X994))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X996]: 417.92/63.36 (iskpair( 417.92/63.36 X996) => 417.92/63.36 singleton( 417.92/63.36 dsetconstr( 417.92/63.36 setunion( 417.92/63.36 X996), 417.92/63.36 ^[V_20]: 417.92/63.36 (X996 = 417.92/63.36 kpair( 417.92/63.36 kfst( 417.92/63.36 X996), 417.92/63.36 V_20)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X998, 417.92/63.36 X1000]: 417.92/63.36 (ksnd( 417.92/63.36 kpair( 417.92/63.36 X998, 417.92/63.36 X1000)) = 417.92/63.36 X1000)) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1002]: 417.92/63.36 (iskpair( 417.92/63.36 X1002) => 417.92/63.36 (kpair( 417.92/63.36 kfst( 417.92/63.36 X1002), 417.92/63.36 ksnd( 417.92/63.36 X1002)) = 417.92/63.36 X1002))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1004, 417.92/63.36 X1006, 417.92/63.36 X1008]: 417.92/63.36 (in( 417.92/63.36 X1008, 417.92/63.36 cartprod( 417.92/63.36 X1004, 417.92/63.36 X1006)) => 417.92/63.36 in( 417.92/63.36 ksnd( 417.92/63.36 X1008), 417.92/63.36 X1006))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1010, 417.92/63.36 X1012, 417.92/63.36 X1014, 417.92/63.36 X1016]: 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1014, 417.92/63.36 X1016), 417.92/63.36 cartprod( 417.92/63.36 X1010, 417.92/63.36 X1012)) => 417.92/63.36 in( 417.92/63.36 X1014, 417.92/63.36 X1010))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1018, 417.92/63.36 X1020, 417.92/63.36 X1022, 417.92/63.36 X1024]: 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1022, 417.92/63.36 X1024), 417.92/63.36 cartprod( 417.92/63.36 X1018, 417.92/63.36 X1020)) => 417.92/63.36 in( 417.92/63.36 X1024, 417.92/63.36 X1020))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1026, 417.92/63.36 X1028, 417.92/63.36 X1030]: 417.92/63.36 (in( 417.92/63.36 X1030, 417.92/63.36 X1026) => 417.92/63.36 (![X1032]: 417.92/63.36 (in( 417.92/63.36 X1032, 417.92/63.36 X1028) => 417.92/63.36 (kpair( 417.92/63.36 X1030, 417.92/63.36 X1032) = 417.92/63.36 kpair( 417.92/63.36 X1030, 417.92/63.36 X1032)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1034, 417.92/63.36 X1036, 417.92/63.36 X1038]: 417.92/63.36 (in( 417.92/63.36 X1038, 417.92/63.36 X1034) => 417.92/63.36 (![X1040]: 417.92/63.36 (in( 417.92/63.36 X1040, 417.92/63.36 X1036) => 417.92/63.36 (kfst( 417.92/63.36 kpair( 417.92/63.36 X1038, 417.92/63.36 X1040)) = 417.92/63.36 X1038))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1042, 417.92/63.36 X1044, 417.92/63.36 X1046]: 417.92/63.36 (in( 417.92/63.36 X1046, 417.92/63.36 X1042) => 417.92/63.36 (![X1048]: 417.92/63.36 (in( 417.92/63.36 X1048, 417.92/63.36 X1044) => 417.92/63.36 (ksnd( 417.92/63.36 kpair( 417.92/63.36 X1046, 417.92/63.36 X1048)) = 417.92/63.36 X1048))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1050, 417.92/63.36 X1052, 417.92/63.36 X1054]: 417.92/63.36 (in( 417.92/63.36 X1054, 417.92/63.36 cartprod( 417.92/63.36 X1050, 417.92/63.36 X1052)) => 417.92/63.36 (kpair( 417.92/63.36 kfst( 417.92/63.36 X1054), 417.92/63.36 ksnd( 417.92/63.36 X1054)) = 417.92/63.36 X1054))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1056, 417.92/63.36 X1058, 417.92/63.36 X1060:( 417.92/63.36 ($i * $i) > 417.92/63.36 $o),X1062]: 417.92/63.36 (in( 417.92/63.36 X1062, 417.92/63.36 X1056) => 417.92/63.36 (![X1064]: 417.92/63.36 (in( 417.92/63.36 X1064, 417.92/63.36 X1058) => 417.92/63.36 (X1060( 417.92/63.36 X1062, 417.92/63.36 X1064) => 417.92/63.36 in( 417.92/63.36 kpair( 417.92/63.36 X1062, 417.92/63.36 X1064), 417.92/63.36 dpsetconstr( 417.92/63.36 X1056, 417.92/63.36 X1058, 417.92/63.36 ^[V_21, 417.92/63.36 V_22]: 417.92/63.36 X1060( 417.92/63.36 V_21,V_22)))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1066, 417.92/63.36 X1068, 417.92/63.36 X1070:( 417.92/63.36 ($i * $i) > 417.92/63.36 $o)]: 417.92/63.36 subset( 417.92/63.36 dpsetconstr( 417.92/63.36 X1066, 417.92/63.36 X1068, 417.92/63.36 ^[V_23, 417.92/63.36 V_24]: 417.92/63.36 X1070( 417.92/63.36 V_23,V_24)), 417.92/63.36 cartprod( 417.92/63.36 X1066, 417.92/63.36 X1068))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1072, 417.92/63.36 X1074, 417.92/63.36 X1076:( 417.92/63.36 ($i * $i) > 417.92/63.36 $o)]: 417.92/63.36 subset( 417.92/63.36 dpsetconstr( 417.92/63.36 X1072, 417.92/63.36 X1074, 417.92/63.36 ^[V_25, 417.92/63.36 V_26]: 417.92/63.36 X1076( 417.92/63.36 V_25,V_26)), 417.92/63.36 cartprod( 417.92/63.36 X1072, 417.92/63.36 X1074))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1078, 417.92/63.36 X1080, 417.92/63.36 X1082:( 417.92/63.36 ($i * $i) > 417.92/63.36 $o),X1084]: 417.92/63.36 (in( 417.92/63.36 X1084, 417.92/63.36 X1078) => 417.92/63.36 (![X1086]: 417.92/63.36 (in( 417.92/63.36 X1086, 417.92/63.36 X1080) => 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1084, 417.92/63.36 X1086), 417.92/63.36 dpsetconstr( 417.92/63.36 X1078, 417.92/63.36 X1080, 417.92/63.36 ^[V_27, 417.92/63.36 V_28]: 417.92/63.36 X1082( 417.92/63.36 V_27,V_28))) => 417.92/63.36 X1082( 417.92/63.36 X1084, 417.92/63.36 X1086)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1088, 417.92/63.36 X1090, 417.92/63.36 X1092:( 417.92/63.36 ($i * $i) > 417.92/63.36 $o), 417.92/63.36 X1094, 417.92/63.36 X1096]: 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1094, 417.92/63.36 X1096), 417.92/63.36 dpsetconstr( 417.92/63.36 X1088, 417.92/63.36 X1090, 417.92/63.36 ^[V_29, 417.92/63.36 V_30]: 417.92/63.36 X1092( 417.92/63.36 V_29,V_30))) => 417.92/63.36 in( 417.92/63.36 X1094, 417.92/63.36 X1088))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1098, 417.92/63.36 X1100, 417.92/63.36 X1102:( 417.92/63.36 ($i * $i) > 417.92/63.36 $o), 417.92/63.36 X1104, 417.92/63.36 X1106]: 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1104, 417.92/63.36 X1106), 417.92/63.36 dpsetconstr( 417.92/63.36 X1098, 417.92/63.36 X1100, 417.92/63.36 ^[V_31, 417.92/63.36 V_32]: 417.92/63.36 X1102( 417.92/63.36 V_31,V_32))) => 417.92/63.36 in( 417.92/63.36 X1106, 417.92/63.36 X1100))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1108, 417.92/63.36 X1110, 417.92/63.36 X1112:( 417.92/63.36 ($i * $i) > 417.92/63.36 $o), 417.92/63.36 X1114, 417.92/63.36 X1116]: 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1114, 417.92/63.36 X1116), 417.92/63.36 dpsetconstr( 417.92/63.36 X1108, 417.92/63.36 X1110, 417.92/63.36 ^[V_33, 417.92/63.36 V_34]: 417.92/63.36 X1112( 417.92/63.36 V_33,V_34))) => 417.92/63.36 X1112( 417.92/63.36 X1114, 417.92/63.36 X1116))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1118, 417.92/63.36 X1120, 417.92/63.36 X1122]: 417.92/63.36 (func( 417.92/63.36 X1118, 417.92/63.36 X1120, 417.92/63.36 X1122) => 417.92/63.36 (![X1124]: 417.92/63.36 (in( 417.92/63.36 X1124, 417.92/63.36 X1118) => 417.92/63.36 singleton( 417.92/63.36 dsetconstr( 417.92/63.36 X1120, 417.92/63.36 ^[V_35]: 417.92/63.36 in( 417.92/63.36 kpair( 417.92/63.36 X1124, 417.92/63.36 V_35), 417.92/63.36 X1122))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1126, 417.92/63.36 X1128, 417.92/63.36 X1130]: 417.92/63.36 (func( 417.92/63.36 X1126, 417.92/63.36 X1128, 417.92/63.36 X1130) => 417.92/63.36 (![X1132]: 417.92/63.36 (in( 417.92/63.36 X1132, 417.92/63.36 X1126) => 417.92/63.36 in( 417.92/63.36 setunion( 417.92/63.36 dsetconstr( 417.92/63.36 X1128, 417.92/63.36 ^[V_36]: 417.92/63.36 in( 417.92/63.36 kpair( 417.92/63.36 X1132, 417.92/63.36 V_36), 417.92/63.36 X1130))), 417.92/63.36 X1128))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1134, 417.92/63.36 X1136, 417.92/63.36 X1138]: 417.92/63.36 (func( 417.92/63.36 X1134, 417.92/63.36 X1136, 417.92/63.36 X1138) => 417.92/63.36 (![X1140]: 417.92/63.36 (in( 417.92/63.36 X1140, 417.92/63.36 X1134) => 417.92/63.36 in( 417.92/63.36 ap( 417.92/63.36 X1134, 417.92/63.36 X1136, 417.92/63.36 X1138, 417.92/63.36 X1140), 417.92/63.36 X1136))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1142, 417.92/63.36 X1144, 417.92/63.36 X1146]: 417.92/63.36 (in( 417.92/63.36 X1146, 417.92/63.36 funcSet( 417.92/63.36 X1142, 417.92/63.36 X1144)) => 417.92/63.36 func( 417.92/63.36 X1142, 417.92/63.36 X1144, 417.92/63.36 X1146))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1148, 417.92/63.36 X1150, 417.92/63.36 X1152]: 417.92/63.36 (in( 417.92/63.36 X1152, 417.92/63.36 funcSet( 417.92/63.36 X1148, 417.92/63.36 X1150)) => 417.92/63.36 (![X1154]: 417.92/63.36 (in( 417.92/63.36 X1154, 417.92/63.36 X1148) => 417.92/63.36 in( 417.92/63.36 ap( 417.92/63.36 X1148, 417.92/63.36 X1150, 417.92/63.36 X1152, 417.92/63.36 X1154), 417.92/63.36 X1150))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1156, 417.92/63.36 X1158, 417.92/63.36 X1160]: 417.92/63.36 (func( 417.92/63.36 X1156, 417.92/63.36 X1158, 417.92/63.36 X1160) => 417.92/63.36 in( 417.92/63.36 X1160, 417.92/63.36 funcSet( 417.92/63.36 X1156, 417.92/63.36 X1158)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1162, 417.92/63.36 X1164, 417.92/63.36 X1166:( 417.92/63.36 ( 417.92/63.36 $i > $i))]: 417.92/63.36 (( 417.92/63.36 ![X1168]: 417.92/63.36 (in( 417.92/63.36 X1168, 417.92/63.36 X1162) => 417.92/63.36 in( 417.92/63.36 X1166( 417.92/63.36 X1168), 417.92/63.36 X1164))) => 417.92/63.36 func( 417.92/63.36 X1162, 417.92/63.36 X1164, 417.92/63.36 dpsetconstr( 417.92/63.36 X1162, 417.92/63.36 X1164, 417.92/63.36 ^[V_37, 417.92/63.36 V_38]: 417.92/63.36 (X1166( 417.92/63.36 V_37) = 417.92/63.36 V_38))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1170, 417.92/63.36 X1172, 417.92/63.36 X1174:( 417.92/63.36 ( 417.92/63.36 $i > $i))]: 417.92/63.36 (( 417.92/63.36 ![X1176]: 417.92/63.36 (in( 417.92/63.36 X1176, 417.92/63.36 X1170) => 417.92/63.36 in( 417.92/63.36 X1174( 417.92/63.36 X1176), 417.92/63.36 X1172))) => 417.92/63.36 func( 417.92/63.36 X1170, 417.92/63.36 X1172, 417.92/63.36 lam( 417.92/63.36 X1170, 417.92/63.36 X1172, 417.92/63.36 ^[V_39]: 417.92/63.36 X1174( 417.92/63.36 V_39))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1178, 417.92/63.36 X1180, 417.92/63.36 X1182:( 417.92/63.36 ( 417.92/63.36 $i > $i))]: 417.92/63.36 (( 417.92/63.36 ![X1184]: 417.92/63.36 (in( 417.92/63.36 X1184, 417.92/63.36 X1178) => 417.92/63.36 in( 417.92/63.36 X1182( 417.92/63.36 X1184), 417.92/63.36 X1180))) => 417.92/63.36 in( 417.92/63.36 lam( 417.92/63.36 X1178, 417.92/63.36 X1180, 417.92/63.36 ^[V_40]: 417.92/63.36 X1182( 417.92/63.36 V_40)), 417.92/63.36 funcSet( 417.92/63.36 X1178, 417.92/63.36 X1180)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1186, 417.92/63.36 X1188, 417.92/63.36 X1190]: 417.92/63.36 (subset( 417.92/63.36 X1190, 417.92/63.36 cartprod( 417.92/63.36 X1186, 417.92/63.36 X1188)) => 417.92/63.36 (![X1192:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 (( 417.92/63.36 ![X1194]: 417.92/63.36 (in( 417.92/63.36 X1194, 417.92/63.36 X1186) => 417.92/63.36 (![X1196]: 417.92/63.36 (in( 417.92/63.36 X1196, 417.92/63.36 X1188) => 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1194, 417.92/63.36 X1196), 417.92/63.36 X1190) => 417.92/63.36 X1192( 417.92/63.36 kpair( 417.92/63.36 X1194, 417.92/63.36 X1196))))))) => 417.92/63.36 (![X1198]: 417.92/63.36 (in( 417.92/63.36 X1198, 417.92/63.36 X1190) => 417.92/63.36 X1192( 417.92/63.36 X1198))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1200, 417.92/63.36 X1202, 417.92/63.36 X1204]: 417.92/63.36 (subset( 417.92/63.36 X1204, 417.92/63.36 cartprod( 417.92/63.36 X1200, 417.92/63.36 X1202)) => 417.92/63.36 (![X1206:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 (( 417.92/63.36 ![X1208]: 417.92/63.36 (in( 417.92/63.36 X1208, 417.92/63.36 X1200) => 417.92/63.36 (![X1210]: 417.92/63.36 (in( 417.92/63.36 X1210, 417.92/63.36 X1202) => 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1208, 417.92/63.36 X1210), 417.92/63.36 X1204) => 417.92/63.36 X1206( 417.92/63.36 kpair( 417.92/63.36 X1208, 417.92/63.36 X1210))))))) => 417.92/63.36 (![X1212]: 417.92/63.36 (in( 417.92/63.36 X1212, 417.92/63.36 X1204) => 417.92/63.36 X1206( 417.92/63.36 X1212))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1214, 417.92/63.36 X1216:( 417.92/63.36 ( 417.92/63.36 $i > $o))]: 417.92/63.36 (ex1( 417.92/63.36 X1214, 417.92/63.36 ^[V_41]: 417.92/63.36 X1216( 417.92/63.36 V_41)) => 417.92/63.36 (![X1218]: 417.92/63.36 (in( 417.92/63.36 X1218, 417.92/63.36 X1214) => 417.92/63.36 (![X1220]: 417.92/63.36 (in( 417.92/63.36 X1220, 417.92/63.36 X1214) => 417.92/63.36 (X1216( 417.92/63.36 X1218) => 417.92/63.36 (X1216( 417.92/63.36 X1220) => 417.92/63.36 (X1218 = 417.92/63.36 X1220))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1222, 417.92/63.36 X1224, 417.92/63.36 X1226]: 417.92/63.36 (func( 417.92/63.36 X1222, 417.92/63.36 X1224, 417.92/63.36 X1226) => 417.92/63.36 (![X1228]: 417.92/63.36 (in( 417.92/63.36 X1228, 417.92/63.36 X1222) => 417.92/63.36 in( 417.92/63.36 kpair( 417.92/63.36 X1228, 417.92/63.36 ap( 417.92/63.36 X1222, 417.92/63.36 X1224, 417.92/63.36 X1226, 417.92/63.36 X1228)), 417.92/63.36 X1226))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1230, 417.92/63.36 X1232, 417.92/63.36 X1234]: 417.92/63.36 (in( 417.92/63.36 X1234, 417.92/63.36 funcSet( 417.92/63.36 X1230, 417.92/63.36 X1232)) => 417.92/63.36 (![X1236]: 417.92/63.36 (in( 417.92/63.36 X1236, 417.92/63.36 X1230) => 417.92/63.36 in( 417.92/63.36 kpair( 417.92/63.36 X1236, 417.92/63.36 ap( 417.92/63.36 X1230, 417.92/63.36 X1232, 417.92/63.36 X1234, 417.92/63.36 X1236)), 417.92/63.36 X1234))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1238, 417.92/63.36 X1240, 417.92/63.36 X1242]: 417.92/63.36 (func( 417.92/63.36 X1238, 417.92/63.36 X1240, 417.92/63.36 X1242) => 417.92/63.36 (![X1244]: 417.92/63.36 (in( 417.92/63.36 X1244, 417.92/63.36 X1238) => 417.92/63.36 (![X1246]: 417.92/63.36 (in( 417.92/63.36 X1246, 417.92/63.36 X1240) => 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1244, 417.92/63.36 X1246), 417.92/63.36 X1242) => 417.92/63.36 (ap( 417.92/63.36 X1238, 417.92/63.36 X1240, 417.92/63.36 X1242, 417.92/63.36 X1244) = 417.92/63.36 X1246)))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1248, 417.92/63.36 X1250, 417.92/63.36 X1252]: 417.92/63.36 (func( 417.92/63.36 X1248, 417.92/63.36 X1250, 417.92/63.36 X1252) => 417.92/63.36 (![X1254]: 417.92/63.36 (func( 417.92/63.36 X1248, 417.92/63.36 X1250, 417.92/63.36 X1254) => 417.92/63.36 (( 417.92/63.36 ![X1256]: 417.92/63.36 (in( 417.92/63.36 X1256, 417.92/63.36 X1248) => 417.92/63.36 (ap( 417.92/63.36 X1248, 417.92/63.36 X1250, 417.92/63.36 X1252, 417.92/63.36 X1256) = 417.92/63.36 ap( 417.92/63.36 X1248, 417.92/63.36 X1250, 417.92/63.36 X1254, 417.92/63.36 X1256)))) => 417.92/63.36 (![X1258]: 417.92/63.36 (in( 417.92/63.36 X1258, 417.92/63.36 X1248) => 417.92/63.36 (![X1260]: 417.92/63.36 (in( 417.92/63.36 X1260, 417.92/63.36 X1250) => 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1258, 417.92/63.36 X1260), 417.92/63.36 X1254) => 417.92/63.36 in( 417.92/63.36 kpair( 417.92/63.36 X1258, 417.92/63.36 X1260), 417.92/63.36 X1252))))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1262, 417.92/63.36 X1264, 417.92/63.36 X1266]: 417.92/63.36 (in( 417.92/63.36 X1266, 417.92/63.36 funcSet( 417.92/63.36 X1262, 417.92/63.36 X1264)) => 417.92/63.36 (![X1268]: 417.92/63.36 (in( 417.92/63.36 X1268, 417.92/63.36 X1262) => 417.92/63.36 (![X1270]: 417.92/63.36 (in( 417.92/63.36 X1270, 417.92/63.36 X1264) => 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1268, 417.92/63.36 X1270), 417.92/63.36 X1266) => 417.92/63.36 (ap( 417.92/63.36 X1262, 417.92/63.36 X1264, 417.92/63.36 X1266, 417.92/63.36 X1268) = 417.92/63.36 X1270)))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1272, 417.92/63.36 X1274, 417.92/63.36 X1276]: 417.92/63.36 (subset( 417.92/63.36 X1276, 417.92/63.36 cartprod( 417.92/63.36 X1272, 417.92/63.36 X1274)) => 417.92/63.36 (![X1278]: 417.92/63.36 (subset( 417.92/63.36 X1278, 417.92/63.36 cartprod( 417.92/63.36 X1272, 417.92/63.36 X1274)) => 417.92/63.36 (( 417.92/63.36 ![X1280]: 417.92/63.36 (in( 417.92/63.36 X1280, 417.92/63.36 X1272) => 417.92/63.36 (![X1282]: 417.92/63.36 (in( 417.92/63.36 X1282, 417.92/63.36 X1274) => 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1280, 417.92/63.36 X1282), 417.92/63.36 X1276) => 417.92/63.36 in( 417.92/63.36 kpair( 417.92/63.36 X1280, 417.92/63.36 X1282), 417.92/63.36 X1278)))))) => 417.92/63.36 subset( 417.92/63.36 X1276, 417.92/63.36 X1278)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1284, 417.92/63.36 X1286, 417.92/63.36 X1288]: 417.92/63.36 (subset( 417.92/63.36 X1288, 417.92/63.36 cartprod( 417.92/63.36 X1284, 417.92/63.36 X1286)) => 417.92/63.36 (![X1290]: 417.92/63.36 (subset( 417.92/63.36 X1290, 417.92/63.36 cartprod( 417.92/63.36 X1284, 417.92/63.36 X1286)) => 417.92/63.36 (( 417.92/63.36 ![X1292]: 417.92/63.36 (in( 417.92/63.36 X1292, 417.92/63.36 X1284) => 417.92/63.36 (![X1294]: 417.92/63.36 (in( 417.92/63.36 X1294, 417.92/63.36 X1286) => 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1292, 417.92/63.36 X1294), 417.92/63.36 X1288) => 417.92/63.36 in( 417.92/63.36 kpair( 417.92/63.36 X1292, 417.92/63.36 X1294), 417.92/63.36 X1290)))))) => 417.92/63.36 (( 417.92/63.36 ![X1296]: 417.92/63.36 (in( 417.92/63.36 X1296, 417.92/63.36 X1284) => 417.92/63.36 (![X1298]: 417.92/63.36 (in( 417.92/63.36 X1298, 417.92/63.36 X1286) => 417.92/63.36 (in( 417.92/63.36 kpair( 417.92/63.36 X1296, 417.92/63.36 X1298), 417.92/63.36 X1290) => 417.92/63.36 in( 417.92/63.36 kpair( 417.92/63.36 X1296, 417.92/63.36 X1298), 417.92/63.36 X1288)))))) => 417.92/63.36 (X1288 = 417.92/63.36 X1290))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1300, 417.92/63.36 X1302, 417.92/63.36 X1304]: 417.92/63.36 (func( 417.92/63.36 X1300, 417.92/63.36 X1302, 417.92/63.36 X1304) => 417.92/63.36 (![X1306]: 417.92/63.36 (func( 417.92/63.36 X1300, 417.92/63.36 X1302, 417.92/63.36 X1306) => 417.92/63.36 (( 417.92/63.36 ![X1308]: 417.92/63.36 (in( 417.92/63.36 X1308, 417.92/63.36 X1300) => 417.92/63.36 (ap( 417.92/63.36 X1300, 417.92/63.36 X1302, 417.92/63.36 X1304, 417.92/63.36 X1308) = 417.92/63.36 ap( 417.92/63.36 X1300, 417.92/63.36 X1302, 417.92/63.36 X1306, 417.92/63.36 X1308)))) => 417.92/63.36 (X1304 = 417.92/63.36 X1306)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1310, 417.92/63.36 X1312, 417.92/63.36 X1314]: 417.92/63.36 (in( 417.92/63.36 X1314, 417.92/63.36 funcSet( 417.92/63.36 X1310, 417.92/63.36 X1312)) => 417.92/63.36 (![X1316]: 417.92/63.36 (in( 417.92/63.36 X1316, 417.92/63.36 funcSet( 417.92/63.36 X1310, 417.92/63.36 X1312)) => 417.92/63.36 (( 417.92/63.36 ![X1318]: 417.92/63.36 (in( 417.92/63.36 X1318, 417.92/63.36 X1310) => 417.92/63.36 (ap( 417.92/63.36 X1310, 417.92/63.36 X1312, 417.92/63.36 X1314, 417.92/63.36 X1318) = 417.92/63.36 ap( 417.92/63.36 X1310, 417.92/63.36 X1312, 417.92/63.36 X1316, 417.92/63.36 X1318)))) => 417.92/63.36 (X1314 = 417.92/63.36 X1316)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1320, 417.92/63.36 X1322, 417.92/63.36 X1324]: 417.92/63.36 (in( 417.92/63.36 X1324, 417.92/63.36 funcSet( 417.92/63.36 X1320, 417.92/63.36 X1322)) => 417.92/63.36 (![X1326]: 417.92/63.36 (in( 417.92/63.36 X1326, 417.92/63.36 X1320) => 417.92/63.36 (ap( 417.92/63.36 X1320, 417.92/63.36 X1322, 417.92/63.36 X1324, 417.92/63.36 X1326) = 417.92/63.36 ap( 417.92/63.36 X1320, 417.92/63.36 X1322, 417.92/63.36 X1324, 417.92/63.36 X1326)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1328, 417.92/63.36 X1330, 417.92/63.36 X1332]: 417.92/63.36 (func( 417.92/63.36 X1328, 417.92/63.36 X1330, 417.92/63.36 X1332) => 417.92/63.36 (![X1334]: 417.92/63.36 (in( 417.92/63.36 X1334, 417.92/63.36 X1328) => 417.92/63.36 (ap( 417.92/63.36 X1328, 417.92/63.36 X1330, 417.92/63.36 X1332, 417.92/63.36 X1334) = 417.92/63.36 ap( 417.92/63.36 X1328, 417.92/63.36 X1330, 417.92/63.36 X1332, 417.92/63.36 X1334)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1336, 417.92/63.36 X1338, 417.92/63.36 X1340:( 417.92/63.36 ( 417.92/63.36 $i > $i))]: 417.92/63.36 (( 417.92/63.36 ![X1342]: 417.92/63.36 (in( 417.92/63.36 X1342, 417.92/63.36 X1336) => 417.92/63.36 in( 417.92/63.36 X1340( 417.92/63.36 X1342), 417.92/63.36 X1338))) => 417.92/63.36 (![X1344]: 417.92/63.36 (in( 417.92/63.36 X1344, 417.92/63.36 X1336) => 417.92/63.36 (ap( 417.92/63.36 X1336, 417.92/63.36 X1338, 417.92/63.36 lam( 417.92/63.36 X1336, 417.92/63.36 X1338, 417.92/63.36 ^[V_42]: 417.92/63.36 X1340( 417.92/63.36 V_42)), 417.92/63.36 X1344) = 417.92/63.36 X1340( 417.92/63.36 X1344)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1346, 417.92/63.36 X1348, 417.92/63.36 X1350]: 417.92/63.36 (func( 417.92/63.36 X1346, 417.92/63.36 X1348, 417.92/63.36 X1350) => 417.92/63.36 (lam( 417.92/63.36 X1346, 417.92/63.36 X1348, 417.92/63.36 ^[V_43]: 417.92/63.36 ap( 417.92/63.36 X1346, 417.92/63.36 X1348, 417.92/63.36 X1350, 417.92/63.36 V_43)) = 417.92/63.36 X1350))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1352, 417.92/63.36 X1354, 417.92/63.36 X1356:( 417.92/63.36 ( 417.92/63.36 $i > $i))]: 417.92/63.36 (( 417.92/63.36 ![X1358]: 417.92/63.36 (in( 417.92/63.36 X1358, 417.92/63.36 X1352) => 417.92/63.36 in( 417.92/63.36 X1356( 417.92/63.36 X1358), 417.92/63.36 X1354))) => 417.92/63.36 (lam( 417.92/63.36 X1352, 417.92/63.36 X1354, 417.92/63.36 ^[V_44]: 417.92/63.36 X1356( 417.92/63.36 V_44)) = 417.92/63.36 lam( 417.92/63.36 X1352, 417.92/63.36 X1354, 417.92/63.36 ^[V_45]: 417.92/63.36 X1356( 417.92/63.36 V_45))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1360, 417.92/63.36 X1362, 417.92/63.36 X1364:( 417.92/63.36 ( 417.92/63.36 $i > $i))]: 417.92/63.36 (( 417.92/63.36 ![X1366]: 417.92/63.36 (in( 417.92/63.36 X1366, 417.92/63.36 X1360) => 417.92/63.36 in( 417.92/63.36 X1364( 417.92/63.36 X1366), 417.92/63.36 X1362))) => 417.92/63.36 (![X1368]: 417.92/63.36 (in( 417.92/63.36 X1368, 417.92/63.36 X1360) => 417.92/63.36 (ap( 417.92/63.36 X1360, 417.92/63.36 X1362, 417.92/63.36 lam( 417.92/63.36 X1360, 417.92/63.36 X1362, 417.92/63.36 ^[V_46]: 417.92/63.36 X1364( 417.92/63.36 V_46)), 417.92/63.36 X1368) = 417.92/63.36 X1364( 417.92/63.36 X1368)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1370, 417.92/63.36 X1372, 417.92/63.36 X1374]: 417.92/63.36 (in( 417.92/63.36 X1374, 417.92/63.36 funcSet( 417.92/63.36 X1370, 417.92/63.36 X1372)) => 417.92/63.36 (lam( 417.92/63.36 X1370, 417.92/63.36 X1372, 417.92/63.36 ^[V_47]: 417.92/63.36 ap( 417.92/63.36 X1370, 417.92/63.36 X1372, 417.92/63.36 X1374, 417.92/63.36 V_47)) = 417.92/63.36 X1374))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1376, 417.92/63.36 X1378:$o, 417.92/63.36 X1380]: 417.92/63.36 (in( 417.92/63.36 X1380, 417.92/63.36 X1376) => 417.92/63.36 (![X1382]: 417.92/63.36 (in( 417.92/63.36 X1382, 417.92/63.36 X1376) => 417.92/63.36 (( 417.92/63.36 ~X1378) => 417.92/63.36 in( 417.92/63.36 X1382, 417.92/63.36 dsetconstr( 417.92/63.36 X1376, 417.92/63.36 ^[V_48]: 417.92/63.36 (( 417.92/63.36 ( 417.92/63.36 V_48 = 417.92/63.36 X1382) & 417.92/63.36 ( 417.92/63.36 ~X1378)) | 417.92/63.36 (( 417.92/63.36 V_48 = 417.92/63.36 X1380) & 417.92/63.36 X1378))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1384, 417.92/63.36 X1386:$o, 417.92/63.36 X1388]: 417.92/63.36 (in( 417.92/63.36 X1388, 417.92/63.36 X1384) => 417.92/63.36 (![X1390]: 417.92/63.36 (in( 417.92/63.36 X1390, 417.92/63.36 X1384) => 417.92/63.36 (( 417.92/63.36 ~X1386) => 417.92/63.36 (dsetconstr( 417.92/63.36 X1384, 417.92/63.36 ^[V_49]: 417.92/63.36 (( 417.92/63.36 ( 417.92/63.36 V_49 = 417.92/63.36 X1390) & 417.92/63.36 ( 417.92/63.36 ~X1386)) | 417.92/63.36 (( 417.92/63.36 V_49 = 417.92/63.36 X1388) & 417.92/63.36 X1386))) = 417.92/63.36 setadjoin( 417.92/63.36 X1390, 417.92/63.36 emptyset))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1392, 417.92/63.36 X1394:$o, 417.92/63.36 X1396]: 417.92/63.36 (in( 417.92/63.36 X1396, 417.92/63.36 X1392) => 417.92/63.36 (![X1398]: 417.92/63.36 (in( 417.92/63.36 X1398, 417.92/63.36 X1392) => 417.92/63.36 (X1394 => 417.92/63.36 in( 417.92/63.36 X1396, 417.92/63.36 dsetconstr( 417.92/63.36 X1392, 417.92/63.36 ^[V_50]: 417.92/63.36 (( 417.92/63.36 ( 417.92/63.36 V_50 = 417.92/63.36 X1398) & 417.92/63.36 ( 417.92/63.36 ~X1394)) | 417.92/63.36 (( 417.92/63.36 V_50 = 417.92/63.36 X1396) & 417.92/63.36 X1394))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1400, 417.92/63.36 X1402:$o, 417.92/63.36 X1404]: 417.92/63.36 (in( 417.92/63.36 X1404, 417.92/63.36 X1400) => 417.92/63.36 (![X1406]: 417.92/63.36 (in( 417.92/63.36 X1406, 417.92/63.36 X1400) => 417.92/63.36 (X1402 => 417.92/63.36 (dsetconstr( 417.92/63.36 X1400, 417.92/63.36 ^[V_51]: 417.92/63.36 (( 417.92/63.36 ( 417.92/63.36 V_51 = 417.92/63.36 X1406) & 417.92/63.36 ( 417.92/63.36 ~X1402)) | 417.92/63.36 (( 417.92/63.36 V_51 = 417.92/63.36 X1404) & 417.92/63.36 X1402))) = 417.92/63.36 setadjoin( 417.92/63.36 X1404, 417.92/63.36 emptyset))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1408, 417.92/63.36 X1410:$o, 417.92/63.36 X1412]: 417.92/63.36 (in( 417.92/63.36 X1412, 417.92/63.36 X1408) => 417.92/63.36 (![X1414]: 417.92/63.36 (in( 417.92/63.36 X1414, 417.92/63.36 X1408) => 417.92/63.36 singleton( 417.92/63.36 dsetconstr( 417.92/63.36 X1408, 417.92/63.36 ^[V_52]: 417.92/63.36 (( 417.92/63.36 ( 417.92/63.36 V_52 = 417.92/63.36 X1414) & 417.92/63.36 ( 417.92/63.36 ~X1410)) | 417.92/63.36 (( 417.92/63.36 V_52 = 417.92/63.36 X1412) & 417.92/63.36 X1410)))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1416, 417.92/63.36 X1418:$o, 417.92/63.36 X1420]: 417.92/63.36 (in( 417.92/63.36 X1420, 417.92/63.36 X1416) => 417.92/63.36 (![X1422]: 417.92/63.36 (in( 417.92/63.36 X1422, 417.92/63.36 X1416) => 417.92/63.36 in( 417.92/63.36 if( 417.92/63.36 X1416, 417.92/63.36 X1418, 417.92/63.36 X1420, 417.92/63.36 X1422), 417.92/63.36 X1416))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1424]: 417.92/63.36 (singleton( 417.92/63.36 X1424) => 417.92/63.36 (![X1426]: 417.92/63.36 (in( 417.92/63.36 X1426, 417.92/63.36 X1424) => 417.92/63.36 (setunion( 417.92/63.36 X1424) = 417.92/63.36 X1426))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1428, 417.92/63.36 X1430:$o, 417.92/63.36 X1432]: 417.92/63.36 (in( 417.92/63.36 X1432, 417.92/63.36 X1428) => 417.92/63.36 (![X1434]: 417.92/63.36 (in( 417.92/63.36 X1434, 417.92/63.36 X1428) => 417.92/63.36 (X1430 => 417.92/63.36 (if( 417.92/63.36 X1428, 417.92/63.36 X1430, 417.92/63.36 X1432, 417.92/63.36 X1434) = 417.92/63.36 X1432)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1436, 417.92/63.36 X1438:$o, 417.92/63.36 X1440]: 417.92/63.36 (in( 417.92/63.36 X1440, 417.92/63.36 X1436) => 417.92/63.36 (![X1442]: 417.92/63.36 (in( 417.92/63.36 X1442, 417.92/63.36 X1436) => 417.92/63.36 (( 417.92/63.36 ~X1438) => 417.92/63.36 (if( 417.92/63.36 X1436, 417.92/63.36 X1438, 417.92/63.36 X1440, 417.92/63.36 X1442) = 417.92/63.36 X1442)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1444, 417.92/63.36 X1446:$o, 417.92/63.36 X1448]: 417.92/63.36 (in( 417.92/63.36 X1448, 417.92/63.36 X1444) => 417.92/63.36 (![X1450]: 417.92/63.36 (in( 417.92/63.36 X1450, 417.92/63.36 X1444) => 417.92/63.36 in( 417.92/63.36 if( 417.92/63.36 X1444, 417.92/63.36 X1446, 417.92/63.36 X1448, 417.92/63.36 X1450), 417.92/63.36 setadjoin( 417.92/63.36 X1448, 417.92/63.36 setadjoin( 417.92/63.36 X1450, 417.92/63.36 emptyset))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1452, 417.92/63.36 X1454]: 417.92/63.36 (in( 417.92/63.36 X1454, 417.92/63.36 powerset( 417.92/63.36 X1452)) => 417.92/63.36 (![X1456]: 417.92/63.36 (in( 417.92/63.36 X1456, 417.92/63.36 powerset( 417.92/63.36 X1452)) => 417.92/63.36 in( 417.92/63.36 binintersect( 417.92/63.36 X1454, 417.92/63.36 X1456), 417.92/63.36 powerset( 417.92/63.36 X1452)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1458, 417.92/63.36 X1460]: 417.92/63.36 (in( 417.92/63.36 X1460, 417.92/63.36 powerset( 417.92/63.36 X1458)) => 417.92/63.36 (![X1462]: 417.92/63.36 (in( 417.92/63.36 X1462, 417.92/63.36 powerset( 417.92/63.36 X1458)) => 417.92/63.36 in( 417.92/63.36 binunion( 417.92/63.36 X1460, 417.92/63.36 X1462), 417.92/63.36 powerset( 417.92/63.36 X1458)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1464, 417.92/63.36 X1466]: 417.92/63.36 (in( 417.92/63.36 X1466, 417.92/63.36 powerset( 417.92/63.36 X1464)) => 417.92/63.36 in( 417.92/63.36 powerset( 417.92/63.36 X1466), 417.92/63.36 powerset( 417.92/63.36 powerset( 417.92/63.36 X1464))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1468, 417.92/63.36 X1470]: 417.92/63.36 (in( 417.92/63.36 X1470, 417.92/63.36 powerset( 417.92/63.36 X1468)) => 417.92/63.36 (![X1472]: 417.92/63.36 (in( 417.92/63.36 X1472, 417.92/63.36 powerset( 417.92/63.36 X1468)) => 417.92/63.36 in( 417.92/63.36 setminus( 417.92/63.36 X1470, 417.92/63.36 X1472), 417.92/63.36 powerset( 417.92/63.36 X1468)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1474, 417.92/63.36 X1476]: 417.92/63.36 (in( 417.92/63.36 X1476, 417.92/63.36 powerset( 417.92/63.36 X1474)) => 417.92/63.36 in( 417.92/63.36 setminus( 417.92/63.36 X1474, 417.92/63.36 X1476), 417.92/63.36 powerset( 417.92/63.36 X1474)))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1478, 417.92/63.36 X1480]: 417.92/63.36 (in( 417.92/63.36 X1480, 417.92/63.36 powerset( 417.92/63.36 X1478)) => 417.92/63.36 (![X1482]: 417.92/63.36 (in( 417.92/63.36 X1482, 417.92/63.36 powerset( 417.92/63.36 X1478)) => 417.92/63.36 (( 417.92/63.36 ![X1484]: 417.92/63.36 (in( 417.92/63.36 X1484, 417.92/63.36 X1478) => 417.92/63.36 (in( 417.92/63.36 X1484, 417.92/63.36 X1480) => 417.92/63.36 in( 417.92/63.36 X1484, 417.92/63.36 X1482)))) => 417.92/63.36 (( 417.92/63.36 ![X1486]: 417.92/63.36 (in( 417.92/63.36 X1486, 417.92/63.36 X1478) => 417.92/63.36 (in( 417.92/63.36 X1486, 417.92/63.36 X1482) => 417.92/63.36 in( 417.92/63.36 X1486, 417.92/63.36 X1480)))) => 417.92/63.36 (X1480 = 417.92/63.36 X1482))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1488, 417.92/63.36 X1490]: 417.92/63.36 (in( 417.92/63.36 X1490, 417.92/63.36 powerset( 417.92/63.36 X1488)) => 417.92/63.36 (![X1492]: 417.92/63.36 (in( 417.92/63.36 X1492, 417.92/63.36 powerset( 417.92/63.36 X1488)) => 417.92/63.36 (( 417.92/63.36 ![X1494]: 417.92/63.36 (in( 417.92/63.36 X1494, 417.92/63.36 X1488) => 417.92/63.36 (in( 417.92/63.36 X1494, 417.92/63.36 X1490) => 417.92/63.36 in( 417.92/63.36 X1494, 417.92/63.36 X1492)))) => 417.92/63.36 subset( 417.92/63.36 X1490, 417.92/63.36 X1492)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1496, 417.92/63.36 X1498]: 417.92/63.36 (in( 417.92/63.36 X1498, 417.92/63.36 powerset( 417.92/63.36 X1496)) => 417.92/63.36 (![X1500]: 417.92/63.36 (in( 417.92/63.36 X1500, 417.92/63.36 powerset( 417.92/63.36 X1496)) => 417.92/63.36 (( 417.92/63.36 ![X1502]: 417.92/63.36 (in( 417.92/63.36 X1502, 417.92/63.36 X1496) => 417.92/63.36 (in( 417.92/63.36 X1502, 417.92/63.36 X1498) => 417.92/63.36 in( 417.92/63.36 X1502, 417.92/63.36 X1500)))) => 417.92/63.36 in( 417.92/63.36 X1498, 417.92/63.36 powerset( 417.92/63.36 X1500))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1504, 417.92/63.36 X1506]: 417.92/63.36 (in( 417.92/63.36 X1506, 417.92/63.36 powerset( 417.92/63.36 X1504)) => 417.92/63.36 (![X1508]: 417.92/63.36 (in( 417.92/63.36 X1508, 417.92/63.36 powerset( 417.92/63.36 X1504)) => 417.92/63.36 (![X1510]: 417.92/63.36 (in( 417.92/63.36 X1510, 417.92/63.36 X1504) => 417.92/63.36 (in( 417.92/63.36 X1506, 417.92/63.36 powerset( 417.92/63.36 X1508)) => 417.92/63.36 (in( 417.92/63.36 X1510, 417.92/63.36 X1506) => 417.92/63.36 in( 417.92/63.36 X1510, 417.92/63.36 X1508))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1512, 417.92/63.36 X1514]: 417.92/63.36 (in( 417.92/63.36 X1514, 417.92/63.36 powerset( 417.92/63.36 X1512)) => 417.92/63.36 (![X1516]: 417.92/63.36 (in( 417.92/63.36 X1516, 417.92/63.36 X1512) => 417.92/63.36 (in( 417.92/63.36 X1516, 417.92/63.36 X1514) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X1516, 417.92/63.36 setminus( 417.92/63.36 X1512, 417.92/63.36 X1514)))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1518, 417.92/63.36 X1520]: 417.92/63.36 (in( 417.92/63.36 X1520, 417.92/63.36 powerset( 417.92/63.36 X1518)) => 417.92/63.36 (![X1522]: 417.92/63.36 (in( 417.92/63.36 X1522, 417.92/63.36 X1518) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X1522, 417.92/63.36 setminus( 417.92/63.36 X1518, 417.92/63.36 X1520))) => 417.92/63.36 in( 417.92/63.36 X1522, 417.92/63.36 X1520)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1524, 417.92/63.36 X1526]: 417.92/63.36 (in( 417.92/63.36 X1526, 417.92/63.36 powerset( 417.92/63.36 X1524)) => 417.92/63.36 (![X1528]: 417.92/63.36 (in( 417.92/63.36 X1528, 417.92/63.36 powerset( 417.92/63.36 X1524)) => 417.92/63.36 (![X1530]: 417.92/63.36 (in( 417.92/63.36 X1530, 417.92/63.36 X1524) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X1530, 417.92/63.36 X1526)) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X1530, 417.92/63.36 binintersect( 417.92/63.36 X1526, 417.92/63.36 X1528)))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1532, 417.92/63.36 X1534]: 417.92/63.36 (in( 417.92/63.36 X1534, 417.92/63.36 powerset( 417.92/63.36 X1532)) => 417.92/63.36 (![X1536]: 417.92/63.36 (in( 417.92/63.36 X1536, 417.92/63.36 powerset( 417.92/63.36 X1532)) => 417.92/63.36 (![X1538]: 417.92/63.36 (in( 417.92/63.36 X1538, 417.92/63.36 X1532) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X1538, 417.92/63.36 X1536)) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X1538, 417.92/63.36 binintersect( 417.92/63.36 X1534, 417.92/63.36 X1536)))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1540, 417.92/63.36 X1542]: 417.92/63.36 (in( 417.92/63.36 X1542, 417.92/63.36 powerset( 417.92/63.36 X1540)) => 417.92/63.36 (![X1544]: 417.92/63.36 (in( 417.92/63.36 X1544, 417.92/63.36 powerset( 417.92/63.36 X1540)) => 417.92/63.36 (![X1546]: 417.92/63.36 (in( 417.92/63.36 X1546, 417.92/63.36 X1540) => 417.92/63.36 (subset( 417.92/63.36 X1542, 417.92/63.36 setminus( 417.92/63.36 X1540, 417.92/63.36 X1544)) => 417.92/63.36 (in( 417.92/63.36 X1546, 417.92/63.36 X1544) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X1546, 417.92/63.36 X1542)))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1548, 417.92/63.36 X1550]: 417.92/63.36 (in( 417.92/63.36 X1550, 417.92/63.36 powerset( 417.92/63.36 X1548)) => 417.92/63.36 (![X1552]: 417.92/63.36 (in( 417.92/63.36 X1552, 417.92/63.36 powerset( 417.92/63.36 X1548)) => 417.92/63.36 (![X1554]: 417.92/63.36 (in( 417.92/63.36 X1554, 417.92/63.36 X1548) => 417.92/63.36 (subset( 417.92/63.36 X1550, 417.92/63.36 X1552) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X1554, 417.92/63.36 X1552)) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X1554, 417.92/63.36 X1550)))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1556, 417.92/63.36 X1558]: 417.92/63.36 (in( 417.92/63.36 X1558, 417.92/63.36 powerset( 417.92/63.36 X1556)) => 417.92/63.36 (![X1560]: 417.92/63.36 (in( 417.92/63.36 X1560, 417.92/63.36 powerset( 417.92/63.36 X1556)) => 417.92/63.36 (subset( 417.92/63.36 X1558, 417.92/63.36 X1560) => 417.92/63.36 subset( 417.92/63.36 setminus( 417.92/63.36 X1556, 417.92/63.36 X1560), 417.92/63.36 setminus( 417.92/63.36 X1556, 417.92/63.36 X1558))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1562, 417.92/63.36 X1564]: 417.92/63.36 (in( 417.92/63.36 X1564, 417.92/63.36 powerset( 417.92/63.36 X1562)) => 417.92/63.36 (![X1566]: 417.92/63.36 (in( 417.92/63.36 X1566, 417.92/63.36 powerset( 417.92/63.36 X1562)) => 417.92/63.36 (subset( 417.92/63.36 setminus( 417.92/63.36 X1562, 417.92/63.36 X1566), 417.92/63.36 setminus( 417.92/63.36 X1562, 417.92/63.36 X1564)) => 417.92/63.36 subset( 417.92/63.36 X1564, 417.92/63.36 X1566)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1568, 417.92/63.36 X1570]: 417.92/63.36 (in( 417.92/63.36 X1570, 417.92/63.36 powerset( 417.92/63.36 X1568)) => 417.92/63.36 (![X1572]: 417.92/63.36 (in( 417.92/63.36 X1572, 417.92/63.36 X1568) => 417.92/63.36 (in( 417.92/63.36 X1572, 417.92/63.36 X1570) => 417.92/63.36 in( 417.92/63.36 X1572, 417.92/63.36 setminus( 417.92/63.36 X1568, 417.92/63.36 setminus( 417.92/63.36 X1568, 417.92/63.36 X1570)))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1574, 417.92/63.36 X1576]: 417.92/63.36 (in( 417.92/63.36 X1576, 417.92/63.36 powerset( 417.92/63.36 X1574)) => 417.92/63.36 (![X1578]: 417.92/63.36 (in( 417.92/63.36 X1578, 417.92/63.36 X1574) => 417.92/63.36 (in( 417.92/63.36 X1578, 417.92/63.36 setminus( 417.92/63.36 X1574, 417.92/63.36 setminus( 417.92/63.36 X1574, 417.92/63.36 X1576))) => 417.92/63.36 in( 417.92/63.36 X1578, 417.92/63.36 X1576)))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1580, 417.92/63.36 X1582]: 417.92/63.36 (in( 417.92/63.36 X1582, 417.92/63.36 powerset( 417.92/63.36 X1580)) => 417.92/63.36 subset( 417.92/63.36 X1582, 417.92/63.36 setminus( 417.92/63.36 X1580, 417.92/63.36 setminus( 417.92/63.36 X1580, 417.92/63.36 X1582))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1584, 417.92/63.36 X1586]: 417.92/63.36 (in( 417.92/63.36 X1586, 417.92/63.36 powerset( 417.92/63.36 X1584)) => 417.92/63.36 subset( 417.92/63.36 setminus( 417.92/63.36 X1584, 417.92/63.36 setminus( 417.92/63.36 X1584, 417.92/63.36 X1586)), 417.92/63.36 X1586))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1588, 417.92/63.36 X1590]: 417.92/63.36 (in( 417.92/63.36 X1590, 417.92/63.36 powerset( 417.92/63.36 X1588)) => 417.92/63.36 (X1590 = 417.92/63.36 setminus( 417.92/63.36 X1588, 417.92/63.36 setminus( 417.92/63.36 X1588, 417.92/63.36 X1590))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1592, 417.92/63.36 X1594]: 417.92/63.36 (in( 417.92/63.36 X1594, 417.92/63.36 powerset( 417.92/63.36 X1592)) => 417.92/63.36 (![X1596]: 417.92/63.36 (in( 417.92/63.36 X1596, 417.92/63.36 powerset( 417.92/63.36 X1592)) => 417.92/63.36 (![X1598]: 417.92/63.36 (in( 417.92/63.36 X1598, 417.92/63.36 X1592) => 417.92/63.36 (in( 417.92/63.36 X1598, 417.92/63.36 setminus( 417.92/63.36 X1592, 417.92/63.36 X1594)) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X1598, 417.92/63.36 binintersect( 417.92/63.36 X1594, 417.92/63.36 X1596)))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1600, 417.92/63.36 X1602]: 417.92/63.36 (in( 417.92/63.36 X1602, 417.92/63.36 powerset( 417.92/63.36 X1600)) => 417.92/63.36 (![X1604]: 417.92/63.36 (in( 417.92/63.36 X1604, 417.92/63.36 powerset( 417.92/63.36 X1600)) => 417.92/63.36 (![X1606]: 417.92/63.36 (in( 417.92/63.36 X1606, 417.92/63.36 X1600) => 417.92/63.36 (in( 417.92/63.36 X1606, 417.92/63.36 setminus( 417.92/63.36 X1600, 417.92/63.36 X1602)) => 417.92/63.36 in( 417.92/63.36 X1606, 417.92/63.36 setminus( 417.92/63.36 X1600, 417.92/63.36 binintersect( 417.92/63.36 X1602, 417.92/63.36 X1604)))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1608, 417.92/63.36 X1610]: 417.92/63.36 (in( 417.92/63.36 X1610, 417.92/63.36 powerset( 417.92/63.36 X1608)) => 417.92/63.36 (![X1612]: 417.92/63.36 (in( 417.92/63.36 X1612, 417.92/63.36 powerset( 417.92/63.36 X1608)) => 417.92/63.36 subset( 417.92/63.36 setminus( 417.92/63.36 X1608, 417.92/63.36 X1610), 417.92/63.36 setminus( 417.92/63.36 X1608, 417.92/63.36 binintersect( 417.92/63.36 X1610, 417.92/63.36 X1612))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1614, 417.92/63.36 X1616]: 417.92/63.36 (in( 417.92/63.36 X1616, 417.92/63.36 powerset( 417.92/63.36 X1614)) => 417.92/63.36 (![X1618]: 417.92/63.36 (in( 417.92/63.36 X1618, 417.92/63.36 powerset( 417.92/63.36 X1614)) => 417.92/63.36 in( 417.92/63.36 setminus( 417.92/63.36 X1614, 417.92/63.36 X1616), 417.92/63.36 powerset( 417.92/63.36 setminus( 417.92/63.36 X1614, 417.92/63.36 binintersect( 417.92/63.36 X1616, 417.92/63.36 X1618)))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1620, 417.92/63.36 X1622]: 417.92/63.36 (in( 417.92/63.36 X1622, 417.92/63.36 powerset( 417.92/63.36 X1620)) => 417.92/63.36 (![X1624]: 417.92/63.36 (in( 417.92/63.36 X1624, 417.92/63.36 powerset( 417.92/63.36 X1620)) => 417.92/63.36 (subset( 417.92/63.36 X1622, 417.92/63.36 setminus( 417.92/63.36 X1620, 417.92/63.36 X1624)) => 417.92/63.36 (![X1626]: 417.92/63.36 (in( 417.92/63.36 X1626, 417.92/63.36 X1620) => 417.92/63.36 (in( 417.92/63.36 X1626, 417.92/63.36 X1624) => 417.92/63.36 in( 417.92/63.36 X1626, 417.92/63.36 setminus( 417.92/63.36 X1620, 417.92/63.36 X1622)))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1628, 417.92/63.36 X1630]: 417.92/63.36 (in( 417.92/63.36 X1630, 417.92/63.36 powerset( 417.92/63.36 X1628)) => 417.92/63.36 (![X1632]: 417.92/63.36 (in( 417.92/63.36 X1632, 417.92/63.36 powerset( 417.92/63.36 X1628)) => 417.92/63.36 (subset( 417.92/63.36 X1630, 417.92/63.36 setminus( 417.92/63.36 X1628, 417.92/63.36 X1632)) => 417.92/63.36 subset( 417.92/63.36 X1632, 417.92/63.36 setminus( 417.92/63.36 X1628, 417.92/63.36 X1630))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1634, 417.92/63.36 X1636]: 417.92/63.36 (in( 417.92/63.36 X1636, 417.92/63.36 powerset( 417.92/63.36 X1634)) => 417.92/63.36 (![X1638]: 417.92/63.36 (in( 417.92/63.36 X1638, 417.92/63.36 powerset( 417.92/63.36 X1634)) => 417.92/63.36 (![X1640]: 417.92/63.36 (in( 417.92/63.36 X1640, 417.92/63.36 X1634) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X1640, 417.92/63.36 binunion( 417.92/63.36 X1636, 417.92/63.36 X1638))) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X1640, 417.92/63.36 X1636))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1642, 417.92/63.36 X1644]: 417.92/63.36 (in( 417.92/63.36 X1644, 417.92/63.36 powerset( 417.92/63.36 X1642)) => 417.92/63.36 (![X1646]: 417.92/63.36 (in( 417.92/63.36 X1646, 417.92/63.36 powerset( 417.92/63.36 X1642)) => 417.92/63.36 (![X1648]: 417.92/63.36 (in( 417.92/63.36 X1648, 417.92/63.36 X1642) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X1648, 417.92/63.36 binunion( 417.92/63.36 X1644, 417.92/63.36 X1646))) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X1648, 417.92/63.36 X1646))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1650, 417.92/63.36 X1652]: 417.92/63.36 (in( 417.92/63.36 X1652, 417.92/63.36 powerset( 417.92/63.36 X1650)) => 417.92/63.36 (![X1654]: 417.92/63.36 (in( 417.92/63.36 X1654, 417.92/63.36 powerset( 417.92/63.36 X1650)) => 417.92/63.36 (![X1656]: 417.92/63.36 (in( 417.92/63.36 X1656, 417.92/63.36 powerset( 417.92/63.36 X1650)) => 417.92/63.36 (![X1658]: 417.92/63.36 (in( 417.92/63.36 X1658, 417.92/63.36 X1650) => 417.92/63.36 (in( 417.92/63.36 X1658, 417.92/63.36 binintersect( 417.92/63.36 X1652, 417.92/63.36 X1654)) => 417.92/63.36 in( 417.92/63.36 X1658, 417.92/63.36 binunion( 417.92/63.36 X1652, 417.92/63.36 X1656))))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1660, 417.92/63.36 X1662]: 417.92/63.36 (in( 417.92/63.36 X1662, 417.92/63.36 powerset( 417.92/63.36 X1660)) => 417.92/63.36 (![X1664]: 417.92/63.36 (in( 417.92/63.36 X1664, 417.92/63.36 powerset( 417.92/63.36 X1660)) => 417.92/63.36 (![X1666]: 417.92/63.36 (in( 417.92/63.36 X1666, 417.92/63.36 powerset( 417.92/63.36 X1660)) => 417.92/63.36 (![X1668]: 417.92/63.36 (in( 417.92/63.36 X1668, 417.92/63.36 X1660) => 417.92/63.36 (in( 417.92/63.36 X1668, 417.92/63.36 binintersect( 417.92/63.36 X1662, 417.92/63.36 X1664)) => 417.92/63.36 in( 417.92/63.36 X1668, 417.92/63.36 binunion( 417.92/63.36 X1664, 417.92/63.36 X1666))))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1670, 417.92/63.36 X1672]: 417.92/63.36 (in( 417.92/63.36 X1672, 417.92/63.36 powerset( 417.92/63.36 X1670)) => 417.92/63.36 (![X1674]: 417.92/63.36 (in( 417.92/63.36 X1674, 417.92/63.36 powerset( 417.92/63.36 X1670)) => 417.92/63.36 (![X1676]: 417.92/63.36 (in( 417.92/63.36 X1676, 417.92/63.36 powerset( 417.92/63.36 X1670)) => 417.92/63.36 (![X1678]: 417.92/63.36 (in( 417.92/63.36 X1678, 417.92/63.36 X1670) => 417.92/63.36 (in( 417.92/63.36 X1678, 417.92/63.36 binintersect( 417.92/63.36 X1672, 417.92/63.36 X1674)) => 417.92/63.36 in( 417.92/63.36 X1678, 417.92/63.36 binintersect( 417.92/63.36 binunion( 417.92/63.36 X1672, 417.92/63.36 X1676), 417.92/63.36 binunion( 417.92/63.36 X1674, 417.92/63.36 X1676)))))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1680, 417.92/63.36 X1682]: 417.92/63.36 (in( 417.92/63.36 X1682, 417.92/63.36 powerset( 417.92/63.36 X1680)) => 417.92/63.36 (![X1684]: 417.92/63.36 (in( 417.92/63.36 X1684, 417.92/63.36 powerset( 417.92/63.36 X1680)) => 417.92/63.36 (![X1686]: 417.92/63.36 (in( 417.92/63.36 X1686, 417.92/63.36 powerset( 417.92/63.36 X1680)) => 417.92/63.36 in( 417.92/63.36 binintersect( 417.92/63.36 X1682, 417.92/63.36 X1684), 417.92/63.36 powerset( 417.92/63.36 binintersect( 417.92/63.36 binunion( 417.92/63.36 X1682, 417.92/63.36 X1686), 417.92/63.36 binunion( 417.92/63.36 X1684, 417.92/63.36 X1686)))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1688, 417.92/63.36 X1690]: 417.92/63.36 (in( 417.92/63.36 X1690, 417.92/63.36 powerset( 417.92/63.36 X1688)) => 417.92/63.36 (![X1692]: 417.92/63.36 (in( 417.92/63.36 X1692, 417.92/63.36 powerset( 417.92/63.36 X1688)) => 417.92/63.36 (![X1694]: 417.92/63.36 (in( 417.92/63.36 X1694, 417.92/63.36 X1688) => 417.92/63.36 (in( 417.92/63.36 X1694, 417.92/63.36 setminus( 417.92/63.36 X1688, 417.92/63.36 binunion( 417.92/63.36 X1690, 417.92/63.36 X1692))) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X1694, 417.92/63.36 X1690))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1696, 417.92/63.36 X1698]: 417.92/63.36 (in( 417.92/63.36 X1698, 417.92/63.36 powerset( 417.92/63.36 X1696)) => 417.92/63.36 (![X1700]: 417.92/63.36 (in( 417.92/63.36 X1700, 417.92/63.36 powerset( 417.92/63.36 X1696)) => 417.92/63.36 (![X1702]: 417.92/63.36 (in( 417.92/63.36 X1702, 417.92/63.36 X1696) => 417.92/63.36 (in( 417.92/63.36 X1702, 417.92/63.36 setminus( 417.92/63.36 X1696, 417.92/63.36 binunion( 417.92/63.36 X1698, 417.92/63.36 X1700))) => 417.92/63.36 in( 417.92/63.36 X1702, 417.92/63.36 setminus( 417.92/63.36 X1696, 417.92/63.36 X1698))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1704, 417.92/63.36 X1706]: 417.92/63.36 (in( 417.92/63.36 X1706, 417.92/63.36 powerset( 417.92/63.36 X1704)) => 417.92/63.36 (![X1708]: 417.92/63.36 (in( 417.92/63.36 X1708, 417.92/63.36 powerset( 417.92/63.36 X1704)) => 417.92/63.36 (![X1710:$o, 417.92/63.36 X1712]: 417.92/63.36 (in( 417.92/63.36 X1712, 417.92/63.36 X1704) => 417.92/63.36 (in( 417.92/63.36 X1712, 417.92/63.36 binunion( 417.92/63.36 X1706, 417.92/63.36 X1708)) => 417.92/63.36 (( 417.92/63.36 in( 417.92/63.36 X1712, 417.92/63.36 X1706) => 417.92/63.36 X1710) => 417.92/63.36 (( 417.92/63.36 in( 417.92/63.36 X1712, 417.92/63.36 X1708) => 417.92/63.36 X1710) => 417.92/63.36 X1710))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1714, 417.92/63.36 X1716]: 417.92/63.36 (in( 417.92/63.36 X1716, 417.92/63.36 powerset( 417.92/63.36 X1714)) => 417.92/63.36 (![X1718]: 417.92/63.36 (in( 417.92/63.36 X1718, 417.92/63.36 powerset( 417.92/63.36 X1714)) => 417.92/63.36 (![X1720]: 417.92/63.36 (in( 417.92/63.36 X1720, 417.92/63.36 X1714) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X1720, 417.92/63.36 X1716)) => 417.92/63.36 (( 417.92/63.36 ~ 417.92/63.36 in( 417.92/63.36 X1720, 417.92/63.36 X1718)) => 417.92/63.36 (~ 417.92/63.36 in( 417.92/63.36 X1720, 417.92/63.36 binunion( 417.92/63.36 X1716, 417.92/63.36 X1718))))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1722, 417.92/63.36 X1724]: 417.92/63.36 (in( 417.92/63.36 X1724, 417.92/63.36 powerset( 417.92/63.36 X1722)) => 417.92/63.36 (![X1726]: 417.92/63.36 (in( 417.92/63.36 X1726, 417.92/63.36 powerset( 417.92/63.36 X1722)) => 417.92/63.36 (![X1728]: 417.92/63.36 (in( 417.92/63.36 X1728, 417.92/63.36 X1722) => 417.92/63.36 (in( 417.92/63.36 X1728, 417.92/63.36 setminus( 417.92/63.36 X1722, 417.92/63.36 binunion( 417.92/63.36 X1724, 417.92/63.36 X1726))) => 417.92/63.36 in( 417.92/63.36 X1728, 417.92/63.36 setminus( 417.92/63.36 X1722, 417.92/63.36 X1724))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1730, 417.92/63.36 X1732]: 417.92/63.36 (in( 417.92/63.36 X1732, 417.92/63.36 powerset( 417.92/63.36 X1730)) => 417.92/63.36 (![X1734]: 417.92/63.36 (in( 417.92/63.36 X1734, 417.92/63.36 powerset( 417.92/63.36 X1730)) => 417.92/63.36 in( 417.92/63.36 setminus( 417.92/63.36 X1730, 417.92/63.36 binunion( 417.92/63.36 X1732, 417.92/63.36 X1734)), 417.92/63.36 powerset( 417.92/63.36 setminus( 417.92/63.36 X1730, 417.92/63.36 X1732))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1736, 417.92/63.36 X1738]: 417.92/63.36 (in( 417.92/63.36 X1738, 417.92/63.36 powerset( 417.92/63.36 X1736)) => 417.92/63.36 (![X1740]: 417.92/63.36 (in( 417.92/63.36 X1740, 417.92/63.36 powerset( 417.92/63.36 X1736)) => 417.92/63.36 (![X1742]: 417.92/63.36 (in( 417.92/63.36 X1742, 417.92/63.36 X1736) => 417.92/63.36 (in( 417.92/63.36 X1742, 417.92/63.36 setminus( 417.92/63.36 X1736, 417.92/63.36 binunion( 417.92/63.36 X1738, 417.92/63.36 X1740))) => 417.92/63.36 in( 417.92/63.36 X1742, 417.92/63.36 setminus( 417.92/63.36 X1736, 417.92/63.36 X1740))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1744, 417.92/63.36 X1746]: 417.92/63.36 (in( 417.92/63.36 X1746, 417.92/63.36 powerset( 417.92/63.36 X1744)) => 417.92/63.36 (![X1748]: 417.92/63.36 (in( 417.92/63.36 X1748, 417.92/63.36 powerset( 417.92/63.36 X1744)) => 417.92/63.36 (![X1750]: 417.92/63.36 (in( 417.92/63.36 X1750, 417.92/63.36 X1744) => 417.92/63.36 (in( 417.92/63.36 X1750, 417.92/63.36 setminus( 417.92/63.36 X1744, 417.92/63.36 binintersect( 417.92/63.36 X1746, 417.92/63.36 X1748))) => 417.92/63.36 in( 417.92/63.36 X1750, 417.92/63.36 binunion( 417.92/63.36 setminus( 417.92/63.36 X1744, 417.92/63.36 X1746), 417.92/63.36 setminus( 417.92/63.36 X1744, 417.92/63.36 X1748)))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1752, 417.92/63.36 X1754]: 417.92/63.36 (in( 417.92/63.36 X1754, 417.92/63.36 powerset( 417.92/63.36 X1752)) => 417.92/63.36 (![X1756]: 417.92/63.36 (in( 417.92/63.36 X1756, 417.92/63.36 powerset( 417.92/63.36 X1752)) => 417.92/63.36 (![X1758]: 417.92/63.36 (in( 417.92/63.36 X1758, 417.92/63.36 X1752) => 417.92/63.36 (in( 417.92/63.36 X1758, 417.92/63.36 binunion( 417.92/63.36 setminus( 417.92/63.36 X1752, 417.92/63.36 X1754), 417.92/63.36 setminus( 417.92/63.36 X1752, 417.92/63.36 X1756))) => 417.92/63.36 in( 417.92/63.36 X1758, 417.92/63.36 setminus( 417.92/63.36 X1752, 417.92/63.36 binintersect( 417.92/63.36 X1754, 417.92/63.36 X1756)))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1760, 417.92/63.36 X1762]: 417.92/63.36 (in( 417.92/63.36 X1762, 417.92/63.36 powerset( 417.92/63.36 X1760)) => 417.92/63.36 (![X1764]: 417.92/63.36 (in( 417.92/63.36 X1764, 417.92/63.36 powerset( 417.92/63.36 X1760)) => 417.92/63.36 (setminus( 417.92/63.36 X1760, 417.92/63.36 binintersect( 417.92/63.36 X1762, 417.92/63.36 X1764)) = 417.92/63.36 binunion( 417.92/63.36 setminus( 417.92/63.36 X1760, 417.92/63.36 X1762), 417.92/63.36 setminus( 417.92/63.36 X1760, 417.92/63.36 X1764))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1766, 417.92/63.36 X1768]: 417.92/63.36 (in( 417.92/63.36 X1768, 417.92/63.36 powerset( 417.92/63.36 X1766)) => 417.92/63.36 (![X1770]: 417.92/63.36 (in( 417.92/63.36 X1770, 417.92/63.36 powerset( 417.92/63.36 X1766)) => 417.92/63.36 (![X1772]: 417.92/63.36 (in( 417.92/63.36 X1772, 417.92/63.36 X1766) => 417.92/63.36 (in( 417.92/63.36 X1772, 417.92/63.36 setminus( 417.92/63.36 X1766, 417.92/63.36 binunion( 417.92/63.36 X1768, 417.92/63.36 X1770))) => 417.92/63.36 in( 417.92/63.36 X1772, 417.92/63.36 binintersect( 417.92/63.36 setminus( 417.92/63.36 X1766, 417.92/63.36 X1768), 417.92/63.36 setminus( 417.92/63.36 X1766, 417.92/63.36 X1770)))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1774, 417.92/63.36 X1776]: 417.92/63.36 (in( 417.92/63.36 X1776, 417.92/63.36 powerset( 417.92/63.36 X1774)) => 417.92/63.36 (![X1778]: 417.92/63.36 (in( 417.92/63.36 X1778, 417.92/63.36 powerset( 417.92/63.36 X1774)) => 417.92/63.36 (![X1780]: 417.92/63.36 (in( 417.92/63.36 X1780, 417.92/63.36 X1774) => 417.92/63.36 (in( 417.92/63.36 X1780, 417.92/63.36 setminus( 417.92/63.36 X1774, 417.92/63.36 X1776)) => 417.92/63.36 (in( 417.92/63.36 X1780, 417.92/63.36 setminus( 417.92/63.36 X1774, 417.92/63.36 X1778)) => 417.92/63.36 in( 417.92/63.36 X1780, 417.92/63.36 setminus( 417.92/63.36 X1774, 417.92/63.36 binunion( 417.92/63.36 X1776, 417.92/63.36 X1778))))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1782, 417.92/63.36 X1784]: 417.92/63.36 (in( 417.92/63.36 X1784, 417.92/63.36 powerset( 417.92/63.36 X1782)) => 417.92/63.36 (![X1786]: 417.92/63.36 (in( 417.92/63.36 X1786, 417.92/63.36 powerset( 417.92/63.36 X1782)) => 417.92/63.36 (![X1788]: 417.92/63.36 (in( 417.92/63.36 X1788, 417.92/63.36 X1782) => 417.92/63.36 (in( 417.92/63.36 X1788, 417.92/63.36 binintersect( 417.92/63.36 setminus( 417.92/63.36 X1782, 417.92/63.36 X1784), 417.92/63.36 setminus( 417.92/63.36 X1782, 417.92/63.36 X1786))) => 417.92/63.36 in( 417.92/63.36 X1788, 417.92/63.36 setminus( 417.92/63.36 X1782, 417.92/63.36 binunion( 417.92/63.36 X1784, 417.92/63.36 X1786)))))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1790, 417.92/63.36 X1792]: 417.92/63.36 (in( 417.92/63.36 X1792, 417.92/63.36 powerset( 417.92/63.36 X1790)) => 417.92/63.36 (![X1794]: 417.92/63.36 (in( 417.92/63.36 X1794, 417.92/63.36 powerset( 417.92/63.36 X1790)) => 417.92/63.36 (setminus( 417.92/63.36 X1790, 417.92/63.36 binunion( 417.92/63.36 X1792, 417.92/63.36 X1794)) = 417.92/63.36 binintersect( 417.92/63.36 setminus( 417.92/63.36 X1790, 417.92/63.36 X1792), 417.92/63.36 setminus( 417.92/63.36 X1790, 417.92/63.36 X1794))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1796, 417.92/63.36 X1798]: 417.92/63.36 (in( 417.92/63.36 X1798, 417.92/63.36 powerset( 417.92/63.36 X1796)) => 417.92/63.36 (![X1800]: 417.92/63.36 (in( 417.92/63.36 X1800, 417.92/63.36 powerset( 417.92/63.36 X1796)) => 417.92/63.36 (![X1802]: 417.92/63.36 (in( 417.92/63.36 X1802, 417.92/63.36 binintersect( 417.92/63.36 X1798, 417.92/63.36 X1800)) => 417.92/63.36 in( 417.92/63.36 X1802, 417.92/63.36 X1796))))))) => 417.92/63.36 ( 417.92/63.36 ( 417.92/63.36 ![X1804, 417.92/63.36 X1806]: 417.92/63.36 (in( 417.92/63.36 X1806, 417.92/63.36 powerset( 417.92/63.36 X1804)) => 417.92/63.36 (![X1808]: 417.92/63.36 (in( 417.92/63.36 X1808, 417.92/63.36 powerset( 417.92/63.37 X1804)) => 417.92/63.37 (![X1810]: 417.92/63.37 (in( 417.92/63.37 X1810, 417.92/63.37 powerset( 417.92/63.37 X1804)) => 417.92/63.37 (subset( 417.92/63.37 X1806, 417.92/63.37 X1810) => 417.92/63.37 subset( 417.92/63.37 binintersect( 417.92/63.37 X1806, 417.92/63.37 X1808), 417.92/63.37 X1810)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1812, 417.92/63.37 X1814]: 417.92/63.37 (in( 417.92/63.37 X1814, 417.92/63.37 powerset( 417.92/63.37 X1812)) => 417.92/63.37 (![X1816]: 417.92/63.37 (in( 417.92/63.37 X1816, 417.92/63.37 powerset( 417.92/63.37 X1812)) => 417.92/63.37 (![X1818]: 417.92/63.37 (in( 417.92/63.37 X1818, 417.92/63.37 powerset( 417.92/63.37 X1812)) => 417.92/63.37 (subset( 417.92/63.37 X1816, 417.92/63.37 X1818) => 417.92/63.37 subset( 417.92/63.37 binintersect( 417.92/63.37 X1814, 417.92/63.37 X1816), 417.92/63.37 X1818)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1820, 417.92/63.37 X1822]: 417.92/63.37 (in( 417.92/63.37 X1822, 417.92/63.37 powerset( 417.92/63.37 X1820)) => 417.92/63.37 (![X1824]: 417.92/63.37 (in( 417.92/63.37 X1824, 417.92/63.37 powerset( 417.92/63.37 X1820)) => 417.92/63.37 (![X1826]: 417.92/63.37 (in( 417.92/63.37 X1826, 417.92/63.37 powerset( 417.92/63.37 X1820)) => 417.92/63.37 (subset( 417.92/63.37 X1822, 417.92/63.37 X1824) => 417.92/63.37 (subset( 417.92/63.37 X1822, 417.92/63.37 X1826) => 417.92/63.37 subset( 417.92/63.37 X1822, 417.92/63.37 binintersect( 417.92/63.37 X1824, 417.92/63.37 X1826)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1828, 417.92/63.37 X1830]: 417.92/63.37 (in( 417.92/63.37 X1830, 417.92/63.37 powerset( 417.92/63.37 X1828)) => 417.92/63.37 (![X1832]: 417.92/63.37 (in( 417.92/63.37 X1832, 417.92/63.37 powerset( 417.92/63.37 X1828)) => 417.92/63.37 (![X1834]: 417.92/63.37 (in( 417.92/63.37 X1834, 417.92/63.37 powerset( 417.92/63.37 X1828)) => 417.92/63.37 (![X1836]: 417.92/63.37 (in( 417.92/63.37 X1836, 417.92/63.37 powerset( 417.92/63.37 X1828)) => 417.92/63.37 (subset( 417.92/63.37 X1830, 417.92/63.37 X1834) => 417.92/63.37 (subset( 417.92/63.37 X1832, 417.92/63.37 X1836) => 417.92/63.37 subset( 417.92/63.37 binintersect( 417.92/63.37 X1830, 417.92/63.37 X1832), 417.92/63.37 binintersect( 417.92/63.37 X1834, 417.92/63.37 X1836)))))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1838, 417.92/63.37 X1840]: 417.92/63.37 (in( 417.92/63.37 X1840, 417.92/63.37 powerset( 417.92/63.37 X1838)) => 417.92/63.37 (![X1842]: 417.92/63.37 (in( 417.92/63.37 X1842, 417.92/63.37 powerset( 417.92/63.37 X1838)) => 417.92/63.37 in( 417.92/63.37 setminus( 417.92/63.37 X1838, 417.92/63.37 X1840), 417.92/63.37 powerset( 417.92/63.37 setminus( 417.92/63.37 X1838, 417.92/63.37 binintersect( 417.92/63.37 X1840, 417.92/63.37 X1842)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1844, 417.92/63.37 X1846]: 417.92/63.37 (in( 417.92/63.37 X1846, 417.92/63.37 powerset( 417.92/63.37 X1844)) => 417.92/63.37 (![X1848]: 417.92/63.37 (in( 417.92/63.37 X1848, 417.92/63.37 powerset( 417.92/63.37 X1844)) => 417.92/63.37 (![X1850]: 417.92/63.37 (in( 417.92/63.37 X1850, 417.92/63.37 powerset( 417.92/63.37 X1844)) => 417.92/63.37 (![X1852]: 417.92/63.37 (in( 417.92/63.37 X1852, 417.92/63.37 powerset( 417.92/63.37 X1844)) => 417.92/63.37 (setminus( 417.92/63.37 X1844, 417.92/63.37 binintersect( 417.92/63.37 binunion( 417.92/63.37 X1846, 417.92/63.37 X1848), 417.92/63.37 binunion( 417.92/63.37 X1850, 417.92/63.37 X1852))) = 417.92/63.37 binunion( 417.92/63.37 binintersect( 417.92/63.37 setminus( 417.92/63.37 X1844, 417.92/63.37 X1846), 417.92/63.37 setminus( 417.92/63.37 X1844, 417.92/63.37 X1848)), 417.92/63.37 binintersect( 417.92/63.37 setminus( 417.92/63.37 X1844, 417.92/63.37 X1850), 417.92/63.37 setminus( 417.92/63.37 X1844, 417.92/63.37 X1852)))))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1854, 417.92/63.37 X1856]: 417.92/63.37 (in( 417.92/63.37 X1856, 417.92/63.37 powerset( 417.92/63.37 X1854)) => 417.92/63.37 (![X1858]: 417.92/63.37 (in( 417.92/63.37 X1858, 417.92/63.37 powerset( 417.92/63.37 X1854)) => 417.92/63.37 (![X1860]: 417.92/63.37 (in( 417.92/63.37 X1860, 417.92/63.37 powerset( 417.92/63.37 X1854)) => 417.92/63.37 in( 417.92/63.37 binintersect( 417.92/63.37 X1856, 417.92/63.37 X1858), 417.92/63.37 powerset( 417.92/63.37 binintersect( 417.92/63.37 binunion( 417.92/63.37 X1856, 417.92/63.37 X1860), 417.92/63.37 binunion( 417.92/63.37 X1858, 417.92/63.37 X1860)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1862, 417.92/63.37 X1864]: 417.92/63.37 (in( 417.92/63.37 X1864, 417.92/63.37 powerset( 417.92/63.37 X1862)) => 417.92/63.37 (![X1866]: 417.92/63.37 (in( 417.92/63.37 X1866, 417.92/63.37 powerset( 417.92/63.37 X1862)) => 417.92/63.37 (subset( 417.92/63.37 X1864, 417.92/63.37 setminus( 417.92/63.37 X1862, 417.92/63.37 X1866)) => 417.92/63.37 subset( 417.92/63.37 X1866, 417.92/63.37 setminus( 417.92/63.37 X1862, 417.92/63.37 X1864))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1868, 417.92/63.37 X1870]: 417.92/63.37 (in( 417.92/63.37 X1870, 417.92/63.37 powerset( 417.92/63.37 X1868)) => 417.92/63.37 (![X1872]: 417.92/63.37 (in( 417.92/63.37 X1872, 417.92/63.37 powerset( 417.92/63.37 X1868)) => 417.92/63.37 in( 417.92/63.37 setminus( 417.92/63.37 X1868, 417.92/63.37 binunion( 417.92/63.37 X1870, 417.92/63.37 X1872)), 417.92/63.37 powerset( 417.92/63.37 setminus( 417.92/63.37 X1868, 417.92/63.37 X1870))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1874, 417.92/63.37 X1876]: 417.92/63.37 (subset( 417.92/63.37 X1876, 417.92/63.37 cartprod( 417.92/63.37 X1874, 417.92/63.37 X1874)) => 417.92/63.37 (![X1878:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ![X1880]: 417.92/63.37 (in( 417.92/63.37 X1880, 417.92/63.37 X1874) => 417.92/63.37 (![X1882]: 417.92/63.37 (in( 417.92/63.37 X1882, 417.92/63.37 X1874) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1880, 417.92/63.37 X1882), 417.92/63.37 X1876) => 417.92/63.37 X1878( 417.92/63.37 kpair( 417.92/63.37 X1880, 417.92/63.37 X1882))))))) => 417.92/63.37 (![X1884]: 417.92/63.37 (in( 417.92/63.37 X1884, 417.92/63.37 X1876) => 417.92/63.37 X1878( 417.92/63.37 X1884))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1886, 417.92/63.37 X1888]: 417.92/63.37 (in( 417.92/63.37 X1888, 417.92/63.37 breln1Set( 417.92/63.37 X1886)) => 417.92/63.37 subset( 417.92/63.37 X1888, 417.92/63.37 cartprod( 417.92/63.37 X1886, 417.92/63.37 X1886)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1890, 417.92/63.37 X1892, 417.92/63.37 X1894:( 417.92/63.37 ($i * $i) > 417.92/63.37 $o)]: 417.92/63.37 (( 417.92/63.37 ![X1896]: 417.92/63.37 (in( 417.92/63.37 X1896, 417.92/63.37 X1890) => 417.92/63.37 (?[X1898]: 417.92/63.37 (X1894( 417.92/63.37 X1896, 417.92/63.37 X1898) & 417.92/63.37 in( 417.92/63.37 X1898, 417.92/63.37 X1892))))) => 417.92/63.37 (![X1900]: 417.92/63.37 (in( 417.92/63.37 X1900, 417.92/63.37 breln1Set( 417.92/63.37 X1892)) => 417.92/63.37 (reflwellordering( 417.92/63.37 X1892, 417.92/63.37 X1900) => 417.92/63.37 (![X1902]: 417.92/63.37 (in( 417.92/63.37 X1902, 417.92/63.37 X1890) => 417.92/63.37 singleton( 417.92/63.37 dsetconstr( 417.92/63.37 X1892, 417.92/63.37 ^[V_53]: 417.92/63.37 (( 417.92/63.37 ![X1904]: 417.92/63.37 (in( 417.92/63.37 X1904, 417.92/63.37 X1892) => 417.92/63.37 (X1894( 417.92/63.37 X1902, 417.92/63.37 X1904) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 V_53, 417.92/63.37 X1904), 417.92/63.37 X1900)))) & 417.92/63.37 X1894( 417.92/63.37 X1902, 417.92/63.37 V_53))))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1906, 417.92/63.37 X1908:( 417.92/63.37 ($i * $i) > 417.92/63.37 $o)]: 417.92/63.37 subset( 417.92/63.37 dpsetconstr( 417.92/63.37 X1906, 417.92/63.37 X1906, 417.92/63.37 ^[V_54, 417.92/63.37 V_55]: 417.92/63.37 X1908( 417.92/63.37 V_54,V_55)), 417.92/63.37 cartprod( 417.92/63.37 X1906, 417.92/63.37 X1906))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1910, 417.92/63.37 X1912]: 417.92/63.37 (subset( 417.92/63.37 X1912, 417.92/63.37 cartprod( 417.92/63.37 X1910, 417.92/63.37 X1910)) => 417.92/63.37 (![X1914:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ![X1916]: 417.92/63.37 (in( 417.92/63.37 X1916, 417.92/63.37 X1910) => 417.92/63.37 (![X1918]: 417.92/63.37 (in( 417.92/63.37 X1918, 417.92/63.37 X1910) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1916, 417.92/63.37 X1918), 417.92/63.37 X1912) => 417.92/63.37 X1914( 417.92/63.37 kpair( 417.92/63.37 X1916, 417.92/63.37 X1918))))))) => 417.92/63.37 (![X1920]: 417.92/63.37 (in( 417.92/63.37 X1920, 417.92/63.37 X1912) => 417.92/63.37 X1914( 417.92/63.37 X1920))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1922, 417.92/63.37 X1924]: 417.92/63.37 (subset( 417.92/63.37 X1924, 417.92/63.37 cartprod( 417.92/63.37 X1922, 417.92/63.37 X1922)) => 417.92/63.37 (![X1926]: 417.92/63.37 (subset( 417.92/63.37 X1926, 417.92/63.37 cartprod( 417.92/63.37 X1922, 417.92/63.37 X1922)) => 417.92/63.37 (( 417.92/63.37 ![X1928]: 417.92/63.37 (in( 417.92/63.37 X1928, 417.92/63.37 X1922) => 417.92/63.37 (![X1930]: 417.92/63.37 (in( 417.92/63.37 X1930, 417.92/63.37 X1922) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1928, 417.92/63.37 X1930), 417.92/63.37 X1924) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X1928, 417.92/63.37 X1930), 417.92/63.37 X1926)))))) => 417.92/63.37 subset( 417.92/63.37 X1924, 417.92/63.37 X1926)))))) => 417.92/63.37 ( 417.92/63.37 ![X1932, 417.92/63.37 X1934]: 417.92/63.37 (subset( 417.92/63.37 X1934, 417.92/63.37 cartprod( 417.92/63.37 X1932, 417.92/63.37 X1932)) => 417.92/63.37 (![X1936]: 417.92/63.37 (subset( 417.92/63.37 X1936, 417.92/63.37 cartprod( 417.92/63.37 X1932, 417.92/63.37 X1932)) => 417.92/63.37 (( 417.92/63.37 ![X1938]: 417.92/63.37 (in( 417.92/63.37 X1938, 417.92/63.37 X1932) => 417.92/63.37 (![X1940]: 417.92/63.37 (in( 417.92/63.37 X1940, 417.92/63.37 X1932) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1938, 417.92/63.37 X1940), 417.92/63.37 X1934) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X1938, 417.92/63.37 X1940), 417.92/63.37 X1936)))))) => 417.92/63.37 (( 417.92/63.37 ![X1942]: 417.92/63.37 (in( 417.92/63.37 X1942, 417.92/63.37 X1932) => 417.92/63.37 (![X1944]: 417.92/63.37 (in( 417.92/63.37 X1944, 417.92/63.37 X1932) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1942, 417.92/63.37 X1944), 417.92/63.37 X1936) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X1942, 417.92/63.37 X1944), 417.92/63.37 X1934)))))) => 417.92/63.37 (X1934 = 417.92/63.37 X1936)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 417.92/63.37 tff(zf_stmt_14, negated_conjecture, 417.92/63.37 (~ 417.92/63.37 ((![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))) => 417.92/63.37 ((![X10]: (~in(X10,emptyset))) => 417.92/63.37 ((![X12,X14,X16]: 417.92/63.37 (in(X16,setadjoin(X12,X14)) <=> zip_tseitin_0(X16,X14,X12))) => 417.92/63.37 ((![X18,X20]: 417.92/63.37 (in(X20,powerset(X18)) <=> (![X22]: zip_tseitin_1(X22,X20,X18)))) => 417.92/63.37 ((![X24,X26]: 417.92/63.37 (in(X26,setunion(X24)) <=> (?[X28]: zip_tseitin_2(X28,X26,X24)))) => 417.92/63.37 (in(emptyset,omega) => 417.92/63.37 ((![X30]: (in(X30,omega) => in(setadjoin(X30,X30),omega))) => 417.92/63.37 ((![X32]: 417.92/63.37 ((in(emptyset,X32) & 417.92/63.37 (![X34]: 417.92/63.37 ((in(X34,omega) & in(X34,X32)) => 417.92/63.37 in(setadjoin(X34,X34),X32)))) => 417.92/63.37 (![X36]: (in(X36,omega) => in(X36,X32))))) => 417.92/63.37 ((![X38:(($i * $i) > $o),X40]: 417.92/63.37 ((![X42]: 417.92/63.37 (in(X42,X40) => 417.92/63.37 (?[X44]: 417.92/63.37 ((![X46]: (X38(X42,X46) => (X44 = X46))) & 417.92/63.37 X38(X42,X44))))) => 417.92/63.37 (?[X48]: 417.92/63.37 (![X50]: 417.92/63.37 (in(X50,X48) <=> 417.92/63.37 (?[X52]: zip_tseitin_3(X52,X50,X40,X38))))))) => 417.92/63.37 ((![X54]: 417.92/63.37 ((?[X56]: in(X56,X54)) => 417.92/63.37 (?[X58]: 417.92/63.37 ((~(?[X60]: (in(X60,X54) & in(X60,X58)))) & in(X58,X54))))) => 417.92/63.37 ((![X62]: 417.92/63.37 (?[X64]: 417.92/63.37 ((![X66]: 417.92/63.37 (((![X68]: (in(X68,X66) => in(X68,X62))) & 417.92/63.37 (?[X70]: in(X70,X66))) => 417.92/63.37 (?[X72,X74]: 417.92/63.37 ((![X76]: 417.92/63.37 (in(X76,X64) => 417.92/63.37 ((![X78]: (in(X78,X76) => in(X78,X72))) | 417.92/63.37 in(X74,X76)))) & 417.92/63.37 (~(?[X80]: (in(X80,X66) & in(X80,X72)))) & 417.92/63.37 in(X74,X66) & in(X72,X64))))) & 417.92/63.37 (![X82,X84]: 417.92/63.37 ((in(X82,X64) & in(X84,X64)) => 417.92/63.37 ((![X86]: (in(X86,X82) => in(X86,X84))) | 417.92/63.37 (![X88]: (in(X88,X84) => in(X88,X82)))))) & 417.92/63.37 (![X90,X92]: 417.92/63.37 ((in(X90,X62) & in(X92,X62)) => 417.92/63.37 ((![X94]: 417.92/63.37 (in(X94,X64) => (in(X90,X94) <=> in(X92,X94)))) => 417.92/63.37 (X90 = X92)))) & 417.92/63.37 (![X96]: 417.92/63.37 (in(X96,X64) => 417.92/63.37 (![X98]: (in(X98,X96) => in(X98,X62)))))))) => 417.92/63.37 ((![X100:(($i > $o))]: 417.92/63.37 ((?[X102]: 417.92/63.37 ((![X104]: (X100(X104) => (X102 = X104))) & X100(X102))) => 417.92/63.37 X100(descr(^[V_1]: X100(V_1))))) => 417.92/63.37 ((![X106,X108:(($i > $o)),X110]: 417.92/63.37 (in(X110,X106) => 417.92/63.37 (X108(X110) => 417.92/63.37 in(X110,dsetconstr(X106,^[V_2]: X108(V_2)))))) => 417.92/63.37 ((![X112,X114:(($i > $o)),X116]: 417.92/63.37 (in(X116,dsetconstr(X112,^[V_3]: X114(V_3))) => 417.92/63.37 in(X116,X112))) => 417.92/63.37 ((![X118,X120:(($i > $o)),X122]: 417.92/63.37 (in(X122,dsetconstr(X118,^[V_4]: X120(V_4))) => 417.92/63.37 X120(X122))) => 417.92/63.37 ((![X124:(($i > $o))]: 417.92/63.37 ((?[X126]: 417.92/63.37 ((![X128]: (X124(X128) => (X126 = X128))) & 417.92/63.37 X124(X126))) => 417.92/63.37 (?[X130]: 417.92/63.37 ((![X132]: (X124(X132) => (X130 = X132))) & 417.92/63.37 X124(X130))))) => 417.92/63.37 ((![X134:$o,X136]: (in(X136,prop2set(X134)) => X134)) => 417.92/63.37 ((![X138]: (in(X138,emptyset) => (![X140:$o]: X140))) => 417.92/63.37 ((![X142]: (~in(X142,emptyset))) => 417.92/63.37 ((![X144]: (~in(X144,emptyset))) => 417.92/63.37 ((![X146:(($i > $o))]: 417.92/63.37 ((?[X148]: 417.92/63.37 ((![X150]: (X146(X150) => (X148 = X150))) & 417.92/63.37 X146(X148))) => 417.92/63.37 (?[X152]: X146(X152)))) => 417.92/63.37 ((![X154,X156]: 417.92/63.37 ((![X158]: (in(X158,X154) => in(X158,X156))) => 417.92/63.37 ((![X160]: (in(X160,X156) => in(X160,X154))) => 417.92/63.37 (X154 = X156)))) => 417.92/63.37 ((![X162]: 417.92/63.37 ((![X164]: (~in(X164,X162))) => 417.92/63.37 (X162 = emptyset))) => 417.92/63.37 ((![X166]: 417.92/63.37 ((![X168]: (~in(X168,X166))) => 417.92/63.37 (X166 = emptyset))) => 417.92/63.37 ((![X170,X172:(($i > $o)),X174]: 417.92/63.37 (in(X174,X170) => 417.92/63.37 (in(X174,dsetconstr(X170,^[V_5]: X172(V_5))) <=> 417.92/63.37 X172(X174)))) => 417.92/63.37 ((![X176]: 417.92/63.37 ((X176 != emptyset) => 417.92/63.37 (?[X178]: in(X178,X176)))) => 417.92/63.37 ((![X180,X182:(($i > $o)),X184]: 417.92/63.37 (in(X184,X180) => 417.92/63.37 (X182(X184) => 417.92/63.37 (dsetconstr(X180,^[V_6]: X182(V_6)) != 417.92/63.37 emptyset)))) => 417.92/63.37 ((![X186]: 417.92/63.37 ((?[X188]: in(X188,X186)) => 417.92/63.37 (X186 != emptyset))) => 417.92/63.37 ((![X190,X192]: in(X190,setadjoin(X190,X192))) => 417.92/63.37 (in(emptyset,setadjoin(emptyset,emptyset)) => 417.92/63.37 ((![X194,X196,X198]: 417.92/63.37 (in(X198,X196) => 417.92/63.37 in(X198,setadjoin(X194,X196)))) => 417.92/63.37 ((![X200,X202,X204]: 417.92/63.37 (in(X204,setadjoin(X200,X202)) => 417.92/63.37 (![X206:$o]: 417.92/63.37 (((X204 = X200) => X206) => 417.92/63.37 ((in(X204,X202) => X206) => X206))))) => 417.92/63.37 ((![X208,X210,X212]: 417.92/63.37 (in(X212,setadjoin(X208,X210)) => 417.92/63.37 ((X212 = X208) | in(X212,X210)))) => 417.92/63.37 ((![X214]: 417.92/63.37 (dsetconstr(X214,^[V_7]: $true) = 417.92/63.37 X214)) => 417.92/63.37 ((![X216,X218]: 417.92/63.37 ((![X220]: 417.92/63.37 (in(X220,X218) => in(X220,X216))) => 417.92/63.37 in(X218,powerset(X216)))) => 417.92/63.37 ((![X222]: in(emptyset,powerset(X222))) => 417.92/63.37 ((![X224]: 417.92/63.37 in(emptyset,powerset(X224))) => 417.92/63.37 ((![X226,X228,X230]: 417.92/63.37 (in(X228,powerset(X226)) => 417.92/63.37 (in(X230,X228) => in(X230,X226)))) => 417.92/63.37 ((![X232,X234,X236]: 417.92/63.37 (in(X234,X236) => 417.92/63.37 (in(X236,X232) => 417.92/63.37 in(X234,setunion(X232))))) => 417.92/63.37 ((![X238,X240]: 417.92/63.37 (in(X240,setunion(X238)) => 417.92/63.37 (![X242:$o]: 417.92/63.37 ((![X244]: 417.92/63.37 (in(X240,X244) => 417.92/63.37 (in(X244,X238) => 417.92/63.37 X242))) => 417.92/63.37 X242)))) => 417.92/63.37 ((![X246,X248]: 417.92/63.37 (in(X248,X246) => 417.92/63.37 in(X248, 417.92/63.37 powerset(setunion(X246))))) => 417.92/63.37 ((![X250:(($i > $o))]: 417.92/63.37 ((?[X252]: 417.92/63.37 ((![X254]: 417.92/63.37 (X250(X254) => 417.92/63.37 (X252 = X254))) & 417.92/63.37 X250(X252))) => 417.92/63.37 (?[X256]: 417.92/63.37 (![X258]: 417.92/63.37 (X250(X258) <=> 417.92/63.37 (X258 = X256)))))) => 417.92/63.37 ((![X260]: 417.92/63.37 ((X260 != emptyset) => 417.92/63.37 (?[X262]: in(X262,X260)))) => 417.92/63.37 ((![X264,X266]: 417.92/63.37 (in(X264, 417.92/63.37 setadjoin(X266, 417.92/63.37 emptyset)) => 417.92/63.37 (X264 = X266))) => 417.92/63.37 ((![X268,X270]: 417.92/63.37 ((X268 != X270) => 417.92/63.37 (~ 417.92/63.37 in(X270, 417.92/63.37 setadjoin(X268, 417.92/63.37 emptyset))))) => 417.92/63.37 ((![X272,X274]: 417.92/63.37 ((X272 = X274) => 417.92/63.37 in(X272, 417.92/63.37 setadjoin(X274, 417.92/63.37 emptyset)))) => 417.92/63.37 ((![X276,X278]: 417.92/63.37 (in(X276, 417.92/63.37 setadjoin(X278, 417.92/63.37 emptyset)) => 417.92/63.37 in(X278, 417.92/63.37 setadjoin(X276, 417.92/63.37 emptyset)))) => 417.92/63.37 ((![X280,X282,X284]: 417.92/63.37 (in(X284, 417.92/63.37 setadjoin( 417.92/63.37 X280, 417.92/63.37 setadjoin( 417.92/63.37 X282,emptyset))) => 417.92/63.37 ((X284 = X280) | 417.92/63.37 (X284 = X282)))) => 417.92/63.37 ((![X286,X288]: 417.92/63.37 in(X286, 417.92/63.37 setadjoin( 417.92/63.37 X286, 417.92/63.37 setadjoin( 417.92/63.37 X288,emptyset)))) => 417.92/63.37 ((![X290,X292]: 417.92/63.37 in(X292, 417.92/63.37 setadjoin( 417.92/63.37 X290, 417.92/63.37 setadjoin( 417.92/63.37 X292,emptyset)))) => 417.92/63.37 ((![X294, 417.92/63.37 X296:(($i > $o))]: 417.92/63.37 ((?[X298]: 417.92/63.37 (X296(X298) & 417.92/63.37 in(X298,X294))) => 417.92/63.37 (dsetconstr( 417.92/63.37 X294, 417.92/63.37 ^[V_8]: X296(V_8)) != 417.92/63.37 emptyset))) => 417.92/63.37 ((![X300:(($i > $o)), 417.92/63.37 X302]: 417.92/63.37 (in(X302,emptyset) => 417.92/63.37 X300(X302))) => 417.92/63.37 ((![X304, 417.92/63.37 X306:(($i > $o))]: 417.92/63.37 ((~ 417.92/63.37 (![X308]: 417.92/63.37 (in( 417.92/63.37 X308,X304) => 417.92/63.37 X306(X308)))) => 417.92/63.37 (?[X310]: 417.92/63.37 ((~X306(X310)) & 417.92/63.37 in(X310,X304))))) => 417.92/63.37 ((![X312, 417.92/63.37 X314:(($i > $o))]: 417.92/63.37 ((![X316]: 417.92/63.37 (in( 417.92/63.37 X316,X312) => 417.92/63.37 (~ 417.92/63.37 X314( 417.92/63.37 X316)))) => 417.92/63.37 (~ 417.92/63.37 (?[X318]: 417.92/63.37 (X314( 417.92/63.37 X318) & 417.92/63.37 in( 417.92/63.37 X318,X312)))))) => 417.92/63.37 ((![X320, 417.92/63.37 X322:(($i > $o))]: 417.92/63.37 ((~ 417.92/63.37 (?[X324]: 417.92/63.37 ( 417.92/63.37 X322( 417.92/63.37 X324) & 417.92/63.37 in( 417.92/63.37 X324,X320)))) => 417.92/63.37 (![X326]: 417.92/63.37 (in( 417.92/63.37 X326,X320) => 417.92/63.37 (~ 417.92/63.37 X322( 417.92/63.37 X326)))))) => 417.92/63.37 ((![X328, 417.92/63.37 X330:( 417.92/63.37 ($i > $o))]: 417.92/63.37 ((?[X332]: 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 X330( 417.92/63.37 X332)) & 417.92/63.37 in( 417.92/63.37 X332,X328))) => 417.92/63.37 (~ 417.92/63.37 (![X334]: 417.92/63.37 (in( 417.92/63.37 X334,X328) => 417.92/63.37 X330( 417.92/63.37 X334)))))) => 417.92/63.37 ((![X336:$o]: 417.92/63.37 (X336 => 417.92/63.37 in(emptyset, 417.92/63.37 prop2set( 417.92/63.37 X336)))) => 417.92/63.37 ((![X338:$o]: 417.92/63.37 (X338 => 417.92/63.37 set2prop( 417.92/63.37 prop2set( 417.92/63.37 X338)))) => 417.92/63.37 ((![X340, 417.92/63.37 X342:( 417.92/63.37 ($i > $o))]: 417.92/63.37 ((~ 417.92/63.37 ( 417.92/63.37 ?[X344]: 417.92/63.37 (X342( 417.92/63.37 X344) & 417.92/63.37 in( 417.92/63.37 X344,X340)))) => 417.92/63.37 (![X346]: 417.92/63.37 (in( 417.92/63.37 X346,X340) => 417.92/63.37 (~ 417.92/63.37 X342( 417.92/63.37 X346)))))) => 417.92/63.37 ((![X348, 417.92/63.37 X350:( 417.92/63.37 ($i > $o))]: 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 ( 417.92/63.37 ![X352]: 417.92/63.37 (in( 417.92/63.37 X352,X348) => 417.92/63.37 X350( 417.92/63.37 X352)))) => 417.92/63.37 ( 417.92/63.37 ?[X354]: 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 X350( 417.92/63.37 X354)) & 417.92/63.37 in( 417.92/63.37 X354,X348))))) => 417.92/63.37 ((![X356:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ?[X358]: 417.92/63.37 (( 417.92/63.37 ![X360]: 417.92/63.37 (X356( 417.92/63.37 X360) => 417.92/63.37 (X358 = 417.92/63.37 X360))) & 417.92/63.37 X356( 417.92/63.37 X358))) => 417.92/63.37 ( 417.92/63.37 ?[X362]: 417.92/63.37 (( 417.92/63.37 ![X364]: 417.92/63.37 (X356( 417.92/63.37 X364) => 417.92/63.37 (X362 = 417.92/63.37 X364))) & 417.92/63.37 X356( 417.92/63.37 X362))))) => 417.92/63.37 ((![X366:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ?[X368]: 417.92/63.37 X366( 417.92/63.37 X368)) => 417.92/63.37 (( 417.92/63.37 ![X370, 417.92/63.37 X372]: 417.92/63.37 (X366( 417.92/63.37 X370) => 417.92/63.37 (X366( 417.92/63.37 X372) => 417.92/63.37 (X370 = 417.92/63.37 X372)))) => 417.92/63.37 (?[X374]: 417.92/63.37 (( 417.92/63.37 ![X376]: 417.92/63.37 (X366( 417.92/63.37 X376) => 417.92/63.37 (X374 = 417.92/63.37 X376))) & 417.92/63.37 X366( 417.92/63.37 X374)))))) => 417.92/63.37 ((![X378:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ?[X380]: 417.92/63.37 (![X382]: 417.92/63.37 (X378( 417.92/63.37 X382) <=> 417.92/63.37 (X382 = 417.92/63.37 X380)))) => 417.92/63.37 (?[X384]: 417.92/63.37 (( 417.92/63.37 ![X386]: 417.92/63.37 (X378( 417.92/63.37 X386) => 417.92/63.37 (X384 = 417.92/63.37 X386))) & 417.92/63.37 X378( 417.92/63.37 X384))))) => 417.92/63.37 (( 417.92/63.37 ![X388, 417.92/63.37 X390]: 417.92/63.37 (( 417.92/63.37 X388 = 417.92/63.37 X390) => 417.92/63.37 (![X392, 417.92/63.37 X394]: 417.92/63.37 (( 417.92/63.37 X392 = 417.92/63.37 X394) => 417.92/63.37 (in( 417.92/63.37 X392,X388) => 417.92/63.37 in( 417.92/63.37 X394,X390)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X396, 417.92/63.37 X398]: 417.92/63.37 (( 417.92/63.37 X396 = 417.92/63.37 X398) => 417.92/63.37 (![X400, 417.92/63.37 X402]: 417.92/63.37 (( 417.92/63.37 X400 = 417.92/63.37 X402) => 417.92/63.37 (in( 417.92/63.37 X400,X396) <=> 417.92/63.37 in( 417.92/63.37 X402,X398)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X404:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ?[X406]: 417.92/63.37 (( 417.92/63.37 ![X408]: 417.92/63.37 (X404( 417.92/63.37 X408) => 417.92/63.37 (X406 = 417.92/63.37 X408))) & 417.92/63.37 X404( 417.92/63.37 X406))) => 417.92/63.37 (![X410, 417.92/63.37 X412]: 417.92/63.37 (X404( 417.92/63.37 X410) => 417.92/63.37 (X404( 417.92/63.37 X412) => 417.92/63.37 (X410 = 417.92/63.37 X412)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X414:( 417.92/63.37 ( 417.92/63.37 $i > $o)), 417.92/63.37 X416:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ![X418, 417.92/63.37 X420]: 417.92/63.37 (( 417.92/63.37 X418 = 417.92/63.37 X420) => 417.92/63.37 (X414( 417.92/63.37 X418) <=> 417.92/63.37 X416( 417.92/63.37 X420)))) => 417.92/63.37 (( 417.92/63.37 ?[X422]: 417.92/63.37 zip_tseitin_5( 417.92/63.37 X422,X414)) <=> 417.92/63.37 (?[X426]: 417.92/63.37 zip_tseitin_5( 417.92/63.37 X426,X416))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 emptyset = 417.92/63.37 emptyset) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X430, 417.92/63.37 X432]: 417.92/63.37 (( 417.92/63.37 X430 = 417.92/63.37 X432) => 417.92/63.37 (![X434, 417.92/63.37 X436]: 417.92/63.37 (( 417.92/63.37 X434 = 417.92/63.37 X436) => 417.92/63.37 (setadjoin( 417.92/63.37 X430,X434) = 417.92/63.37 setadjoin( 417.92/63.37 X432,X436)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X438, 417.92/63.37 X440]: 417.92/63.37 (( 417.92/63.37 X438 = 417.92/63.37 X440) => 417.92/63.37 (powerset( 417.92/63.37 X438) = 417.92/63.37 powerset( 417.92/63.37 X440)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X442, 417.92/63.37 X444]: 417.92/63.37 (( 417.92/63.37 X442 = 417.92/63.37 X444) => 417.92/63.37 (setunion( 417.92/63.37 X442) = 417.92/63.37 setunion( 417.92/63.37 X444)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 omega = 417.92/63.37 omega) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X446:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ?[X448]: 417.92/63.37 (( 417.92/63.37 ![X450]: 417.92/63.37 (X446( 417.92/63.37 X450) => 417.92/63.37 (X448 = 417.92/63.37 X450))) & 417.92/63.37 X446( 417.92/63.37 X448))) => 417.92/63.37 (![X452, 417.92/63.37 X454]: 417.92/63.37 (X446( 417.92/63.37 X452) => 417.92/63.37 (X446( 417.92/63.37 X454) => 417.92/63.37 (X452 = 417.92/63.37 X454)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X456:( 417.92/63.37 ( 417.92/63.37 $i > $o)), 417.92/63.37 X458:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ![X460, 417.92/63.37 X462]: 417.92/63.37 (( 417.92/63.37 X460 = 417.92/63.37 X462) => 417.92/63.37 (X456( 417.92/63.37 X460) <=> 417.92/63.37 X458( 417.92/63.37 X462)))) => 417.92/63.37 (( 417.92/63.37 ?[X464]: 417.92/63.37 (( 417.92/63.37 ![X466]: 417.92/63.37 (X456( 417.92/63.37 X466) => 417.92/63.37 (X464 = 417.92/63.37 X466))) & 417.92/63.37 X456( 417.92/63.37 X464))) => 417.92/63.37 (( 417.92/63.37 ?[X468]: 417.92/63.37 (( 417.92/63.37 ![X470]: 417.92/63.37 (X458( 417.92/63.37 X470) => 417.92/63.37 (X468 = 417.92/63.37 X470))) & 417.92/63.37 X458( 417.92/63.37 X468))) => 417.92/63.37 (descr( 417.92/63.37 ^[V_9]: 417.92/63.37 X456(V_9)) = 417.92/63.37 descr( 417.92/63.37 ^[V_10]: 417.92/63.37 X458( 417.92/63.37 V_10))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X472, 417.92/63.37 X474]: 417.92/63.37 (( 417.92/63.37 X472 = 417.92/63.37 X474) => 417.92/63.37 (![X476:( 417.92/63.37 ( 417.92/63.37 $i > $o)), 417.92/63.37 X478:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ![X480]: 417.92/63.37 (in( 417.92/63.37 X480,X472) => 417.92/63.37 (![X482]: 417.92/63.37 (in( 417.92/63.37 X482,X474) => 417.92/63.37 (( 417.92/63.37 X480 = 417.92/63.37 X482) => 417.92/63.37 (X476( 417.92/63.37 X480) <=> 417.92/63.37 X478( 417.92/63.37 X482))))))) => 417.92/63.37 (dsetconstr( 417.92/63.37 X472, 417.92/63.37 ^[V_11]: 417.92/63.37 X476( 417.92/63.37 V_11)) = 417.92/63.37 dsetconstr( 417.92/63.37 X474, 417.92/63.37 ^[V_12]: 417.92/63.37 X478( 417.92/63.37 V_12))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X484, 417.92/63.37 X486]: 417.92/63.37 (( 417.92/63.37 ![X488]: 417.92/63.37 (in( 417.92/63.37 X488,X484) => 417.92/63.37 in( 417.92/63.37 X488,X486))) => 417.92/63.37 subset( 417.92/63.37 X484,X486))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X490, 417.92/63.37 X492]: 417.92/63.37 (( 417.92/63.37 X490 = 417.92/63.37 X492) => 417.92/63.37 subset( 417.92/63.37 X492,X490))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X494, 417.92/63.37 X496]: 417.92/63.37 (( 417.92/63.37 X494 = 417.92/63.37 X496) => 417.92/63.37 subset( 417.92/63.37 X494,X496))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X498, 417.92/63.37 X500]: 417.92/63.37 (( 417.92/63.37 ![X502]: 417.92/63.37 (in( 417.92/63.37 X502,X498) => 417.92/63.37 in( 417.92/63.37 X502,X500))) => 417.92/63.37 subset( 417.92/63.37 X498,X500))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X504]: 417.92/63.37 subset( 417.92/63.37 emptyset, 417.92/63.37 X504)) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X506, 417.92/63.37 X508,X510]: 417.92/63.37 (subset( 417.92/63.37 X506,X508) => 417.92/63.37 (in( 417.92/63.37 X510,X506) => 417.92/63.37 in( 417.92/63.37 X510,X508)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X512, 417.92/63.37 X514,X516]: 417.92/63.37 (subset( 417.92/63.37 X512,X514) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X516,X514)) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X516,X512))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X518, 417.92/63.37 X520,X522]: 417.92/63.37 (in( 417.92/63.37 X522,X518) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X522,X520)) => 417.92/63.37 (~ 417.92/63.37 subset( 417.92/63.37 X518,X520))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X524, 417.92/63.37 X526]: 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 subset( 417.92/63.37 X524,X526)) => 417.92/63.37 (X524 != 417.92/63.37 X526))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X528, 417.92/63.37 X530,X532]: 417.92/63.37 (in( 417.92/63.37 X532,X528) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X532,X530)) => 417.92/63.37 (X528 != 417.92/63.37 X530)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X534]: 417.92/63.37 subset( 417.92/63.37 X534,X534)) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X536, 417.92/63.37 X538,X540]: 417.92/63.37 (subset( 417.92/63.37 X536,X538) => 417.92/63.37 (subset( 417.92/63.37 X538,X540) => 417.92/63.37 subset( 417.92/63.37 X536,X540)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X542, 417.92/63.37 X544]: 417.92/63.37 subset( 417.92/63.37 X544, 417.92/63.37 setadjoin( 417.92/63.37 X542,X544))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X546, 417.92/63.37 X548,X550]: 417.92/63.37 (subset( 417.92/63.37 X546,X550) => 417.92/63.37 subset( 417.92/63.37 X546, 417.92/63.37 setadjoin( 417.92/63.37 X548,X550)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X552, 417.92/63.37 X554]: 417.92/63.37 (subset( 417.92/63.37 X552,X554) => 417.92/63.37 in( 417.92/63.37 X552, 417.92/63.37 powerset( 417.92/63.37 X554)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X556, 417.92/63.37 X558]: 417.92/63.37 (subset( 417.92/63.37 X556,X558) => 417.92/63.37 (subset( 417.92/63.37 X558,X556) => 417.92/63.37 (X556 = 417.92/63.37 X558)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X560]: 417.92/63.37 (subset( 417.92/63.37 X560, 417.92/63.37 emptyset) => 417.92/63.37 (X560 = 417.92/63.37 emptyset))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X562, 417.92/63.37 X564]: 417.92/63.37 (subset( 417.92/63.37 X564,X562) => 417.92/63.37 in( 417.92/63.37 X564, 417.92/63.37 powerset( 417.92/63.37 X562)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X566, 417.92/63.37 X568]: 417.92/63.37 (in( 417.92/63.37 X568, 417.92/63.37 powerset( 417.92/63.37 X566)) => 417.92/63.37 subset( 417.92/63.37 X568,X566))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X570]: 417.92/63.37 in( 417.92/63.37 X570, 417.92/63.37 powerset( 417.92/63.37 X570))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X572, 417.92/63.37 X574]: 417.92/63.37 (subset( 417.92/63.37 X572,X574) => 417.92/63.37 subset( 417.92/63.37 powerset( 417.92/63.37 X572), 417.92/63.37 powerset( 417.92/63.37 X574)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X576, 417.92/63.37 X578:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 in( 417.92/63.37 dsetconstr( 417.92/63.37 X576, 417.92/63.37 ^[V_13]: 417.92/63.37 X578( 417.92/63.37 V_13)), 417.92/63.37 powerset( 417.92/63.37 X576))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X580, 417.92/63.37 X582:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 subset( 417.92/63.37 dsetconstr( 417.92/63.37 X580, 417.92/63.37 ^[V_14]: 417.92/63.37 X582( 417.92/63.37 V_14)), 417.92/63.37 X580)) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X584, 417.92/63.37 X586,X588]: 417.92/63.37 (in( 417.92/63.37 X588,X584) => 417.92/63.37 in( 417.92/63.37 X588, 417.92/63.37 binunion( 417.92/63.37 X584,X586)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X590, 417.92/63.37 X592]: 417.92/63.37 in( 417.92/63.37 X592, 417.92/63.37 setadjoin( 417.92/63.37 X590, 417.92/63.37 setadjoin( 417.92/63.37 X592, 417.92/63.37 emptyset)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X594, 417.92/63.37 X596,X598]: 417.92/63.37 (in( 417.92/63.37 X598,X596) => 417.92/63.37 in( 417.92/63.37 X598, 417.92/63.37 binunion( 417.92/63.37 X594,X596)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X600, 417.92/63.37 X602, 417.92/63.37 X604, 417.92/63.37 X606:$o]: 417.92/63.37 (in( 417.92/63.37 X604, 417.92/63.37 binunion( 417.92/63.37 X600,X602)) => 417.92/63.37 (( 417.92/63.37 in( 417.92/63.37 X604,X600) => 417.92/63.37 X606) => 417.92/63.37 (( 417.92/63.37 in( 417.92/63.37 X604,X602) => 417.92/63.37 X606) => 417.92/63.37 X606)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X608, 417.92/63.37 X610,X612]: 417.92/63.37 (in( 417.92/63.37 X612, 417.92/63.37 binunion( 417.92/63.37 X608,X610)) => 417.92/63.37 (in( 417.92/63.37 X612,X608) | 417.92/63.37 in( 417.92/63.37 X612,X610)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X614, 417.92/63.37 X616]: 417.92/63.37 subset( 417.92/63.37 X614, 417.92/63.37 binunion( 417.92/63.37 X614,X616))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X618, 417.92/63.37 X620]: 417.92/63.37 subset( 417.92/63.37 X620, 417.92/63.37 binunion( 417.92/63.37 X618,X620))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X622, 417.92/63.37 X624,X626]: 417.92/63.37 (in( 417.92/63.37 X626,X622) => 417.92/63.37 (in( 417.92/63.37 X626,X624) => 417.92/63.37 in( 417.92/63.37 X626, 417.92/63.37 binintersect( 417.92/63.37 X622,X624))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X628, 417.92/63.37 X630,X632]: 417.92/63.37 (subset( 417.92/63.37 X632,X628) => 417.92/63.37 (subset( 417.92/63.37 X632,X630) => 417.92/63.37 subset( 417.92/63.37 X632, 417.92/63.37 binintersect( 417.92/63.37 X628,X630))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X634, 417.92/63.37 X636,X638]: 417.92/63.37 (in( 417.92/63.37 X638, 417.92/63.37 binintersect( 417.92/63.37 X634,X636)) => 417.92/63.37 in( 417.92/63.37 X638,X634))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X640, 417.92/63.37 X642]: 417.92/63.37 subset( 417.92/63.37 binintersect( 417.92/63.37 X640,X642), 417.92/63.37 X640)) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X644, 417.92/63.37 X646]: 417.92/63.37 (subset( 417.92/63.37 X644,X646) => 417.92/63.37 (binintersect( 417.92/63.37 X644,X646) = 417.92/63.37 X644))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X648, 417.92/63.37 X650]: 417.92/63.37 (( 417.92/63.37 binintersect( 417.92/63.37 X648,X650) = 417.92/63.37 X650) => 417.92/63.37 subset( 417.92/63.37 X650,X648))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X652, 417.92/63.37 X654,X656]: 417.92/63.37 (in( 417.92/63.37 X656, 417.92/63.37 binintersect( 417.92/63.37 X652,X654)) => 417.92/63.37 in( 417.92/63.37 X656,X654))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X658, 417.92/63.37 X660]: 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 ( 417.92/63.37 ?[X662]: 417.92/63.37 (in( 417.92/63.37 X662,X660) & 417.92/63.37 in( 417.92/63.37 X662,X658)))) => 417.92/63.37 (binintersect( 417.92/63.37 X658,X660) = 417.92/63.37 emptyset))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X664, 417.92/63.37 X666]: 417.92/63.37 subset( 417.92/63.37 binintersect( 417.92/63.37 X664,X666), 417.92/63.37 X666)) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X668, 417.92/63.37 X670]: 417.92/63.37 (subset( 417.92/63.37 X670,X668) => 417.92/63.37 (binintersect( 417.92/63.37 X668,X670) = 417.92/63.37 X670))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X672, 417.92/63.37 X674]: 417.92/63.37 (( 417.92/63.37 binintersect( 417.92/63.37 X672,X674) = 417.92/63.37 X672) => 417.92/63.37 subset( 417.92/63.37 X672,X674))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X676, 417.92/63.37 X678,X680]: 417.92/63.37 (binintersect( 417.92/63.37 X676, 417.92/63.37 binunion( 417.92/63.37 X678,X680)) = 417.92/63.37 binunion( 417.92/63.37 binintersect( 417.92/63.37 X676,X678), 417.92/63.37 binintersect( 417.92/63.37 X676,X680)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X682, 417.92/63.37 X684,X686]: 417.92/63.37 (in( 417.92/63.37 X686,X682) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X686,X684)) => 417.92/63.37 in( 417.92/63.37 X686, 417.92/63.37 setminus( 417.92/63.37 X682,X684))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X688, 417.92/63.37 X690,X692]: 417.92/63.37 (in( 417.92/63.37 X692, 417.92/63.37 setminus( 417.92/63.37 X688,X690)) => 417.92/63.37 in( 417.92/63.37 X692,X688))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X694, 417.92/63.37 X696,X698]: 417.92/63.37 (in( 417.92/63.37 X698, 417.92/63.37 setminus( 417.92/63.37 X694,X696)) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X698,X696)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X700, 417.92/63.37 X702]: 417.92/63.37 (subset( 417.92/63.37 X700,X702) => 417.92/63.37 (setminus( 417.92/63.37 X700,X702) = 417.92/63.37 emptyset))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X704, 417.92/63.37 X706,X708]: 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X708, 417.92/63.37 setminus( 417.92/63.37 X704,X706))) => 417.92/63.37 (in( 417.92/63.37 X708,X704) => 417.92/63.37 in( 417.92/63.37 X708,X706)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X710, 417.92/63.37 X712,X714]: 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X714, 417.92/63.37 setminus( 417.92/63.37 X710,X712))) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X714,X712)) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X714,X710))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X716, 417.92/63.37 X718,X720]: 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X720,X716)) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X720, 417.92/63.37 setminus( 417.92/63.37 X716,X718))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X722, 417.92/63.37 X724,X726]: 417.92/63.37 (in( 417.92/63.37 X726,X724) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X726, 417.92/63.37 setminus( 417.92/63.37 X722,X724))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X728, 417.92/63.37 X730]: 417.92/63.37 subset( 417.92/63.37 setminus( 417.92/63.37 X728,X730), 417.92/63.37 X728)) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X732, 417.92/63.37 X734]: 417.92/63.37 (( 417.92/63.37 setminus( 417.92/63.37 X732,X734) = 417.92/63.37 emptyset) => 417.92/63.37 subset( 417.92/63.37 X732,X734))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X736, 417.92/63.37 X738,X740]: 417.92/63.37 (in( 417.92/63.37 X740, 417.92/63.37 symdiff( 417.92/63.37 X736,X738)) => 417.92/63.37 (![X742:$o]: 417.92/63.37 (( 417.92/63.37 in( 417.92/63.37 X740,X736) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X740,X738)) => 417.92/63.37 X742)) => 417.92/63.37 (( 417.92/63.37 ( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X740,X736)) => 417.92/63.37 ( 417.92/63.37 in( 417.92/63.37 X740,X738) => 417.92/63.37 X742)) => 417.92/63.37 X742))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X744, 417.92/63.37 X746,X748]: 417.92/63.37 (in( 417.92/63.37 X748,X744) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X748,X746)) => 417.92/63.37 in( 417.92/63.37 X748, 417.92/63.37 symdiff( 417.92/63.37 X744,X746))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X750, 417.92/63.37 X752,X754]: 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X754,X750)) => 417.92/63.37 (in( 417.92/63.37 X754,X752) => 417.92/63.37 in( 417.92/63.37 X754, 417.92/63.37 symdiff( 417.92/63.37 X750,X752))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X756, 417.92/63.37 X758,X760]: 417.92/63.37 (in( 417.92/63.37 X760,X756) => 417.92/63.37 (in( 417.92/63.37 X760,X758) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X760, 417.92/63.37 symdiff( 417.92/63.37 X756,X758)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X762, 417.92/63.37 X764,X766]: 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X766,X762)) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X766,X764)) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X766, 417.92/63.37 symdiff( 417.92/63.37 X762,X764)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X768, 417.92/63.37 X770]: 417.92/63.37 in( 417.92/63.37 X770, 417.92/63.37 setadjoin( 417.92/63.37 X768, 417.92/63.37 setadjoin( 417.92/63.37 X770, 417.92/63.37 emptyset)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X772, 417.92/63.37 X774]: 417.92/63.37 in( 417.92/63.37 X772, 417.92/63.37 setunion( 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X772, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X772, 417.92/63.37 setadjoin( 417.92/63.37 X774, 417.92/63.37 emptyset)), 417.92/63.37 emptyset))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X776, 417.92/63.37 X778]: 417.92/63.37 in( 417.92/63.37 X778, 417.92/63.37 setunion( 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X776, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X776, 417.92/63.37 setadjoin( 417.92/63.37 X778, 417.92/63.37 emptyset)), 417.92/63.37 emptyset))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X780, 417.92/63.37 X782]: 417.92/63.37 iskpair( 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X780, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X780, 417.92/63.37 setadjoin( 417.92/63.37 X782, 417.92/63.37 emptyset)), 417.92/63.37 emptyset)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X784, 417.92/63.37 X786]: 417.92/63.37 iskpair( 417.92/63.37 kpair( 417.92/63.37 X784,X786))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X788, 417.92/63.37 X790]: 417.92/63.37 (in( 417.92/63.37 X790,X788) => 417.92/63.37 subset( 417.92/63.37 setadjoin( 417.92/63.37 X790, 417.92/63.37 emptyset), 417.92/63.37 X788))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X792, 417.92/63.37 X794]: 417.92/63.37 (in( 417.92/63.37 X794,X792) => 417.92/63.37 in( 417.92/63.37 setadjoin( 417.92/63.37 X794, 417.92/63.37 emptyset), 417.92/63.37 powerset( 417.92/63.37 X792)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X796, 417.92/63.37 X798,X800]: 417.92/63.37 (in( 417.92/63.37 X800,X796) => 417.92/63.37 in( 417.92/63.37 setadjoin( 417.92/63.37 X800, 417.92/63.37 emptyset), 417.92/63.37 powerset( 417.92/63.37 binunion( 417.92/63.37 X796,X798))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X802, 417.92/63.37 X804,X806]: 417.92/63.37 (in( 417.92/63.37 X806, 417.92/63.37 setadjoin( 417.92/63.37 X802, 417.92/63.37 setadjoin( 417.92/63.37 X804, 417.92/63.37 emptyset))) => 417.92/63.37 (( 417.92/63.37 X806 = 417.92/63.37 X802) | 417.92/63.37 (X806 = 417.92/63.37 X804)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X808, 417.92/63.37 X810,X812]: 417.92/63.37 (in( 417.92/63.37 X812,X808) => 417.92/63.37 (![X814]: 417.92/63.37 (in( 417.92/63.37 X814,X810) => 417.92/63.37 subset( 417.92/63.37 setadjoin( 417.92/63.37 X812, 417.92/63.37 setadjoin( 417.92/63.37 X814, 417.92/63.37 emptyset)), 417.92/63.37 binunion( 417.92/63.37 X808,X810)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X816, 417.92/63.37 X818,X820]: 417.92/63.37 (in( 417.92/63.37 X820,X816) => 417.92/63.37 (![X822]: 417.92/63.37 (in( 417.92/63.37 X822,X818) => 417.92/63.37 in( 417.92/63.37 setadjoin( 417.92/63.37 X820, 417.92/63.37 setadjoin( 417.92/63.37 X822, 417.92/63.37 emptyset)), 417.92/63.37 powerset( 417.92/63.37 binunion( 417.92/63.37 X816,X818))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X824, 417.92/63.37 X826,X828]: 417.92/63.37 (in( 417.92/63.37 X828,X824) => 417.92/63.37 (![X830]: 417.92/63.37 (in( 417.92/63.37 X830,X826) => 417.92/63.37 subset( 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X828, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X828, 417.92/63.37 setadjoin( 417.92/63.37 X830, 417.92/63.37 emptyset)), 417.92/63.37 emptyset)), 417.92/63.37 powerset( 417.92/63.37 binunion( 417.92/63.37 X824,X826))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X832, 417.92/63.37 X834,X836]: 417.92/63.37 (in( 417.92/63.37 X836,X832) => 417.92/63.37 (![X838]: 417.92/63.37 (in( 417.92/63.37 X838,X834) => 417.92/63.37 in( 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X836, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X836, 417.92/63.37 setadjoin( 417.92/63.37 X838, 417.92/63.37 emptyset)), 417.92/63.37 emptyset)), 417.92/63.37 powerset( 417.92/63.37 powerset( 417.92/63.37 binunion( 417.92/63.37 X832,X834)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X840, 417.92/63.37 X842,X844]: 417.92/63.37 (in( 417.92/63.37 X844,X840) => 417.92/63.37 (![X846]: 417.92/63.37 (in( 417.92/63.37 X846,X842) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X844,X846), 417.92/63.37 powerset( 417.92/63.37 powerset( 417.92/63.37 binunion( 417.92/63.37 X840,X842)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X848, 417.92/63.37 X850,X852]: 417.92/63.37 (in( 417.92/63.37 X852,X848) => 417.92/63.37 (![X854]: 417.92/63.37 (in( 417.92/63.37 X854,X850) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X852,X854), 417.92/63.37 cartprod( 417.92/63.37 X848,X850)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X856, 417.92/63.37 X858,X860]: 417.92/63.37 (in( 417.92/63.37 X860, 417.92/63.37 cartprod( 417.92/63.37 X856,X858)) => 417.92/63.37 (?[X862]: 417.92/63.37 (( 417.92/63.37 ?[X864]: 417.92/63.37 (( 417.92/63.37 X860 = 417.92/63.37 kpair( 417.92/63.37 X862,X864)) & 417.92/63.37 in( 417.92/63.37 X864,X858))) & 417.92/63.37 in( 417.92/63.37 X862,X856))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X866, 417.92/63.37 X868,X870]: 417.92/63.37 (in( 417.92/63.37 X870, 417.92/63.37 cartprod( 417.92/63.37 X866,X868)) => 417.92/63.37 iskpair( 417.92/63.37 X870))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X872, 417.92/63.37 X874]: 417.92/63.37 (in( 417.92/63.37 X874, 417.92/63.37 setunion( 417.92/63.37 X872)) => 417.92/63.37 (?[X876]: 417.92/63.37 (in( 417.92/63.37 X874,X876) & 417.92/63.37 in( 417.92/63.37 X876,X872))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X878]: 417.92/63.37 subset( 417.92/63.37 setunion( 417.92/63.37 setadjoin( 417.92/63.37 X878, 417.92/63.37 emptyset)), 417.92/63.37 X878)) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X880]: 417.92/63.37 subset( 417.92/63.37 X880, 417.92/63.37 setunion( 417.92/63.37 setadjoin( 417.92/63.37 X880, 417.92/63.37 emptyset)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X882]: 417.92/63.37 (setunion( 417.92/63.37 setadjoin( 417.92/63.37 X882, 417.92/63.37 emptyset)) = 417.92/63.37 X882)) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X884, 417.92/63.37 X886:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ![X888]: 417.92/63.37 (in( 417.92/63.37 X888,X884) => 417.92/63.37 (![X890]: 417.92/63.37 (in( 417.92/63.37 X890,X884) => 417.92/63.37 (X886( 417.92/63.37 X888) => 417.92/63.37 (X886( 417.92/63.37 X890) => 417.92/63.37 (X888 = 417.92/63.37 X890))))))) => 417.92/63.37 (( 417.92/63.37 ?[X892]: 417.92/63.37 (X886( 417.92/63.37 X892) & 417.92/63.37 in( 417.92/63.37 X892,X884))) => 417.92/63.37 singleton( 417.92/63.37 dsetconstr( 417.92/63.37 X884, 417.92/63.37 ^[V_15]: 417.92/63.37 X886( 417.92/63.37 V_15)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X894, 417.92/63.37 X896:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (ex1( 417.92/63.37 X894, 417.92/63.37 ^[V_16]: 417.92/63.37 X896( 417.92/63.37 V_16)) => 417.92/63.37 (?[X898]: 417.92/63.37 (X896( 417.92/63.37 X898) & 417.92/63.37 in( 417.92/63.37 X898,X894))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X900, 417.92/63.37 X902:( 417.92/63.37 ( 417.92/63.37 $i > $o)), 417.92/63.37 X904]: 417.92/63.37 (in( 417.92/63.37 X904,X900) => 417.92/63.37 (X902( 417.92/63.37 X904) => 417.92/63.37 (( 417.92/63.37 ![X906]: 417.92/63.37 (in( 417.92/63.37 X906,X900) => 417.92/63.37 (X902( 417.92/63.37 X906) => 417.92/63.37 (X906 = 417.92/63.37 X904)))) => 417.92/63.37 ex1( 417.92/63.37 X900, 417.92/63.37 ^[V_17]: 417.92/63.37 X902( 417.92/63.37 V_17)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X908, 417.92/63.37 X910:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ![X912]: 417.92/63.37 (in( 417.92/63.37 X912,X908) => 417.92/63.37 (![X914]: 417.92/63.37 (in( 417.92/63.37 X914,X908) => 417.92/63.37 (X910( 417.92/63.37 X912) => 417.92/63.37 (X910( 417.92/63.37 X914) => 417.92/63.37 (X912 = 417.92/63.37 X914))))))) => 417.92/63.37 (( 417.92/63.37 ?[X916]: 417.92/63.37 (X910( 417.92/63.37 X916) & 417.92/63.37 in( 417.92/63.37 X916,X908))) => 417.92/63.37 ex1( 417.92/63.37 X908, 417.92/63.37 ^[V_18]: 417.92/63.37 X910( 417.92/63.37 V_18))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X918, 417.92/63.37 X920]: 417.92/63.37 (( 417.92/63.37 setadjoin( 417.92/63.37 X918, 417.92/63.37 emptyset) = 417.92/63.37 setadjoin( 417.92/63.37 X920, 417.92/63.37 emptyset)) => 417.92/63.37 (X918 = 417.92/63.37 X920))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X922, 417.92/63.37 X924,X926]: 417.92/63.37 (in( 417.92/63.37 setadjoin( 417.92/63.37 X926, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X922, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X922, 417.92/63.37 setadjoin( 417.92/63.37 X924, 417.92/63.37 emptyset)), 417.92/63.37 emptyset))) => 417.92/63.37 (X922 = 417.92/63.37 X926))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X928]: 417.92/63.37 (iskpair( 417.92/63.37 X928) => 417.92/63.37 singleton( 417.92/63.37 dsetconstr( 417.92/63.37 setunion( 417.92/63.37 X928), 417.92/63.37 ^[V_19]: 417.92/63.37 in( 417.92/63.37 setadjoin( 417.92/63.37 V_19, 417.92/63.37 emptyset), 417.92/63.37 X928))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X930]: 417.92/63.37 (singleton( 417.92/63.37 X930) => 417.92/63.37 in( 417.92/63.37 setunion( 417.92/63.37 X930), 417.92/63.37 X930))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X932, 417.92/63.37 X934]: 417.92/63.37 (kfst( 417.92/63.37 kpair( 417.92/63.37 X932,X934)) = 417.92/63.37 X932)) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X936, 417.92/63.37 X938,X940]: 417.92/63.37 (in( 417.92/63.37 X940, 417.92/63.37 cartprod( 417.92/63.37 X936,X938)) => 417.92/63.37 in( 417.92/63.37 kfst( 417.92/63.37 X940), 417.92/63.37 X936))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X942, 417.92/63.37 X944, 417.92/63.37 X946,X948]: 417.92/63.37 (( 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X942, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X942, 417.92/63.37 setadjoin( 417.92/63.37 X944, 417.92/63.37 emptyset)), 417.92/63.37 emptyset)) = 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X946, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X946, 417.92/63.37 setadjoin( 417.92/63.37 X948, 417.92/63.37 emptyset)), 417.92/63.37 emptyset))) => 417.92/63.37 (X942 = 417.92/63.37 X946))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X950, 417.92/63.37 X952, 417.92/63.37 X954,X956]: 417.92/63.37 (( 417.92/63.37 kpair( 417.92/63.37 X950,X952) = 417.92/63.37 kpair( 417.92/63.37 X954,X956)) => 417.92/63.37 (X950 = 417.92/63.37 X954))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X958, 417.92/63.37 X960]: 417.92/63.37 (( 417.92/63.37 X958 = 417.92/63.37 X960) => 417.92/63.37 (setadjoin( 417.92/63.37 X958, 417.92/63.37 setadjoin( 417.92/63.37 X960, 417.92/63.37 emptyset)) = 417.92/63.37 setadjoin( 417.92/63.37 X958, 417.92/63.37 emptyset)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X962, 417.92/63.37 X964]: 417.92/63.37 (( 417.92/63.37 X962 = 417.92/63.37 X964) => 417.92/63.37 (setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X962, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X962, 417.92/63.37 setadjoin( 417.92/63.37 X964, 417.92/63.37 emptyset)), 417.92/63.37 emptyset)) = 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X962, 417.92/63.37 emptyset), 417.92/63.37 emptyset)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X966, 417.92/63.37 X968, 417.92/63.37 X970,X972]: 417.92/63.37 (( 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X966, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X966, 417.92/63.37 setadjoin( 417.92/63.37 X968, 417.92/63.37 emptyset)), 417.92/63.37 emptyset)) = 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X970, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X970, 417.92/63.37 setadjoin( 417.92/63.37 X972, 417.92/63.37 emptyset)), 417.92/63.37 emptyset))) => 417.92/63.37 (( 417.92/63.37 X970 = 417.92/63.37 X972) => 417.92/63.37 (X968 = 417.92/63.37 X972)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X974, 417.92/63.37 X976,X978]: 417.92/63.37 (( 417.92/63.37 setadjoin( 417.92/63.37 X974, 417.92/63.37 setadjoin( 417.92/63.37 X976, 417.92/63.37 emptyset)) = 417.92/63.37 setadjoin( 417.92/63.37 X978, 417.92/63.37 emptyset)) => 417.92/63.37 (X974 = 417.92/63.37 X976))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X980, 417.92/63.37 X982, 417.92/63.37 X984,X986]: 417.92/63.37 (( 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X980, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X980, 417.92/63.37 setadjoin( 417.92/63.37 X982, 417.92/63.37 emptyset)), 417.92/63.37 emptyset)) = 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X984, 417.92/63.37 emptyset), 417.92/63.37 setadjoin( 417.92/63.37 setadjoin( 417.92/63.37 X984, 417.92/63.37 setadjoin( 417.92/63.37 X986, 417.92/63.37 emptyset)), 417.92/63.37 emptyset))) => 417.92/63.37 (X982 = 417.92/63.37 X986))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X988, 417.92/63.37 X990, 417.92/63.37 X992,X994]: 417.92/63.37 (( 417.92/63.37 kpair( 417.92/63.37 X988,X990) = 417.92/63.37 kpair( 417.92/63.37 X992,X994)) => 417.92/63.37 (X990 = 417.92/63.37 X994))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X996]: 417.92/63.37 (iskpair( 417.92/63.37 X996) => 417.92/63.37 singleton( 417.92/63.37 dsetconstr( 417.92/63.37 setunion( 417.92/63.37 X996), 417.92/63.37 ^[V_20]: 417.92/63.37 (X996 = 417.92/63.37 kpair( 417.92/63.37 kfst( 417.92/63.37 X996), 417.92/63.37 V_20)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X998, 417.92/63.37 X1000]: 417.92/63.37 (ksnd( 417.92/63.37 kpair( 417.92/63.37 X998, 417.92/63.37 X1000)) = 417.92/63.37 X1000)) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1002]: 417.92/63.37 (iskpair( 417.92/63.37 X1002) => 417.92/63.37 (kpair( 417.92/63.37 kfst( 417.92/63.37 X1002), 417.92/63.37 ksnd( 417.92/63.37 X1002)) = 417.92/63.37 X1002))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1004, 417.92/63.37 X1006, 417.92/63.37 X1008]: 417.92/63.37 (in( 417.92/63.37 X1008, 417.92/63.37 cartprod( 417.92/63.37 X1004, 417.92/63.37 X1006)) => 417.92/63.37 in( 417.92/63.37 ksnd( 417.92/63.37 X1008), 417.92/63.37 X1006))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1010, 417.92/63.37 X1012, 417.92/63.37 X1014, 417.92/63.37 X1016]: 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1014, 417.92/63.37 X1016), 417.92/63.37 cartprod( 417.92/63.37 X1010, 417.92/63.37 X1012)) => 417.92/63.37 in( 417.92/63.37 X1014, 417.92/63.37 X1010))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1018, 417.92/63.37 X1020, 417.92/63.37 X1022, 417.92/63.37 X1024]: 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1022, 417.92/63.37 X1024), 417.92/63.37 cartprod( 417.92/63.37 X1018, 417.92/63.37 X1020)) => 417.92/63.37 in( 417.92/63.37 X1024, 417.92/63.37 X1020))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1026, 417.92/63.37 X1028, 417.92/63.37 X1030]: 417.92/63.37 (in( 417.92/63.37 X1030, 417.92/63.37 X1026) => 417.92/63.37 (![X1032]: 417.92/63.37 (in( 417.92/63.37 X1032, 417.92/63.37 X1028) => 417.92/63.37 (kpair( 417.92/63.37 X1030, 417.92/63.37 X1032) = 417.92/63.37 kpair( 417.92/63.37 X1030, 417.92/63.37 X1032)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1034, 417.92/63.37 X1036, 417.92/63.37 X1038]: 417.92/63.37 (in( 417.92/63.37 X1038, 417.92/63.37 X1034) => 417.92/63.37 (![X1040]: 417.92/63.37 (in( 417.92/63.37 X1040, 417.92/63.37 X1036) => 417.92/63.37 (kfst( 417.92/63.37 kpair( 417.92/63.37 X1038, 417.92/63.37 X1040)) = 417.92/63.37 X1038))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1042, 417.92/63.37 X1044, 417.92/63.37 X1046]: 417.92/63.37 (in( 417.92/63.37 X1046, 417.92/63.37 X1042) => 417.92/63.37 (![X1048]: 417.92/63.37 (in( 417.92/63.37 X1048, 417.92/63.37 X1044) => 417.92/63.37 (ksnd( 417.92/63.37 kpair( 417.92/63.37 X1046, 417.92/63.37 X1048)) = 417.92/63.37 X1048))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1050, 417.92/63.37 X1052, 417.92/63.37 X1054]: 417.92/63.37 (in( 417.92/63.37 X1054, 417.92/63.37 cartprod( 417.92/63.37 X1050, 417.92/63.37 X1052)) => 417.92/63.37 (kpair( 417.92/63.37 kfst( 417.92/63.37 X1054), 417.92/63.37 ksnd( 417.92/63.37 X1054)) = 417.92/63.37 X1054))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1056, 417.92/63.37 X1058, 417.92/63.37 X1060:( 417.92/63.37 ($i * $i) > 417.92/63.37 $o),X1062]: 417.92/63.37 (in( 417.92/63.37 X1062, 417.92/63.37 X1056) => 417.92/63.37 (![X1064]: 417.92/63.37 (in( 417.92/63.37 X1064, 417.92/63.37 X1058) => 417.92/63.37 (X1060( 417.92/63.37 X1062, 417.92/63.37 X1064) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X1062, 417.92/63.37 X1064), 417.92/63.37 dpsetconstr( 417.92/63.37 X1056, 417.92/63.37 X1058, 417.92/63.37 ^[V_21, 417.92/63.37 V_22]: 417.92/63.37 X1060( 417.92/63.37 V_21,V_22)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1066, 417.92/63.37 X1068, 417.92/63.37 X1070:( 417.92/63.37 ($i * $i) > 417.92/63.37 $o)]: 417.92/63.37 subset( 417.92/63.37 dpsetconstr( 417.92/63.37 X1066, 417.92/63.37 X1068, 417.92/63.37 ^[V_23, 417.92/63.37 V_24]: 417.92/63.37 X1070( 417.92/63.37 V_23,V_24)), 417.92/63.37 cartprod( 417.92/63.37 X1066, 417.92/63.37 X1068))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1072, 417.92/63.37 X1074, 417.92/63.37 X1076:( 417.92/63.37 ($i * $i) > 417.92/63.37 $o)]: 417.92/63.37 subset( 417.92/63.37 dpsetconstr( 417.92/63.37 X1072, 417.92/63.37 X1074, 417.92/63.37 ^[V_25, 417.92/63.37 V_26]: 417.92/63.37 X1076( 417.92/63.37 V_25,V_26)), 417.92/63.37 cartprod( 417.92/63.37 X1072, 417.92/63.37 X1074))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1078, 417.92/63.37 X1080, 417.92/63.37 X1082:( 417.92/63.37 ($i * $i) > 417.92/63.37 $o),X1084]: 417.92/63.37 (in( 417.92/63.37 X1084, 417.92/63.37 X1078) => 417.92/63.37 (![X1086]: 417.92/63.37 (in( 417.92/63.37 X1086, 417.92/63.37 X1080) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1084, 417.92/63.37 X1086), 417.92/63.37 dpsetconstr( 417.92/63.37 X1078, 417.92/63.37 X1080, 417.92/63.37 ^[V_27, 417.92/63.37 V_28]: 417.92/63.37 X1082( 417.92/63.37 V_27,V_28))) => 417.92/63.37 X1082( 417.92/63.37 X1084, 417.92/63.37 X1086)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1088, 417.92/63.37 X1090, 417.92/63.37 X1092:( 417.92/63.37 ($i * $i) > 417.92/63.37 $o), 417.92/63.37 X1094, 417.92/63.37 X1096]: 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1094, 417.92/63.37 X1096), 417.92/63.37 dpsetconstr( 417.92/63.37 X1088, 417.92/63.37 X1090, 417.92/63.37 ^[V_29, 417.92/63.37 V_30]: 417.92/63.37 X1092( 417.92/63.37 V_29,V_30))) => 417.92/63.37 in( 417.92/63.37 X1094, 417.92/63.37 X1088))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1098, 417.92/63.37 X1100, 417.92/63.37 X1102:( 417.92/63.37 ($i * $i) > 417.92/63.37 $o), 417.92/63.37 X1104, 417.92/63.37 X1106]: 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1104, 417.92/63.37 X1106), 417.92/63.37 dpsetconstr( 417.92/63.37 X1098, 417.92/63.37 X1100, 417.92/63.37 ^[V_31, 417.92/63.37 V_32]: 417.92/63.37 X1102( 417.92/63.37 V_31,V_32))) => 417.92/63.37 in( 417.92/63.37 X1106, 417.92/63.37 X1100))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1108, 417.92/63.37 X1110, 417.92/63.37 X1112:( 417.92/63.37 ($i * $i) > 417.92/63.37 $o), 417.92/63.37 X1114, 417.92/63.37 X1116]: 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1114, 417.92/63.37 X1116), 417.92/63.37 dpsetconstr( 417.92/63.37 X1108, 417.92/63.37 X1110, 417.92/63.37 ^[V_33, 417.92/63.37 V_34]: 417.92/63.37 X1112( 417.92/63.37 V_33,V_34))) => 417.92/63.37 X1112( 417.92/63.37 X1114, 417.92/63.37 X1116))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1118, 417.92/63.37 X1120, 417.92/63.37 X1122]: 417.92/63.37 (func( 417.92/63.37 X1118, 417.92/63.37 X1120, 417.92/63.37 X1122) => 417.92/63.37 (![X1124]: 417.92/63.37 (in( 417.92/63.37 X1124, 417.92/63.37 X1118) => 417.92/63.37 singleton( 417.92/63.37 dsetconstr( 417.92/63.37 X1120, 417.92/63.37 ^[V_35]: 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X1124, 417.92/63.37 V_35), 417.92/63.37 X1122))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1126, 417.92/63.37 X1128, 417.92/63.37 X1130]: 417.92/63.37 (func( 417.92/63.37 X1126, 417.92/63.37 X1128, 417.92/63.37 X1130) => 417.92/63.37 (![X1132]: 417.92/63.37 (in( 417.92/63.37 X1132, 417.92/63.37 X1126) => 417.92/63.37 in( 417.92/63.37 setunion( 417.92/63.37 dsetconstr( 417.92/63.37 X1128, 417.92/63.37 ^[V_36]: 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X1132, 417.92/63.37 V_36), 417.92/63.37 X1130))), 417.92/63.37 X1128))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1134, 417.92/63.37 X1136, 417.92/63.37 X1138]: 417.92/63.37 (func( 417.92/63.37 X1134, 417.92/63.37 X1136, 417.92/63.37 X1138) => 417.92/63.37 (![X1140]: 417.92/63.37 (in( 417.92/63.37 X1140, 417.92/63.37 X1134) => 417.92/63.37 in( 417.92/63.37 ap( 417.92/63.37 X1134, 417.92/63.37 X1136, 417.92/63.37 X1138, 417.92/63.37 X1140), 417.92/63.37 X1136))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1142, 417.92/63.37 X1144, 417.92/63.37 X1146]: 417.92/63.37 (in( 417.92/63.37 X1146, 417.92/63.37 funcSet( 417.92/63.37 X1142, 417.92/63.37 X1144)) => 417.92/63.37 func( 417.92/63.37 X1142, 417.92/63.37 X1144, 417.92/63.37 X1146))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1148, 417.92/63.37 X1150, 417.92/63.37 X1152]: 417.92/63.37 (in( 417.92/63.37 X1152, 417.92/63.37 funcSet( 417.92/63.37 X1148, 417.92/63.37 X1150)) => 417.92/63.37 (![X1154]: 417.92/63.37 (in( 417.92/63.37 X1154, 417.92/63.37 X1148) => 417.92/63.37 in( 417.92/63.37 ap( 417.92/63.37 X1148, 417.92/63.37 X1150, 417.92/63.37 X1152, 417.92/63.37 X1154), 417.92/63.37 X1150))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1156, 417.92/63.37 X1158, 417.92/63.37 X1160]: 417.92/63.37 (func( 417.92/63.37 X1156, 417.92/63.37 X1158, 417.92/63.37 X1160) => 417.92/63.37 in( 417.92/63.37 X1160, 417.92/63.37 funcSet( 417.92/63.37 X1156, 417.92/63.37 X1158)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1162, 417.92/63.37 X1164, 417.92/63.37 X1166:( 417.92/63.37 ( 417.92/63.37 $i > $i))]: 417.92/63.37 (( 417.92/63.37 ![X1168]: 417.92/63.37 (in( 417.92/63.37 X1168, 417.92/63.37 X1162) => 417.92/63.37 in( 417.92/63.37 X1166( 417.92/63.37 X1168), 417.92/63.37 X1164))) => 417.92/63.37 func( 417.92/63.37 X1162, 417.92/63.37 X1164, 417.92/63.37 dpsetconstr( 417.92/63.37 X1162, 417.92/63.37 X1164, 417.92/63.37 ^[V_37, 417.92/63.37 V_38]: 417.92/63.37 (X1166( 417.92/63.37 V_37) = 417.92/63.37 V_38))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1170, 417.92/63.37 X1172, 417.92/63.37 X1174:( 417.92/63.37 ( 417.92/63.37 $i > $i))]: 417.92/63.37 (( 417.92/63.37 ![X1176]: 417.92/63.37 (in( 417.92/63.37 X1176, 417.92/63.37 X1170) => 417.92/63.37 in( 417.92/63.37 X1174( 417.92/63.37 X1176), 417.92/63.37 X1172))) => 417.92/63.37 func( 417.92/63.37 X1170, 417.92/63.37 X1172, 417.92/63.37 lam( 417.92/63.37 X1170, 417.92/63.37 X1172, 417.92/63.37 ^[V_39]: 417.92/63.37 X1174( 417.92/63.37 V_39))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1178, 417.92/63.37 X1180, 417.92/63.37 X1182:( 417.92/63.37 ( 417.92/63.37 $i > $i))]: 417.92/63.37 (( 417.92/63.37 ![X1184]: 417.92/63.37 (in( 417.92/63.37 X1184, 417.92/63.37 X1178) => 417.92/63.37 in( 417.92/63.37 X1182( 417.92/63.37 X1184), 417.92/63.37 X1180))) => 417.92/63.37 in( 417.92/63.37 lam( 417.92/63.37 X1178, 417.92/63.37 X1180, 417.92/63.37 ^[V_40]: 417.92/63.37 X1182( 417.92/63.37 V_40)), 417.92/63.37 funcSet( 417.92/63.37 X1178, 417.92/63.37 X1180)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1186, 417.92/63.37 X1188, 417.92/63.37 X1190]: 417.92/63.37 (subset( 417.92/63.37 X1190, 417.92/63.37 cartprod( 417.92/63.37 X1186, 417.92/63.37 X1188)) => 417.92/63.37 (![X1192:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ![X1194]: 417.92/63.37 (in( 417.92/63.37 X1194, 417.92/63.37 X1186) => 417.92/63.37 (![X1196]: 417.92/63.37 (in( 417.92/63.37 X1196, 417.92/63.37 X1188) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1194, 417.92/63.37 X1196), 417.92/63.37 X1190) => 417.92/63.37 X1192( 417.92/63.37 kpair( 417.92/63.37 X1194, 417.92/63.37 X1196))))))) => 417.92/63.37 (![X1198]: 417.92/63.37 (in( 417.92/63.37 X1198, 417.92/63.37 X1190) => 417.92/63.37 X1192( 417.92/63.37 X1198))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1200, 417.92/63.37 X1202, 417.92/63.37 X1204]: 417.92/63.37 (subset( 417.92/63.37 X1204, 417.92/63.37 cartprod( 417.92/63.37 X1200, 417.92/63.37 X1202)) => 417.92/63.37 (![X1206:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ![X1208]: 417.92/63.37 (in( 417.92/63.37 X1208, 417.92/63.37 X1200) => 417.92/63.37 (![X1210]: 417.92/63.37 (in( 417.92/63.37 X1210, 417.92/63.37 X1202) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1208, 417.92/63.37 X1210), 417.92/63.37 X1204) => 417.92/63.37 X1206( 417.92/63.37 kpair( 417.92/63.37 X1208, 417.92/63.37 X1210))))))) => 417.92/63.37 (![X1212]: 417.92/63.37 (in( 417.92/63.37 X1212, 417.92/63.37 X1204) => 417.92/63.37 X1206( 417.92/63.37 X1212))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1214, 417.92/63.37 X1216:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (ex1( 417.92/63.37 X1214, 417.92/63.37 ^[V_41]: 417.92/63.37 X1216( 417.92/63.37 V_41)) => 417.92/63.37 (![X1218]: 417.92/63.37 (in( 417.92/63.37 X1218, 417.92/63.37 X1214) => 417.92/63.37 (![X1220]: 417.92/63.37 (in( 417.92/63.37 X1220, 417.92/63.37 X1214) => 417.92/63.37 (X1216( 417.92/63.37 X1218) => 417.92/63.37 (X1216( 417.92/63.37 X1220) => 417.92/63.37 (X1218 = 417.92/63.37 X1220))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1222, 417.92/63.37 X1224, 417.92/63.37 X1226]: 417.92/63.37 (func( 417.92/63.37 X1222, 417.92/63.37 X1224, 417.92/63.37 X1226) => 417.92/63.37 (![X1228]: 417.92/63.37 (in( 417.92/63.37 X1228, 417.92/63.37 X1222) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X1228, 417.92/63.37 ap( 417.92/63.37 X1222, 417.92/63.37 X1224, 417.92/63.37 X1226, 417.92/63.37 X1228)), 417.92/63.37 X1226))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1230, 417.92/63.37 X1232, 417.92/63.37 X1234]: 417.92/63.37 (in( 417.92/63.37 X1234, 417.92/63.37 funcSet( 417.92/63.37 X1230, 417.92/63.37 X1232)) => 417.92/63.37 (![X1236]: 417.92/63.37 (in( 417.92/63.37 X1236, 417.92/63.37 X1230) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X1236, 417.92/63.37 ap( 417.92/63.37 X1230, 417.92/63.37 X1232, 417.92/63.37 X1234, 417.92/63.37 X1236)), 417.92/63.37 X1234))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1238, 417.92/63.37 X1240, 417.92/63.37 X1242]: 417.92/63.37 (func( 417.92/63.37 X1238, 417.92/63.37 X1240, 417.92/63.37 X1242) => 417.92/63.37 (![X1244]: 417.92/63.37 (in( 417.92/63.37 X1244, 417.92/63.37 X1238) => 417.92/63.37 (![X1246]: 417.92/63.37 (in( 417.92/63.37 X1246, 417.92/63.37 X1240) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1244, 417.92/63.37 X1246), 417.92/63.37 X1242) => 417.92/63.37 (ap( 417.92/63.37 X1238, 417.92/63.37 X1240, 417.92/63.37 X1242, 417.92/63.37 X1244) = 417.92/63.37 X1246)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1248, 417.92/63.37 X1250, 417.92/63.37 X1252]: 417.92/63.37 (func( 417.92/63.37 X1248, 417.92/63.37 X1250, 417.92/63.37 X1252) => 417.92/63.37 (![X1254]: 417.92/63.37 (func( 417.92/63.37 X1248, 417.92/63.37 X1250, 417.92/63.37 X1254) => 417.92/63.37 (( 417.92/63.37 ![X1256]: 417.92/63.37 (in( 417.92/63.37 X1256, 417.92/63.37 X1248) => 417.92/63.37 (ap( 417.92/63.37 X1248, 417.92/63.37 X1250, 417.92/63.37 X1252, 417.92/63.37 X1256) = 417.92/63.37 ap( 417.92/63.37 X1248, 417.92/63.37 X1250, 417.92/63.37 X1254, 417.92/63.37 X1256)))) => 417.92/63.37 (![X1258]: 417.92/63.37 (in( 417.92/63.37 X1258, 417.92/63.37 X1248) => 417.92/63.37 (![X1260]: 417.92/63.37 (in( 417.92/63.37 X1260, 417.92/63.37 X1250) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1258, 417.92/63.37 X1260), 417.92/63.37 X1254) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X1258, 417.92/63.37 X1260), 417.92/63.37 X1252))))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1262, 417.92/63.37 X1264, 417.92/63.37 X1266]: 417.92/63.37 (in( 417.92/63.37 X1266, 417.92/63.37 funcSet( 417.92/63.37 X1262, 417.92/63.37 X1264)) => 417.92/63.37 (![X1268]: 417.92/63.37 (in( 417.92/63.37 X1268, 417.92/63.37 X1262) => 417.92/63.37 (![X1270]: 417.92/63.37 (in( 417.92/63.37 X1270, 417.92/63.37 X1264) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1268, 417.92/63.37 X1270), 417.92/63.37 X1266) => 417.92/63.37 (ap( 417.92/63.37 X1262, 417.92/63.37 X1264, 417.92/63.37 X1266, 417.92/63.37 X1268) = 417.92/63.37 X1270)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1272, 417.92/63.37 X1274, 417.92/63.37 X1276]: 417.92/63.37 (subset( 417.92/63.37 X1276, 417.92/63.37 cartprod( 417.92/63.37 X1272, 417.92/63.37 X1274)) => 417.92/63.37 (![X1278]: 417.92/63.37 (subset( 417.92/63.37 X1278, 417.92/63.37 cartprod( 417.92/63.37 X1272, 417.92/63.37 X1274)) => 417.92/63.37 (( 417.92/63.37 ![X1280]: 417.92/63.37 (in( 417.92/63.37 X1280, 417.92/63.37 X1272) => 417.92/63.37 (![X1282]: 417.92/63.37 (in( 417.92/63.37 X1282, 417.92/63.37 X1274) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1280, 417.92/63.37 X1282), 417.92/63.37 X1276) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X1280, 417.92/63.37 X1282), 417.92/63.37 X1278)))))) => 417.92/63.37 subset( 417.92/63.37 X1276, 417.92/63.37 X1278)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1284, 417.92/63.37 X1286, 417.92/63.37 X1288]: 417.92/63.37 (subset( 417.92/63.37 X1288, 417.92/63.37 cartprod( 417.92/63.37 X1284, 417.92/63.37 X1286)) => 417.92/63.37 (![X1290]: 417.92/63.37 (subset( 417.92/63.37 X1290, 417.92/63.37 cartprod( 417.92/63.37 X1284, 417.92/63.37 X1286)) => 417.92/63.37 (( 417.92/63.37 ![X1292]: 417.92/63.37 (in( 417.92/63.37 X1292, 417.92/63.37 X1284) => 417.92/63.37 (![X1294]: 417.92/63.37 (in( 417.92/63.37 X1294, 417.92/63.37 X1286) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1292, 417.92/63.37 X1294), 417.92/63.37 X1288) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X1292, 417.92/63.37 X1294), 417.92/63.37 X1290)))))) => 417.92/63.37 (( 417.92/63.37 ![X1296]: 417.92/63.37 (in( 417.92/63.37 X1296, 417.92/63.37 X1284) => 417.92/63.37 (![X1298]: 417.92/63.37 (in( 417.92/63.37 X1298, 417.92/63.37 X1286) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1296, 417.92/63.37 X1298), 417.92/63.37 X1290) => 417.92/63.37 in( 417.92/63.37 kpair( 417.92/63.37 X1296, 417.92/63.37 X1298), 417.92/63.37 X1288)))))) => 417.92/63.37 (X1288 = 417.92/63.37 X1290))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1300, 417.92/63.37 X1302, 417.92/63.37 X1304]: 417.92/63.37 (func( 417.92/63.37 X1300, 417.92/63.37 X1302, 417.92/63.37 X1304) => 417.92/63.37 (![X1306]: 417.92/63.37 (func( 417.92/63.37 X1300, 417.92/63.37 X1302, 417.92/63.37 X1306) => 417.92/63.37 (( 417.92/63.37 ![X1308]: 417.92/63.37 (in( 417.92/63.37 X1308, 417.92/63.37 X1300) => 417.92/63.37 (ap( 417.92/63.37 X1300, 417.92/63.37 X1302, 417.92/63.37 X1304, 417.92/63.37 X1308) = 417.92/63.37 ap( 417.92/63.37 X1300, 417.92/63.37 X1302, 417.92/63.37 X1306, 417.92/63.37 X1308)))) => 417.92/63.37 (X1304 = 417.92/63.37 X1306)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1310, 417.92/63.37 X1312, 417.92/63.37 X1314]: 417.92/63.37 (in( 417.92/63.37 X1314, 417.92/63.37 funcSet( 417.92/63.37 X1310, 417.92/63.37 X1312)) => 417.92/63.37 (![X1316]: 417.92/63.37 (in( 417.92/63.37 X1316, 417.92/63.37 funcSet( 417.92/63.37 X1310, 417.92/63.37 X1312)) => 417.92/63.37 (( 417.92/63.37 ![X1318]: 417.92/63.37 (in( 417.92/63.37 X1318, 417.92/63.37 X1310) => 417.92/63.37 (ap( 417.92/63.37 X1310, 417.92/63.37 X1312, 417.92/63.37 X1314, 417.92/63.37 X1318) = 417.92/63.37 ap( 417.92/63.37 X1310, 417.92/63.37 X1312, 417.92/63.37 X1316, 417.92/63.37 X1318)))) => 417.92/63.37 (X1314 = 417.92/63.37 X1316)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1320, 417.92/63.37 X1322, 417.92/63.37 X1324]: 417.92/63.37 (in( 417.92/63.37 X1324, 417.92/63.37 funcSet( 417.92/63.37 X1320, 417.92/63.37 X1322)) => 417.92/63.37 (![X1326]: 417.92/63.37 (in( 417.92/63.37 X1326, 417.92/63.37 X1320) => 417.92/63.37 (ap( 417.92/63.37 X1320, 417.92/63.37 X1322, 417.92/63.37 X1324, 417.92/63.37 X1326) = 417.92/63.37 ap( 417.92/63.37 X1320, 417.92/63.37 X1322, 417.92/63.37 X1324, 417.92/63.37 X1326)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1328, 417.92/63.37 X1330, 417.92/63.37 X1332]: 417.92/63.37 (func( 417.92/63.37 X1328, 417.92/63.37 X1330, 417.92/63.37 X1332) => 417.92/63.37 (![X1334]: 417.92/63.37 (in( 417.92/63.37 X1334, 417.92/63.37 X1328) => 417.92/63.37 (ap( 417.92/63.37 X1328, 417.92/63.37 X1330, 417.92/63.37 X1332, 417.92/63.37 X1334) = 417.92/63.37 ap( 417.92/63.37 X1328, 417.92/63.37 X1330, 417.92/63.37 X1332, 417.92/63.37 X1334)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1336, 417.92/63.37 X1338, 417.92/63.37 X1340:( 417.92/63.37 ( 417.92/63.37 $i > $i))]: 417.92/63.37 (( 417.92/63.37 ![X1342]: 417.92/63.37 (in( 417.92/63.37 X1342, 417.92/63.37 X1336) => 417.92/63.37 in( 417.92/63.37 X1340( 417.92/63.37 X1342), 417.92/63.37 X1338))) => 417.92/63.37 (![X1344]: 417.92/63.37 (in( 417.92/63.37 X1344, 417.92/63.37 X1336) => 417.92/63.37 (ap( 417.92/63.37 X1336, 417.92/63.37 X1338, 417.92/63.37 lam( 417.92/63.37 X1336, 417.92/63.37 X1338, 417.92/63.37 ^[V_42]: 417.92/63.37 X1340( 417.92/63.37 V_42)), 417.92/63.37 X1344) = 417.92/63.37 X1340( 417.92/63.37 X1344)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1346, 417.92/63.37 X1348, 417.92/63.37 X1350]: 417.92/63.37 (func( 417.92/63.37 X1346, 417.92/63.37 X1348, 417.92/63.37 X1350) => 417.92/63.37 (lam( 417.92/63.37 X1346, 417.92/63.37 X1348, 417.92/63.37 ^[V_43]: 417.92/63.37 ap( 417.92/63.37 X1346, 417.92/63.37 X1348, 417.92/63.37 X1350, 417.92/63.37 V_43)) = 417.92/63.37 X1350))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1352, 417.92/63.37 X1354, 417.92/63.37 X1356:( 417.92/63.37 ( 417.92/63.37 $i > $i))]: 417.92/63.37 (( 417.92/63.37 ![X1358]: 417.92/63.37 (in( 417.92/63.37 X1358, 417.92/63.37 X1352) => 417.92/63.37 in( 417.92/63.37 X1356( 417.92/63.37 X1358), 417.92/63.37 X1354))) => 417.92/63.37 (lam( 417.92/63.37 X1352, 417.92/63.37 X1354, 417.92/63.37 ^[V_44]: 417.92/63.37 X1356( 417.92/63.37 V_44)) = 417.92/63.37 lam( 417.92/63.37 X1352, 417.92/63.37 X1354, 417.92/63.37 ^[V_45]: 417.92/63.37 X1356( 417.92/63.37 V_45))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1360, 417.92/63.37 X1362, 417.92/63.37 X1364:( 417.92/63.37 ( 417.92/63.37 $i > $i))]: 417.92/63.37 (( 417.92/63.37 ![X1366]: 417.92/63.37 (in( 417.92/63.37 X1366, 417.92/63.37 X1360) => 417.92/63.37 in( 417.92/63.37 X1364( 417.92/63.37 X1366), 417.92/63.37 X1362))) => 417.92/63.37 (![X1368]: 417.92/63.37 (in( 417.92/63.37 X1368, 417.92/63.37 X1360) => 417.92/63.37 (ap( 417.92/63.37 X1360, 417.92/63.37 X1362, 417.92/63.37 lam( 417.92/63.37 X1360, 417.92/63.37 X1362, 417.92/63.37 ^[V_46]: 417.92/63.37 X1364( 417.92/63.37 V_46)), 417.92/63.37 X1368) = 417.92/63.37 X1364( 417.92/63.37 X1368)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1370, 417.92/63.37 X1372, 417.92/63.37 X1374]: 417.92/63.37 (in( 417.92/63.37 X1374, 417.92/63.37 funcSet( 417.92/63.37 X1370, 417.92/63.37 X1372)) => 417.92/63.37 (lam( 417.92/63.37 X1370, 417.92/63.37 X1372, 417.92/63.37 ^[V_47]: 417.92/63.37 ap( 417.92/63.37 X1370, 417.92/63.37 X1372, 417.92/63.37 X1374, 417.92/63.37 V_47)) = 417.92/63.37 X1374))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1376, 417.92/63.37 X1378:$o, 417.92/63.37 X1380]: 417.92/63.37 (in( 417.92/63.37 X1380, 417.92/63.37 X1376) => 417.92/63.37 (![X1382]: 417.92/63.37 (in( 417.92/63.37 X1382, 417.92/63.37 X1376) => 417.92/63.37 (( 417.92/63.37 ~X1378) => 417.92/63.37 in( 417.92/63.37 X1382, 417.92/63.37 dsetconstr( 417.92/63.37 X1376, 417.92/63.37 ^[V_48]: 417.92/63.37 (( 417.92/63.37 ( 417.92/63.37 V_48 = 417.92/63.37 X1382) & 417.92/63.37 ( 417.92/63.37 ~X1378)) | 417.92/63.37 (( 417.92/63.37 V_48 = 417.92/63.37 X1380) & 417.92/63.37 X1378))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1384, 417.92/63.37 X1386:$o, 417.92/63.37 X1388]: 417.92/63.37 (in( 417.92/63.37 X1388, 417.92/63.37 X1384) => 417.92/63.37 (![X1390]: 417.92/63.37 (in( 417.92/63.37 X1390, 417.92/63.37 X1384) => 417.92/63.37 (( 417.92/63.37 ~X1386) => 417.92/63.37 (dsetconstr( 417.92/63.37 X1384, 417.92/63.37 ^[V_49]: 417.92/63.37 (( 417.92/63.37 ( 417.92/63.37 V_49 = 417.92/63.37 X1390) & 417.92/63.37 ( 417.92/63.37 ~X1386)) | 417.92/63.37 (( 417.92/63.37 V_49 = 417.92/63.37 X1388) & 417.92/63.37 X1386))) = 417.92/63.37 setadjoin( 417.92/63.37 X1390, 417.92/63.37 emptyset))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1392, 417.92/63.37 X1394:$o, 417.92/63.37 X1396]: 417.92/63.37 (in( 417.92/63.37 X1396, 417.92/63.37 X1392) => 417.92/63.37 (![X1398]: 417.92/63.37 (in( 417.92/63.37 X1398, 417.92/63.37 X1392) => 417.92/63.37 (X1394 => 417.92/63.37 in( 417.92/63.37 X1396, 417.92/63.37 dsetconstr( 417.92/63.37 X1392, 417.92/63.37 ^[V_50]: 417.92/63.37 (( 417.92/63.37 ( 417.92/63.37 V_50 = 417.92/63.37 X1398) & 417.92/63.37 ( 417.92/63.37 ~X1394)) | 417.92/63.37 (( 417.92/63.37 V_50 = 417.92/63.37 X1396) & 417.92/63.37 X1394))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1400, 417.92/63.37 X1402:$o, 417.92/63.37 X1404]: 417.92/63.37 (in( 417.92/63.37 X1404, 417.92/63.37 X1400) => 417.92/63.37 (![X1406]: 417.92/63.37 (in( 417.92/63.37 X1406, 417.92/63.37 X1400) => 417.92/63.37 (X1402 => 417.92/63.37 (dsetconstr( 417.92/63.37 X1400, 417.92/63.37 ^[V_51]: 417.92/63.37 (( 417.92/63.37 ( 417.92/63.37 V_51 = 417.92/63.37 X1406) & 417.92/63.37 ( 417.92/63.37 ~X1402)) | 417.92/63.37 (( 417.92/63.37 V_51 = 417.92/63.37 X1404) & 417.92/63.37 X1402))) = 417.92/63.37 setadjoin( 417.92/63.37 X1404, 417.92/63.37 emptyset))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1408, 417.92/63.37 X1410:$o, 417.92/63.37 X1412]: 417.92/63.37 (in( 417.92/63.37 X1412, 417.92/63.37 X1408) => 417.92/63.37 (![X1414]: 417.92/63.37 (in( 417.92/63.37 X1414, 417.92/63.37 X1408) => 417.92/63.37 singleton( 417.92/63.37 dsetconstr( 417.92/63.37 X1408, 417.92/63.37 ^[V_52]: 417.92/63.37 (( 417.92/63.37 ( 417.92/63.37 V_52 = 417.92/63.37 X1414) & 417.92/63.37 ( 417.92/63.37 ~X1410)) | 417.92/63.37 (( 417.92/63.37 V_52 = 417.92/63.37 X1412) & 417.92/63.37 X1410)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1416, 417.92/63.37 X1418:$o, 417.92/63.37 X1420]: 417.92/63.37 (in( 417.92/63.37 X1420, 417.92/63.37 X1416) => 417.92/63.37 (![X1422]: 417.92/63.37 (in( 417.92/63.37 X1422, 417.92/63.37 X1416) => 417.92/63.37 in( 417.92/63.37 if( 417.92/63.37 X1416, 417.92/63.37 X1418, 417.92/63.37 X1420, 417.92/63.37 X1422), 417.92/63.37 X1416))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1424]: 417.92/63.37 (singleton( 417.92/63.37 X1424) => 417.92/63.37 (![X1426]: 417.92/63.37 (in( 417.92/63.37 X1426, 417.92/63.37 X1424) => 417.92/63.37 (setunion( 417.92/63.37 X1424) = 417.92/63.37 X1426))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1428, 417.92/63.37 X1430:$o, 417.92/63.37 X1432]: 417.92/63.37 (in( 417.92/63.37 X1432, 417.92/63.37 X1428) => 417.92/63.37 (![X1434]: 417.92/63.37 (in( 417.92/63.37 X1434, 417.92/63.37 X1428) => 417.92/63.37 (X1430 => 417.92/63.37 (if( 417.92/63.37 X1428, 417.92/63.37 X1430, 417.92/63.37 X1432, 417.92/63.37 X1434) = 417.92/63.37 X1432)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1436, 417.92/63.37 X1438:$o, 417.92/63.37 X1440]: 417.92/63.37 (in( 417.92/63.37 X1440, 417.92/63.37 X1436) => 417.92/63.37 (![X1442]: 417.92/63.37 (in( 417.92/63.37 X1442, 417.92/63.37 X1436) => 417.92/63.37 (( 417.92/63.37 ~X1438) => 417.92/63.37 (if( 417.92/63.37 X1436, 417.92/63.37 X1438, 417.92/63.37 X1440, 417.92/63.37 X1442) = 417.92/63.37 X1442)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1444, 417.92/63.37 X1446:$o, 417.92/63.37 X1448]: 417.92/63.37 (in( 417.92/63.37 X1448, 417.92/63.37 X1444) => 417.92/63.37 (![X1450]: 417.92/63.37 (in( 417.92/63.37 X1450, 417.92/63.37 X1444) => 417.92/63.37 in( 417.92/63.37 if( 417.92/63.37 X1444, 417.92/63.37 X1446, 417.92/63.37 X1448, 417.92/63.37 X1450), 417.92/63.37 setadjoin( 417.92/63.37 X1448, 417.92/63.37 setadjoin( 417.92/63.37 X1450, 417.92/63.37 emptyset))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1452, 417.92/63.37 X1454]: 417.92/63.37 (in( 417.92/63.37 X1454, 417.92/63.37 powerset( 417.92/63.37 X1452)) => 417.92/63.37 (![X1456]: 417.92/63.37 (in( 417.92/63.37 X1456, 417.92/63.37 powerset( 417.92/63.37 X1452)) => 417.92/63.37 in( 417.92/63.37 binintersect( 417.92/63.37 X1454, 417.92/63.37 X1456), 417.92/63.37 powerset( 417.92/63.37 X1452)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1458, 417.92/63.37 X1460]: 417.92/63.37 (in( 417.92/63.37 X1460, 417.92/63.37 powerset( 417.92/63.37 X1458)) => 417.92/63.37 (![X1462]: 417.92/63.37 (in( 417.92/63.37 X1462, 417.92/63.37 powerset( 417.92/63.37 X1458)) => 417.92/63.37 in( 417.92/63.37 binunion( 417.92/63.37 X1460, 417.92/63.37 X1462), 417.92/63.37 powerset( 417.92/63.37 X1458)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1464, 417.92/63.37 X1466]: 417.92/63.37 (in( 417.92/63.37 X1466, 417.92/63.37 powerset( 417.92/63.37 X1464)) => 417.92/63.37 in( 417.92/63.37 powerset( 417.92/63.37 X1466), 417.92/63.37 powerset( 417.92/63.37 powerset( 417.92/63.37 X1464))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1468, 417.92/63.37 X1470]: 417.92/63.37 (in( 417.92/63.37 X1470, 417.92/63.37 powerset( 417.92/63.37 X1468)) => 417.92/63.37 (![X1472]: 417.92/63.37 (in( 417.92/63.37 X1472, 417.92/63.37 powerset( 417.92/63.37 X1468)) => 417.92/63.37 in( 417.92/63.37 setminus( 417.92/63.37 X1470, 417.92/63.37 X1472), 417.92/63.37 powerset( 417.92/63.37 X1468)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1474, 417.92/63.37 X1476]: 417.92/63.37 (in( 417.92/63.37 X1476, 417.92/63.37 powerset( 417.92/63.37 X1474)) => 417.92/63.37 in( 417.92/63.37 setminus( 417.92/63.37 X1474, 417.92/63.37 X1476), 417.92/63.37 powerset( 417.92/63.37 X1474)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1478, 417.92/63.37 X1480]: 417.92/63.37 (in( 417.92/63.37 X1480, 417.92/63.37 powerset( 417.92/63.37 X1478)) => 417.92/63.37 (![X1482]: 417.92/63.37 (in( 417.92/63.37 X1482, 417.92/63.37 powerset( 417.92/63.37 X1478)) => 417.92/63.37 (( 417.92/63.37 ![X1484]: 417.92/63.37 (in( 417.92/63.37 X1484, 417.92/63.37 X1478) => 417.92/63.37 (in( 417.92/63.37 X1484, 417.92/63.37 X1480) => 417.92/63.37 in( 417.92/63.37 X1484, 417.92/63.37 X1482)))) => 417.92/63.37 (( 417.92/63.37 ![X1486]: 417.92/63.37 (in( 417.92/63.37 X1486, 417.92/63.37 X1478) => 417.92/63.37 (in( 417.92/63.37 X1486, 417.92/63.37 X1482) => 417.92/63.37 in( 417.92/63.37 X1486, 417.92/63.37 X1480)))) => 417.92/63.37 (X1480 = 417.92/63.37 X1482))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1488, 417.92/63.37 X1490]: 417.92/63.37 (in( 417.92/63.37 X1490, 417.92/63.37 powerset( 417.92/63.37 X1488)) => 417.92/63.37 (![X1492]: 417.92/63.37 (in( 417.92/63.37 X1492, 417.92/63.37 powerset( 417.92/63.37 X1488)) => 417.92/63.37 (( 417.92/63.37 ![X1494]: 417.92/63.37 (in( 417.92/63.37 X1494, 417.92/63.37 X1488) => 417.92/63.37 (in( 417.92/63.37 X1494, 417.92/63.37 X1490) => 417.92/63.37 in( 417.92/63.37 X1494, 417.92/63.37 X1492)))) => 417.92/63.37 subset( 417.92/63.37 X1490, 417.92/63.37 X1492)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1496, 417.92/63.37 X1498]: 417.92/63.37 (in( 417.92/63.37 X1498, 417.92/63.37 powerset( 417.92/63.37 X1496)) => 417.92/63.37 (![X1500]: 417.92/63.37 (in( 417.92/63.37 X1500, 417.92/63.37 powerset( 417.92/63.37 X1496)) => 417.92/63.37 (( 417.92/63.37 ![X1502]: 417.92/63.37 (in( 417.92/63.37 X1502, 417.92/63.37 X1496) => 417.92/63.37 (in( 417.92/63.37 X1502, 417.92/63.37 X1498) => 417.92/63.37 in( 417.92/63.37 X1502, 417.92/63.37 X1500)))) => 417.92/63.37 in( 417.92/63.37 X1498, 417.92/63.37 powerset( 417.92/63.37 X1500))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1504, 417.92/63.37 X1506]: 417.92/63.37 (in( 417.92/63.37 X1506, 417.92/63.37 powerset( 417.92/63.37 X1504)) => 417.92/63.37 (![X1508]: 417.92/63.37 (in( 417.92/63.37 X1508, 417.92/63.37 powerset( 417.92/63.37 X1504)) => 417.92/63.37 (![X1510]: 417.92/63.37 (in( 417.92/63.37 X1510, 417.92/63.37 X1504) => 417.92/63.37 (in( 417.92/63.37 X1506, 417.92/63.37 powerset( 417.92/63.37 X1508)) => 417.92/63.37 (in( 417.92/63.37 X1510, 417.92/63.37 X1506) => 417.92/63.37 in( 417.92/63.37 X1510, 417.92/63.37 X1508))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1512, 417.92/63.37 X1514]: 417.92/63.37 (in( 417.92/63.37 X1514, 417.92/63.37 powerset( 417.92/63.37 X1512)) => 417.92/63.37 (![X1516]: 417.92/63.37 (in( 417.92/63.37 X1516, 417.92/63.37 X1512) => 417.92/63.37 (in( 417.92/63.37 X1516, 417.92/63.37 X1514) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X1516, 417.92/63.37 setminus( 417.92/63.37 X1512, 417.92/63.37 X1514)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1518, 417.92/63.37 X1520]: 417.92/63.37 (in( 417.92/63.37 X1520, 417.92/63.37 powerset( 417.92/63.37 X1518)) => 417.92/63.37 (![X1522]: 417.92/63.37 (in( 417.92/63.37 X1522, 417.92/63.37 X1518) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X1522, 417.92/63.37 setminus( 417.92/63.37 X1518, 417.92/63.37 X1520))) => 417.92/63.37 in( 417.92/63.37 X1522, 417.92/63.37 X1520)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1524, 417.92/63.37 X1526]: 417.92/63.37 (in( 417.92/63.37 X1526, 417.92/63.37 powerset( 417.92/63.37 X1524)) => 417.92/63.37 (![X1528]: 417.92/63.37 (in( 417.92/63.37 X1528, 417.92/63.37 powerset( 417.92/63.37 X1524)) => 417.92/63.37 (![X1530]: 417.92/63.37 (in( 417.92/63.37 X1530, 417.92/63.37 X1524) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X1530, 417.92/63.37 X1526)) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X1530, 417.92/63.37 binintersect( 417.92/63.37 X1526, 417.92/63.37 X1528)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1532, 417.92/63.37 X1534]: 417.92/63.37 (in( 417.92/63.37 X1534, 417.92/63.37 powerset( 417.92/63.37 X1532)) => 417.92/63.37 (![X1536]: 417.92/63.37 (in( 417.92/63.37 X1536, 417.92/63.37 powerset( 417.92/63.37 X1532)) => 417.92/63.37 (![X1538]: 417.92/63.37 (in( 417.92/63.37 X1538, 417.92/63.37 X1532) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X1538, 417.92/63.37 X1536)) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X1538, 417.92/63.37 binintersect( 417.92/63.37 X1534, 417.92/63.37 X1536)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1540, 417.92/63.37 X1542]: 417.92/63.37 (in( 417.92/63.37 X1542, 417.92/63.37 powerset( 417.92/63.37 X1540)) => 417.92/63.37 (![X1544]: 417.92/63.37 (in( 417.92/63.37 X1544, 417.92/63.37 powerset( 417.92/63.37 X1540)) => 417.92/63.37 (![X1546]: 417.92/63.37 (in( 417.92/63.37 X1546, 417.92/63.37 X1540) => 417.92/63.37 (subset( 417.92/63.37 X1542, 417.92/63.37 setminus( 417.92/63.37 X1540, 417.92/63.37 X1544)) => 417.92/63.37 (in( 417.92/63.37 X1546, 417.92/63.37 X1544) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X1546, 417.92/63.37 X1542)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1548, 417.92/63.37 X1550]: 417.92/63.37 (in( 417.92/63.37 X1550, 417.92/63.37 powerset( 417.92/63.37 X1548)) => 417.92/63.37 (![X1552]: 417.92/63.37 (in( 417.92/63.37 X1552, 417.92/63.37 powerset( 417.92/63.37 X1548)) => 417.92/63.37 (![X1554]: 417.92/63.37 (in( 417.92/63.37 X1554, 417.92/63.37 X1548) => 417.92/63.37 (subset( 417.92/63.37 X1550, 417.92/63.37 X1552) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X1554, 417.92/63.37 X1552)) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X1554, 417.92/63.37 X1550)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1556, 417.92/63.37 X1558]: 417.92/63.37 (in( 417.92/63.37 X1558, 417.92/63.37 powerset( 417.92/63.37 X1556)) => 417.92/63.37 (![X1560]: 417.92/63.37 (in( 417.92/63.37 X1560, 417.92/63.37 powerset( 417.92/63.37 X1556)) => 417.92/63.37 (subset( 417.92/63.37 X1558, 417.92/63.37 X1560) => 417.92/63.37 subset( 417.92/63.37 setminus( 417.92/63.37 X1556, 417.92/63.37 X1560), 417.92/63.37 setminus( 417.92/63.37 X1556, 417.92/63.37 X1558))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1562, 417.92/63.37 X1564]: 417.92/63.37 (in( 417.92/63.37 X1564, 417.92/63.37 powerset( 417.92/63.37 X1562)) => 417.92/63.37 (![X1566]: 417.92/63.37 (in( 417.92/63.37 X1566, 417.92/63.37 powerset( 417.92/63.37 X1562)) => 417.92/63.37 (subset( 417.92/63.37 setminus( 417.92/63.37 X1562, 417.92/63.37 X1566), 417.92/63.37 setminus( 417.92/63.37 X1562, 417.92/63.37 X1564)) => 417.92/63.37 subset( 417.92/63.37 X1564, 417.92/63.37 X1566)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1568, 417.92/63.37 X1570]: 417.92/63.37 (in( 417.92/63.37 X1570, 417.92/63.37 powerset( 417.92/63.37 X1568)) => 417.92/63.37 (![X1572]: 417.92/63.37 (in( 417.92/63.37 X1572, 417.92/63.37 X1568) => 417.92/63.37 (in( 417.92/63.37 X1572, 417.92/63.37 X1570) => 417.92/63.37 in( 417.92/63.37 X1572, 417.92/63.37 setminus( 417.92/63.37 X1568, 417.92/63.37 setminus( 417.92/63.37 X1568, 417.92/63.37 X1570)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1574, 417.92/63.37 X1576]: 417.92/63.37 (in( 417.92/63.37 X1576, 417.92/63.37 powerset( 417.92/63.37 X1574)) => 417.92/63.37 (![X1578]: 417.92/63.37 (in( 417.92/63.37 X1578, 417.92/63.37 X1574) => 417.92/63.37 (in( 417.92/63.37 X1578, 417.92/63.37 setminus( 417.92/63.37 X1574, 417.92/63.37 setminus( 417.92/63.37 X1574, 417.92/63.37 X1576))) => 417.92/63.37 in( 417.92/63.37 X1578, 417.92/63.37 X1576)))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1580, 417.92/63.37 X1582]: 417.92/63.37 (in( 417.92/63.37 X1582, 417.92/63.37 powerset( 417.92/63.37 X1580)) => 417.92/63.37 subset( 417.92/63.37 X1582, 417.92/63.37 setminus( 417.92/63.37 X1580, 417.92/63.37 setminus( 417.92/63.37 X1580, 417.92/63.37 X1582))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1584, 417.92/63.37 X1586]: 417.92/63.37 (in( 417.92/63.37 X1586, 417.92/63.37 powerset( 417.92/63.37 X1584)) => 417.92/63.37 subset( 417.92/63.37 setminus( 417.92/63.37 X1584, 417.92/63.37 setminus( 417.92/63.37 X1584, 417.92/63.37 X1586)), 417.92/63.37 X1586))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1588, 417.92/63.37 X1590]: 417.92/63.37 (in( 417.92/63.37 X1590, 417.92/63.37 powerset( 417.92/63.37 X1588)) => 417.92/63.37 (X1590 = 417.92/63.37 setminus( 417.92/63.37 X1588, 417.92/63.37 setminus( 417.92/63.37 X1588, 417.92/63.37 X1590))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1592, 417.92/63.37 X1594]: 417.92/63.37 (in( 417.92/63.37 X1594, 417.92/63.37 powerset( 417.92/63.37 X1592)) => 417.92/63.37 (![X1596]: 417.92/63.37 (in( 417.92/63.37 X1596, 417.92/63.37 powerset( 417.92/63.37 X1592)) => 417.92/63.37 (![X1598]: 417.92/63.37 (in( 417.92/63.37 X1598, 417.92/63.37 X1592) => 417.92/63.37 (in( 417.92/63.37 X1598, 417.92/63.37 setminus( 417.92/63.37 X1592, 417.92/63.37 X1594)) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X1598, 417.92/63.37 binintersect( 417.92/63.37 X1594, 417.92/63.37 X1596)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1600, 417.92/63.37 X1602]: 417.92/63.37 (in( 417.92/63.37 X1602, 417.92/63.37 powerset( 417.92/63.37 X1600)) => 417.92/63.37 (![X1604]: 417.92/63.37 (in( 417.92/63.37 X1604, 417.92/63.37 powerset( 417.92/63.37 X1600)) => 417.92/63.37 (![X1606]: 417.92/63.37 (in( 417.92/63.37 X1606, 417.92/63.37 X1600) => 417.92/63.37 (in( 417.92/63.37 X1606, 417.92/63.37 setminus( 417.92/63.37 X1600, 417.92/63.37 X1602)) => 417.92/63.37 in( 417.92/63.37 X1606, 417.92/63.37 setminus( 417.92/63.37 X1600, 417.92/63.37 binintersect( 417.92/63.37 X1602, 417.92/63.37 X1604)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1608, 417.92/63.37 X1610]: 417.92/63.37 (in( 417.92/63.37 X1610, 417.92/63.37 powerset( 417.92/63.37 X1608)) => 417.92/63.37 (![X1612]: 417.92/63.37 (in( 417.92/63.37 X1612, 417.92/63.37 powerset( 417.92/63.37 X1608)) => 417.92/63.37 subset( 417.92/63.37 setminus( 417.92/63.37 X1608, 417.92/63.37 X1610), 417.92/63.37 setminus( 417.92/63.37 X1608, 417.92/63.37 binintersect( 417.92/63.37 X1610, 417.92/63.37 X1612))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1614, 417.92/63.37 X1616]: 417.92/63.37 (in( 417.92/63.37 X1616, 417.92/63.37 powerset( 417.92/63.37 X1614)) => 417.92/63.37 (![X1618]: 417.92/63.37 (in( 417.92/63.37 X1618, 417.92/63.37 powerset( 417.92/63.37 X1614)) => 417.92/63.37 in( 417.92/63.37 setminus( 417.92/63.37 X1614, 417.92/63.37 X1616), 417.92/63.37 powerset( 417.92/63.37 setminus( 417.92/63.37 X1614, 417.92/63.37 binintersect( 417.92/63.37 X1616, 417.92/63.37 X1618)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1620, 417.92/63.37 X1622]: 417.92/63.37 (in( 417.92/63.37 X1622, 417.92/63.37 powerset( 417.92/63.37 X1620)) => 417.92/63.37 (![X1624]: 417.92/63.37 (in( 417.92/63.37 X1624, 417.92/63.37 powerset( 417.92/63.37 X1620)) => 417.92/63.37 (subset( 417.92/63.37 X1622, 417.92/63.37 setminus( 417.92/63.37 X1620, 417.92/63.37 X1624)) => 417.92/63.37 (![X1626]: 417.92/63.37 (in( 417.92/63.37 X1626, 417.92/63.37 X1620) => 417.92/63.37 (in( 417.92/63.37 X1626, 417.92/63.37 X1624) => 417.92/63.37 in( 417.92/63.37 X1626, 417.92/63.37 setminus( 417.92/63.37 X1620, 417.92/63.37 X1622)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1628, 417.92/63.37 X1630]: 417.92/63.37 (in( 417.92/63.37 X1630, 417.92/63.37 powerset( 417.92/63.37 X1628)) => 417.92/63.37 (![X1632]: 417.92/63.37 (in( 417.92/63.37 X1632, 417.92/63.37 powerset( 417.92/63.37 X1628)) => 417.92/63.37 (subset( 417.92/63.37 X1630, 417.92/63.37 setminus( 417.92/63.37 X1628, 417.92/63.37 X1632)) => 417.92/63.37 subset( 417.92/63.37 X1632, 417.92/63.37 setminus( 417.92/63.37 X1628, 417.92/63.37 X1630))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1634, 417.92/63.37 X1636]: 417.92/63.37 (in( 417.92/63.37 X1636, 417.92/63.37 powerset( 417.92/63.37 X1634)) => 417.92/63.37 (![X1638]: 417.92/63.37 (in( 417.92/63.37 X1638, 417.92/63.37 powerset( 417.92/63.37 X1634)) => 417.92/63.37 (![X1640]: 417.92/63.37 (in( 417.92/63.37 X1640, 417.92/63.37 X1634) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X1640, 417.92/63.37 binunion( 417.92/63.37 X1636, 417.92/63.37 X1638))) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X1640, 417.92/63.37 X1636))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1642, 417.92/63.37 X1644]: 417.92/63.37 (in( 417.92/63.37 X1644, 417.92/63.37 powerset( 417.92/63.37 X1642)) => 417.92/63.37 (![X1646]: 417.92/63.37 (in( 417.92/63.37 X1646, 417.92/63.37 powerset( 417.92/63.37 X1642)) => 417.92/63.37 (![X1648]: 417.92/63.37 (in( 417.92/63.37 X1648, 417.92/63.37 X1642) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X1648, 417.92/63.37 binunion( 417.92/63.37 X1644, 417.92/63.37 X1646))) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X1648, 417.92/63.37 X1646))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1650, 417.92/63.37 X1652]: 417.92/63.37 (in( 417.92/63.37 X1652, 417.92/63.37 powerset( 417.92/63.37 X1650)) => 417.92/63.37 (![X1654]: 417.92/63.37 (in( 417.92/63.37 X1654, 417.92/63.37 powerset( 417.92/63.37 X1650)) => 417.92/63.37 (![X1656]: 417.92/63.37 (in( 417.92/63.37 X1656, 417.92/63.37 powerset( 417.92/63.37 X1650)) => 417.92/63.37 (![X1658]: 417.92/63.37 (in( 417.92/63.37 X1658, 417.92/63.37 X1650) => 417.92/63.37 (in( 417.92/63.37 X1658, 417.92/63.37 binintersect( 417.92/63.37 X1652, 417.92/63.37 X1654)) => 417.92/63.37 in( 417.92/63.37 X1658, 417.92/63.37 binunion( 417.92/63.37 X1652, 417.92/63.37 X1656))))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1660, 417.92/63.37 X1662]: 417.92/63.37 (in( 417.92/63.37 X1662, 417.92/63.37 powerset( 417.92/63.37 X1660)) => 417.92/63.37 (![X1664]: 417.92/63.37 (in( 417.92/63.37 X1664, 417.92/63.37 powerset( 417.92/63.37 X1660)) => 417.92/63.37 (![X1666]: 417.92/63.37 (in( 417.92/63.37 X1666, 417.92/63.37 powerset( 417.92/63.37 X1660)) => 417.92/63.37 (![X1668]: 417.92/63.37 (in( 417.92/63.37 X1668, 417.92/63.37 X1660) => 417.92/63.37 (in( 417.92/63.37 X1668, 417.92/63.37 binintersect( 417.92/63.37 X1662, 417.92/63.37 X1664)) => 417.92/63.37 in( 417.92/63.37 X1668, 417.92/63.37 binunion( 417.92/63.37 X1664, 417.92/63.37 X1666))))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1670, 417.92/63.37 X1672]: 417.92/63.37 (in( 417.92/63.37 X1672, 417.92/63.37 powerset( 417.92/63.37 X1670)) => 417.92/63.37 (![X1674]: 417.92/63.37 (in( 417.92/63.37 X1674, 417.92/63.37 powerset( 417.92/63.37 X1670)) => 417.92/63.37 (![X1676]: 417.92/63.37 (in( 417.92/63.37 X1676, 417.92/63.37 powerset( 417.92/63.37 X1670)) => 417.92/63.37 (![X1678]: 417.92/63.37 (in( 417.92/63.37 X1678, 417.92/63.37 X1670) => 417.92/63.37 (in( 417.92/63.37 X1678, 417.92/63.37 binintersect( 417.92/63.37 X1672, 417.92/63.37 X1674)) => 417.92/63.37 in( 417.92/63.37 X1678, 417.92/63.37 binintersect( 417.92/63.37 binunion( 417.92/63.37 X1672, 417.92/63.37 X1676), 417.92/63.37 binunion( 417.92/63.37 X1674, 417.92/63.37 X1676)))))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1680, 417.92/63.37 X1682]: 417.92/63.37 (in( 417.92/63.37 X1682, 417.92/63.37 powerset( 417.92/63.37 X1680)) => 417.92/63.37 (![X1684]: 417.92/63.37 (in( 417.92/63.37 X1684, 417.92/63.37 powerset( 417.92/63.37 X1680)) => 417.92/63.37 (![X1686]: 417.92/63.37 (in( 417.92/63.37 X1686, 417.92/63.37 powerset( 417.92/63.37 X1680)) => 417.92/63.37 in( 417.92/63.37 binintersect( 417.92/63.37 X1682, 417.92/63.37 X1684), 417.92/63.37 powerset( 417.92/63.37 binintersect( 417.92/63.37 binunion( 417.92/63.37 X1682, 417.92/63.37 X1686), 417.92/63.37 binunion( 417.92/63.37 X1684, 417.92/63.37 X1686)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1688, 417.92/63.37 X1690]: 417.92/63.37 (in( 417.92/63.37 X1690, 417.92/63.37 powerset( 417.92/63.37 X1688)) => 417.92/63.37 (![X1692]: 417.92/63.37 (in( 417.92/63.37 X1692, 417.92/63.37 powerset( 417.92/63.37 X1688)) => 417.92/63.37 (![X1694]: 417.92/63.37 (in( 417.92/63.37 X1694, 417.92/63.37 X1688) => 417.92/63.37 (in( 417.92/63.37 X1694, 417.92/63.37 setminus( 417.92/63.37 X1688, 417.92/63.37 binunion( 417.92/63.37 X1690, 417.92/63.37 X1692))) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X1694, 417.92/63.37 X1690))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1696, 417.92/63.37 X1698]: 417.92/63.37 (in( 417.92/63.37 X1698, 417.92/63.37 powerset( 417.92/63.37 X1696)) => 417.92/63.37 (![X1700]: 417.92/63.37 (in( 417.92/63.37 X1700, 417.92/63.37 powerset( 417.92/63.37 X1696)) => 417.92/63.37 (![X1702]: 417.92/63.37 (in( 417.92/63.37 X1702, 417.92/63.37 X1696) => 417.92/63.37 (in( 417.92/63.37 X1702, 417.92/63.37 setminus( 417.92/63.37 X1696, 417.92/63.37 binunion( 417.92/63.37 X1698, 417.92/63.37 X1700))) => 417.92/63.37 in( 417.92/63.37 X1702, 417.92/63.37 setminus( 417.92/63.37 X1696, 417.92/63.37 X1698))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1704, 417.92/63.37 X1706]: 417.92/63.37 (in( 417.92/63.37 X1706, 417.92/63.37 powerset( 417.92/63.37 X1704)) => 417.92/63.37 (![X1708]: 417.92/63.37 (in( 417.92/63.37 X1708, 417.92/63.37 powerset( 417.92/63.37 X1704)) => 417.92/63.37 (![X1710:$o, 417.92/63.37 X1712]: 417.92/63.37 (in( 417.92/63.37 X1712, 417.92/63.37 X1704) => 417.92/63.37 (in( 417.92/63.37 X1712, 417.92/63.37 binunion( 417.92/63.37 X1706, 417.92/63.37 X1708)) => 417.92/63.37 (( 417.92/63.37 in( 417.92/63.37 X1712, 417.92/63.37 X1706) => 417.92/63.37 X1710) => 417.92/63.37 (( 417.92/63.37 in( 417.92/63.37 X1712, 417.92/63.37 X1708) => 417.92/63.37 X1710) => 417.92/63.37 X1710))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1714, 417.92/63.37 X1716]: 417.92/63.37 (in( 417.92/63.37 X1716, 417.92/63.37 powerset( 417.92/63.37 X1714)) => 417.92/63.37 (![X1718]: 417.92/63.37 (in( 417.92/63.37 X1718, 417.92/63.37 powerset( 417.92/63.37 X1714)) => 417.92/63.37 (![X1720]: 417.92/63.37 (in( 417.92/63.37 X1720, 417.92/63.37 X1714) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X1720, 417.92/63.37 X1716)) => 417.92/63.37 (( 417.92/63.37 ~ 417.92/63.37 in( 417.92/63.37 X1720, 417.92/63.37 X1718)) => 417.92/63.37 (~ 417.92/63.37 in( 417.92/63.37 X1720, 417.92/63.37 binunion( 417.92/63.37 X1716, 417.92/63.37 X1718))))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1722, 417.92/63.37 X1724]: 417.92/63.37 (in( 417.92/63.37 X1724, 417.92/63.37 powerset( 417.92/63.37 X1722)) => 417.92/63.37 (![X1726]: 417.92/63.37 (in( 417.92/63.37 X1726, 417.92/63.37 powerset( 417.92/63.37 X1722)) => 417.92/63.37 (![X1728]: 417.92/63.37 (in( 417.92/63.37 X1728, 417.92/63.37 X1722) => 417.92/63.37 (in( 417.92/63.37 X1728, 417.92/63.37 setminus( 417.92/63.37 X1722, 417.92/63.37 binunion( 417.92/63.37 X1724, 417.92/63.37 X1726))) => 417.92/63.37 in( 417.92/63.37 X1728, 417.92/63.37 setminus( 417.92/63.37 X1722, 417.92/63.37 X1724))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1730, 417.92/63.37 X1732]: 417.92/63.37 (in( 417.92/63.37 X1732, 417.92/63.37 powerset( 417.92/63.37 X1730)) => 417.92/63.37 (![X1734]: 417.92/63.37 (in( 417.92/63.37 X1734, 417.92/63.37 powerset( 417.92/63.37 X1730)) => 417.92/63.37 in( 417.92/63.37 setminus( 417.92/63.37 X1730, 417.92/63.37 binunion( 417.92/63.37 X1732, 417.92/63.37 X1734)), 417.92/63.37 powerset( 417.92/63.37 setminus( 417.92/63.37 X1730, 417.92/63.37 X1732))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1736, 417.92/63.37 X1738]: 417.92/63.37 (in( 417.92/63.37 X1738, 417.92/63.37 powerset( 417.92/63.37 X1736)) => 417.92/63.37 (![X1740]: 417.92/63.37 (in( 417.92/63.37 X1740, 417.92/63.37 powerset( 417.92/63.37 X1736)) => 417.92/63.37 (![X1742]: 417.92/63.37 (in( 417.92/63.37 X1742, 417.92/63.37 X1736) => 417.92/63.37 (in( 417.92/63.37 X1742, 417.92/63.37 setminus( 417.92/63.37 X1736, 417.92/63.37 binunion( 417.92/63.37 X1738, 417.92/63.37 X1740))) => 417.92/63.37 in( 417.92/63.37 X1742, 417.92/63.37 setminus( 417.92/63.37 X1736, 417.92/63.37 X1740))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1744, 417.92/63.37 X1746]: 417.92/63.37 (in( 417.92/63.37 X1746, 417.92/63.37 powerset( 417.92/63.37 X1744)) => 417.92/63.37 (![X1748]: 417.92/63.37 (in( 417.92/63.37 X1748, 417.92/63.37 powerset( 417.92/63.37 X1744)) => 417.92/63.37 (![X1750]: 417.92/63.37 (in( 417.92/63.37 X1750, 417.92/63.37 X1744) => 417.92/63.37 (in( 417.92/63.37 X1750, 417.92/63.37 setminus( 417.92/63.37 X1744, 417.92/63.37 binintersect( 417.92/63.37 X1746, 417.92/63.37 X1748))) => 417.92/63.37 in( 417.92/63.37 X1750, 417.92/63.37 binunion( 417.92/63.37 setminus( 417.92/63.37 X1744, 417.92/63.37 X1746), 417.92/63.37 setminus( 417.92/63.37 X1744, 417.92/63.37 X1748)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1752, 417.92/63.37 X1754]: 417.92/63.37 (in( 417.92/63.37 X1754, 417.92/63.37 powerset( 417.92/63.37 X1752)) => 417.92/63.37 (![X1756]: 417.92/63.37 (in( 417.92/63.37 X1756, 417.92/63.37 powerset( 417.92/63.37 X1752)) => 417.92/63.37 (![X1758]: 417.92/63.37 (in( 417.92/63.37 X1758, 417.92/63.37 X1752) => 417.92/63.37 (in( 417.92/63.37 X1758, 417.92/63.37 binunion( 417.92/63.37 setminus( 417.92/63.37 X1752, 417.92/63.37 X1754), 417.92/63.37 setminus( 417.92/63.37 X1752, 417.92/63.37 X1756))) => 417.92/63.37 in( 417.92/63.37 X1758, 417.92/63.37 setminus( 417.92/63.37 X1752, 417.92/63.37 binintersect( 417.92/63.37 X1754, 417.92/63.37 X1756)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1760, 417.92/63.37 X1762]: 417.92/63.37 (in( 417.92/63.37 X1762, 417.92/63.37 powerset( 417.92/63.37 X1760)) => 417.92/63.37 (![X1764]: 417.92/63.37 (in( 417.92/63.37 X1764, 417.92/63.37 powerset( 417.92/63.37 X1760)) => 417.92/63.37 (setminus( 417.92/63.37 X1760, 417.92/63.37 binintersect( 417.92/63.37 X1762, 417.92/63.37 X1764)) = 417.92/63.37 binunion( 417.92/63.37 setminus( 417.92/63.37 X1760, 417.92/63.37 X1762), 417.92/63.37 setminus( 417.92/63.37 X1760, 417.92/63.37 X1764))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1766, 417.92/63.37 X1768]: 417.92/63.37 (in( 417.92/63.37 X1768, 417.92/63.37 powerset( 417.92/63.37 X1766)) => 417.92/63.37 (![X1770]: 417.92/63.37 (in( 417.92/63.37 X1770, 417.92/63.37 powerset( 417.92/63.37 X1766)) => 417.92/63.37 (![X1772]: 417.92/63.37 (in( 417.92/63.37 X1772, 417.92/63.37 X1766) => 417.92/63.37 (in( 417.92/63.37 X1772, 417.92/63.37 setminus( 417.92/63.37 X1766, 417.92/63.37 binunion( 417.92/63.37 X1768, 417.92/63.37 X1770))) => 417.92/63.37 in( 417.92/63.37 X1772, 417.92/63.37 binintersect( 417.92/63.37 setminus( 417.92/63.37 X1766, 417.92/63.37 X1768), 417.92/63.37 setminus( 417.92/63.37 X1766, 417.92/63.37 X1770)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1774, 417.92/63.37 X1776]: 417.92/63.37 (in( 417.92/63.37 X1776, 417.92/63.37 powerset( 417.92/63.37 X1774)) => 417.92/63.37 (![X1778]: 417.92/63.37 (in( 417.92/63.37 X1778, 417.92/63.37 powerset( 417.92/63.37 X1774)) => 417.92/63.37 (![X1780]: 417.92/63.37 (in( 417.92/63.37 X1780, 417.92/63.37 X1774) => 417.92/63.37 (in( 417.92/63.37 X1780, 417.92/63.37 setminus( 417.92/63.37 X1774, 417.92/63.37 X1776)) => 417.92/63.37 (in( 417.92/63.37 X1780, 417.92/63.37 setminus( 417.92/63.37 X1774, 417.92/63.37 X1778)) => 417.92/63.37 in( 417.92/63.37 X1780, 417.92/63.37 setminus( 417.92/63.37 X1774, 417.92/63.37 binunion( 417.92/63.37 X1776, 417.92/63.37 X1778))))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1782, 417.92/63.37 X1784]: 417.92/63.37 (in( 417.92/63.37 X1784, 417.92/63.37 powerset( 417.92/63.37 X1782)) => 417.92/63.37 (![X1786]: 417.92/63.37 (in( 417.92/63.37 X1786, 417.92/63.37 powerset( 417.92/63.37 X1782)) => 417.92/63.37 (![X1788]: 417.92/63.37 (in( 417.92/63.37 X1788, 417.92/63.37 X1782) => 417.92/63.37 (in( 417.92/63.37 X1788, 417.92/63.37 binintersect( 417.92/63.37 setminus( 417.92/63.37 X1782, 417.92/63.37 X1784), 417.92/63.37 setminus( 417.92/63.37 X1782, 417.92/63.37 X1786))) => 417.92/63.37 in( 417.92/63.37 X1788, 417.92/63.37 setminus( 417.92/63.37 X1782, 417.92/63.37 binunion( 417.92/63.37 X1784, 417.92/63.37 X1786)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1790, 417.92/63.37 X1792]: 417.92/63.37 (in( 417.92/63.37 X1792, 417.92/63.37 powerset( 417.92/63.37 X1790)) => 417.92/63.37 (![X1794]: 417.92/63.37 (in( 417.92/63.37 X1794, 417.92/63.37 powerset( 417.92/63.37 X1790)) => 417.92/63.37 (setminus( 417.92/63.37 X1790, 417.92/63.37 binunion( 417.92/63.37 X1792, 417.92/63.37 X1794)) = 417.92/63.37 binintersect( 417.92/63.37 setminus( 417.92/63.37 X1790, 417.92/63.37 X1792), 417.92/63.37 setminus( 417.92/63.37 X1790, 417.92/63.37 X1794))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1796, 417.92/63.37 X1798]: 417.92/63.37 (in( 417.92/63.37 X1798, 417.92/63.37 powerset( 417.92/63.37 X1796)) => 417.92/63.37 (![X1800]: 417.92/63.37 (in( 417.92/63.37 X1800, 417.92/63.37 powerset( 417.92/63.37 X1796)) => 417.92/63.37 (![X1802]: 417.92/63.37 (in( 417.92/63.37 X1802, 417.92/63.37 binintersect( 417.92/63.37 X1798, 417.92/63.37 X1800)) => 417.92/63.37 in( 417.92/63.37 X1802, 417.92/63.37 X1796))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1804, 417.92/63.37 X1806]: 417.92/63.37 (in( 417.92/63.37 X1806, 417.92/63.37 powerset( 417.92/63.37 X1804)) => 417.92/63.37 (![X1808]: 417.92/63.37 (in( 417.92/63.37 X1808, 417.92/63.37 powerset( 417.92/63.37 X1804)) => 417.92/63.37 (![X1810]: 417.92/63.37 (in( 417.92/63.37 X1810, 417.92/63.37 powerset( 417.92/63.37 X1804)) => 417.92/63.37 (subset( 417.92/63.37 X1806, 417.92/63.37 X1810) => 417.92/63.37 subset( 417.92/63.37 binintersect( 417.92/63.37 X1806, 417.92/63.37 X1808), 417.92/63.37 X1810)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1812, 417.92/63.37 X1814]: 417.92/63.37 (in( 417.92/63.37 X1814, 417.92/63.37 powerset( 417.92/63.37 X1812)) => 417.92/63.37 (![X1816]: 417.92/63.37 (in( 417.92/63.37 X1816, 417.92/63.37 powerset( 417.92/63.37 X1812)) => 417.92/63.37 (![X1818]: 417.92/63.37 (in( 417.92/63.37 X1818, 417.92/63.37 powerset( 417.92/63.37 X1812)) => 417.92/63.37 (subset( 417.92/63.37 X1816, 417.92/63.37 X1818) => 417.92/63.37 subset( 417.92/63.37 binintersect( 417.92/63.37 X1814, 417.92/63.37 X1816), 417.92/63.37 X1818)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1820, 417.92/63.37 X1822]: 417.92/63.37 (in( 417.92/63.37 X1822, 417.92/63.37 powerset( 417.92/63.37 X1820)) => 417.92/63.37 (![X1824]: 417.92/63.37 (in( 417.92/63.37 X1824, 417.92/63.37 powerset( 417.92/63.37 X1820)) => 417.92/63.37 (![X1826]: 417.92/63.37 (in( 417.92/63.37 X1826, 417.92/63.37 powerset( 417.92/63.37 X1820)) => 417.92/63.37 (subset( 417.92/63.37 X1822, 417.92/63.37 X1824) => 417.92/63.37 (subset( 417.92/63.37 X1822, 417.92/63.37 X1826) => 417.92/63.37 subset( 417.92/63.37 X1822, 417.92/63.37 binintersect( 417.92/63.37 X1824, 417.92/63.37 X1826)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1828, 417.92/63.37 X1830]: 417.92/63.37 (in( 417.92/63.37 X1830, 417.92/63.37 powerset( 417.92/63.37 X1828)) => 417.92/63.37 (![X1832]: 417.92/63.37 (in( 417.92/63.37 X1832, 417.92/63.37 powerset( 417.92/63.37 X1828)) => 417.92/63.37 (![X1834]: 417.92/63.37 (in( 417.92/63.37 X1834, 417.92/63.37 powerset( 417.92/63.37 X1828)) => 417.92/63.37 (![X1836]: 417.92/63.37 (in( 417.92/63.37 X1836, 417.92/63.37 powerset( 417.92/63.37 X1828)) => 417.92/63.37 (subset( 417.92/63.37 X1830, 417.92/63.37 X1834) => 417.92/63.37 (subset( 417.92/63.37 X1832, 417.92/63.37 X1836) => 417.92/63.37 subset( 417.92/63.37 binintersect( 417.92/63.37 X1830, 417.92/63.37 X1832), 417.92/63.37 binintersect( 417.92/63.37 X1834, 417.92/63.37 X1836)))))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1838, 417.92/63.37 X1840]: 417.92/63.37 (in( 417.92/63.37 X1840, 417.92/63.37 powerset( 417.92/63.37 X1838)) => 417.92/63.37 (![X1842]: 417.92/63.37 (in( 417.92/63.37 X1842, 417.92/63.37 powerset( 417.92/63.37 X1838)) => 417.92/63.37 in( 417.92/63.37 setminus( 417.92/63.37 X1838, 417.92/63.37 X1840), 417.92/63.37 powerset( 417.92/63.37 setminus( 417.92/63.37 X1838, 417.92/63.37 binintersect( 417.92/63.37 X1840, 417.92/63.37 X1842)))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1844, 417.92/63.37 X1846]: 417.92/63.37 (in( 417.92/63.37 X1846, 417.92/63.37 powerset( 417.92/63.37 X1844)) => 417.92/63.37 (![X1848]: 417.92/63.37 (in( 417.92/63.37 X1848, 417.92/63.37 powerset( 417.92/63.37 X1844)) => 417.92/63.37 (![X1850]: 417.92/63.37 (in( 417.92/63.37 X1850, 417.92/63.37 powerset( 417.92/63.37 X1844)) => 417.92/63.37 (![X1852]: 417.92/63.37 (in( 417.92/63.37 X1852, 417.92/63.37 powerset( 417.92/63.37 X1844)) => 417.92/63.37 (setminus( 417.92/63.37 X1844, 417.92/63.37 binintersect( 417.92/63.37 binunion( 417.92/63.37 X1846, 417.92/63.37 X1848), 417.92/63.37 binunion( 417.92/63.37 X1850, 417.92/63.37 X1852))) = 417.92/63.37 binunion( 417.92/63.37 binintersect( 417.92/63.37 setminus( 417.92/63.37 X1844, 417.92/63.37 X1846), 417.92/63.37 setminus( 417.92/63.37 X1844, 417.92/63.37 X1848)), 417.92/63.37 binintersect( 417.92/63.37 setminus( 417.92/63.37 X1844, 417.92/63.37 X1850), 417.92/63.37 setminus( 417.92/63.37 X1844, 417.92/63.37 X1852)))))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1854, 417.92/63.37 X1856]: 417.92/63.37 (in( 417.92/63.37 X1856, 417.92/63.37 powerset( 417.92/63.37 X1854)) => 417.92/63.37 (![X1858]: 417.92/63.37 (in( 417.92/63.37 X1858, 417.92/63.37 powerset( 417.92/63.37 X1854)) => 417.92/63.37 (![X1860]: 417.92/63.37 (in( 417.92/63.37 X1860, 417.92/63.37 powerset( 417.92/63.37 X1854)) => 417.92/63.37 in( 417.92/63.37 binintersect( 417.92/63.37 X1856, 417.92/63.37 X1858), 417.92/63.37 powerset( 417.92/63.37 binintersect( 417.92/63.37 binunion( 417.92/63.37 X1856, 417.92/63.37 X1860), 417.92/63.37 binunion( 417.92/63.37 X1858, 417.92/63.37 X1860)))))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1862, 417.92/63.37 X1864]: 417.92/63.37 (in( 417.92/63.37 X1864, 417.92/63.37 powerset( 417.92/63.37 X1862)) => 417.92/63.37 (![X1866]: 417.92/63.37 (in( 417.92/63.37 X1866, 417.92/63.37 powerset( 417.92/63.37 X1862)) => 417.92/63.37 (subset( 417.92/63.37 X1864, 417.92/63.37 setminus( 417.92/63.37 X1862, 417.92/63.37 X1866)) => 417.92/63.37 subset( 417.92/63.37 X1866, 417.92/63.37 setminus( 417.92/63.37 X1862, 417.92/63.37 X1864))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1868, 417.92/63.37 X1870]: 417.92/63.37 (in( 417.92/63.37 X1870, 417.92/63.37 powerset( 417.92/63.37 X1868)) => 417.92/63.37 (![X1872]: 417.92/63.37 (in( 417.92/63.37 X1872, 417.92/63.37 powerset( 417.92/63.37 X1868)) => 417.92/63.37 in( 417.92/63.37 setminus( 417.92/63.37 X1868, 417.92/63.37 binunion( 417.92/63.37 X1870, 417.92/63.37 X1872)), 417.92/63.37 powerset( 417.92/63.37 setminus( 417.92/63.37 X1868, 417.92/63.37 X1870))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1874, 417.92/63.37 X1876]: 417.92/63.37 (subset( 417.92/63.37 X1876, 417.92/63.37 cartprod( 417.92/63.37 X1874, 417.92/63.37 X1874)) => 417.92/63.37 (![X1878:( 417.92/63.37 ( 417.92/63.37 $i > $o))]: 417.92/63.37 (( 417.92/63.37 ![X1880]: 417.92/63.37 (in( 417.92/63.37 X1880, 417.92/63.37 X1874) => 417.92/63.37 (![X1882]: 417.92/63.37 (in( 417.92/63.37 X1882, 417.92/63.37 X1874) => 417.92/63.37 (in( 417.92/63.37 kpair( 417.92/63.37 X1880, 417.92/63.37 X1882), 417.92/63.37 X1876) => 417.92/63.37 X1878( 417.92/63.37 kpair( 417.92/63.37 X1880, 417.92/63.37 X1882))))))) => 417.92/63.37 (![X1884]: 417.92/63.37 (in( 417.92/63.37 X1884, 417.92/63.37 X1876) => 417.92/63.37 X1878( 417.92/63.37 X1884))))))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1886, 417.92/63.37 X1888]: 417.92/63.37 (in( 417.92/63.37 X1888, 417.92/63.37 breln1Set( 417.92/63.37 X1886)) => 417.92/63.37 subset( 417.92/63.37 X1888, 417.92/63.37 cartprod( 417.92/63.37 X1886, 417.92/63.37 X1886)))) => 417.92/63.37 ( 417.92/63.37 ( 417.92/63.37 ![X1890, 417.92/63.37 X1892, 417.92/63.37 X1894:( 417.92/63.37 ($i * $i) > 417.92/63.37 $o)]: 417.92/63.37 (( 417.92/63.37 ![X1896]: 417.92/63.37 (in( 417.92/63.37 X1896, 417.92/63.37 X1890) => 417.92/63.37 (?[X1898]: 417.92/63.37 (X1894( 417.92/63.37 X1896, 417.92/63.37 X1898) & 417.92/63.37 in( 417.92/63.37 X1898, 417.92/63.37 X1892))))) => 417.92/63.37 (![X1900]: 417.92/63.37 (in( 417.92/63.37 X1900, 417.92/63.38 breln1Set( 417.92/63.38 X1892)) => 417.92/63.38 (reflwellordering( 417.92/63.38 X1892, 417.92/63.38 X1900) => 417.92/63.38 (![X1902]: 417.92/63.38 (in( 417.92/63.38 X1902, 417.92/63.38 X1890) => 417.92/63.38 singleton( 417.92/63.38 dsetconstr( 417.92/63.38 X1892, 417.92/63.38 ^[V_53]: 417.92/63.38 (( 417.92/63.38 ![X1904]: 417.92/63.38 (in( 417.92/63.38 X1904, 417.92/63.38 X1892) => 417.92/63.38 (X1894( 417.92/63.38 X1902, 417.92/63.38 X1904) => 417.92/63.38 in( 417.92/63.38 kpair( 417.92/63.38 V_53, 417.92/63.38 X1904), 417.92/63.38 X1900)))) & 417.92/63.38 X1894( 417.92/63.38 X1902, 417.92/63.38 V_53))))))))))) => 417.92/63.38 ( 417.92/63.38 ( 417.92/63.38 ![X1906, 417.92/63.38 X1908:( 417.92/63.38 ($i * $i) > 417.92/63.38 $o)]: 417.92/63.38 subset( 417.92/63.38 dpsetconstr( 417.92/63.38 X1906, 417.92/63.38 X1906, 417.92/63.38 ^[V_54, 417.92/63.38 V_55]: 417.92/63.38 X1908( 417.92/63.38 V_54,V_55)), 417.92/63.38 cartprod( 417.92/63.38 X1906, 417.92/63.38 X1906))) => 417.92/63.38 ( 417.92/63.38 ( 417.92/63.38 ![X1910, 417.92/63.38 X1912]: 417.92/63.38 (subset( 417.92/63.38 X1912, 417.92/63.38 cartprod( 417.92/63.38 X1910, 417.92/63.38 X1910)) => 417.92/63.38 (![X1914:( 417.92/63.38 ( 417.92/63.38 $i > $o))]: 417.92/63.38 (( 417.92/63.38 ![X1916]: 417.92/63.38 (in( 417.92/63.38 X1916, 417.92/63.38 X1910) => 417.92/63.38 (![X1918]: 417.92/63.38 (in( 417.92/63.38 X1918, 417.92/63.38 X1910) => 417.92/63.38 (in( 417.92/63.38 kpair( 417.92/63.38 X1916, 417.92/63.38 X1918), 417.92/63.38 X1912) => 417.92/63.38 X1914( 417.92/63.38 kpair( 417.92/63.38 X1916, 417.92/63.38 X1918))))))) => 417.92/63.38 (![X1920]: 417.92/63.38 (in( 417.92/63.38 X1920, 417.92/63.38 X1912) => 417.92/63.38 X1914( 417.92/63.38 X1920))))))) => 417.92/63.38 ( 417.92/63.38 ( 417.92/63.38 ![X1922, 417.92/63.38 X1924]: 417.92/63.38 (subset( 417.92/63.38 X1924, 417.92/63.38 cartprod( 417.92/63.38 X1922, 417.92/63.38 X1922)) => 417.92/63.38 (![X1926]: 417.92/63.38 (subset( 417.92/63.38 X1926, 417.92/63.38 cartprod( 417.92/63.38 X1922, 417.92/63.38 X1922)) => 417.92/63.38 (( 417.92/63.38 ![X1928]: 417.92/63.38 (in( 417.92/63.38 X1928, 417.92/63.38 X1922) => 417.92/63.38 (![X1930]: 417.92/63.38 (in( 417.92/63.38 X1930, 417.92/63.38 X1922) => 417.92/63.38 (in( 417.92/63.38 kpair( 417.92/63.38 X1928, 417.92/63.38 X1930), 417.92/63.38 X1924) => 417.92/63.38 in( 417.92/63.38 kpair( 417.92/63.38 X1928, 417.92/63.38 X1930), 417.92/63.38 X1926)))))) => 417.92/63.38 subset( 417.92/63.38 X1924, 417.92/63.38 X1926)))))) => 417.92/63.38 ( 417.92/63.38 ![X1932, 417.92/63.38 X1934]: 417.92/63.38 (subset( 417.92/63.38 X1934, 417.92/63.38 cartprod( 417.92/63.38 X1932, 417.92/63.38 X1932)) => 417.92/63.38 (![X1936]: 417.92/63.38 (subset( 417.92/63.38 X1936, 417.92/63.38 cartprod( 417.92/63.38 X1932, 417.92/63.38 X1932)) => 417.92/63.38 (( 417.92/63.38 ![X1938]: 417.92/63.38 (in( 417.92/63.38 X1938, 417.92/63.38 X1932) => 417.92/63.38 (![X1940]: 417.92/63.38 (in( 417.92/63.38 X1940, 417.92/63.38 X1932) => 417.92/63.38 (in( 417.92/63.38 kpair( 417.92/63.38 X1938, 417.92/63.38 X1940), 417.92/63.38 X1934) => 417.92/63.38 in( 417.92/63.38 kpair( 417.92/63.38 X1938, 417.92/63.38 X1940), 417.92/63.38 X1936)))))) => 417.92/63.38 (( 417.92/63.38 ![X1942]: 417.92/63.38 (in( 417.92/63.38 X1942, 417.92/63.38 X1932) => 417.92/63.38 (![X1944]: 417.92/63.38 (in( 417.92/63.38 X1944, 417.92/63.38 X1932) => 417.92/63.38 (in( 417.92/63.38 kpair( 417.92/63.38 X1942, 417.92/63.38 X1944), 417.92/63.38 X1936) => 417.92/63.38 in( 417.92/63.38 kpair( 417.92/63.38 X1942, 417.92/63.38 X1944), 417.92/63.38 X1934)))))) => 417.92/63.38 (X1934 = 417.92/63.38 X1936))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 417.92/63.38 tff('300', plain, sk_X1934 != sk_X1936, 417.92/63.38 inference('cnf', [status(esa)], [zf_stmt_14])). 417.92/63.38 tff('301', plain, 417.92/63.38 ![X971, X972]: 417.92/63.38 (X972 = X971 417.92/63.38 | in(sk_X8(X971, X972), X971) 417.92/63.38 | in(sk_X8(X971, X972), X972)), 417.92/63.38 inference('cnf', [status(esa)], [zf_stmt_14])). 417.92/63.38 tff('302', plain, 417.92/63.38 ![X971, X972]: 417.92/63.38 (X972 = X971 417.92/63.38 | ~ in(sk_X8(X971, X972), X971) 417.92/63.38 | ~ in(sk_X8(X971, X972), X972)), 417.92/63.38 inference('cnf', [status(esa)], [zf_stmt_14])). 417.92/63.38 tff('303', plain, 417.92/63.38 ![X1432, X1433]: 417.92/63.38 (~ in(X1432, sk_X1932) 417.92/63.38 | in(kpair(X1433, X1432), sk_X1934) 417.92/63.38 | ~ in(kpair(X1433, X1432), sk_X1936) 417.92/63.38 | ~ in(X1433, sk_X1932)), 417.92/63.38 inference('cnf', [status(esa)], [zf_stmt_14])). 417.92/63.38 tff('304', plain, 417.92/63.38 ![X1646]: (kpair(kfst(X1646), ksnd(X1646)) = X1646 | ~ iskpair(X1646)), 417.92/63.38 inference('cnf', [status(esa)], [zf_stmt_14])). 417.92/63.38 tff('305', plain, 417.92/63.38 ![X1434, X1435]: 417.92/63.38 (~ in(X1434, sk_X1932) 417.92/63.38 | in(kpair(X1435, X1434), sk_X1936) 417.92/63.38 | ~ in(kpair(X1435, X1434), sk_X1934) 417.92/63.38 | ~ in(X1435, sk_X1932)), 417.92/63.38 inference('cnf', [status(esa)], [zf_stmt_14])). 417.92/63.38 tff('306', plain, subset(sk_X1936, cartprod(sk_X1932, sk_X1932)), 417.92/63.38 inference('cnf', [status(esa)], [zf_stmt_14])). 417.92/63.38 tff('307', plain, 417.92/63.38 ![X1191, X1192, X1193]: 417.92/63.38 ( in(kfst(X1191), X1192) | ~ in(X1191, cartprod(X1192, X1193))), 417.92/63.38 inference('cnf', [status(esa)], [zf_stmt_14])). 417.92/63.38 tff('308', plain, 417.92/63.38 ![X1209, X1210, X1211]: 417.92/63.38 ( in(ksnd(X1209), X1210) | ~ in(X1209, cartprod(X1211, X1210))), 417.92/63.38 inference('cnf', [status(esa)], [zf_stmt_14])). 417.92/63.38 tff('309', plain, subset(sk_X1934, cartprod(sk_X1932, sk_X1932)), 417.92/63.38 inference('cnf', [status(esa)], [zf_stmt_14])). 417.92/63.38 tff('310', plain, 417.92/63.38 ![X1177, X1178, X1179]: 417.92/63.38 ( iskpair(X1177) | ~ in(X1177, cartprod(X1178, X1179))), 417.92/63.38 inference('cnf', [status(esa)], [zf_stmt_14])). 417.92/63.38 tff('311', plain, 417.92/63.38 ![X1761, X1762, X1763]: 417.92/63.38 (~ subset(X1761, X1762) | ~ in(X1763, X1761) | in(X1763, X1762)), 417.92/63.38 inference('cnf', [status(esa)], [zf_stmt_14])). 417.92/63.38 tff('312', plain, $false, 417.92/63.38 inference('eprover', [status(thm)], 417.92/63.38 ['300', '301', '302', '303', '304', '305', '306', '307', 417.92/63.38 '308', '309', '310', '311'])). 417.92/63.38 417.92/63.38 % SZS output end Refutation 417.92/63.38 417.92/63.38 417.92/63.38 % Terminating... 418.42/63.50 % Runner terminated. 418.42/63.51 % Zipperpin 1.5 exiting 418.42/63.53 EOF