0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.14 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.1xJBY4LuRJ 0.14/0.34 % Computer : n026.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1200 0.14/0.34 % DateTime : Tue Jul 13 12:58:44 EDT 2021 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 0.14/0.35 % Running in HO mode 0.53/0.63 % Estimated wc time : 1286 0.53/0.63 % Estimated cpu time (7 cpus) : 183.71428571428572 0.53/0.72 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 26.84/4.45 % Solved by lams/c.easy.sh. 26.84/4.45 % Running : timeout 10 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.1xJBY4LuRJ/e_input7fdf10 --cpu-limit=8 --auto -s -p. 26.84/4.45 % done 907 iterations in 3.426s 26.84/4.45 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 26.84/4.45 % SZS output start Refutation 26.84/4.45 tff(injFuncSet, axiom, injFuncSet() = 26.84/4.45 ^[A,B]: dsetconstr(funcSet(A,B),^[Xf]: injective(A,B,Xf))). 26.84/4.45 tff('0', plain, 26.84/4.45 injFuncSet = (^[A,B]: dsetconstr(funcSet(A,B),^[Xf]: injective(A,B,Xf))), 26.84/4.45 inference('simplify_rw_rule', [status(thm)], [injFuncSet])). 26.84/4.45 tff('1', plain, 26.84/4.45 injFuncSet = 26.84/4.45 (^[V_1,V_2]: dsetconstr(funcSet(V_1,V_2),^[V_3]: injective(V_1,V_2,V_3))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(image1I, axiom, image1I <=> 26.84/4.45 (![A,Xf:(($i > $i)),Xx]: 26.84/4.45 ((?[Xy]: ((Xx = Xf(Xy)) & in(Xy,A))) => in(Xx,image1(A,^[Xy]: Xf(Xy)))))). 26.84/4.45 tff('2', plain, 26.84/4.45 image1I = 26.84/4.45 (![X4,X6:(($i > $i)),X8]: 26.84/4.45 ((?[X10]: ((X8 = X6(X10)) & in(X10,X4))) => 26.84/4.45 in(X8,image1(X4,^[V_1]: X6(V_1))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(image1E, axiom, image1E <=> 26.84/4.45 (![A,Xf:(($i > $i)),Xx]: 26.84/4.45 (in(Xx,image1(A,^[Xy]: Xf(Xy))) => (?[Xy]: ((Xx = Xf(Xy)) & in(Xy,A)))))). 26.84/4.45 tff('3', plain, 26.84/4.45 image1E = 26.84/4.45 (![X4,X6:(($i > $i)),X8]: 26.84/4.45 (in(X8,image1(X4,^[V_1]: X6(V_1))) => 26.84/4.45 (?[X10]: ((X8 = X6(X10)) & in(X10,X4))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(image1Equiv, axiom, image1Equiv <=> 26.84/4.45 (![A,Xf:(($i > $i)),Xx]: 26.84/4.45 (in(Xx,image1(A,^[Xy]: Xf(Xy))) <=> (?[Xy]: ((Xx = Xf(Xy)) & in(Xy,A)))))). 26.84/4.45 tff('4', plain, 26.84/4.45 image1Equiv = 26.84/4.45 (![X4,X6:(($i > $i)),X8]: 26.84/4.45 (in(X8,image1(X4,^[V_1]: X6(V_1))) <=> 26.84/4.45 (?[X10]: ((X8 = X6(X10)) & in(X10,X4))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(image1Ex1, axiom, image1Ex1 <=> 26.84/4.45 (![A,Xf:(($i > $i))]: 26.84/4.45 exu(^[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: ((Xx = Xf(Xy)) & in(Xy,A)))))))). 26.84/4.45 tff('5', plain, 26.84/4.45 image1Ex1 = 26.84/4.45 (![X4,X6:(($i > $i))]: 26.84/4.45 exu(^[V_1]: 26.84/4.45 (![X8]: (in(X8,V_1) <=> (?[X10]: ((X8 = X6(X10)) & in(X10,X4))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(image1Ex, axiom, image1Ex <=> 26.84/4.45 (![A,Xf:(($i > $i))]: 26.84/4.45 (?[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: ((Xx = Xf(Xy)) & in(Xy,A)))))))). 26.84/4.45 tff('6', plain, 26.84/4.45 image1Ex = 26.84/4.45 (![X4,X6:(($i > $i))]: 26.84/4.45 (?[X8]: 26.84/4.45 (![X10]: (in(X10,X8) <=> (?[X12]: ((X10 = X6(X12)) & in(X12,X4))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(woz2B, axiom, woz2B <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 (![T]: 26.84/4.45 (breln1(A,T) => 26.84/4.45 (breln1compset(A,binunion(R,S),T) = 26.84/4.45 binunion(breln1invset(A, 26.84/4.45 breln1compset(A,breln1invset(A,T), 26.84/4.45 breln1invset(A,S))), 26.84/4.45 breln1invset(A, 26.84/4.45 breln1compset(A,breln1invset(A,T), 26.84/4.45 breln1invset(A,R)))))))))))). 26.84/4.45 tff('7', plain, 26.84/4.45 woz2B = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 (![X10]: 26.84/4.45 (breln1(X4,X10) => 26.84/4.45 (breln1compset(X4,binunion(X6,X8),X10) = 26.84/4.45 binunion(breln1invset(X4, 26.84/4.45 breln1compset(X4,breln1invset(X4,X10), 26.84/4.45 breln1invset(X4,X8))), 26.84/4.45 breln1invset(X4, 26.84/4.45 breln1compset(X4,breln1invset(X4,X10), 26.84/4.45 breln1invset(X4,X6))))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(woz2A, axiom, woz2A <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 (![T]: 26.84/4.45 (breln1(A,T) => 26.84/4.45 (breln1compset(A,binunion(R,S),T) = 26.84/4.45 binunion(breln1compset(A,R,T),breln1compset(A,S,T)))))))))). 26.84/4.45 tff('8', plain, 26.84/4.45 woz2A = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 (![X10]: 26.84/4.45 (breln1(X4,X10) => 26.84/4.45 (breln1compset(X4,binunion(X6,X8),X10) = 26.84/4.45 binunion(breln1compset(X4,X6,X10),breln1compset(X4,X8,X10))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(woz2W, axiom, woz2W <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 (breln1invset(A,breln1compset(A,R,S)) = 26.84/4.45 breln1compset(A,breln1invset(A,S),breln1invset(A,R)))))))). 26.84/4.45 tff('9', plain, 26.84/4.45 woz2W = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 (breln1invset(X4,breln1compset(X4,X6,X8)) = 26.84/4.45 breln1compset(X4,breln1invset(X4,X8),breln1invset(X4,X6))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(woz2Ex, axiom, woz2Ex <=> 26.84/4.45 (![A,R]: (breln1(A,R) => (R = breln1invset(A,breln1invset(A,R)))))). 26.84/4.45 tff('10', plain, 26.84/4.45 woz2Ex = 26.84/4.45 (![X4,X6]: (breln1(X4,X6) => (X6 = breln1invset(X4,breln1invset(X4,X6))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1unionCommutes, axiom, breln1unionCommutes <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => (![S]: (breln1(A,S) => (binunion(R,S) = binunion(S,R))))))). 26.84/4.45 tff('11', plain, 26.84/4.45 breln1unionCommutes = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: (breln1(X4,X8) => (binunion(X6,X8) = binunion(X8,X6)))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1unionEcases, axiom, breln1unionEcases <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 (![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => 26.84/4.45 (in(kpair(Xx,Xy),binunion(R,S)) => 26.84/4.45 (![Xphi:$o]: 26.84/4.45 ((in(kpair(Xx,Xy),R) => Xphi) => 26.84/4.45 ((in(kpair(Xx,Xy),S) => Xphi) => Xphi))))))))))))). 26.84/4.45 tff('12', plain, 26.84/4.45 breln1unionEcases = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 (![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (![X12]: 26.84/4.45 (in(X12,X4) => 26.84/4.45 (in(kpair(X10,X12),binunion(X6,X8)) => 26.84/4.45 (![X14:$o]: 26.84/4.45 ((in(kpair(X10,X12),X6) => X14) => 26.84/4.45 ((in(kpair(X10,X12),X8) => X14) => X14)))))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1unionE, axiom, breln1unionE <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 (![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => 26.84/4.45 (in(kpair(Xx,Xy),binunion(R,S)) => 26.84/4.45 (in(kpair(Xx,Xy),R) | in(kpair(Xx,Xy),S)))))))))))). 26.84/4.45 tff('13', plain, 26.84/4.45 breln1unionE = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 (![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (![X12]: 26.84/4.45 (in(X12,X4) => 26.84/4.45 (in(kpair(X10,X12),binunion(X6,X8)) => 26.84/4.45 (in(kpair(X10,X12),X6) | in(kpair(X10,X12),X8))))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1unionI, axiom, breln1unionI <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 (![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => 26.84/4.45 ((in(kpair(Xx,Xy),R) | in(kpair(Xx,Xy),S)) => 26.84/4.45 in(kpair(Xx,Xy),binunion(R,S)))))))))))). 26.84/4.45 tff('14', plain, 26.84/4.45 breln1unionI = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 (![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (![X12]: 26.84/4.45 (in(X12,X4) => 26.84/4.45 ((in(kpair(X10,X12),X6) | in(kpair(X10,X12),X8)) => 26.84/4.45 in(kpair(X10,X12),binunion(X6,X8))))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1unionIR, axiom, breln1unionIR <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 (![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => 26.84/4.45 (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),binunion(R,S)))))))))))). 26.84/4.45 tff('15', plain, 26.84/4.45 breln1unionIR = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 (![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (![X12]: 26.84/4.45 (in(X12,X4) => 26.84/4.45 (in(kpair(X10,X12),X8) => 26.84/4.45 in(kpair(X10,X12),binunion(X6,X8))))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1unionIL, axiom, breln1unionIL <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 (![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => 26.84/4.45 (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),binunion(R,S)))))))))))). 26.84/4.45 tff('16', plain, 26.84/4.45 breln1unionIL = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 (![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (![X12]: 26.84/4.45 (in(X12,X4) => 26.84/4.45 (in(kpair(X10,X12),X6) => 26.84/4.45 in(kpair(X10,X12),binunion(X6,X8))))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1unionprop, axiom, breln1unionprop <=> 26.84/4.45 (![A,R]: (breln1(A,R) => (![S]: (breln1(A,S) => breln1(A,binunion(R,S))))))). 26.84/4.45 tff('17', plain, 26.84/4.45 breln1unionprop = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: (breln1(X4,X8) => breln1(X4,binunion(X6,X8)))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1compEex, axiom, breln1compEex <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 (![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => 26.84/4.45 (in(kpair(Xx,Xy),breln1compset(A,R,S)) => 26.84/4.45 (![Xphi:$o]: 26.84/4.45 ((![Xz]: 26.84/4.45 (in(Xz,A) => 26.84/4.45 (in(kpair(Xx,Xz),R) => 26.84/4.45 (in(kpair(Xz,Xy),S) => Xphi)))) => 26.84/4.45 Xphi)))))))))))). 26.84/4.45 tff('18', plain, 26.84/4.45 breln1compEex = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 (![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (![X12]: 26.84/4.45 (in(X12,X4) => 26.84/4.45 (in(kpair(X10,X12),breln1compset(X4,X6,X8)) => 26.84/4.45 (![X14:$o]: 26.84/4.45 ((![X16]: 26.84/4.45 (in(X16,X4) => 26.84/4.45 (in(kpair(X10,X16),X6) => 26.84/4.45 (in(kpair(X16,X12),X8) => X14)))) => 26.84/4.45 X14))))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1compE, axiom, breln1compE <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 (![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => 26.84/4.45 (in(kpair(Xx,Xy),breln1compset(A,R,S)) => 26.84/4.45 (?[Xz]: 26.84/4.45 (in(kpair(Xz,Xy),S) & in(kpair(Xx,Xz),R) & in(Xz,A))))))))))))). 26.84/4.45 tff('19', plain, 26.84/4.45 breln1compE = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 (![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (![X12]: 26.84/4.45 (in(X12,X4) => 26.84/4.45 (in(kpair(X10,X12),breln1compset(X4,X6,X8)) => 26.84/4.45 (?[X14]: 26.84/4.45 (in(kpair(X14,X12),X8) & in(kpair(X10,X14),X6) & 26.84/4.45 in(X14,X4)))))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1compI, axiom, breln1compI <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 (![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => 26.84/4.45 (![Xz]: 26.84/4.45 (in(Xz,A) => 26.84/4.45 (in(kpair(Xx,Xz),R) => 26.84/4.45 (in(kpair(Xz,Xy),S) => 26.84/4.45 in(kpair(Xx,Xy),breln1compset(A,R,S))))))))))))))). 26.84/4.45 tff('20', plain, 26.84/4.45 breln1compI = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 (![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (![X12]: 26.84/4.45 (in(X12,X4) => 26.84/4.45 (![X14]: 26.84/4.45 (in(X14,X4) => 26.84/4.45 (in(kpair(X10,X14),X6) => 26.84/4.45 (in(kpair(X14,X12),X8) => 26.84/4.45 in(kpair(X10,X12),breln1compset(X4,X6,X8)))))))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1compprop, axiom, breln1compprop <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => (![S]: (breln1(A,S) => breln1(A,breln1compset(A,R,S))))))). 26.84/4.45 tff('21', plain, 26.84/4.45 breln1compprop = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: (breln1(X4,X8) => breln1(X4,breln1compset(X4,X6,X8)))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1invE, axiom, breln1invE <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => 26.84/4.45 (in(kpair(Xy,Xx),breln1invset(A,R)) => in(kpair(Xx,Xy),R))))))))). 26.84/4.45 tff('22', plain, 26.84/4.45 breln1invE = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (in(X8,X4) => 26.84/4.45 (![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (in(kpair(X10,X8),breln1invset(X4,X6)) => 26.84/4.45 in(kpair(X8,X10),X6)))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1invI, axiom, breln1invI <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => 26.84/4.45 (in(kpair(Xx,Xy),R) => in(kpair(Xy,Xx),breln1invset(A,R)))))))))). 26.84/4.45 tff('23', plain, 26.84/4.45 breln1invI = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (in(X8,X4) => 26.84/4.45 (![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (in(kpair(X8,X10),X6) => 26.84/4.45 in(kpair(X10,X8),breln1invset(X4,X6))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1invprop, axiom, breln1invprop <=> 26.84/4.45 (![A,R]: (breln1(A,R) => breln1(A,breln1invset(A,R))))). 26.84/4.45 tff('24', plain, 26.84/4.45 breln1invprop = 26.84/4.45 (![X4,X6]: (breln1(X4,X6) => breln1(X4,breln1invset(X4,X6)))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(eqbreln1, axiom, eqbreln1 <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 ((![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 26.84/4.45 ((![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),R)))))) => 26.84/4.45 (R = S)))))))). 26.84/4.45 tff('25', plain, 26.84/4.45 eqbreln1 = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 ((![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (![X12]: 26.84/4.45 (in(X12,X4) => 26.84/4.45 (in(kpair(X10,X12),X6) => in(kpair(X10,X12),X8)))))) => 26.84/4.45 ((![X14]: 26.84/4.45 (in(X14,X4) => 26.84/4.45 (![X16]: 26.84/4.45 (in(X16,X4) => 26.84/4.45 (in(kpair(X14,X16),X8) => in(kpair(X14,X16),X6)))))) => 26.84/4.45 (X6 = X8))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(subbreln1, axiom, subbreln1 <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![S]: 26.84/4.45 (breln1(A,S) => 26.84/4.45 ((![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 26.84/4.45 subset(R,S))))))). 26.84/4.45 tff('26', plain, 26.84/4.45 subbreln1 = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8]: 26.84/4.45 (breln1(X4,X8) => 26.84/4.45 ((![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (![X12]: 26.84/4.45 (in(X12,X4) => 26.84/4.45 (in(kpair(X10,X12),X6) => in(kpair(X10,X12),X8)))))) => 26.84/4.45 subset(X6,X8)))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1all1, axiom, breln1all1 <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![Xphi:(($i > $o))]: 26.84/4.45 ((![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 26.84/4.45 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 26.84/4.45 tff('27', plain, 26.84/4.45 breln1all1 = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8:(($i > $o))]: 26.84/4.45 ((![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (![X12]: 26.84/4.45 (in(X12,X4) => 26.84/4.45 (in(kpair(X10,X12),X6) => X8(kpair(X10,X12))))))) => 26.84/4.45 (![X14]: (in(X14,X6) => X8(X14))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(setOfPairsIsBReln1, axiom, setOfPairsIsBReln1 <=> 26.84/4.45 (![A,Xphi:(($i * $i) > $o)]: 26.84/4.45 breln1(A,dpsetconstr(A,A,^[Xx,Xy]: Xphi(Xx,Xy))))). 26.84/4.45 tff('28', plain, 26.84/4.45 setOfPairsIsBReln1 = 26.84/4.45 (![X4,X6:(($i * $i) > $o)]: 26.84/4.45 breln1(X4,dpsetconstr(X4,X4,^[V_1,V_2]: X6(V_1,V_2)))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(choice2fnsingleton, axiom, choice2fnsingleton <=> 26.84/4.45 (![A,B,Xphi:(($i * $i) > $o)]: 26.84/4.45 ((![Xx]: (in(Xx,A) => (?[Xy]: (Xphi(Xx,Xy) & in(Xy,B))))) => 26.84/4.45 (![R]: 26.84/4.45 (in(R,breln1Set(B)) => 26.84/4.45 (reflwellordering(B,R) => 26.84/4.45 (![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 singleton(dsetconstr(B, 26.84/4.45 ^[Xy]: 26.84/4.45 (Xphi(Xx,Xy) & 26.84/4.45 (![Xz]: 26.84/4.45 (in(Xz,B) => 26.84/4.45 (Xphi(Xx,Xz) => in(kpair(Xy,Xz),R))))))))))))))). 26.84/4.45 tff('29', plain, 26.84/4.45 choice2fnsingleton = 26.84/4.45 (![X4,X6,X8:(($i * $i) > $o)]: 26.84/4.45 ((![X10]: (in(X10,X4) => (?[X12]: (X8(X10,X12) & in(X12,X6))))) => 26.84/4.45 (![X14]: 26.84/4.45 (in(X14,breln1Set(X6)) => 26.84/4.45 (reflwellordering(X6,X14) => 26.84/4.45 (![X16]: 26.84/4.45 (in(X16,X4) => 26.84/4.45 singleton(dsetconstr(X6, 26.84/4.45 ^[V_1]: 26.84/4.45 (X8(X16,V_1) & 26.84/4.45 (![X18]: 26.84/4.45 (in(X18,X6) => 26.84/4.45 (X8(X16,X18) => 26.84/4.45 in(kpair(V_1,X18),X14)))))))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1SetBreln1, axiom, breln1SetBreln1 <=> 26.84/4.45 (![A,R]: (in(R,breln1Set(A)) => breln1(A,R)))). 26.84/4.45 tff('30', plain, 26.84/4.45 breln1SetBreln1 = (![X4,X6]: (in(X6,breln1Set(X4)) => breln1(X4,X6))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(breln1all2, axiom, breln1all2 <=> 26.84/4.45 (![A,R]: 26.84/4.45 (breln1(A,R) => 26.84/4.45 (![Xphi:(($i > $o))]: 26.84/4.45 ((![Xx]: 26.84/4.45 (in(Xx,A) => 26.84/4.45 (![Xy]: 26.84/4.45 (in(Xy,A) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 26.84/4.45 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 26.84/4.45 tff('31', plain, 26.84/4.45 breln1all2 = 26.84/4.45 (![X4,X6]: 26.84/4.45 (breln1(X4,X6) => 26.84/4.45 (![X8:(($i > $o))]: 26.84/4.45 ((![X10]: 26.84/4.45 (in(X10,X4) => 26.84/4.45 (![X12]: 26.84/4.45 (in(X12,X4) => 26.84/4.45 (in(kpair(X10,X12),X6) => X8(kpair(X10,X12))))))) => 26.84/4.45 (![X14]: (in(X14,X6) => X8(X14))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(woz1_5, axiom, woz1_5 <=> 26.84/4.45 (![A,X]: 26.84/4.45 (in(X,powerset(A)) => 26.84/4.45 (![Y]: 26.84/4.45 (in(Y,powerset(A)) => 26.84/4.45 in(setminus(A,binunion(X,Y)),powerset(setminus(A,X)))))))). 26.84/4.45 tff('32', plain, 26.84/4.45 woz1_5 = 26.84/4.45 (![X4,X6]: 26.84/4.45 (in(X6,powerset(X4)) => 26.84/4.45 (![X8]: 26.84/4.45 (in(X8,powerset(X4)) => 26.84/4.45 in(setminus(X4,binunion(X6,X8)),powerset(setminus(X4,X6))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(woz1_4, axiom, woz1_4 <=> 26.84/4.45 (![A,X]: 26.84/4.45 (in(X,powerset(A)) => 26.84/4.45 (![Y]: 26.84/4.45 (in(Y,powerset(A)) => 26.84/4.45 (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X)))))))). 26.84/4.45 tff('33', plain, 26.84/4.45 woz1_4 = 26.84/4.45 (![X4,X6]: 26.84/4.45 (in(X6,powerset(X4)) => 26.84/4.45 (![X8]: 26.84/4.45 (in(X8,powerset(X4)) => 26.84/4.45 (subset(X6,setminus(X4,X8)) => subset(X8,setminus(X4,X6))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(woz1_3, axiom, woz1_3 <=> 26.84/4.45 (![A,X]: 26.84/4.45 (in(X,powerset(A)) => 26.84/4.45 (![Y]: 26.84/4.45 (in(Y,powerset(A)) => 26.84/4.45 (![Z]: 26.84/4.45 (in(Z,powerset(A)) => 26.84/4.45 in(binintersect(X,Y), 26.84/4.45 powerset(binintersect(binunion(X,Z),binunion(Y,Z))))))))))). 26.84/4.45 tff('34', plain, 26.84/4.45 woz1_3 = 26.84/4.45 (![X4,X6]: 26.84/4.45 (in(X6,powerset(X4)) => 26.84/4.45 (![X8]: 26.84/4.45 (in(X8,powerset(X4)) => 26.84/4.45 (![X10]: 26.84/4.45 (in(X10,powerset(X4)) => 26.84/4.45 in(binintersect(X6,X8), 26.84/4.45 powerset(binintersect(binunion(X6,X10),binunion(X8,X10)))))))))), 26.84/4.45 define([status(thm)])). 26.84/4.45 tff(woz1_2, axiom, woz1_2 <=> 26.84/4.45 (![A,X]: 26.84/4.45 (in(X,powerset(A)) => 26.84/4.45 (![Y]: 26.84/4.45 (in(Y,powerset(A)) => 26.84/4.45 (![Z]: 26.84/4.45 (in(Z,powerset(A)) => 26.84/4.45 (![W]: 26.84/4.45 (in(W,powerset(A)) => 26.84/4.45 (setminus(A,binintersect(binunion(X,Y),binunion(Z,W))) = 26.84/4.45 binunion(binintersect(setminus(A,X),setminus(A,Y)), 26.84/4.45 binintersect(setminus(A,Z),setminus(A,W))))))))))))). 26.84/4.46 tff('35', plain, 26.84/4.46 woz1_2 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,powerset(X4)) => 26.84/4.46 (![X12]: 26.84/4.46 (in(X12,powerset(X4)) => 26.84/4.46 (setminus(X4, 26.84/4.46 binintersect(binunion(X6,X8),binunion(X10,X12))) = 26.84/4.46 binunion(binintersect(setminus(X4,X6),setminus(X4,X8)), 26.84/4.46 binintersect(setminus(X4,X10),setminus(X4,X12)))))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(woz1_1, axiom, woz1_1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 in(setminus(A,X),powerset(setminus(A,binintersect(X,Y))))))))). 26.84/4.46 tff('36', plain, 26.84/4.46 woz1_1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 in(setminus(X4,X6),powerset(setminus(X4,binintersect(X6,X8)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(woz13rule4, axiom, woz13rule4 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Z]: 26.84/4.46 (in(Z,powerset(A)) => 26.84/4.46 (![W]: 26.84/4.46 (in(W,powerset(A)) => 26.84/4.46 (subset(X,Z) => 26.84/4.46 (subset(Y,W) => 26.84/4.46 subset(binintersect(X,Y),binintersect(Z,W))))))))))))). 26.84/4.46 tff('37', plain, 26.84/4.46 woz13rule4 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,powerset(X4)) => 26.84/4.46 (![X12]: 26.84/4.46 (in(X12,powerset(X4)) => 26.84/4.46 (subset(X6,X10) => 26.84/4.46 (subset(X8,X12) => 26.84/4.46 subset(binintersect(X6,X8),binintersect(X10,X12)))))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(woz13rule3, axiom, woz13rule3 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Z]: 26.84/4.46 (in(Z,powerset(A)) => 26.84/4.46 (subset(X,Y) => (subset(X,Z) => subset(X,binintersect(Y,Z))))))))))). 26.84/4.46 tff('38', plain, 26.84/4.46 woz13rule3 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,powerset(X4)) => 26.84/4.46 (subset(X6,X8) => 26.84/4.46 (subset(X6,X10) => subset(X6,binintersect(X8,X10)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(woz13rule2, axiom, woz13rule2 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Z]: 26.84/4.46 (in(Z,powerset(A)) => 26.84/4.46 (subset(Y,Z) => subset(binintersect(X,Y),Z))))))))). 26.84/4.46 tff('39', plain, 26.84/4.46 woz13rule2 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,powerset(X4)) => 26.84/4.46 (subset(X8,X10) => subset(binintersect(X6,X8),X10)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(woz13rule1, axiom, woz13rule1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Z]: 26.84/4.46 (in(Z,powerset(A)) => 26.84/4.46 (subset(X,Z) => subset(binintersect(X,Y),Z))))))))). 26.84/4.46 tff('40', plain, 26.84/4.46 woz13rule1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,powerset(X4)) => 26.84/4.46 (subset(X6,X10) => subset(binintersect(X6,X8),X10)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(woz13rule0, axiom, woz13rule0 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: (in(Xx,binintersect(X,Y)) => in(Xx,A)))))))). 26.84/4.46 tff('41', plain, 26.84/4.46 woz13rule0 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: (in(X10,binintersect(X6,X8)) => in(X10,X4))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(demorgan2, axiom, demorgan2 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (setminus(A,binunion(X,Y)) = 26.84/4.46 binintersect(setminus(A,X),setminus(A,Y)))))))). 26.84/4.46 tff('42', plain, 26.84/4.46 demorgan2 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (setminus(X4,binunion(X6,X8)) = 26.84/4.46 binintersect(setminus(X4,X6),setminus(X4,X8))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(demorgan2b, axiom, demorgan2b <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,binintersect(setminus(A,X),setminus(A,Y))) => 26.84/4.46 in(Xx,setminus(A,binunion(X,Y))))))))))). 26.84/4.46 tff('43', plain, 26.84/4.46 demorgan2b = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (in(X10,binintersect(setminus(X4,X6),setminus(X4,X8))) => 26.84/4.46 in(X10,setminus(X4,binunion(X6,X8)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(demorgan2b2, axiom, demorgan2b2 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,setminus(A,X)) => 26.84/4.46 (in(Xx,setminus(A,Y)) => in(Xx,setminus(A,binunion(X,Y)))))))))))). 26.84/4.46 tff('44', plain, 26.84/4.46 demorgan2b2 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (in(X10,setminus(X4,X6)) => 26.84/4.46 (in(X10,setminus(X4,X8)) => 26.84/4.46 in(X10,setminus(X4,binunion(X6,X8))))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(demorgan2a, axiom, demorgan2a <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,setminus(A,binunion(X,Y))) => 26.84/4.46 in(Xx,binintersect(setminus(A,X),setminus(A,Y))))))))))). 26.84/4.46 tff('45', plain, 26.84/4.46 demorgan2a = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (in(X10,setminus(X4,binunion(X6,X8))) => 26.84/4.46 in(X10,binintersect(setminus(X4,X6),setminus(X4,X8)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(demorgan1, axiom, demorgan1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (setminus(A,binintersect(X,Y)) = 26.84/4.46 binunion(setminus(A,X),setminus(A,Y)))))))). 26.84/4.46 tff('46', plain, 26.84/4.46 demorgan1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (setminus(X4,binintersect(X6,X8)) = 26.84/4.46 binunion(setminus(X4,X6),setminus(X4,X8))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(demorgan1b, axiom, demorgan1b <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,binunion(setminus(A,X),setminus(A,Y))) => 26.84/4.46 in(Xx,setminus(A,binintersect(X,Y))))))))))). 26.84/4.46 tff('47', plain, 26.84/4.46 demorgan1b = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (in(X10,binunion(setminus(X4,X6),setminus(X4,X8))) => 26.84/4.46 in(X10,setminus(X4,binintersect(X6,X8)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(demorgan1a, axiom, demorgan1a <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,setminus(A,binintersect(X,Y))) => 26.84/4.46 in(Xx,binunion(setminus(A,X),setminus(A,Y))))))))))). 26.84/4.46 tff('48', plain, 26.84/4.46 demorgan1a = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (in(X10,setminus(X4,binintersect(X6,X8))) => 26.84/4.46 in(X10,binunion(setminus(X4,X6),setminus(X4,X8)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(demorgan2a2, axiom, demorgan2a2 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,Y)))))))))). 26.84/4.46 tff('49', plain, 26.84/4.46 demorgan2a2 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (in(X10,setminus(X4,binunion(X6,X8))) => 26.84/4.46 in(X10,setminus(X4,X8))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(complementUnionInPowersetComplement, axiom, 26.84/4.46 complementUnionInPowersetComplement <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 in(setminus(A,binunion(X,Y)),powerset(setminus(A,X)))))))). 26.84/4.46 tff('50', plain, 26.84/4.46 complementUnionInPowersetComplement = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 in(setminus(X4,binunion(X6,X8)),powerset(setminus(X4,X6))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(demorgan2a1, axiom, demorgan2a1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,X)))))))))). 26.84/4.46 tff('51', plain, 26.84/4.46 demorgan2a1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (in(X10,setminus(X4,binunion(X6,X8))) => 26.84/4.46 in(X10,setminus(X4,X6))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binunionTEcontra, axiom, binunionTEcontra <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 ((~in(Xx,X)) => ((~in(Xx,Y)) => (~in(Xx,binunion(X,Y)))))))))))). 26.84/4.46 tff('52', plain, 26.84/4.46 binunionTEcontra = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 ((~in(X10,X6)) => 26.84/4.46 ((~in(X10,X8)) => (~in(X10,binunion(X6,X8))))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binunionTE, axiom, binunionTE <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xphi:$o,Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,binunion(X,Y)) => 26.84/4.46 ((in(Xx,X) => Xphi) => ((in(Xx,Y) => Xphi) => Xphi)))))))))). 26.84/4.46 tff('53', plain, 26.84/4.46 binunionTE = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10:$o,X12]: 26.84/4.46 (in(X12,X4) => 26.84/4.46 (in(X12,binunion(X6,X8)) => 26.84/4.46 ((in(X12,X6) => X10) => ((in(X12,X8) => X10) => X10))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(inComplementUnionImpInComplement1, axiom, 26.84/4.46 inComplementUnionImpInComplement1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,X)))))))))). 26.84/4.46 tff('54', plain, 26.84/4.46 inComplementUnionImpInComplement1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (in(X10,setminus(X4,binunion(X6,X8))) => 26.84/4.46 in(X10,setminus(X4,X6))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(inComplementUnionImpNotIn1, axiom, inComplementUnionImpNotIn1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => (in(Xx,setminus(A,binunion(X,Y))) => (~in(Xx,X)))))))))). 26.84/4.46 tff('55', plain, 26.84/4.46 inComplementUnionImpNotIn1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (in(X10,setminus(X4,binunion(X6,X8))) => (~in(X10,X6))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(intersectInPowersetIntersectUnions, axiom, 26.84/4.46 intersectInPowersetIntersectUnions <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Z]: 26.84/4.46 (in(Z,powerset(A)) => 26.84/4.46 in(binintersect(X,Y), 26.84/4.46 powerset(binintersect(binunion(X,Z),binunion(Y,Z))))))))))). 26.84/4.46 tff('56', plain, 26.84/4.46 intersectInPowersetIntersectUnions = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,powerset(X4)) => 26.84/4.46 in(binintersect(X6,X8), 26.84/4.46 powerset(binintersect(binunion(X6,X10),binunion(X8,X10)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(inIntersectImpInIntersectUnions, axiom, 26.84/4.46 inIntersectImpInIntersectUnions <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Z]: 26.84/4.46 (in(Z,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,binintersect(X,Y)) => 26.84/4.46 in(Xx,binintersect(binunion(X,Z),binunion(Y,Z))))))))))))). 26.84/4.46 tff('57', plain, 26.84/4.46 inIntersectImpInIntersectUnions = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,powerset(X4)) => 26.84/4.46 (![X12]: 26.84/4.46 (in(X12,X4) => 26.84/4.46 (in(X12,binintersect(X6,X8)) => 26.84/4.46 in(X12,binintersect(binunion(X6,X10),binunion(X8,X10)))))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(inIntersectImpInUnion2, axiom, inIntersectImpInUnion2 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Z]: 26.84/4.46 (in(Z,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,binintersect(X,Y)) => in(Xx,binunion(Y,Z)))))))))))). 26.84/4.46 tff('58', plain, 26.84/4.46 inIntersectImpInUnion2 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,powerset(X4)) => 26.84/4.46 (![X12]: 26.84/4.46 (in(X12,X4) => 26.84/4.46 (in(X12,binintersect(X6,X8)) => in(X12,binunion(X8,X10))))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(inIntersectImpInUnion, axiom, inIntersectImpInUnion <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Z]: 26.84/4.46 (in(Z,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,binintersect(X,Y)) => in(Xx,binunion(X,Z)))))))))))). 26.84/4.46 tff('59', plain, 26.84/4.46 inIntersectImpInUnion = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,powerset(X4)) => 26.84/4.46 (![X12]: 26.84/4.46 (in(X12,X4) => 26.84/4.46 (in(X12,binintersect(X6,X8)) => in(X12,binunion(X6,X10))))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binunionTIRcontra, axiom, binunionTIRcontra <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,Y)))))))))). 26.84/4.46 tff('60', plain, 26.84/4.46 binunionTIRcontra = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => ((~in(X10,binunion(X6,X8))) => (~in(X10,X8))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binunionTILcontra, axiom, binunionTILcontra <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,X)))))))))). 26.84/4.46 tff('61', plain, 26.84/4.46 binunionTILcontra = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => ((~in(X10,binunion(X6,X8))) => (~in(X10,X6))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(complementTcontraSubset, axiom, complementTcontraSubset <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X)))))))). 26.84/4.46 tff('62', plain, 26.84/4.46 complementTcontraSubset = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (subset(X6,setminus(X4,X8)) => subset(X8,setminus(X4,X6))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(contraSubsetComplement, axiom, contraSubsetComplement <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (subset(X,setminus(A,Y)) => 26.84/4.46 (![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,setminus(A,X))))))))))). 26.84/4.46 tff('63', plain, 26.84/4.46 contraSubsetComplement = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (subset(X6,setminus(X4,X8)) => 26.84/4.46 (![X10]: (in(X10,X4) => (in(X10,X8) => in(X10,setminus(X4,X6)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(complementInPowersetComplementIntersect, axiom, 26.84/4.46 complementInPowersetComplementIntersect <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 in(setminus(A,X),powerset(setminus(A,binintersect(X,Y))))))))). 26.84/4.46 tff('64', plain, 26.84/4.46 complementInPowersetComplementIntersect = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 in(setminus(X4,X6),powerset(setminus(X4,binintersect(X6,X8)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(complementSubsetComplementIntersect, axiom, 26.84/4.46 complementSubsetComplementIntersect <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 subset(setminus(A,X),setminus(A,binintersect(X,Y)))))))). 26.84/4.46 tff('65', plain, 26.84/4.46 complementSubsetComplementIntersect = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 subset(setminus(X4,X6),setminus(X4,binintersect(X6,X8))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(complementImpComplementIntersect, axiom, 26.84/4.46 complementImpComplementIntersect <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,setminus(A,X)) => in(Xx,setminus(A,binintersect(X,Y))))))))))). 26.84/4.46 tff('66', plain, 26.84/4.46 complementImpComplementIntersect = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (in(X10,setminus(X4,X6)) => 26.84/4.46 in(X10,setminus(X4,binintersect(X6,X8)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(complementTnotintersectT, axiom, complementTnotintersectT <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (in(Xx,setminus(A,X)) => (~in(Xx,binintersect(X,Y))))))))))). 26.84/4.46 tff('67', plain, 26.84/4.46 complementTnotintersectT = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (in(X10,setminus(X4,X6)) => (~in(X10,binintersect(X6,X8)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(doubleComplementEq, axiom, doubleComplementEq <=> 26.84/4.46 (![A,X]: (in(X,powerset(A)) => (X = setminus(A,setminus(A,X)))))). 26.84/4.46 tff('68', plain, 26.84/4.46 doubleComplementEq = 26.84/4.46 (![X4,X6]: (in(X6,powerset(X4)) => (X6 = setminus(X4,setminus(X4,X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(doubleComplementSub2, axiom, doubleComplementSub2 <=> 26.84/4.46 (![A,X]: (in(X,powerset(A)) => subset(setminus(A,setminus(A,X)),X)))). 26.84/4.46 tff('69', plain, 26.84/4.46 doubleComplementSub2 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => subset(setminus(X4,setminus(X4,X6)),X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(doubleComplementSub1, axiom, doubleComplementSub1 <=> 26.84/4.46 (![A,X]: (in(X,powerset(A)) => subset(X,setminus(A,setminus(A,X)))))). 26.84/4.46 tff('70', plain, 26.84/4.46 doubleComplementSub1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => subset(X6,setminus(X4,setminus(X4,X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(doubleComplementE1, axiom, doubleComplementE1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Xx]: (in(Xx,A) => (in(Xx,setminus(A,setminus(A,X))) => in(Xx,X))))))). 26.84/4.46 tff('71', plain, 26.84/4.46 doubleComplementE1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,X4) => (in(X8,setminus(X4,setminus(X4,X6))) => in(X8,X6)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(doubleComplementI1, axiom, doubleComplementI1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,setminus(A,setminus(A,X))))))))). 26.84/4.46 tff('72', plain, 26.84/4.46 doubleComplementI1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,X4) => (in(X8,X6) => in(X8,setminus(X4,setminus(X4,X6)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(contrasubsetT3, axiom, contrasubsetT3 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (subset(setminus(A,Y),setminus(A,X)) => subset(X,Y))))))). 26.84/4.46 tff('73', plain, 26.84/4.46 contrasubsetT3 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (subset(setminus(X4,X8),setminus(X4,X6)) => subset(X6,X8)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(contrasubsetT2, axiom, contrasubsetT2 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (subset(X,Y) => subset(setminus(A,Y),setminus(A,X)))))))). 26.84/4.46 tff('74', plain, 26.84/4.46 contrasubsetT2 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (subset(X6,X8) => subset(setminus(X4,X8),setminus(X4,X6))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(contrasubsetT1, axiom, contrasubsetT1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: (in(Xx,A) => (subset(X,Y) => ((~in(Xx,Y)) => (~in(Xx,X))))))))))). 26.84/4.46 tff('75', plain, 26.84/4.46 contrasubsetT1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (subset(X6,X8) => ((~in(X10,X8)) => (~in(X10,X6)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(contrasubsetT, axiom, contrasubsetT <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (subset(X,setminus(A,Y)) => (in(Xx,Y) => (~in(Xx,X))))))))))). 26.84/4.46 tff('76', plain, 26.84/4.46 contrasubsetT = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (subset(X6,setminus(X4,X8)) => (in(X10,X8) => (~in(X10,X6)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectTERcontra, axiom, binintersectTERcontra <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: (in(Xx,A) => ((~in(Xx,Y)) => (~in(Xx,binintersect(X,Y))))))))))). 26.84/4.46 tff('77', plain, 26.84/4.46 binintersectTERcontra = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 ((~in(X10,X8)) => (~in(X10,binintersect(X6,X8)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectTELcontra, axiom, binintersectTELcontra <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: (in(Xx,A) => ((~in(Xx,X)) => (~in(Xx,binintersect(X,Y))))))))))). 26.84/4.46 tff('78', plain, 26.84/4.46 binintersectTELcontra = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 ((~in(X10,X6)) => (~in(X10,binintersect(X6,X8)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(complementTE1, axiom, complementTE1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Xx]: (in(Xx,A) => ((~in(Xx,setminus(A,X))) => in(Xx,X))))))). 26.84/4.46 tff('79', plain, 26.84/4.46 complementTE1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: (in(X8,X4) => ((~in(X8,setminus(X4,X6))) => in(X8,X6)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(complementTI1, axiom, complementTI1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Xx]: (in(Xx,A) => (in(Xx,X) => (~in(Xx,setminus(A,X))))))))). 26.84/4.46 tff('80', plain, 26.84/4.46 complementTI1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: (in(X8,X4) => (in(X8,X6) => (~in(X8,setminus(X4,X6)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(powersetTE1, axiom, powersetTE1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 (![Xx]: (in(Xx,A) => (in(X,powerset(Y)) => (in(Xx,X) => in(Xx,Y)))))))))). 26.84/4.46 tff('81', plain, 26.84/4.46 powersetTE1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (in(X6,powerset(X8)) => (in(X10,X6) => in(X10,X8))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(powersetTI1, axiom, powersetTI1 <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => in(X,powerset(Y)))))))). 26.84/4.46 tff('82', plain, 26.84/4.46 powersetTI1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 26.84/4.46 in(X6,powerset(X8))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(subsetTI, axiom, subsetTI <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y))))))). 26.84/4.46 tff('83', plain, 26.84/4.46 subsetTI = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 26.84/4.46 subset(X6,X8)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setextT, axiom, setextT <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: 26.84/4.46 (in(Y,powerset(A)) => 26.84/4.46 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => 26.84/4.46 ((![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,X)))) => (X = Y)))))))). 26.84/4.46 tff('84', plain, 26.84/4.46 setextT = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,powerset(X4)) => 26.84/4.46 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 26.84/4.46 ((![X12]: (in(X12,X4) => (in(X12,X8) => in(X12,X6)))) => 26.84/4.46 (X6 = X8))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(complementT_lem, axiom, complementT_lem <=> 26.84/4.46 (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A))))). 26.84/4.46 tff('85', plain, 26.84/4.46 complementT_lem = 26.84/4.46 (![X4,X6]: (in(X6,powerset(X4)) => in(setminus(X4,X6),powerset(X4)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setminusT_lem, axiom, setminusT_lem <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: (in(Y,powerset(A)) => in(setminus(X,Y),powerset(A))))))). 26.84/4.46 tff('86', plain, 26.84/4.46 setminusT_lem = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: (in(X8,powerset(X4)) => in(setminus(X6,X8),powerset(X4)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(powersetT_lem, axiom, powersetT_lem <=> 26.84/4.46 (![A,X]: (in(X,powerset(A)) => in(powerset(X),powerset(powerset(A)))))). 26.84/4.46 tff('87', plain, 26.84/4.46 powersetT_lem = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => in(powerset(X6),powerset(powerset(X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binunionT_lem, axiom, binunionT_lem <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A))))))). 26.84/4.46 tff('88', plain, 26.84/4.46 binunionT_lem = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: (in(X8,powerset(X4)) => in(binunion(X6,X8),powerset(X4)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectT_lem, axiom, binintersectT_lem <=> 26.84/4.46 (![A,X]: 26.84/4.46 (in(X,powerset(A)) => 26.84/4.46 (![Y]: (in(Y,powerset(A)) => in(binintersect(X,Y),powerset(A))))))). 26.84/4.46 tff('89', plain, 26.84/4.46 binintersectT_lem = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,powerset(X4)) => 26.84/4.46 (![X8]: (in(X8,powerset(X4)) => in(binintersect(X6,X8),powerset(X4)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(iftrueorfalse, axiom, iftrueorfalse <=> 26.84/4.46 (![A,Xphi:$o,Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,A) => 26.84/4.46 in(if(A,Xphi,Xx,Xy),setadjoin(Xx,setadjoin(Xy,emptyset)))))))). 26.84/4.46 tff('90', plain, 26.84/4.46 iftrueorfalse = 26.84/4.46 (![X4,X6:$o,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 in(if(X4,X6,X8,X10),setadjoin(X8,setadjoin(X10,emptyset))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(iffalse, axiom, iffalse <=> 26.84/4.46 (![A,Xphi:$o,Xx]: 26.84/4.46 (in(Xx,A) => (![Xy]: (in(Xy,A) => ((~Xphi) => (if(A,Xphi,Xx,Xy) = Xy))))))). 26.84/4.46 tff('91', plain, 26.84/4.46 iffalse = 26.84/4.46 (![X4,X6:$o,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: (in(X10,X4) => ((~X6) => (if(X4,X6,X8,X10) = X10)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(iftrue, axiom, iftrue <=> 26.84/4.46 (![A,Xphi:$o,Xx]: 26.84/4.46 (in(Xx,A) => (![Xy]: (in(Xy,A) => (Xphi => (if(A,Xphi,Xx,Xy) = Xx))))))). 26.84/4.46 tff('92', plain, 26.84/4.46 iftrue = 26.84/4.46 (![X4,X6:$o,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: (in(X10,X4) => (X6 => (if(X4,X6,X8,X10) = X8)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(theeq, axiom, theeq <=> 26.84/4.46 (![X]: (singleton(X) => (![Xx]: (in(Xx,X) => (setunion(X) = Xx)))))). 26.84/4.46 tff('93', plain, 26.84/4.46 theeq = 26.84/4.46 (![X4]: (singleton(X4) => (![X6]: (in(X6,X4) => (setunion(X4) = X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ifp, axiom, ifp <=> 26.84/4.46 (![A,Xphi:$o,Xx]: 26.84/4.46 (in(Xx,A) => (![Xy]: (in(Xy,A) => in(if(A,Xphi,Xx,Xy),A)))))). 26.84/4.46 tff('94', plain, 26.84/4.46 ifp = 26.84/4.46 (![X4,X6:$o,X8]: 26.84/4.46 (in(X8,X4) => (![X10]: (in(X10,X4) => in(if(X4,X6,X8,X10),X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ifSingleton, axiom, ifSingleton <=> 26.84/4.46 (![A,Xphi:$o,Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,A) => 26.84/4.46 singleton(dsetconstr(A, 26.84/4.46 ^[Xz]: 26.84/4.46 ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy)))))))))). 26.84/4.46 tff('95', plain, 26.84/4.46 ifSingleton = 26.84/4.46 (![X4,X6:$o,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 singleton(dsetconstr(X4, 26.84/4.46 ^[V_1]: 26.84/4.46 ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(iftrueProp2, axiom, iftrueProp2 <=> 26.84/4.46 (![A,Xphi:$o,Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,A) => 26.84/4.46 (Xphi => 26.84/4.46 (dsetconstr(A,^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy)))) = 26.84/4.46 setadjoin(Xx,emptyset)))))))). 26.84/4.46 tff('96', plain, 26.84/4.46 iftrueProp2 = 26.84/4.46 (![X4,X6:$o,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (X6 => 26.84/4.46 (dsetconstr(X4, 26.84/4.46 ^[V_1]: ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))) = 26.84/4.46 setadjoin(X8,emptyset))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(iftrueProp1, axiom, iftrueProp1 <=> 26.84/4.46 (![A,Xphi:$o,Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,A) => 26.84/4.46 (Xphi => 26.84/4.46 in(Xx, 26.84/4.46 dsetconstr(A, 26.84/4.46 ^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy))))))))))). 26.84/4.46 tff('97', plain, 26.84/4.46 iftrueProp1 = 26.84/4.46 (![X4,X6:$o,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (X6 => 26.84/4.46 in(X8, 26.84/4.46 dsetconstr(X4, 26.84/4.46 ^[V_1]: 26.84/4.46 ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(iffalseProp2, axiom, iffalseProp2 <=> 26.84/4.46 (![A,Xphi:$o,Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,A) => 26.84/4.46 ((~Xphi) => 26.84/4.46 (dsetconstr(A,^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy)))) = 26.84/4.46 setadjoin(Xy,emptyset)))))))). 26.84/4.46 tff('98', plain, 26.84/4.46 iffalseProp2 = 26.84/4.46 (![X4,X6:$o,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 ((~X6) => 26.84/4.46 (dsetconstr(X4, 26.84/4.46 ^[V_1]: ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))) = 26.84/4.46 setadjoin(X10,emptyset))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(iffalseProp1, axiom, iffalseProp1 <=> 26.84/4.46 (![A,Xphi:$o,Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,A) => 26.84/4.46 ((~Xphi) => 26.84/4.46 in(Xy, 26.84/4.46 dsetconstr(A, 26.84/4.46 ^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy))))))))))). 26.84/4.46 tff('99', plain, 26.84/4.46 iffalseProp1 = 26.84/4.46 (![X4,X6:$o,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 ((~X6) => 26.84/4.46 in(X10, 26.84/4.46 dsetconstr(X4, 26.84/4.46 ^[V_1]: 26.84/4.46 ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(eta2, axiom, eta2 <=> 26.84/4.46 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 26.84/4.46 tff('100', plain, 26.84/4.46 eta2 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,funcSet(X4,X6)) => (lam(X4,X6,^[V_1]: ap(X4,X6,X8,V_1)) = X8))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(beta2, axiom, beta2 <=> 26.84/4.46 (![A,B,Xf:(($i > $i))]: 26.84/4.46 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 26.84/4.46 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 26.84/4.46 tff('101', plain, 26.84/4.46 beta2 = 26.84/4.46 (![X4,X6,X8:(($i > $i))]: 26.84/4.46 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 26.84/4.46 (![X12]: 26.84/4.46 (in(X12,X4) => 26.84/4.46 (ap(X4,X6,lam(X4,X6,^[V_1]: X8(V_1)),X12) = X8(X12)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(lam2lamEq, axiom, lam2lamEq <=> 26.84/4.46 (![A,B,Xf:(($i > $i))]: 26.84/4.46 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 26.84/4.46 (lam(A,B,^[Xx]: Xf(Xx)) = lam(A,B,^[Xx]: Xf(Xx)))))). 26.84/4.46 tff('102', plain, 26.84/4.46 lam2lamEq = 26.84/4.46 (![X4,X6,X8:(($i > $i))]: 26.84/4.46 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 26.84/4.46 (lam(X4,X6,^[V_1]: X8(V_1)) = lam(X4,X6,^[V_2]: X8(V_2))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(eta1, axiom, eta1 <=> 26.84/4.46 (![A,B,Xf]: (func(A,B,Xf) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 26.84/4.46 tff('103', plain, 26.84/4.46 eta1 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (func(X4,X6,X8) => (lam(X4,X6,^[V_1]: ap(X4,X6,X8,V_1)) = X8))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(beta1, axiom, beta1 <=> 26.84/4.46 (![A,B,Xf:(($i > $i))]: 26.84/4.46 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 26.84/4.46 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 26.84/4.46 tff('104', plain, 26.84/4.46 beta1 = 26.84/4.46 (![X4,X6,X8:(($i > $i))]: 26.84/4.46 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 26.84/4.46 (![X12]: 26.84/4.46 (in(X12,X4) => 26.84/4.46 (ap(X4,X6,lam(X4,X6,^[V_1]: X8(V_1)),X12) = X8(X12)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ap2apEq2, axiom, ap2apEq2 <=> 26.84/4.46 (![A,B,Xf]: 26.84/4.46 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 26.84/4.46 tff('105', plain, 26.84/4.46 ap2apEq2 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (func(X4,X6,X8) => 26.84/4.46 (![X10]: (in(X10,X4) => (ap(X4,X6,X8,X10) = ap(X4,X6,X8,X10)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ap2apEq1, axiom, ap2apEq1 <=> 26.84/4.46 (![A,B,Xf]: 26.84/4.46 (in(Xf,funcSet(A,B)) => 26.84/4.46 (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 26.84/4.46 tff('106', plain, 26.84/4.46 ap2apEq1 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,funcSet(X4,X6)) => 26.84/4.46 (![X10]: (in(X10,X4) => (ap(X4,X6,X8,X10) = ap(X4,X6,X8,X10)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(funcext2, axiom, funcext2 <=> 26.84/4.46 (![A,B,Xf]: 26.84/4.46 (in(Xf,funcSet(A,B)) => 26.84/4.46 (![Xg]: 26.84/4.46 (in(Xg,funcSet(A,B)) => 26.84/4.46 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 26.84/4.46 (Xf = Xg))))))). 26.84/4.46 tff('107', plain, 26.84/4.46 funcext2 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,funcSet(X4,X6)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,funcSet(X4,X6)) => 26.84/4.46 ((![X12]: (in(X12,X4) => (ap(X4,X6,X8,X12) = ap(X4,X6,X10,X12)))) => 26.84/4.46 (X8 = X10)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(funcext, axiom, funcext <=> 26.84/4.46 (![A,B,Xf]: 26.84/4.46 (func(A,B,Xf) => 26.84/4.46 (![Xg]: 26.84/4.46 (func(A,B,Xg) => 26.84/4.46 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 26.84/4.46 (Xf = Xg))))))). 26.84/4.46 tff('108', plain, 26.84/4.46 funcext = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (func(X4,X6,X8) => 26.84/4.46 (![X10]: 26.84/4.46 (func(X4,X6,X10) => 26.84/4.46 ((![X12]: (in(X12,X4) => (ap(X4,X6,X8,X12) = ap(X4,X6,X10,X12)))) => 26.84/4.46 (X8 = X10)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(eqbreln, axiom, eqbreln <=> 26.84/4.46 (![A,B,R]: 26.84/4.46 (breln(A,B,R) => 26.84/4.46 (![S]: 26.84/4.46 (breln(A,B,S) => 26.84/4.46 ((![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 26.84/4.46 ((![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),R)))))) => 26.84/4.46 (R = S)))))))). 26.84/4.46 tff('109', plain, 26.84/4.46 eqbreln = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (breln(X4,X6,X8) => 26.84/4.46 (![X10]: 26.84/4.46 (breln(X4,X6,X10) => 26.84/4.46 ((![X12]: 26.84/4.46 (in(X12,X4) => 26.84/4.46 (![X14]: 26.84/4.46 (in(X14,X6) => 26.84/4.46 (in(kpair(X12,X14),X8) => in(kpair(X12,X14),X10)))))) => 26.84/4.46 ((![X16]: 26.84/4.46 (in(X16,X4) => 26.84/4.46 (![X18]: 26.84/4.46 (in(X18,X6) => 26.84/4.46 (in(kpair(X16,X18),X10) => in(kpair(X16,X18),X8)))))) => 26.84/4.46 (X8 = X10))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(subbreln, axiom, subbreln <=> 26.84/4.46 (![A,B,R]: 26.84/4.46 (breln(A,B,R) => 26.84/4.46 (![S]: 26.84/4.46 (breln(A,B,S) => 26.84/4.46 ((![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 26.84/4.46 subset(R,S))))))). 26.84/4.46 tff('110', plain, 26.84/4.46 subbreln = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (breln(X4,X6,X8) => 26.84/4.46 (![X10]: 26.84/4.46 (breln(X4,X6,X10) => 26.84/4.46 ((![X12]: 26.84/4.46 (in(X12,X4) => 26.84/4.46 (![X14]: 26.84/4.46 (in(X14,X6) => 26.84/4.46 (in(kpair(X12,X14),X8) => in(kpair(X12,X14),X10)))))) => 26.84/4.46 subset(X8,X10)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(funcGraphProp4, axiom, funcGraphProp4 <=> 26.84/4.46 (![A,B,Xf]: 26.84/4.46 (in(Xf,funcSet(A,B)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 26.84/4.46 tff('111', plain, 26.84/4.46 funcGraphProp4 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,funcSet(X4,X6)) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (![X12]: 26.84/4.46 (in(X12,X6) => 26.84/4.46 (in(kpair(X10,X12),X8) => (ap(X4,X6,X8,X10) = X12)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(funcextLem, axiom, funcextLem <=> 26.84/4.46 (![A,B,Xf]: 26.84/4.46 (func(A,B,Xf) => 26.84/4.46 (![Xg]: 26.84/4.46 (func(A,B,Xg) => 26.84/4.46 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => (in(kpair(Xx,Xy),Xg) => in(kpair(Xx,Xy),Xf)))))))))))). 26.84/4.46 tff('112', plain, 26.84/4.46 funcextLem = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (func(X4,X6,X8) => 26.84/4.46 (![X10]: 26.84/4.46 (func(X4,X6,X10) => 26.84/4.46 ((![X12]: (in(X12,X4) => (ap(X4,X6,X8,X12) = ap(X4,X6,X10,X12)))) => 26.84/4.46 (![X14]: 26.84/4.46 (in(X14,X4) => 26.84/4.46 (![X16]: 26.84/4.46 (in(X16,X6) => 26.84/4.46 (in(kpair(X14,X16),X10) => in(kpair(X14,X16),X8))))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(funcGraphProp2, axiom, funcGraphProp2 <=> 26.84/4.46 (![A,B,Xf]: 26.84/4.46 (func(A,B,Xf) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 26.84/4.46 tff('113', plain, 26.84/4.46 funcGraphProp2 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (func(X4,X6,X8) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (![X12]: 26.84/4.46 (in(X12,X6) => 26.84/4.46 (in(kpair(X10,X12),X8) => (ap(X4,X6,X8,X10) = X12)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(funcGraphProp3, axiom, funcGraphProp3 <=> 26.84/4.46 (![A,B,Xf]: 26.84/4.46 (in(Xf,funcSet(A,B)) => 26.84/4.46 (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 26.84/4.46 tff('114', plain, 26.84/4.46 funcGraphProp3 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,funcSet(X4,X6)) => 26.84/4.46 (![X10]: (in(X10,X4) => in(kpair(X10,ap(X4,X6,X8,X10)),X8))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(funcGraphProp1, axiom, funcGraphProp1 <=> 26.84/4.46 (![A,B,Xf]: 26.84/4.46 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 26.84/4.46 tff('115', plain, 26.84/4.46 funcGraphProp1 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (func(X4,X6,X8) => 26.84/4.46 (![X10]: (in(X10,X4) => in(kpair(X10,ap(X4,X6,X8,X10)),X8))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ex1E2, axiom, ex1E2 <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: 26.84/4.46 (ex1(A,^[Xx]: Xphi(Xx)) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))))))))). 26.84/4.46 tff('116', plain, 26.84/4.46 ex1E2 = 26.84/4.46 (![X4,X6:(($i > $o))]: 26.84/4.46 (ex1(X4,^[V_1]: X6(V_1)) => 26.84/4.46 (![X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: (in(X10,X4) => (X6(X8) => (X6(X10) => (X8 = X10))))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(brelnall2, axiom, brelnall2 <=> 26.84/4.46 (![A,B,R]: 26.84/4.46 (breln(A,B,R) => 26.84/4.46 (![Xphi:(($i > $o))]: 26.84/4.46 ((![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 26.84/4.46 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 26.84/4.46 tff('117', plain, 26.84/4.46 brelnall2 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (breln(X4,X6,X8) => 26.84/4.46 (![X10:(($i > $o))]: 26.84/4.46 ((![X12]: 26.84/4.46 (in(X12,X4) => 26.84/4.46 (![X14]: 26.84/4.46 (in(X14,X6) => 26.84/4.46 (in(kpair(X12,X14),X8) => X10(kpair(X12,X14))))))) => 26.84/4.46 (![X16]: (in(X16,X8) => X10(X16))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(brelnall1, axiom, brelnall1 <=> 26.84/4.46 (![A,B,R]: 26.84/4.46 (breln(A,B,R) => 26.84/4.46 (![Xphi:(($i > $o))]: 26.84/4.46 ((![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 26.84/4.46 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 26.84/4.46 tff('118', plain, 26.84/4.46 brelnall1 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (breln(X4,X6,X8) => 26.84/4.46 (![X10:(($i > $o))]: 26.84/4.46 ((![X12]: 26.84/4.46 (in(X12,X4) => 26.84/4.46 (![X14]: 26.84/4.46 (in(X14,X6) => 26.84/4.46 (in(kpair(X12,X14),X8) => X10(kpair(X12,X14))))))) => 26.84/4.46 (![X16]: (in(X16,X8) => X10(X16))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(lam2p, axiom, lam2p <=> 26.84/4.46 (![A,B,Xf:(($i > $i))]: 26.84/4.46 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 26.84/4.46 in(lam(A,B,^[Xx]: Xf(Xx)),funcSet(A,B))))). 26.84/4.46 tff('119', plain, 26.84/4.46 lam2p = 26.84/4.46 (![X4,X6,X8:(($i > $i))]: 26.84/4.46 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 26.84/4.46 in(lam(X4,X6,^[V_1]: X8(V_1)),funcSet(X4,X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(lamp, axiom, lamp <=> 26.84/4.46 (![A,B,Xf:(($i > $i))]: 26.84/4.46 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => func(A,B,lam(A,B,^[Xx]: Xf(Xx)))))). 26.84/4.46 tff('120', plain, 26.84/4.46 lamp = 26.84/4.46 (![X4,X6,X8:(($i > $i))]: 26.84/4.46 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 26.84/4.46 func(X4,X6,lam(X4,X6,^[V_1]: X8(V_1))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(lamProp, axiom, lamProp <=> 26.84/4.46 (![A,B,Xf:(($i > $i))]: 26.84/4.46 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 26.84/4.46 func(A,B,dpsetconstr(A,B,^[Xx,Xy]: (Xf(Xx) = Xy)))))). 26.84/4.46 tff('121', plain, 26.84/4.46 lamProp = 26.84/4.46 (![X4,X6,X8:(($i > $i))]: 26.84/4.46 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 26.84/4.46 func(X4,X6,dpsetconstr(X4,X6,^[V_1,V_2]: (X8(V_1) = V_2))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(funcinfuncset, axiom, funcinfuncset <=> 26.84/4.46 (![A,B,Xf]: (func(A,B,Xf) => in(Xf,funcSet(A,B))))). 26.84/4.46 tff('122', plain, 26.84/4.46 funcinfuncset = (![X4,X6,X8]: (func(X4,X6,X8) => in(X8,funcSet(X4,X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ap2p, axiom, ap2p <=> 26.84/4.46 (![A,B,Xf]: 26.84/4.46 (in(Xf,funcSet(A,B)) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 26.84/4.46 tff('123', plain, 26.84/4.46 ap2p = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,funcSet(X4,X6)) => 26.84/4.46 (![X10]: (in(X10,X4) => in(ap(X4,X6,X8,X10),X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(infuncsetfunc, axiom, infuncsetfunc <=> 26.84/4.46 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => func(A,B,Xf)))). 26.84/4.46 tff('124', plain, 26.84/4.46 infuncsetfunc = (![X4,X6,X8]: (in(X8,funcSet(X4,X6)) => func(X4,X6,X8))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(app, axiom, app <=> 26.84/4.46 (![A,B,Xf]: (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 26.84/4.46 tff('125', plain, 26.84/4.46 app = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (func(X4,X6,X8) => (![X10]: (in(X10,X4) => in(ap(X4,X6,X8,X10),X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(apProp, axiom, apProp <=> 26.84/4.46 (![A,B,Xf]: 26.84/4.46 (func(A,B,Xf) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 in(setunion(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf))),B)))))). 26.84/4.46 tff('126', plain, 26.84/4.46 apProp = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (func(X4,X6,X8) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 in(setunion(dsetconstr(X6,^[V_1]: in(kpair(X10,V_1),X8))),X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(funcImageSingleton, axiom, funcImageSingleton <=> 26.84/4.46 (![A,B,Xf]: 26.84/4.46 (func(A,B,Xf) => 26.84/4.46 (![Xx]: 26.84/4.46 (in(Xx,A) => singleton(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf)))))))). 26.84/4.46 tff('127', plain, 26.84/4.46 funcImageSingleton = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (func(X4,X6,X8) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 singleton(dsetconstr(X6,^[V_1]: in(kpair(X10,V_1),X8))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(dpsetconstrER, axiom, dpsetconstrER <=> 26.84/4.46 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 26.84/4.46 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => Xphi(Xx,Xy)))). 26.84/4.46 tff('128', plain, 26.84/4.46 dpsetconstrER = 26.84/4.46 (![X4,X6,X8:(($i * $i) > $o),X10,X12]: 26.84/4.46 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 26.84/4.46 X8(X10,X12))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(dpsetconstrEL2, axiom, dpsetconstrEL2 <=> 26.84/4.46 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 26.84/4.46 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xy,B)))). 26.84/4.46 tff('129', plain, 26.84/4.46 dpsetconstrEL2 = 26.84/4.46 (![X4,X6,X8:(($i * $i) > $o),X10,X12]: 26.84/4.46 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 26.84/4.46 in(X12,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(dpsetconstrEL1, axiom, dpsetconstrEL1 <=> 26.84/4.46 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 26.84/4.46 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xx,A)))). 26.84/4.46 tff('130', plain, 26.84/4.46 dpsetconstrEL1 = 26.84/4.46 (![X4,X6,X8:(($i * $i) > $o),X10,X12]: 26.84/4.46 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 26.84/4.46 in(X10,X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(dpsetconstrERa, axiom, dpsetconstrERa <=> 26.84/4.46 (![A,B,Xphi:(($i * $i) > $o),Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => 26.84/4.46 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => 26.84/4.46 Xphi(Xx,Xy))))))). 26.84/4.46 tff('131', plain, 26.84/4.46 dpsetconstrERa = 26.84/4.46 (![X4,X6,X8:(($i * $i) > $o),X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (![X12]: 26.84/4.46 (in(X12,X6) => 26.84/4.46 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 26.84/4.46 X8(X10,X12)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setOfPairsIsBReln, axiom, setOfPairsIsBReln <=> 26.84/4.46 (![A,B,Xphi:(($i * $i) > $o)]: 26.84/4.46 breln(A,B,dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy))))). 26.84/4.46 tff('132', plain, 26.84/4.46 setOfPairsIsBReln = 26.84/4.46 (![X4,X6,X8:(($i * $i) > $o)]: 26.84/4.46 breln(X4,X6,dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(dpsetconstrSub, axiom, dpsetconstrSub <=> 26.84/4.46 (![A,B,Xphi:(($i * $i) > $o)]: 26.84/4.46 subset(dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy)),cartprod(A,B)))). 26.84/4.46 tff('133', plain, 26.84/4.46 dpsetconstrSub = 26.84/4.46 (![X4,X6,X8:(($i * $i) > $o)]: 26.84/4.46 subset(dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)),cartprod(X4,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(dpsetconstrI, axiom, dpsetconstrI <=> 26.84/4.46 (![A,B,Xphi:(($i * $i) > $o),Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => 26.84/4.46 (Xphi(Xx,Xy) => 26.84/4.46 in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))))))))). 26.84/4.46 tff('134', plain, 26.84/4.46 dpsetconstrI = 26.84/4.46 (![X4,X6,X8:(($i * $i) > $o),X10]: 26.84/4.46 (in(X10,X4) => 26.84/4.46 (![X12]: 26.84/4.46 (in(X12,X6) => 26.84/4.46 (X8(X10,X12) => 26.84/4.46 in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(cartprodpairsurjEq, axiom, cartprodpairsurjEq <=> 26.84/4.46 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 26.84/4.46 tff('135', plain, 26.84/4.46 cartprodpairsurjEq = 26.84/4.46 (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => (kpair(kfst(X8),ksnd(X8)) = X8))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(cartprodsndpairEq, axiom, cartprodsndpairEq <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (ksnd(kpair(Xx,Xy)) = Xy)))))). 26.84/4.46 tff('136', plain, 26.84/4.46 cartprodsndpairEq = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,X4) => (![X10]: (in(X10,X6) => (ksnd(kpair(X8,X10)) = X10))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(cartprodfstpairEq, axiom, cartprodfstpairEq <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (kfst(kpair(Xx,Xy)) = Xx)))))). 26.84/4.46 tff('137', plain, 26.84/4.46 cartprodfstpairEq = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,X4) => (![X10]: (in(X10,X6) => (kfst(kpair(X8,X10)) = X8))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(cartprodmempaircEq, axiom, cartprodmempaircEq <=> 26.84/4.46 (![A,B,Xx]: 26.84/4.46 (in(Xx,A) => (![Xy]: (in(Xy,B) => (kpair(Xx,Xy) = kpair(Xx,Xy))))))). 26.84/4.46 tff('138', plain, 26.84/4.46 cartprodmempaircEq = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: (in(X10,X6) => (kpair(X8,X10) = kpair(X8,X10)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(cartprodpairmemER, axiom, cartprodpairmemER <=> 26.84/4.46 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xy,B)))). 26.84/4.46 tff('139', plain, 26.84/4.46 cartprodpairmemER = 26.84/4.46 (![X4,X6,X8,X10]: (in(kpair(X8,X10),cartprod(X4,X6)) => in(X10,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(cartprodpairmemEL, axiom, cartprodpairmemEL <=> 26.84/4.46 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xx,A)))). 26.84/4.46 tff('140', plain, 26.84/4.46 cartprodpairmemEL = 26.84/4.46 (![X4,X6,X8,X10]: (in(kpair(X8,X10),cartprod(X4,X6)) => in(X8,X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(cartprodsndin, axiom, cartprodsndin <=> 26.84/4.46 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(ksnd(Xu),B)))). 26.84/4.46 tff('141', plain, 26.84/4.46 cartprodsndin = 26.84/4.46 (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => in(ksnd(X8),X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(kpairsurjEq, axiom, kpairsurjEq <=> 26.84/4.46 (![Xu]: (iskpair(Xu) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 26.84/4.46 tff('142', plain, 26.84/4.46 kpairsurjEq = (![X4]: (iskpair(X4) => (kpair(kfst(X4),ksnd(X4)) = X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ksndpairEq, axiom, ksndpairEq <=> (![Xx,Xy]: (ksnd(kpair(Xx,Xy)) = Xy))). 26.84/4.46 tff('143', plain, ksndpairEq = (![X4,X6]: (ksnd(kpair(X4,X6)) = X6)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ksndsingleton, axiom, ksndsingleton <=> 26.84/4.46 (![Xu]: 26.84/4.46 (iskpair(Xu) => 26.84/4.46 singleton(dsetconstr(setunion(Xu),^[Xx]: (Xu = kpair(kfst(Xu),Xx))))))). 26.84/4.46 tff('144', plain, 26.84/4.46 ksndsingleton = 26.84/4.46 (![X4]: 26.84/4.46 (iskpair(X4) => 26.84/4.46 singleton(dsetconstr(setunion(X4),^[V_1]: (X4 = kpair(kfst(X4),V_1)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setukpairinjR, axiom, setukpairinjR <=> 26.84/4.46 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xy = Xu)))). 26.84/4.46 tff('145', plain, 26.84/4.46 setukpairinjR = 26.84/4.46 (![X4,X6,X8,X10]: ((kpair(X4,X6) = kpair(X8,X10)) => (X6 = X10))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setukpairinjR2, axiom, setukpairinjR2 <=> 26.84/4.46 (![Xx,Xy,Xz,Xu]: 26.84/4.46 ((setadjoin(setadjoin(Xx,emptyset), 26.84/4.46 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 26.84/4.46 setadjoin(setadjoin(Xz,emptyset), 26.84/4.46 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 26.84/4.46 (Xy = Xu)))). 26.84/4.46 tff('146', plain, 26.84/4.46 setukpairinjR2 = 26.84/4.46 (![X4,X6,X8,X10]: 26.84/4.46 ((setadjoin(setadjoin(X4,emptyset), 26.84/4.46 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 26.84/4.46 setadjoin(setadjoin(X8,emptyset), 26.84/4.46 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)),emptyset))) => 26.84/4.46 (X6 = X10))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(upairequniteq, axiom, upairequniteq <=> 26.84/4.46 (![Xx,Xy,Xz]: 26.84/4.46 ((setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xz,emptyset)) => 26.84/4.46 (Xx = Xy)))). 26.84/4.46 tff('147', plain, 26.84/4.46 upairequniteq = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 ((setadjoin(X4,setadjoin(X6,emptyset)) = setadjoin(X8,emptyset)) => 26.84/4.46 (X4 = X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setukpairinjR1, axiom, setukpairinjR1 <=> 26.84/4.46 (![Xx,Xy,Xz,Xu]: 26.84/4.46 ((setadjoin(setadjoin(Xx,emptyset), 26.84/4.46 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 26.84/4.46 setadjoin(setadjoin(Xz,emptyset), 26.84/4.46 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 26.84/4.46 ((Xz = Xu) => (Xy = Xu))))). 26.84/4.46 tff('148', plain, 26.84/4.46 setukpairinjR1 = 26.84/4.46 (![X4,X6,X8,X10]: 26.84/4.46 ((setadjoin(setadjoin(X4,emptyset), 26.84/4.46 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 26.84/4.46 setadjoin(setadjoin(X8,emptyset), 26.84/4.46 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)),emptyset))) => 26.84/4.46 ((X8 = X10) => (X6 = X10)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setukpairinjR12, axiom, setukpairinjR12 <=> 26.84/4.46 (![Xx,Xy]: 26.84/4.46 ((Xx = Xy) => 26.84/4.46 (setadjoin(setadjoin(Xx,emptyset), 26.84/4.46 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 26.84/4.46 setadjoin(setadjoin(Xx,emptyset),emptyset))))). 26.84/4.46 tff('149', plain, 26.84/4.46 setukpairinjR12 = 26.84/4.46 (![X4,X6]: 26.84/4.46 ((X4 = X6) => 26.84/4.46 (setadjoin(setadjoin(X4,emptyset), 26.84/4.46 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 26.84/4.46 setadjoin(setadjoin(X4,emptyset),emptyset)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setukpairinjR11, axiom, setukpairinjR11 <=> 26.84/4.46 (![Xx,Xy]: 26.84/4.46 ((Xx = Xy) => 26.84/4.46 (setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xx,emptyset))))). 26.84/4.46 tff('150', plain, 26.84/4.46 setukpairinjR11 = 26.84/4.46 (![X4,X6]: 26.84/4.46 ((X4 = X6) => 26.84/4.46 (setadjoin(X4,setadjoin(X6,emptyset)) = setadjoin(X4,emptyset)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setukpairinjL, axiom, setukpairinjL <=> 26.84/4.46 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xx = Xz)))). 26.84/4.46 tff('151', plain, 26.84/4.46 setukpairinjL = 26.84/4.46 (![X4,X6,X8,X10]: ((kpair(X4,X6) = kpair(X8,X10)) => (X4 = X8))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setukpairinjL2, axiom, setukpairinjL2 <=> 26.84/4.46 (![Xx,Xy,Xz,Xu]: 26.84/4.46 ((setadjoin(setadjoin(Xx,emptyset), 26.84/4.46 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 26.84/4.46 setadjoin(setadjoin(Xz,emptyset), 26.84/4.46 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 26.84/4.46 (Xx = Xz)))). 26.84/4.46 tff('152', plain, 26.84/4.46 setukpairinjL2 = 26.84/4.46 (![X4,X6,X8,X10]: 26.84/4.46 ((setadjoin(setadjoin(X4,emptyset), 26.84/4.46 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 26.84/4.46 setadjoin(setadjoin(X8,emptyset), 26.84/4.46 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)),emptyset))) => 26.84/4.46 (X4 = X8))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(cartprodfstin, axiom, cartprodfstin <=> 26.84/4.46 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(kfst(Xu),A)))). 26.84/4.46 tff('153', plain, 26.84/4.46 cartprodfstin = 26.84/4.46 (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => in(kfst(X8),X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(kfstpairEq, axiom, kfstpairEq <=> (![Xx,Xy]: (kfst(kpair(Xx,Xy)) = Xx))). 26.84/4.46 tff('154', plain, kfstpairEq = (![X4,X6]: (kfst(kpair(X4,X6)) = X4)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(theprop, axiom, theprop <=> (![X]: (singleton(X) => in(setunion(X),X)))). 26.84/4.46 tff('155', plain, theprop = (![X4]: (singleton(X4) => in(setunion(X4),X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(kfstsingleton, axiom, kfstsingleton <=> 26.84/4.46 (![Xu]: 26.84/4.46 (iskpair(Xu) => 26.84/4.46 singleton(dsetconstr(setunion(Xu),^[Xx]: in(setadjoin(Xx,emptyset),Xu)))))). 26.84/4.46 tff('156', plain, 26.84/4.46 kfstsingleton = 26.84/4.46 (![X4]: 26.84/4.46 (iskpair(X4) => 26.84/4.46 singleton(dsetconstr(setunion(X4), 26.84/4.46 ^[V_1]: in(setadjoin(V_1,emptyset),X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setukpairinjL1, axiom, setukpairinjL1 <=> 26.84/4.46 (![Xx,Xy,Xz]: 26.84/4.46 (in(setadjoin(Xz,emptyset), 26.84/4.46 setadjoin(setadjoin(Xx,emptyset), 26.84/4.46 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset))) => 26.84/4.46 (Xx = Xz)))). 26.84/4.46 tff('157', plain, 26.84/4.46 setukpairinjL1 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(setadjoin(X8,emptyset), 26.84/4.46 setadjoin(setadjoin(X4,emptyset), 26.84/4.46 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset))) => 26.84/4.46 (X4 = X8))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(singletonsuniq, axiom, singletonsuniq <=> 26.84/4.46 (![Xx,Xy]: ((setadjoin(Xx,emptyset) = setadjoin(Xy,emptyset)) => (Xx = Xy)))). 26.84/4.46 tff('158', plain, 26.84/4.46 singletonsuniq = 26.84/4.46 (![X4,X6]: 26.84/4.46 ((setadjoin(X4,emptyset) = setadjoin(X6,emptyset)) => (X4 = X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ex1I2, axiom, ex1I2 <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: 26.84/4.46 ((![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 26.84/4.46 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => ex1(A,^[Xx]: Xphi(Xx)))))). 26.84/4.46 tff('159', plain, 26.84/4.46 ex1I2 = 26.84/4.46 (![X4,X6:(($i > $o))]: 26.84/4.46 ((![X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: (in(X10,X4) => (X6(X8) => (X6(X10) => (X8 = X10))))))) => 26.84/4.46 ((?[X12]: (X6(X12) & in(X12,X4))) => ex1(X4,^[V_1]: X6(V_1))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ex1I, axiom, ex1I <=> 26.84/4.46 (![A,Xphi:(($i > $o)),Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (Xphi(Xx) => 26.84/4.46 ((![Xy]: (in(Xy,A) => (Xphi(Xy) => (Xy = Xx)))) => 26.84/4.46 ex1(A,^[Xy]: Xphi(Xy))))))). 26.84/4.46 tff('160', plain, 26.84/4.46 ex1I = 26.84/4.46 (![X4,X6:(($i > $o)),X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (X6(X8) => 26.84/4.46 ((![X10]: (in(X10,X4) => (X6(X10) => (X10 = X8)))) => 26.84/4.46 ex1(X4,^[V_1]: X6(V_1)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ex1E1, axiom, ex1E1 <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: 26.84/4.46 (ex1(A,^[Xx]: Xphi(Xx)) => (?[Xx]: (Xphi(Xx) & in(Xx,A)))))). 26.84/4.46 tff('161', plain, 26.84/4.46 ex1E1 = 26.84/4.46 (![X4,X6:(($i > $o))]: 26.84/4.46 (ex1(X4,^[V_1]: X6(V_1)) => (?[X8]: (X6(X8) & in(X8,X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(singletonprop, axiom, singletonprop <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: 26.84/4.46 ((![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 26.84/4.46 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 26.84/4.46 singleton(dsetconstr(A,^[Xx]: Xphi(Xx))))))). 26.84/4.46 tff('162', plain, 26.84/4.46 singletonprop = 26.84/4.46 (![X4,X6:(($i > $o))]: 26.84/4.46 ((![X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: (in(X10,X4) => (X6(X8) => (X6(X10) => (X8 = X10))))))) => 26.84/4.46 ((?[X12]: (X6(X12) & in(X12,X4))) => 26.84/4.46 singleton(dsetconstr(X4,^[V_1]: X6(V_1)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setunionsingleton, axiom, setunionsingleton <=> 26.84/4.46 (![Xx]: (setunion(setadjoin(Xx,emptyset)) = Xx))). 26.84/4.46 tff('163', plain, 26.84/4.46 setunionsingleton = (![X4]: (setunion(setadjoin(X4,emptyset)) = X4)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setunionsingleton2, axiom, setunionsingleton2 <=> 26.84/4.46 (![A]: subset(A,setunion(setadjoin(A,emptyset))))). 26.84/4.46 tff('164', plain, 26.84/4.46 setunionsingleton2 = (![X4]: subset(X4,setunion(setadjoin(X4,emptyset)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setunionsingleton1, axiom, setunionsingleton1 <=> 26.84/4.46 (![A]: subset(setunion(setadjoin(A,emptyset)),A))). 26.84/4.46 tff('165', plain, 26.84/4.46 setunionsingleton1 = (![X4]: subset(setunion(setadjoin(X4,emptyset)),X4)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setunionE2, axiom, setunionE2 <=> 26.84/4.46 (![A,Xx]: (in(Xx,setunion(A)) => (?[X]: (in(Xx,X) & in(X,A)))))). 26.84/4.46 tff('166', plain, 26.84/4.46 setunionE2 = 26.84/4.46 (![X4,X6]: (in(X6,setunion(X4)) => (?[X8]: (in(X6,X8) & in(X8,X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(cartprodmempair, axiom, cartprodmempair <=> 26.84/4.46 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => iskpair(Xu)))). 26.84/4.46 tff('167', plain, 26.84/4.46 cartprodmempair = (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => iskpair(X8))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(cartprodmempair1, axiom, cartprodmempair1 <=> 26.84/4.46 (![A,B,Xu]: 26.84/4.46 (in(Xu,cartprod(A,B)) => 26.84/4.46 (?[Xx]: ((?[Xy]: ((Xu = kpair(Xx,Xy)) & in(Xy,B))) & in(Xx,A)))))). 26.84/4.46 tff('168', plain, 26.84/4.46 cartprodmempair1 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,cartprod(X4,X6)) => 26.84/4.46 (?[X10]: 26.84/4.46 ((?[X12]: ((X8 = kpair(X10,X12)) & in(X12,X6))) & in(X10,X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(cartprodpairin, axiom, cartprodpairin <=> 26.84/4.46 (![A,B,Xx]: 26.84/4.46 (in(Xx,A) => (![Xy]: (in(Xy,B) => in(kpair(Xx,Xy),cartprod(A,B))))))). 26.84/4.46 tff('169', plain, 26.84/4.46 cartprodpairin = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: (in(X10,X6) => in(kpair(X8,X10),cartprod(X4,X6)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ubforcartprodlem3, axiom, ubforcartprodlem3 <=> 26.84/4.46 (![A,B,Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => in(kpair(Xx,Xy),powerset(powerset(binunion(A,B))))))))). 26.84/4.46 tff('170', plain, 26.84/4.46 ubforcartprodlem3 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X6) => 26.84/4.46 in(kpair(X8,X10),powerset(powerset(binunion(X4,X6)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ubforcartprodlem2, axiom, ubforcartprodlem2 <=> 26.84/4.46 (![A,B,Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => 26.84/4.46 in(setadjoin(setadjoin(Xx,emptyset), 26.84/4.46 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 26.84/4.46 emptyset)), 26.84/4.46 powerset(powerset(binunion(A,B))))))))). 26.84/4.46 tff('171', plain, 26.84/4.46 ubforcartprodlem2 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X6) => 26.84/4.46 in(setadjoin(setadjoin(X8,emptyset), 26.84/4.46 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)), 26.84/4.46 emptyset)), 26.84/4.46 powerset(powerset(binunion(X4,X6)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(ubforcartprodlem1, axiom, ubforcartprodlem1 <=> 26.84/4.46 (![A,B,Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => 26.84/4.46 subset(setadjoin(setadjoin(Xx,emptyset), 26.84/4.46 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 26.84/4.46 emptyset)), 26.84/4.46 powerset(binunion(A,B)))))))). 26.84/4.46 tff('172', plain, 26.84/4.46 ubforcartprodlem1 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X6) => 26.84/4.46 subset(setadjoin(setadjoin(X8,emptyset), 26.84/4.46 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)), 26.84/4.46 emptyset)), 26.84/4.46 powerset(binunion(X4,X6))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(upairinpowunion, axiom, upairinpowunion <=> 26.84/4.46 (![A,B,Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => 26.84/4.46 in(setadjoin(Xx,setadjoin(Xy,emptyset)),powerset(binunion(A,B)))))))). 26.84/4.46 tff('173', plain, 26.84/4.46 upairinpowunion = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X6) => 26.84/4.46 in(setadjoin(X8,setadjoin(X10,emptyset)), 26.84/4.46 powerset(binunion(X4,X6))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(upairsubunion, axiom, upairsubunion <=> 26.84/4.46 (![A,B,Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: 26.84/4.46 (in(Xy,B) => 26.84/4.46 subset(setadjoin(Xx,setadjoin(Xy,emptyset)),binunion(A,B))))))). 26.84/4.46 tff('174', plain, 26.84/4.46 upairsubunion = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,X4) => 26.84/4.46 (![X10]: 26.84/4.46 (in(X10,X6) => 26.84/4.46 subset(setadjoin(X8,setadjoin(X10,emptyset)),binunion(X4,X6)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(upairset2E, axiom, upairset2E <=> 26.84/4.46 (![Xx,Xy,Xz]: 26.84/4.46 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xx) | (Xz = Xy))))). 26.84/4.46 tff('175', plain, 26.84/4.46 upairset2E = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,setadjoin(X4,setadjoin(X6,emptyset))) => 26.84/4.46 ((X8 = X4) | (X8 = X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(singletoninpowunion, axiom, singletoninpowunion <=> 26.84/4.46 (![A,B,Xx]: 26.84/4.46 (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(binunion(A,B)))))). 26.84/4.46 tff('176', plain, 26.84/4.46 singletoninpowunion = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,X4) => in(setadjoin(X8,emptyset),powerset(binunion(X4,X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(singletoninpowerset, axiom, singletoninpowerset <=> 26.84/4.46 (![A,Xx]: (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(A))))). 26.84/4.46 tff('177', plain, 26.84/4.46 singletoninpowerset = 26.84/4.46 (![X4,X6]: (in(X6,X4) => in(setadjoin(X6,emptyset),powerset(X4)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(singletonsubset, axiom, singletonsubset <=> 26.84/4.46 (![A,Xx]: (in(Xx,A) => subset(setadjoin(Xx,emptyset),A)))). 26.84/4.46 tff('178', plain, 26.84/4.46 singletonsubset = 26.84/4.46 (![X4,X6]: (in(X6,X4) => subset(setadjoin(X6,emptyset),X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(kpairp, axiom, kpairp <=> (![Xx,Xy]: iskpair(kpair(Xx,Xy)))). 26.84/4.46 tff('179', plain, kpairp = (![X4,X6]: iskpair(kpair(X4,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(kpairiskpair, axiom, kpairiskpair <=> 26.84/4.46 (![Xx,Xy]: 26.84/4.46 iskpair(setadjoin(setadjoin(Xx,emptyset), 26.84/4.46 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 26.84/4.46 emptyset))))). 26.84/4.46 tff('180', plain, 26.84/4.46 kpairiskpair = 26.84/4.46 (![X4,X6]: 26.84/4.46 iskpair(setadjoin(setadjoin(X4,emptyset), 26.84/4.46 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)), 26.84/4.46 emptyset)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setukpairIR, axiom, setukpairIR <=> 26.84/4.46 (![Xx,Xy]: 26.84/4.46 in(Xy, 26.84/4.46 setunion(setadjoin(setadjoin(Xx,emptyset), 26.84/4.46 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 26.84/4.46 emptyset)))))). 26.84/4.46 tff('181', plain, 26.84/4.46 setukpairIR = 26.84/4.46 (![X4,X6]: 26.84/4.46 in(X6, 26.84/4.46 setunion(setadjoin(setadjoin(X4,emptyset), 26.84/4.46 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)), 26.84/4.46 emptyset))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setukpairIL, axiom, setukpairIL <=> 26.84/4.46 (![Xx,Xy]: 26.84/4.46 in(Xx, 26.84/4.46 setunion(setadjoin(setadjoin(Xx,emptyset), 26.84/4.46 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 26.84/4.46 emptyset)))))). 26.84/4.46 tff('182', plain, 26.84/4.46 setukpairIL = 26.84/4.46 (![X4,X6]: 26.84/4.46 in(X4, 26.84/4.46 setunion(setadjoin(setadjoin(X4,emptyset), 26.84/4.46 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)), 26.84/4.46 emptyset))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(secondinupair, axiom, secondinupair <=> 26.84/4.46 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 26.84/4.46 tff('183', plain, 26.84/4.46 secondinupair = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(symdiffIneg2, axiom, symdiffIneg2 <=> 26.84/4.46 (![A,B,Xx]: ((~in(Xx,A)) => ((~in(Xx,B)) => (~in(Xx,symdiff(A,B))))))). 26.84/4.46 tff('184', plain, 26.84/4.46 symdiffIneg2 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 ((~in(X8,X4)) => ((~in(X8,X6)) => (~in(X8,symdiff(X4,X6)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(symdiffIneg1, axiom, symdiffIneg1 <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => (~in(Xx,symdiff(A,B))))))). 26.84/4.46 tff('185', plain, 26.84/4.46 symdiffIneg1 = 26.84/4.46 (![X4,X6,X8]: (in(X8,X4) => (in(X8,X6) => (~in(X8,symdiff(X4,X6)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(symdiffI2, axiom, symdiffI2 <=> 26.84/4.46 (![A,B,Xx]: ((~in(Xx,A)) => (in(Xx,B) => in(Xx,symdiff(A,B)))))). 26.84/4.46 tff('186', plain, 26.84/4.46 symdiffI2 = 26.84/4.46 (![X4,X6,X8]: ((~in(X8,X4)) => (in(X8,X6) => in(X8,symdiff(X4,X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(symdiffI1, axiom, symdiffI1 <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,symdiff(A,B)))))). 26.84/4.46 tff('187', plain, 26.84/4.46 symdiffI1 = 26.84/4.46 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => in(X8,symdiff(X4,X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(symdiffE, axiom, symdiffE <=> 26.84/4.46 (![A,B,Xx]: 26.84/4.46 (in(Xx,symdiff(A,B)) => 26.84/4.46 (![Xphi:$o]: 26.84/4.46 ((in(Xx,A) => ((~in(Xx,B)) => Xphi)) => 26.84/4.46 (((~in(Xx,A)) => (in(Xx,B) => Xphi)) => Xphi)))))). 26.84/4.46 tff('188', plain, 26.84/4.46 symdiffE = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,symdiff(X4,X6)) => 26.84/4.46 (![X10:$o]: 26.84/4.46 ((in(X8,X4) => ((~in(X8,X6)) => X10)) => 26.84/4.46 (((~in(X8,X4)) => (in(X8,X6) => X10)) => X10))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setminusSubset1, axiom, setminusSubset1 <=> 26.84/4.46 (![A,B]: ((setminus(A,B) = emptyset) => subset(A,B)))). 26.84/4.46 tff('189', plain, 26.84/4.46 setminusSubset1 = 26.84/4.46 (![X4,X6]: ((setminus(X4,X6) = emptyset) => subset(X4,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setminusLsub, axiom, setminusLsub <=> (![A,B]: subset(setminus(A,B),A))). 26.84/4.46 tff('190', plain, setminusLsub = (![X4,X6]: subset(setminus(X4,X6),X4)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setminusIRneg, axiom, setminusIRneg <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,B) => (~in(Xx,setminus(A,B)))))). 26.84/4.46 tff('191', plain, 26.84/4.46 setminusIRneg = (![X4,X6,X8]: (in(X8,X6) => (~in(X8,setminus(X4,X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setminusILneg, axiom, setminusILneg <=> 26.84/4.46 (![A,B,Xx]: ((~in(Xx,A)) => (~in(Xx,setminus(A,B)))))). 26.84/4.46 tff('192', plain, 26.84/4.46 setminusILneg = 26.84/4.46 (![X4,X6,X8]: ((~in(X8,X4)) => (~in(X8,setminus(X4,X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setminusELneg, axiom, setminusELneg <=> 26.84/4.46 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => ((~in(Xx,B)) => (~in(Xx,A)))))). 26.84/4.46 tff('193', plain, 26.84/4.46 setminusELneg = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 ((~in(X8,setminus(X4,X6))) => ((~in(X8,X6)) => (~in(X8,X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setminusERneg, axiom, setminusERneg <=> 26.84/4.46 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => (in(Xx,A) => in(Xx,B))))). 26.84/4.46 tff('194', plain, 26.84/4.46 setminusERneg = 26.84/4.46 (![X4,X6,X8]: ((~in(X8,setminus(X4,X6))) => (in(X8,X4) => in(X8,X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setminusSubset2, axiom, setminusSubset2 <=> 26.84/4.46 (![A,B]: (subset(A,B) => (setminus(A,B) = emptyset)))). 26.84/4.46 tff('195', plain, 26.84/4.46 setminusSubset2 = 26.84/4.46 (![X4,X6]: (subset(X4,X6) => (setminus(X4,X6) = emptyset))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setminusER, axiom, setminusER <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B))))). 26.84/4.46 tff('196', plain, 26.84/4.46 setminusER = (![X4,X6,X8]: (in(X8,setminus(X4,X6)) => (~in(X8,X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setminusEL, axiom, setminusEL <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,setminus(A,B)) => in(Xx,A)))). 26.84/4.46 tff('197', plain, 26.84/4.46 setminusEL = (![X4,X6,X8]: (in(X8,setminus(X4,X6)) => in(X8,X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setminusI, axiom, setminusI <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,setminus(A,B)))))). 26.84/4.46 tff('198', plain, 26.84/4.46 setminusI = 26.84/4.46 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => in(X8,setminus(X4,X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(bs114d, axiom, bs114d <=> 26.84/4.46 (![A,B,C]: 26.84/4.46 (binintersect(A,binunion(B,C)) = 26.84/4.46 binunion(binintersect(A,B),binintersect(A,C))))). 26.84/4.46 tff('199', plain, 26.84/4.46 bs114d = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (binintersect(X4,binunion(X6,X8)) = 26.84/4.46 binunion(binintersect(X4,X6),binintersect(X4,X8)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectSubset1, axiom, binintersectSubset1 <=> 26.84/4.46 (![A,B]: ((binintersect(A,B) = A) => subset(A,B)))). 26.84/4.46 tff('200', plain, 26.84/4.46 binintersectSubset1 = 26.84/4.46 (![X4,X6]: ((binintersect(X4,X6) = X4) => subset(X4,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectSubset4, axiom, binintersectSubset4 <=> 26.84/4.46 (![A,B]: (subset(B,A) => (binintersect(A,B) = B)))). 26.84/4.46 tff('201', plain, 26.84/4.46 binintersectSubset4 = 26.84/4.46 (![X4,X6]: (subset(X6,X4) => (binintersect(X4,X6) = X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectRsub, axiom, binintersectRsub <=> 26.84/4.46 (![A,B]: subset(binintersect(A,B),B))). 26.84/4.46 tff('202', plain, 26.84/4.46 binintersectRsub = (![X4,X6]: subset(binintersect(X4,X6),X6)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(disjointsetsI1, axiom, disjointsetsI1 <=> 26.84/4.46 (![A,B]: 26.84/4.46 ((~(?[Xx]: (in(Xx,B) & in(Xx,A)))) => (binintersect(A,B) = emptyset)))). 26.84/4.46 tff('203', plain, 26.84/4.46 disjointsetsI1 = 26.84/4.46 (![X4,X6]: 26.84/4.46 ((~(?[X8]: (in(X8,X6) & in(X8,X4)))) => 26.84/4.46 (binintersect(X4,X6) = emptyset))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectER, axiom, binintersectER <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,B)))). 26.84/4.46 tff('204', plain, 26.84/4.46 binintersectER = (![X4,X6,X8]: (in(X8,binintersect(X4,X6)) => in(X8,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectSubset3, axiom, binintersectSubset3 <=> 26.84/4.46 (![A,B]: ((binintersect(A,B) = B) => subset(B,A)))). 26.84/4.46 tff('205', plain, 26.84/4.46 binintersectSubset3 = 26.84/4.46 (![X4,X6]: ((binintersect(X4,X6) = X6) => subset(X6,X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectSubset2, axiom, binintersectSubset2 <=> 26.84/4.46 (![A,B]: (subset(A,B) => (binintersect(A,B) = A)))). 26.84/4.46 tff('206', plain, 26.84/4.46 binintersectSubset2 = 26.84/4.46 (![X4,X6]: (subset(X4,X6) => (binintersect(X4,X6) = X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectLsub, axiom, binintersectLsub <=> 26.84/4.46 (![A,B]: subset(binintersect(A,B),A))). 26.84/4.46 tff('207', plain, 26.84/4.46 binintersectLsub = (![X4,X6]: subset(binintersect(X4,X6),X4)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectEL, axiom, binintersectEL <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,A)))). 26.84/4.46 tff('208', plain, 26.84/4.46 binintersectEL = (![X4,X6,X8]: (in(X8,binintersect(X4,X6)) => in(X8,X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectSubset5, axiom, binintersectSubset5 <=> 26.84/4.46 (![A,B,C]: (subset(C,A) => (subset(C,B) => subset(C,binintersect(A,B)))))). 26.84/4.46 tff('209', plain, 26.84/4.46 binintersectSubset5 = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (subset(X8,X4) => (subset(X8,X6) => subset(X8,binintersect(X4,X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binintersectI, axiom, binintersectI <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => in(Xx,binintersect(A,B)))))). 26.84/4.46 tff('210', plain, 26.84/4.46 binintersectI = 26.84/4.46 (![X4,X6,X8]: (in(X8,X4) => (in(X8,X6) => in(X8,binintersect(X4,X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binunionRsub, axiom, binunionRsub <=> (![A,B]: subset(B,binunion(A,B)))). 26.84/4.46 tff('211', plain, binunionRsub = (![X4,X6]: subset(X6,binunion(X4,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binunionLsub, axiom, binunionLsub <=> (![A,B]: subset(A,binunion(A,B)))). 26.84/4.46 tff('212', plain, binunionLsub = (![X4,X6]: subset(X4,binunion(X4,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binunionE, axiom, binunionE <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,binunion(A,B)) => (in(Xx,A) | in(Xx,B))))). 26.84/4.46 tff('213', plain, 26.84/4.46 binunionE = 26.84/4.46 (![X4,X6,X8]: (in(X8,binunion(X4,X6)) => (in(X8,X4) | in(X8,X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binunionEcases, axiom, binunionEcases <=> 26.84/4.46 (![A,B,Xx,Xphi:$o]: 26.84/4.46 (in(Xx,binunion(A,B)) => 26.84/4.46 ((in(Xx,A) => Xphi) => ((in(Xx,B) => Xphi) => Xphi))))). 26.84/4.46 tff('214', plain, 26.84/4.46 binunionEcases = 26.84/4.46 (![X4,X6,X8,X10:$o]: 26.84/4.46 (in(X8,binunion(X4,X6)) => 26.84/4.46 ((in(X8,X4) => X10) => ((in(X8,X6) => X10) => X10)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binunionIR, axiom, binunionIR <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,B) => in(Xx,binunion(A,B))))). 26.84/4.46 tff('215', plain, 26.84/4.46 binunionIR = (![X4,X6,X8]: (in(X8,X6) => in(X8,binunion(X4,X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(upairset2IR, axiom, upairset2IR <=> 26.84/4.46 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 26.84/4.46 tff('216', plain, 26.84/4.46 upairset2IR = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(binunionIL, axiom, binunionIL <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,A) => in(Xx,binunion(A,B))))). 26.84/4.46 tff('217', plain, 26.84/4.46 binunionIL = (![X4,X6,X8]: (in(X8,X4) => in(X8,binunion(X4,X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(sepSubset, axiom, sepSubset <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: subset(dsetconstr(A,^[Xx]: Xphi(Xx)),A))). 26.84/4.46 tff('218', plain, 26.84/4.46 sepSubset = 26.84/4.46 (![X4,X6:(($i > $o))]: subset(dsetconstr(X4,^[V_1]: X6(V_1)),X4)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(sepInPowerset, axiom, sepInPowerset <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: in(dsetconstr(A,^[Xx]: Xphi(Xx)),powerset(A)))). 26.84/4.46 tff('219', plain, 26.84/4.46 sepInPowerset = 26.84/4.46 (![X4,X6:(($i > $o))]: in(dsetconstr(X4,^[V_1]: X6(V_1)),powerset(X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(powersetsubset, axiom, powersetsubset <=> 26.84/4.46 (![A,B]: (subset(A,B) => subset(powerset(A),powerset(B))))). 26.84/4.46 tff('220', plain, 26.84/4.46 powersetsubset = 26.84/4.46 (![X4,X6]: (subset(X4,X6) => subset(powerset(X4),powerset(X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(inPowerset, axiom, inPowerset <=> (![A]: in(A,powerset(A)))). 26.84/4.46 tff('221', plain, inPowerset = (![X4]: in(X4,powerset(X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(powersetE1, axiom, powersetE1 <=> 26.84/4.46 (![A,B]: (in(B,powerset(A)) => subset(B,A)))). 26.84/4.46 tff('222', plain, 26.84/4.46 powersetE1 = (![X4,X6]: (in(X6,powerset(X4)) => subset(X6,X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(powersetI1, axiom, powersetI1 <=> 26.84/4.46 (![A,B]: (subset(B,A) => in(B,powerset(A))))). 26.84/4.46 tff('223', plain, 26.84/4.46 powersetI1 = (![X4,X6]: (subset(X6,X4) => in(X6,powerset(X4)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(subsetemptysetimpeq, axiom, subsetemptysetimpeq <=> 26.84/4.46 (![A]: (subset(A,emptyset) => (A = emptyset)))). 26.84/4.46 tff('224', plain, 26.84/4.46 subsetemptysetimpeq = (![X4]: (subset(X4,emptyset) => (X4 = emptyset))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setextsub, axiom, setextsub <=> 26.84/4.46 (![A,B]: (subset(A,B) => (subset(B,A) => (A = B))))). 26.84/4.46 tff('225', plain, 26.84/4.46 setextsub = (![X4,X6]: (subset(X4,X6) => (subset(X6,X4) => (X4 = X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(subset2powerset, axiom, subset2powerset <=> 26.84/4.46 (![A,B]: (subset(A,B) => in(A,powerset(B))))). 26.84/4.46 tff('226', plain, 26.84/4.46 subset2powerset = (![X4,X6]: (subset(X4,X6) => in(X4,powerset(X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setadjoinSub2, axiom, setadjoinSub2 <=> 26.84/4.46 (![A,Xx,B]: (subset(A,B) => subset(A,setadjoin(Xx,B))))). 26.84/4.46 tff('227', plain, 26.84/4.46 setadjoinSub2 = 26.84/4.46 (![X4,X6,X8]: (subset(X4,X8) => subset(X4,setadjoin(X6,X8)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setadjoinSub, axiom, setadjoinSub <=> 26.84/4.46 (![Xx,A]: subset(A,setadjoin(Xx,A)))). 26.84/4.46 tff('228', plain, setadjoinSub = (![X4,X6]: subset(X6,setadjoin(X4,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(subsetTrans, axiom, subsetTrans <=> 26.84/4.46 (![A,B,C]: (subset(A,B) => (subset(B,C) => subset(A,C))))). 26.84/4.46 tff('229', plain, 26.84/4.46 subsetTrans = 26.84/4.46 (![X4,X6,X8]: (subset(X4,X6) => (subset(X6,X8) => subset(X4,X8)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(subsetRefl, axiom, subsetRefl <=> (![A]: subset(A,A))). 26.84/4.46 tff('230', plain, subsetRefl = (![X4]: subset(X4,X4)), define([status(thm)])). 26.84/4.46 tff(notequalI2, axiom, notequalI2 <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (A != B))))). 26.84/4.46 tff('231', plain, 26.84/4.46 notequalI2 = (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => (X4 != X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(notequalI1, axiom, notequalI1 <=> (![A,B]: ((~subset(A,B)) => (A != B)))). 26.84/4.46 tff('232', plain, notequalI1 = (![X4,X6]: ((~subset(X4,X6)) => (X4 != X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(notsubsetI, axiom, notsubsetI <=> 26.84/4.46 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (~subset(A,B)))))). 26.84/4.46 tff('233', plain, 26.84/4.46 notsubsetI = 26.84/4.46 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => (~subset(X4,X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(subsetE2, axiom, subsetE2 <=> 26.84/4.46 (![A,B,Xx]: (subset(A,B) => ((~in(Xx,B)) => (~in(Xx,A)))))). 26.84/4.46 tff('234', plain, 26.84/4.46 subsetE2 = 26.84/4.46 (![X4,X6,X8]: (subset(X4,X6) => ((~in(X8,X6)) => (~in(X8,X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(subsetE, axiom, subsetE <=> 26.84/4.46 (![A,B,Xx]: (subset(A,B) => (in(Xx,A) => in(Xx,B))))). 26.84/4.46 tff('235', plain, 26.84/4.46 subsetE = (![X4,X6,X8]: (subset(X4,X6) => (in(X8,X4) => in(X8,X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(emptysetsubset, axiom, emptysetsubset <=> (![A]: subset(emptyset,A))). 26.84/4.46 tff('236', plain, emptysetsubset = (![X4]: subset(emptyset,X4)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(subsetI2, axiom, subsetI2 <=> 26.84/4.46 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 26.84/4.46 tff('237', plain, 26.84/4.46 subsetI2 = 26.84/4.46 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(eqimpsubset1, axiom, eqimpsubset1 <=> (![A,B]: ((A = B) => subset(A,B)))). 26.84/4.46 tff('238', plain, eqimpsubset1 = (![X4,X6]: ((X4 = X6) => subset(X4,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(eqimpsubset2, axiom, eqimpsubset2 <=> (![A,B]: ((A = B) => subset(B,A)))). 26.84/4.46 tff('239', plain, eqimpsubset2 = (![X4,X6]: ((X4 = X6) => subset(X6,X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(subsetI1, axiom, subsetI1 <=> 26.84/4.46 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 26.84/4.46 tff('240', plain, 26.84/4.46 subsetI1 = 26.84/4.46 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(dsetconstr__Cong, axiom, dsetconstr__Cong <=> 26.84/4.46 (![A,B]: 26.84/4.46 ((A = B) => 26.84/4.46 (![Xphi:(($i > $o)),Xpsi:(($i > $o))]: 26.84/4.46 ((![Xx]: 26.84/4.46 (in(Xx,A) => 26.84/4.46 (![Xy]: (in(Xy,B) => ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy))))))) => 26.84/4.46 (dsetconstr(A,^[Xx]: Xphi(Xx)) = dsetconstr(B,^[Xx]: Xpsi(Xx)))))))). 26.84/4.46 tff('241', plain, 26.84/4.46 dsetconstr__Cong = 26.84/4.46 (![X4,X6]: 26.84/4.46 ((X4 = X6) => 26.84/4.46 (![X8:(($i > $o)),X10:(($i > $o))]: 26.84/4.46 ((![X12]: 26.84/4.46 (in(X12,X4) => 26.84/4.46 (![X14]: 26.84/4.46 (in(X14,X6) => ((X12 = X14) => (X8(X12) <=> X10(X14))))))) => 26.84/4.46 (dsetconstr(X4,^[V_1]: X8(V_1)) = dsetconstr(X6,^[V_2]: X10(V_2))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(descr__Cong, axiom, descr__Cong <=> 26.84/4.46 (![Xphi:(($i > $o)),Xpsi:(($i > $o))]: 26.84/4.46 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 26.84/4.46 (exu(^[Xx]: Xphi(Xx)) => 26.84/4.46 (exu(^[Xx]: Xpsi(Xx)) => 26.84/4.46 (descr(^[Xx]: Xphi(Xx)) = descr(^[Xx]: Xpsi(Xx)))))))). 26.84/4.46 tff('242', plain, 26.84/4.46 descr__Cong = 26.84/4.46 (![X4:(($i > $o)),X6:(($i > $o))]: 26.84/4.46 ((![X8,X10]: ((X8 = X10) => (X4(X8) <=> X6(X10)))) => 26.84/4.46 (exu(^[V_1]: X4(V_1)) => 26.84/4.46 (exu(^[V_2]: X6(V_2)) => 26.84/4.46 (descr(^[V_3]: X4(V_3)) = descr(^[V_4]: X6(V_4))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(exuEu, axiom, exuEu <=> 26.84/4.46 (![Xphi:(($i > $o))]: 26.84/4.46 (exu(^[Xx]: Xphi(Xx)) => 26.84/4.46 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 26.84/4.46 tff('243', plain, 26.84/4.46 exuEu = 26.84/4.46 (![X4:(($i > $o))]: 26.84/4.46 (exu(^[V_1]: X4(V_1)) => (![X6,X8]: (X4(X6) => (X4(X8) => (X6 = X8)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(omega__Cong, axiom, omega__Cong <=> (omega = omega)). 26.84/4.46 tff('244', plain, omega__Cong = (omega = omega), define([status(thm)])). 26.84/4.46 tff(setunion__Cong, axiom, setunion__Cong <=> 26.84/4.46 (![A,B]: ((A = B) => (setunion(A) = setunion(B))))). 26.84/4.46 tff('245', plain, 26.84/4.46 setunion__Cong = (![X4,X6]: ((X4 = X6) => (setunion(X4) = setunion(X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(powerset__Cong, axiom, powerset__Cong <=> 26.84/4.46 (![A,B]: ((A = B) => (powerset(A) = powerset(B))))). 26.84/4.46 tff('246', plain, 26.84/4.46 powerset__Cong = (![X4,X6]: ((X4 = X6) => (powerset(X4) = powerset(X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setadjoin__Cong, axiom, setadjoin__Cong <=> 26.84/4.46 (![Xx,Xy]: 26.84/4.46 ((Xx = Xy) => 26.84/4.46 (![Xz,Xu]: ((Xz = Xu) => (setadjoin(Xx,Xz) = setadjoin(Xy,Xu))))))). 26.84/4.46 tff('247', plain, 26.84/4.46 setadjoin__Cong = 26.84/4.46 (![X4,X6]: 26.84/4.46 ((X4 = X6) => 26.84/4.46 (![X8,X10]: ((X8 = X10) => (setadjoin(X4,X8) = setadjoin(X6,X10)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(emptyset__Cong, axiom, emptyset__Cong <=> (emptyset = emptyset)). 26.84/4.46 tff('248', plain, emptyset__Cong = (emptyset = emptyset), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(exu__Cong, axiom, exu__Cong <=> 26.84/4.46 (![Xphi:(($i > $o)),Xpsi:(($i > $o))]: 26.84/4.46 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 26.84/4.46 (exu(^[Xx]: Xphi(Xx)) <=> exu(^[Xx]: Xpsi(Xx)))))). 26.84/4.46 tff('249', plain, 26.84/4.46 exu__Cong = 26.84/4.46 (![X4:(($i > $o)),X6:(($i > $o))]: 26.84/4.46 ((![X8,X10]: ((X8 = X10) => (X4(X8) <=> X6(X10)))) => 26.84/4.46 (exu(^[V_1]: X4(V_1)) <=> exu(^[V_2]: X6(V_2))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(exuE3u, axiom, exuE3u <=> 26.84/4.46 (![Xphi:(($i > $o))]: 26.84/4.46 (exu(^[Xx]: Xphi(Xx)) => 26.84/4.46 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 26.84/4.46 tff('250', plain, 26.84/4.46 exuE3u = 26.84/4.46 (![X4:(($i > $o))]: 26.84/4.46 (exu(^[V_1]: X4(V_1)) => (![X6,X8]: (X4(X6) => (X4(X8) => (X6 = X8)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(in__Cong, axiom, in__Cong <=> 26.84/4.46 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) <=> in(Xy,B))))))). 26.84/4.46 tff('251', plain, 26.84/4.46 in__Cong = 26.84/4.46 (![X4,X6]: 26.84/4.46 ((X4 = X6) => (![X8,X10]: ((X8 = X10) => (in(X8,X4) <=> in(X10,X6)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(inCongP, axiom, inCongP <=> 26.84/4.46 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) => in(Xy,B))))))). 26.84/4.46 tff('252', plain, 26.84/4.46 inCongP = 26.84/4.46 (![X4,X6]: 26.84/4.46 ((X4 = X6) => (![X8,X10]: ((X8 = X10) => (in(X8,X4) => in(X10,X6)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(exuI2, axiom, exuI2 <=> 26.84/4.46 (![Xphi:(($i > $o))]: 26.84/4.46 ((?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx)))) => exu(^[Xx]: Xphi(Xx))))). 26.84/4.46 tff('253', plain, 26.84/4.46 exuI2 = 26.84/4.46 (![X4:(($i > $o))]: 26.84/4.46 ((?[X6]: (![X8]: (X4(X8) <=> (X8 = X6)))) => exu(^[V_1]: X4(V_1)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(exuI3, axiom, exuI3 <=> 26.84/4.46 (![Xphi:(($i > $o))]: 26.84/4.46 ((?[Xx]: Xphi(Xx)) => 26.84/4.46 ((![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))) => 26.84/4.46 exu(^[Xx]: Xphi(Xx)))))). 26.84/4.46 tff('254', plain, 26.84/4.46 exuI3 = 26.84/4.46 (![X4:(($i > $o))]: 26.84/4.46 ((?[X6]: X4(X6)) => 26.84/4.46 ((![X8,X10]: (X4(X8) => (X4(X10) => (X8 = X10)))) => 26.84/4.46 exu(^[V_1]: X4(V_1))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(exuI1, axiom, exuI1 <=> 26.84/4.46 (![Xphi:(($i > $o))]: 26.84/4.46 ((?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx))) => 26.84/4.46 exu(^[Xx]: Xphi(Xx))))). 26.84/4.46 tff('255', plain, 26.84/4.46 exuI1 = 26.84/4.46 (![X4:(($i > $o))]: 26.84/4.46 ((?[X6]: ((![X8]: (X4(X8) => (X6 = X8))) & X4(X6))) => 26.84/4.46 exu(^[V_1]: X4(V_1)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(notdallE, axiom, notdallE <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: 26.84/4.46 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 26.84/4.46 tff('256', plain, 26.84/4.46 notdallE = 26.84/4.46 (![X4,X6:(($i > $o))]: 26.84/4.46 ((~(![X8]: (in(X8,X4) => X6(X8)))) => 26.84/4.46 (?[X10]: ((~X6(X10)) & in(X10,X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(notdexE, axiom, notdexE <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: 26.84/4.46 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 26.84/4.46 tff('257', plain, 26.84/4.46 notdexE = 26.84/4.46 (![X4,X6:(($i > $o))]: 26.84/4.46 ((~(?[X8]: (X6(X8) & in(X8,X4)))) => 26.84/4.46 (![X10]: (in(X10,X4) => (~X6(X10)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(prop2set2propI, axiom, prop2set2propI <=> 26.84/4.46 (![Xphi:$o]: (Xphi => set2prop(prop2set(Xphi))))). 26.84/4.46 tff('258', plain, 26.84/4.46 prop2set2propI = (![X4:$o]: (X4 => set2prop(prop2set(X4)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(prop2setI, axiom, prop2setI <=> 26.84/4.46 (![Xphi:$o]: (Xphi => in(emptyset,prop2set(Xphi))))). 26.84/4.46 tff('259', plain, prop2setI = (![X4:$o]: (X4 => in(emptyset,prop2set(X4)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(quantDeMorgan4, axiom, quantDeMorgan4 <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: 26.84/4.46 ((?[Xx]: ((~Xphi(Xx)) & in(Xx,A))) => (~(![Xx]: (in(Xx,A) => Xphi(Xx))))))). 26.84/4.46 tff('260', plain, 26.84/4.46 quantDeMorgan4 = 26.84/4.46 (![X4,X6:(($i > $o))]: 26.84/4.46 ((?[X8]: ((~X6(X8)) & in(X8,X4))) => 26.84/4.46 (~(![X10]: (in(X10,X4) => X6(X10)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(quantDeMorgan3, axiom, quantDeMorgan3 <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: 26.84/4.46 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 26.84/4.46 tff('261', plain, 26.84/4.46 quantDeMorgan3 = 26.84/4.46 (![X4,X6:(($i > $o))]: 26.84/4.46 ((~(?[X8]: (X6(X8) & in(X8,X4)))) => 26.84/4.46 (![X10]: (in(X10,X4) => (~X6(X10)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(quantDeMorgan2, axiom, quantDeMorgan2 <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: 26.84/4.46 ((![Xx]: (in(Xx,A) => (~Xphi(Xx)))) => (~(?[Xx]: (Xphi(Xx) & in(Xx,A))))))). 26.84/4.46 tff('262', plain, 26.84/4.46 quantDeMorgan2 = 26.84/4.46 (![X4,X6:(($i > $o))]: 26.84/4.46 ((![X8]: (in(X8,X4) => (~X6(X8)))) => 26.84/4.46 (~(?[X10]: (X6(X10) & in(X10,X4)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(quantDeMorgan1, axiom, quantDeMorgan1 <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: 26.84/4.46 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 26.84/4.46 tff('263', plain, 26.84/4.46 quantDeMorgan1 = 26.84/4.46 (![X4,X6:(($i > $o))]: 26.84/4.46 ((~(![X8]: (in(X8,X4) => X6(X8)))) => 26.84/4.46 (?[X10]: ((~X6(X10)) & in(X10,X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(vacuousDall, axiom, vacuousDall <=> 26.84/4.46 (![Xphi:(($i > $o)),Xx]: (in(Xx,emptyset) => Xphi(Xx)))). 26.84/4.46 tff('264', plain, 26.84/4.46 vacuousDall = (![X4:(($i > $o)),X6]: (in(X6,emptyset) => X4(X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(emptyE1, axiom, emptyE1 <=> 26.84/4.46 (![A,Xphi:(($i > $o))]: 26.84/4.46 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 26.84/4.46 ((dsetconstr(A,^[Xx]: Xphi(Xx)) = emptyset) => $false)))). 26.84/4.46 tff('265', plain, 26.84/4.46 emptyE1 = 26.84/4.46 (![X4,X6:(($i > $o))]: 26.84/4.46 ((?[X8]: (X6(X8) & in(X8,X4))) => 26.84/4.46 ((dsetconstr(X4,^[V_1]: X6(V_1)) = emptyset) => $false))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(upairsetIR, axiom, upairsetIR <=> 26.84/4.46 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 26.84/4.46 tff('266', plain, 26.84/4.46 upairsetIR = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(upairsetIL, axiom, upairsetIL <=> 26.84/4.46 (![Xx,Xy]: in(Xx,setadjoin(Xx,setadjoin(Xy,emptyset))))). 26.84/4.46 tff('267', plain, 26.84/4.46 upairsetIL = (![X4,X6]: in(X4,setadjoin(X4,setadjoin(X6,emptyset)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(upairsetE, axiom, upairsetE <=> 26.84/4.46 (![Xx,Xy,Xz]: 26.84/4.46 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xx) | (Xz = Xy))))). 26.84/4.46 tff('268', plain, 26.84/4.46 upairsetE = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,setadjoin(X4,setadjoin(X6,emptyset))) => 26.84/4.46 ((X8 = X4) | (X8 = X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(singletonsswitch, axiom, singletonsswitch <=> 26.84/4.46 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => in(Xy,setadjoin(Xx,emptyset))))). 26.84/4.46 tff('269', plain, 26.84/4.46 singletonsswitch = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X4,setadjoin(X6,emptyset)) => in(X6,setadjoin(X4,emptyset)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(eqinunit, axiom, eqinunit <=> 26.84/4.46 (![Xx,Xy]: ((Xx = Xy) => in(Xx,setadjoin(Xy,emptyset))))). 26.84/4.46 tff('270', plain, 26.84/4.46 eqinunit = (![X4,X6]: ((X4 = X6) => in(X4,setadjoin(X6,emptyset)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(notinsingleton, axiom, notinsingleton <=> 26.84/4.46 (![Xx,Xy]: ((Xx != Xy) => (~in(Xy,setadjoin(Xx,emptyset)))))). 26.84/4.46 tff('271', plain, 26.84/4.46 notinsingleton = 26.84/4.46 (![X4,X6]: ((X4 != X6) => (~in(X6,setadjoin(X4,emptyset))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(uniqinunit, axiom, uniqinunit <=> 26.84/4.46 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => (Xx = Xy)))). 26.84/4.46 tff('272', plain, 26.84/4.46 uniqinunit = (![X4,X6]: (in(X4,setadjoin(X6,emptyset)) => (X4 = X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(nonemptyImpWitness, axiom, nonemptyImpWitness <=> 26.84/4.46 (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))). 26.84/4.46 tff('273', plain, 26.84/4.46 nonemptyImpWitness = (![X4]: (nonempty(X4) => (?[X6]: in(X6,X4)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(exuE2, axiom, exuE2 <=> 26.84/4.46 (![Xphi:(($i > $o))]: 26.84/4.46 (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx))))))). 26.84/4.46 tff('274', plain, 26.84/4.46 exuE2 = 26.84/4.46 (![X4:(($i > $o))]: 26.84/4.46 (exu(^[V_1]: X4(V_1)) => (?[X6]: (![X8]: (X4(X8) <=> (X8 = X6)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(subPowSU, axiom, subPowSU <=> 26.84/4.46 (![A,Xx]: (in(Xx,A) => in(Xx,powerset(setunion(A)))))). 26.84/4.46 tff('275', plain, 26.84/4.46 subPowSU = (![X4,X6]: (in(X6,X4) => in(X6,powerset(setunion(X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setunionE, axiom, setunionE <=> 26.84/4.46 (![A,Xx]: 26.84/4.46 (in(Xx,setunion(A)) => 26.84/4.46 (![Xphi:$o]: ((![B]: (in(Xx,B) => (in(B,A) => Xphi))) => Xphi))))). 26.84/4.46 tff('276', plain, 26.84/4.46 setunionE = 26.84/4.46 (![X4,X6]: 26.84/4.46 (in(X6,setunion(X4)) => 26.84/4.46 (![X8:$o]: ((![X10]: (in(X6,X10) => (in(X10,X4) => X8))) => X8)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setunionI, axiom, setunionI <=> 26.84/4.46 (![A,Xx,B]: (in(Xx,B) => (in(B,A) => in(Xx,setunion(A)))))). 26.84/4.46 tff('277', plain, 26.84/4.46 setunionI = 26.84/4.46 (![X4,X6,X8]: (in(X6,X8) => (in(X8,X4) => in(X6,setunion(X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(powersetE, axiom, powersetE <=> 26.84/4.46 (![A,B,Xx]: (in(B,powerset(A)) => (in(Xx,B) => in(Xx,A))))). 26.84/4.46 tff('278', plain, 26.84/4.46 powersetE = 26.84/4.46 (![X4,X6,X8]: (in(X6,powerset(X4)) => (in(X8,X6) => in(X8,X4)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(emptyInPowerset, axiom, emptyInPowerset <=> 26.84/4.46 (![A]: in(emptyset,powerset(A)))). 26.84/4.46 tff('279', plain, emptyInPowerset = (![X4]: in(emptyset,powerset(X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(emptyinPowerset, axiom, emptyinPowerset <=> 26.84/4.46 (![A]: in(emptyset,powerset(A)))). 26.84/4.46 tff('280', plain, emptyinPowerset = (![X4]: in(emptyset,powerset(X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(powersetI, axiom, powersetI <=> 26.84/4.46 (![A,B]: ((![Xx]: (in(Xx,B) => in(Xx,A))) => in(B,powerset(A))))). 26.84/4.46 tff('281', plain, 26.84/4.46 powersetI = 26.84/4.46 (![X4,X6]: ((![X8]: (in(X8,X6) => in(X8,X4))) => in(X6,powerset(X4)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setoftrueEq, axiom, setoftrueEq <=> 26.84/4.46 (![A]: (dsetconstr(A,^[Xx]: $true) = A))). 26.84/4.46 tff('282', plain, setoftrueEq = (![X4]: (dsetconstr(X4,^[V_1]: $true) = X4)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setadjoinOr, axiom, setadjoinOr <=> 26.84/4.46 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) => ((Xy = Xx) | in(Xy,A))))). 26.84/4.46 tff('283', plain, 26.84/4.46 setadjoinOr = 26.84/4.46 (![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) => ((X8 = X4) | in(X8,X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setadjoinE, axiom, setadjoinE <=> 26.84/4.46 (![Xx,A,Xy]: 26.84/4.46 (in(Xy,setadjoin(Xx,A)) => 26.84/4.46 (![Xphi:$o]: (((Xy = Xx) => Xphi) => ((in(Xy,A) => Xphi) => Xphi)))))). 26.84/4.46 tff('284', plain, 26.84/4.46 setadjoinE = 26.84/4.46 (![X4,X6,X8]: 26.84/4.46 (in(X8,setadjoin(X4,X6)) => 26.84/4.46 (![X10:$o]: (((X8 = X4) => X10) => ((in(X8,X6) => X10) => X10))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setadjoinIR, axiom, setadjoinIR <=> 26.84/4.46 (![Xx,A,Xy]: (in(Xy,A) => in(Xy,setadjoin(Xx,A))))). 26.84/4.46 tff('285', plain, 26.84/4.46 setadjoinIR = (![X4,X6,X8]: (in(X8,X6) => in(X8,setadjoin(X4,X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(emptyinunitempty, axiom, emptyinunitempty() = 26.84/4.46 in(emptyset,setadjoin(emptyset,emptyset))). 26.84/4.46 tff('286', plain, 26.84/4.46 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 26.84/4.46 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 26.84/4.46 tff('287', plain, 26.84/4.46 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setadjoinIL, axiom, setadjoinIL <=> (![Xx,Xy]: in(Xx,setadjoin(Xx,Xy)))). 26.84/4.46 tff('288', plain, setadjoinIL = (![X4,X6]: in(X4,setadjoin(X4,X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(nonemptyI1, axiom, nonemptyI1 <=> 26.84/4.46 (![A]: ((?[Xx]: in(Xx,A)) => nonempty(A)))). 26.84/4.46 tff('289', plain, nonemptyI1 = (![X4]: ((?[X6]: in(X6,X4)) => nonempty(X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(nonemptyI, axiom, nonemptyI <=> 26.84/4.46 (![A,Xphi:(($i > $o)),Xx]: 26.84/4.46 (in(Xx,A) => (Xphi(Xx) => nonempty(dsetconstr(A,^[Xy]: Xphi(Xy))))))). 26.84/4.46 tff('290', plain, 26.84/4.46 nonemptyI = 26.84/4.46 (![X4,X6:(($i > $o)),X8]: 26.84/4.46 (in(X8,X4) => (X6(X8) => nonempty(dsetconstr(X4,^[V_1]: X6(V_1)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(nonemptyE1, axiom, nonemptyE1 <=> 26.84/4.46 (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))). 26.84/4.46 tff('291', plain, nonemptyE1 = (![X4]: (nonempty(X4) => (?[X6]: in(X6,X4)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(nonempty, axiom, nonempty() = ^[Xx]: (Xx != emptyset)). 26.84/4.46 tff('292', plain, nonempty = (^[Xx]: (Xx != emptyset)), 26.84/4.46 inference('simplify_rw_rule', [status(thm)], [nonempty])). 26.84/4.46 tff('293', plain, nonempty = (^[V_1]: (V_1 != emptyset)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setbeta, axiom, setbeta <=> 26.84/4.46 (![A,Xphi:(($i > $o)),Xx]: 26.84/4.46 (in(Xx,A) => (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) <=> Xphi(Xx))))). 26.84/4.46 tff('294', plain, 26.84/4.46 setbeta = 26.84/4.46 (![X4,X6:(($i > $o)),X8]: 26.84/4.46 (in(X8,X4) => (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) <=> X6(X8)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(noeltsimpempty, axiom, noeltsimpempty <=> 26.84/4.46 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 26.84/4.46 tff('295', plain, 26.84/4.46 noeltsimpempty = (![X4]: ((![X6]: (~in(X6,X4))) => (X4 = emptyset))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(emptyI, axiom, emptyI <=> 26.84/4.46 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 26.84/4.46 tff('296', plain, 26.84/4.46 emptyI = (![X4]: ((![X6]: (~in(X6,X4))) => (X4 = emptyset))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setext, axiom, setext <=> 26.84/4.46 (![A,B]: 26.84/4.46 ((![Xx]: (in(Xx,A) => in(Xx,B))) => 26.84/4.46 ((![Xx]: (in(Xx,B) => in(Xx,A))) => (A = B))))). 26.84/4.46 tff('297', plain, 26.84/4.46 setext = 26.84/4.46 (![X4,X6]: 26.84/4.46 ((![X8]: (in(X8,X4) => in(X8,X6))) => 26.84/4.46 ((![X10]: (in(X10,X6) => in(X10,X4))) => (X4 = X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(exuE3e, axiom, exuE3e <=> 26.84/4.46 (![Xphi:(($i > $o))]: (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: Xphi(Xx))))). 26.84/4.46 tff('298', plain, 26.84/4.46 exuE3e = (![X4:(($i > $o))]: (exu(^[V_1]: X4(V_1)) => (?[X6]: X4(X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(notinemptyset, axiom, notinemptyset <=> (![Xx]: (~in(Xx,emptyset)))). 26.84/4.46 tff('299', plain, notinemptyset = (![X4]: (~in(X4,emptyset))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(emptysetimpfalse, axiom, emptysetimpfalse <=> 26.84/4.46 (![Xx]: (in(Xx,emptyset) => $false))). 26.84/4.46 tff('300', plain, emptysetimpfalse = (![X4]: (in(X4,emptyset) => $false)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(emptysetE, axiom, emptysetE <=> 26.84/4.46 (![Xx]: (in(Xx,emptyset) => (![Xphi:$o]: Xphi)))). 26.84/4.46 tff('301', plain, emptysetE = (![X4]: (in(X4,emptyset) => (![X6:$o]: X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(prop2setE, axiom, prop2setE <=> 26.84/4.46 (![Xphi:$o,Xx]: (in(Xx,prop2set(Xphi)) => Xphi))). 26.84/4.46 tff('302', plain, prop2setE = (![X4:$o,X6]: (in(X6,prop2set(X4)) => X4)), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(exuE1, axiom, exuE1 <=> 26.84/4.46 (![Xphi:(($i > $o))]: 26.84/4.46 (exu(^[Xx]: Xphi(Xx)) => 26.84/4.46 (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))))). 26.84/4.46 tff('303', plain, 26.84/4.46 exuE1 = 26.84/4.46 (![X4:(($i > $o))]: 26.84/4.46 (exu(^[V_1]: X4(V_1)) => 26.84/4.46 (?[X6]: ((![X8]: (X4(X8) => (X6 = X8))) & X4(X6))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(dsetconstrER, axiom, dsetconstrER <=> 26.84/4.46 (![A,Xphi:(($i > $o)),Xx]: 26.84/4.46 (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => Xphi(Xx)))). 26.84/4.46 tff('304', plain, 26.84/4.46 dsetconstrER = 26.84/4.46 (![X4,X6:(($i > $o)),X8]: 26.84/4.46 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => X6(X8))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(dsetconstrEL, axiom, dsetconstrEL <=> 26.84/4.46 (![A,Xphi:(($i > $o)),Xx]: 26.84/4.46 (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => in(Xx,A)))). 26.84/4.46 tff('305', plain, 26.84/4.46 dsetconstrEL = 26.84/4.46 (![X4,X6:(($i > $o)),X8]: 26.84/4.46 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => in(X8,X4))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(dsetconstrI, axiom, dsetconstrI <=> 26.84/4.46 (![A,Xphi:(($i > $o)),Xx]: 26.84/4.46 (in(Xx,A) => (Xphi(Xx) => in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))))))). 26.84/4.46 tff('306', plain, 26.84/4.46 dsetconstrI = 26.84/4.46 (![X4,X6:(($i > $o)),X8]: 26.84/4.46 (in(X8,X4) => (X6(X8) => in(X8,dsetconstr(X4,^[V_1]: X6(V_1)))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(descrp, axiom, descrp <=> 26.84/4.46 (![Xphi:(($i > $o))]: 26.84/4.46 (exu(^[Xx]: Xphi(Xx)) => Xphi(descr(^[Xx]: Xphi(Xx)))))). 26.84/4.46 tff('307', plain, 26.84/4.46 descrp = 26.84/4.46 (![X4:(($i > $o))]: (exu(^[V_1]: X4(V_1)) => X4(descr(^[V_2]: X4(V_2))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(wellorderingAx, axiom, wellorderingAx <=> 26.84/4.46 (![A]: 26.84/4.46 (?[B]: 26.84/4.46 ((![C]: 26.84/4.46 (((![Xx]: (in(Xx,C) => in(Xx,A))) & (?[Xx]: in(Xx,C))) => 26.84/4.46 (?[D,Xx]: 26.84/4.46 ((![E]: 26.84/4.46 (in(E,B) => ((![Xy]: (in(Xy,E) => in(Xy,D))) | in(Xx,E)))) & 26.84/4.46 (~(?[Xy]: (in(Xy,C) & in(Xy,D)))) & in(Xx,C) & in(D,B))))) & 26.84/4.46 (![C,D]: 26.84/4.46 ((in(C,B) & in(D,B)) => 26.84/4.46 ((![Xx]: (in(Xx,C) => in(Xx,D))) | 26.84/4.46 (![Xx]: (in(Xx,D) => in(Xx,C)))))) & 26.84/4.46 (![Xx,Xy]: 26.84/4.46 ((in(Xx,A) & in(Xy,A)) => 26.84/4.46 ((![C]: (in(C,B) => (in(Xx,C) <=> in(Xy,C)))) => (Xx = Xy)))) & 26.84/4.46 (![C]: (in(C,B) => (![Xx]: (in(Xx,C) => in(Xx,A))))))))). 26.84/4.46 tff('308', plain, 26.84/4.46 wellorderingAx = 26.84/4.46 (![X4]: 26.84/4.46 (?[X6]: 26.84/4.46 ((![X8]: 26.84/4.46 (((![X10]: (in(X10,X8) => in(X10,X4))) & (?[X12]: in(X12,X8))) => 26.84/4.46 (?[X14,X16]: 26.84/4.46 ((![X18]: 26.84/4.46 (in(X18,X6) => 26.84/4.46 ((![X20]: (in(X20,X18) => in(X20,X14))) | in(X16,X18)))) & 26.84/4.46 (~(?[X22]: (in(X22,X8) & in(X22,X14)))) & in(X16,X8) & 26.84/4.46 in(X14,X6))))) & 26.84/4.46 (![X24,X26]: 26.84/4.46 ((in(X24,X6) & in(X26,X6)) => 26.84/4.46 ((![X28]: (in(X28,X24) => in(X28,X26))) | 26.84/4.46 (![X30]: (in(X30,X26) => in(X30,X24)))))) & 26.84/4.46 (![X32,X34]: 26.84/4.46 ((in(X32,X4) & in(X34,X4)) => 26.84/4.46 ((![X36]: (in(X36,X6) => (in(X32,X36) <=> in(X34,X36)))) => 26.84/4.46 (X32 = X34)))) & 26.84/4.46 (![X38]: (in(X38,X6) => (![X40]: (in(X40,X38) => in(X40,X4)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(foundationAx, axiom, foundationAx <=> 26.84/4.46 (![A]: 26.84/4.46 ((?[Xx]: in(Xx,A)) => 26.84/4.46 (?[B]: ((~(?[Xx]: (in(Xx,A) & in(Xx,B)))) & in(B,A)))))). 26.84/4.46 tff('309', plain, 26.84/4.46 foundationAx = 26.84/4.46 (![X4]: 26.84/4.46 ((?[X6]: in(X6,X4)) => 26.84/4.46 (?[X8]: ((~(?[X10]: (in(X10,X4) & in(X10,X8)))) & in(X8,X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(replAx, axiom, replAx <=> 26.84/4.46 (![Xphi:(($i * $i) > $o),A]: 26.84/4.46 ((![Xx]: (in(Xx,A) => exu(^[Xy]: Xphi(Xx,Xy)))) => 26.84/4.46 (?[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: (Xphi(Xy,Xx) & in(Xy,A))))))))). 26.84/4.46 tff('310', plain, 26.84/4.46 replAx = 26.84/4.46 (![X4:(($i * $i) > $o),X6]: 26.84/4.46 ((![X8]: (in(X8,X6) => exu(^[V_1]: X4(X8,V_1)))) => 26.84/4.46 (?[X10]: 26.84/4.46 (![X12]: (in(X12,X10) <=> (?[X14]: (X4(X14,X12) & in(X14,X6)))))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(omegaIndAx, axiom, omegaIndAx <=> 26.84/4.46 (![A]: 26.84/4.46 ((in(emptyset,A) & 26.84/4.46 (![Xx]: ((in(Xx,omega) & in(Xx,A)) => in(setadjoin(Xx,Xx),A)))) => 26.84/4.46 (![Xx]: (in(Xx,omega) => in(Xx,A)))))). 26.84/4.46 tff('311', plain, 26.84/4.46 omegaIndAx = 26.84/4.46 (![X4]: 26.84/4.46 ((in(emptyset,X4) & 26.84/4.46 (![X6]: ((in(X6,omega) & in(X6,X4)) => in(setadjoin(X6,X6),X4)))) => 26.84/4.46 (![X8]: (in(X8,omega) => in(X8,X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(omegaSAx, axiom, omegaSAx <=> 26.84/4.46 (![Xx]: (in(Xx,omega) => in(setadjoin(Xx,Xx),omega)))). 26.84/4.46 tff('312', plain, 26.84/4.46 omegaSAx = (![X4]: (in(X4,omega) => in(setadjoin(X4,X4),omega))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(omega0Ax, axiom, omega0Ax() = in(emptyset,omega)). 26.84/4.46 tff('313', plain, omega0Ax = in(emptyset,omega), 26.84/4.46 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 26.84/4.46 tff('314', plain, omega0Ax = in(emptyset,omega), define([status(thm)])). 26.84/4.46 tff(setunionAx, axiom, setunionAx <=> 26.84/4.46 (![A,Xx]: (in(Xx,setunion(A)) <=> (?[B]: (in(B,A) & in(Xx,B)))))). 26.84/4.46 tff('315', plain, 26.84/4.46 setunionAx = 26.84/4.46 (![X4,X6]: (in(X6,setunion(X4)) <=> (?[X8]: (in(X8,X4) & in(X6,X8))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(powersetAx, axiom, powersetAx <=> 26.84/4.46 (![A,B]: (in(B,powerset(A)) <=> (![Xx]: (in(Xx,B) => in(Xx,A)))))). 26.84/4.46 tff('316', plain, 26.84/4.46 powersetAx = 26.84/4.46 (![X4,X6]: (in(X6,powerset(X4)) <=> (![X8]: (in(X8,X6) => in(X8,X4))))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setadjoinAx, axiom, setadjoinAx <=> 26.84/4.46 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) <=> ((Xy = Xx) | in(Xy,A))))). 26.84/4.46 tff('317', plain, 26.84/4.46 setadjoinAx = 26.84/4.46 (![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) <=> ((X8 = X4) | in(X8,X6)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(emptysetAx, axiom, emptysetAx <=> (![Xx]: (~in(Xx,emptyset)))). 26.84/4.46 tff('318', plain, emptysetAx = (![X4]: (~in(X4,emptyset))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(setextAx, axiom, setextAx <=> 26.84/4.46 (![A,B]: ((![Xx]: (in(Xx,A) <=> in(Xx,B))) => (A = B)))). 26.84/4.46 tff('319', plain, 26.84/4.46 setextAx = (![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(exu, axiom, exu() = 26.84/4.46 ^[Xphi:(($i > $o))]: (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))). 26.84/4.46 tff('320', plain, 26.84/4.46 exu = 26.84/4.46 (^[Xphi:(($i > $o))]: 26.84/4.46 (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))), 26.84/4.46 inference('simplify_rw_rule', [status(thm)], [exu])). 26.84/4.46 tff('321', plain, 26.84/4.46 exu = 26.84/4.46 (^[V_1:(($i > $o))]: (?[X4]: ((![X6]: (V_1(X6) => (X4 = X6))) & V_1(X4)))), 26.84/4.46 define([status(thm)])). 26.84/4.46 tff(injFuncInInjFuncSet, conjecture, 26.84/4.46 (setextAx => 26.84/4.46 (emptysetAx => 26.84/4.46 (setadjoinAx => 26.84/4.46 (powersetAx => 26.84/4.46 (setunionAx => 26.84/4.46 (omega0Ax => 26.84/4.46 (omegaSAx => 26.84/4.46 (omegaIndAx => 26.84/4.46 (replAx => 26.84/4.46 (foundationAx => 26.84/4.46 (wellorderingAx => 26.84/4.46 (descrp => 26.84/4.46 (dsetconstrI => 26.84/4.46 (dsetconstrEL => 26.84/4.46 (dsetconstrER => 26.84/4.46 (exuE1 => 26.84/4.46 (prop2setE => 26.84/4.46 (emptysetE => 26.84/4.46 (emptysetimpfalse => 26.84/4.46 (notinemptyset => 26.84/4.46 (exuE3e => 26.84/4.46 (setext => 26.84/4.46 (emptyI => 26.84/4.46 (noeltsimpempty => 26.84/4.46 (setbeta => 26.84/4.46 (nonemptyE1 => 26.84/4.46 (nonemptyI => 26.84/4.46 (nonemptyI1 => 26.84/4.46 (setadjoinIL => 26.84/4.46 (emptyinunitempty => 26.84/4.46 (setadjoinIR => 26.84/4.46 (setadjoinE => 26.84/4.46 (setadjoinOr => 26.84/4.46 (setoftrueEq => 26.84/4.46 (powersetI => 26.84/4.46 (emptyinPowerset => 26.84/4.46 (emptyInPowerset => 26.84/4.46 (powersetE => 26.84/4.46 (setunionI => 26.84/4.46 (setunionE => 26.84/4.46 (subPowSU => 26.84/4.46 (exuE2 => 26.84/4.46 (nonemptyImpWitness => 26.84/4.46 (uniqinunit => 26.84/4.46 (notinsingleton => 26.84/4.46 (eqinunit => 26.84/4.46 (singletonsswitch => 26.84/4.46 (upairsetE => 26.84/4.46 (upairsetIL => 26.84/4.46 (upairsetIR => 26.84/4.46 (emptyE1 => 26.84/4.46 (vacuousDall => 26.84/4.46 (quantDeMorgan1 => 26.84/4.46 (quantDeMorgan2 => 26.84/4.46 (quantDeMorgan3 => 26.84/4.46 (quantDeMorgan4 => 26.84/4.46 (prop2setI => 26.84/4.46 (prop2set2propI => 26.84/4.46 (notdexE => 26.84/4.46 (notdallE => 26.84/4.46 (exuI1 => 26.84/4.46 (exuI3 => 26.84/4.46 (exuI2 => 26.84/4.46 (inCongP => 26.84/4.46 (in__Cong => 26.84/4.46 (exuE3u => 26.84/4.46 ( 26.84/4.46 exu__Cong => 26.84/4.46 ( 26.84/4.46 emptyset__Cong => 26.84/4.46 ( 26.84/4.46 setadjoin__Cong => 26.84/4.46 ( 26.84/4.46 powerset__Cong => 26.84/4.46 ( 26.84/4.46 setunion__Cong => 26.84/4.46 ( 26.84/4.46 omega__Cong => 26.84/4.46 ( 26.84/4.46 exuEu => 26.84/4.46 ( 26.84/4.46 descr__Cong => 26.84/4.46 ( 26.84/4.46 dsetconstr__Cong => 26.84/4.46 ( 26.84/4.46 subsetI1 => 26.84/4.46 ( 26.84/4.46 eqimpsubset2 => 26.84/4.46 ( 26.84/4.46 eqimpsubset1 => 26.84/4.46 ( 26.84/4.46 subsetI2 => 26.84/4.46 ( 26.84/4.46 emptysetsubset => 26.84/4.46 ( 26.84/4.46 subsetE => 26.84/4.46 ( 26.84/4.46 subsetE2 => 26.84/4.46 ( 26.84/4.46 notsubsetI => 26.84/4.46 ( 26.84/4.46 notequalI1 => 26.84/4.46 ( 26.84/4.46 notequalI2 => 26.84/4.46 ( 26.84/4.46 subsetRefl => 26.84/4.46 ( 26.84/4.46 subsetTrans => 26.84/4.46 ( 26.84/4.46 setadjoinSub => 26.84/4.46 ( 26.84/4.46 setadjoinSub2 => 26.84/4.46 ( 26.84/4.46 subset2powerset => 26.84/4.46 ( 26.84/4.46 setextsub => 26.84/4.46 ( 26.84/4.46 subsetemptysetimpeq => 26.84/4.46 ( 26.84/4.46 powersetI1 => 26.84/4.46 ( 26.84/4.46 powersetE1 => 26.84/4.46 ( 26.84/4.46 inPowerset => 26.84/4.46 ( 26.84/4.46 powersetsubset => 26.84/4.46 ( 26.84/4.46 sepInPowerset => 26.84/4.46 ( 26.84/4.46 sepSubset => 26.84/4.46 ( 26.84/4.46 binunionIL => 26.84/4.46 ( 26.84/4.46 upairset2IR => 26.84/4.46 ( 26.84/4.46 binunionIR => 26.84/4.46 ( 26.84/4.46 binunionEcases => 26.84/4.46 ( 26.84/4.46 binunionE => 26.84/4.46 ( 26.84/4.46 binunionLsub => 26.84/4.46 ( 26.84/4.46 binunionRsub => 26.84/4.46 ( 26.84/4.46 binintersectI => 26.84/4.46 ( 26.84/4.46 binintersectSubset5 => 26.84/4.46 ( 26.84/4.46 binintersectEL => 26.84/4.46 ( 26.84/4.46 binintersectLsub => 26.84/4.46 ( 26.84/4.46 binintersectSubset2 => 26.84/4.46 ( 26.84/4.46 binintersectSubset3 => 26.84/4.46 ( 26.84/4.46 binintersectER => 26.84/4.46 ( 26.84/4.46 disjointsetsI1 => 26.84/4.46 ( 26.84/4.46 binintersectRsub => 26.84/4.46 ( 26.84/4.46 binintersectSubset4 => 26.84/4.46 ( 26.84/4.46 binintersectSubset1 => 26.84/4.46 ( 26.84/4.46 bs114d => 26.84/4.46 ( 26.84/4.46 setminusI => 26.84/4.46 ( 26.84/4.46 setminusEL => 26.84/4.46 ( 26.84/4.46 setminusER => 26.84/4.46 ( 26.84/4.46 setminusSubset2 => 26.84/4.46 ( 26.84/4.46 setminusERneg => 26.84/4.46 ( 26.84/4.46 setminusELneg => 26.84/4.46 ( 26.84/4.46 setminusILneg => 26.84/4.46 ( 26.84/4.46 setminusIRneg => 26.84/4.46 ( 26.84/4.46 setminusLsub => 26.84/4.46 ( 26.84/4.46 setminusSubset1 => 26.84/4.46 ( 26.84/4.46 symdiffE => 26.84/4.46 ( 26.84/4.46 symdiffI1 => 26.84/4.46 ( 26.84/4.46 symdiffI2 => 26.84/4.46 ( 26.84/4.46 symdiffIneg1 => 26.84/4.46 ( 26.84/4.46 symdiffIneg2 => 26.84/4.46 ( 26.84/4.46 secondinupair => 26.84/4.46 ( 26.84/4.46 setukpairIL => 26.84/4.46 ( 26.84/4.46 setukpairIR => 26.84/4.46 ( 26.84/4.46 kpairiskpair => 26.84/4.46 ( 26.84/4.46 kpairp => 26.84/4.46 ( 26.84/4.46 singletonsubset => 26.84/4.46 ( 26.84/4.46 singletoninpowerset => 26.84/4.46 ( 26.84/4.46 singletoninpowunion => 26.84/4.46 ( 26.84/4.46 upairset2E => 26.84/4.46 ( 26.84/4.46 upairsubunion => 26.84/4.46 ( 26.84/4.46 upairinpowunion => 26.84/4.46 ( 26.84/4.46 ubforcartprodlem1 => 26.84/4.46 ( 26.84/4.46 ubforcartprodlem2 => 26.84/4.46 ( 26.84/4.46 ubforcartprodlem3 => 26.84/4.46 ( 26.84/4.46 cartprodpairin => 26.84/4.46 ( 26.84/4.46 cartprodmempair1 => 26.84/4.46 ( 26.84/4.46 cartprodmempair => 26.84/4.46 ( 26.84/4.46 setunionE2 => 26.84/4.46 ( 26.84/4.46 setunionsingleton1 => 26.84/4.46 ( 26.84/4.46 setunionsingleton2 => 26.84/4.46 ( 26.84/4.46 setunionsingleton => 26.84/4.46 ( 26.84/4.46 singletonprop => 26.84/4.46 ( 26.84/4.46 ex1E1 => 26.84/4.46 ( 26.84/4.46 ex1I => 26.84/4.46 ( 26.84/4.46 ex1I2 => 26.84/4.46 ( 26.84/4.46 singletonsuniq => 26.84/4.46 ( 26.84/4.46 setukpairinjL1 => 26.84/4.46 ( 26.84/4.46 kfstsingleton => 26.84/4.46 ( 26.84/4.46 theprop => 26.84/4.46 ( 26.84/4.46 kfstpairEq => 26.84/4.46 ( 26.84/4.46 cartprodfstin => 26.84/4.46 ( 26.84/4.46 setukpairinjL2 => 26.84/4.46 ( 26.84/4.46 setukpairinjL => 26.84/4.46 ( 26.84/4.46 setukpairinjR11 => 26.84/4.46 ( 26.84/4.46 setukpairinjR12 => 26.84/4.46 ( 26.84/4.46 setukpairinjR1 => 26.84/4.46 ( 26.84/4.46 upairequniteq => 26.84/4.46 ( 26.84/4.46 setukpairinjR2 => 26.84/4.46 ( 26.84/4.46 setukpairinjR => 26.84/4.46 ( 26.84/4.46 ksndsingleton => 26.84/4.46 ( 26.84/4.46 ksndpairEq => 26.84/4.46 ( 26.84/4.46 kpairsurjEq => 26.84/4.46 ( 26.84/4.46 cartprodsndin => 26.84/4.46 ( 26.84/4.46 cartprodpairmemEL => 26.84/4.46 ( 26.84/4.46 cartprodpairmemER => 26.84/4.46 ( 26.84/4.46 cartprodmempaircEq => 26.84/4.46 ( 26.84/4.46 cartprodfstpairEq => 26.84/4.46 ( 26.84/4.46 cartprodsndpairEq => 26.84/4.46 ( 26.84/4.46 cartprodpairsurjEq => 26.84/4.46 ( 26.84/4.46 dpsetconstrI => 26.84/4.46 ( 26.84/4.46 dpsetconstrSub => 26.84/4.46 ( 26.84/4.46 setOfPairsIsBReln => 26.84/4.46 ( 26.84/4.46 dpsetconstrERa => 26.84/4.46 ( 26.84/4.46 dpsetconstrEL1 => 26.84/4.46 ( 26.84/4.46 dpsetconstrEL2 => 26.84/4.46 ( 26.84/4.46 dpsetconstrER => 26.84/4.46 ( 26.84/4.46 funcImageSingleton => 26.84/4.46 ( 26.84/4.46 apProp => 26.84/4.46 ( 26.84/4.46 app => 26.84/4.46 ( 26.84/4.46 infuncsetfunc => 26.84/4.46 ( 26.84/4.46 ap2p => 26.84/4.46 ( 26.84/4.46 funcinfuncset => 26.84/4.46 ( 26.84/4.46 lamProp => 26.84/4.46 ( 26.84/4.46 lamp => 26.84/4.46 ( 26.84/4.46 lam2p => 26.84/4.46 ( 26.84/4.46 brelnall1 => 26.84/4.46 ( 26.84/4.46 brelnall2 => 26.84/4.46 ( 26.84/4.46 ex1E2 => 26.84/4.46 ( 26.84/4.46 funcGraphProp1 => 26.84/4.46 ( 26.84/4.46 funcGraphProp3 => 26.84/4.46 ( 26.84/4.46 funcGraphProp2 => 26.84/4.46 ( 26.84/4.46 funcextLem => 26.84/4.46 ( 26.84/4.46 funcGraphProp4 => 26.84/4.46 ( 26.84/4.46 subbreln => 26.84/4.46 ( 26.84/4.46 eqbreln => 26.84/4.46 ( 26.84/4.46 funcext => 26.84/4.46 ( 26.84/4.46 funcext2 => 26.84/4.46 ( 26.84/4.46 ap2apEq1 => 26.84/4.46 ( 26.84/4.46 ap2apEq2 => 26.84/4.46 ( 26.84/4.46 beta1 => 26.84/4.46 ( 26.84/4.46 eta1 => 26.84/4.46 ( 26.84/4.46 lam2lamEq => 26.84/4.46 ( 26.84/4.46 beta2 => 26.84/4.46 ( 26.84/4.46 eta2 => 26.84/4.46 ( 26.84/4.46 iffalseProp1 => 26.84/4.46 ( 26.84/4.46 iffalseProp2 => 26.84/4.46 ( 26.84/4.46 iftrueProp1 => 26.84/4.46 ( 26.84/4.46 iftrueProp2 => 26.84/4.46 ( 26.84/4.46 ifSingleton => 26.84/4.46 ( 26.84/4.46 ifp => 26.84/4.46 ( 26.84/4.46 theeq => 26.84/4.46 ( 26.84/4.46 iftrue => 26.84/4.46 ( 26.84/4.46 iffalse => 26.84/4.46 ( 26.84/4.46 iftrueorfalse => 26.84/4.46 ( 26.84/4.46 binintersectT_lem => 26.84/4.46 ( 26.84/4.46 binunionT_lem => 26.84/4.46 ( 26.84/4.46 powersetT_lem => 26.84/4.46 ( 26.84/4.46 setminusT_lem => 26.84/4.46 ( 26.84/4.46 complementT_lem => 26.84/4.46 ( 26.84/4.46 setextT => 26.84/4.46 ( 26.84/4.46 subsetTI => 26.84/4.46 ( 26.84/4.46 powersetTI1 => 26.84/4.46 ( 26.84/4.46 powersetTE1 => 26.84/4.46 ( 26.84/4.46 complementTI1 => 26.84/4.46 ( 26.84/4.46 complementTE1 => 26.84/4.46 ( 26.84/4.46 binintersectTELcontra => 26.84/4.46 ( 26.84/4.46 binintersectTERcontra => 26.84/4.46 ( 26.84/4.46 contrasubsetT => 26.84/4.46 ( 26.84/4.46 contrasubsetT1 => 26.84/4.46 ( 26.84/4.46 contrasubsetT2 => 26.84/4.46 ( 26.84/4.46 contrasubsetT3 => 26.84/4.46 ( 26.84/4.46 doubleComplementI1 => 26.84/4.46 ( 26.84/4.46 doubleComplementE1 => 26.84/4.46 ( 26.84/4.46 doubleComplementSub1 => 26.84/4.46 ( 26.84/4.46 doubleComplementSub2 => 26.84/4.46 ( 26.84/4.46 doubleComplementEq => 26.84/4.46 ( 26.84/4.46 complementTnotintersectT => 26.84/4.46 ( 26.84/4.46 complementImpComplementIntersect => 26.84/4.46 ( 26.84/4.46 complementSubsetComplementIntersect => 26.84/4.46 ( 26.84/4.46 complementInPowersetComplementIntersect => 26.84/4.46 ( 26.84/4.46 contraSubsetComplement => 26.84/4.46 ( 26.84/4.46 complementTcontraSubset => 26.84/4.46 ( 26.84/4.46 binunionTILcontra => 26.84/4.46 ( 26.84/4.46 binunionTIRcontra => 26.84/4.46 ( 26.84/4.46 inIntersectImpInUnion => 26.84/4.46 ( 26.84/4.46 inIntersectImpInUnion2 => 26.84/4.46 ( 26.84/4.46 inIntersectImpInIntersectUnions => 26.84/4.46 ( 26.84/4.46 intersectInPowersetIntersectUnions => 26.84/4.46 ( 26.84/4.46 inComplementUnionImpNotIn1 => 26.84/4.46 ( 26.84/4.46 inComplementUnionImpInComplement1 => 26.84/4.46 ( 26.84/4.46 binunionTE => 26.84/4.46 ( 26.84/4.46 binunionTEcontra => 26.84/4.46 ( 26.84/4.46 demorgan2a1 => 26.84/4.46 ( 26.84/4.46 complementUnionInPowersetComplement => 26.84/4.46 ( 26.84/4.46 demorgan2a2 => 26.84/4.46 ( 26.84/4.46 demorgan1a => 26.84/4.46 ( 26.84/4.46 demorgan1b => 26.84/4.46 ( 26.84/4.46 demorgan1 => 26.84/4.46 ( 26.84/4.46 demorgan2a => 26.84/4.46 ( 26.84/4.46 demorgan2b2 => 26.84/4.46 ( 26.84/4.46 demorgan2b => 26.84/4.46 ( 26.84/4.46 demorgan2 => 26.84/4.46 ( 26.84/4.46 woz13rule0 => 26.84/4.46 ( 26.84/4.46 woz13rule1 => 26.84/4.46 ( 26.84/4.46 woz13rule2 => 26.84/4.46 ( 26.84/4.46 woz13rule3 => 26.84/4.46 ( 26.84/4.46 woz13rule4 => 26.84/4.46 ( 26.84/4.46 woz1_1 => 26.84/4.46 ( 26.84/4.46 woz1_2 => 26.84/4.46 ( 26.84/4.46 woz1_3 => 26.84/4.46 ( 26.84/4.46 woz1_4 => 26.84/4.46 ( 26.84/4.46 woz1_5 => 26.84/4.46 ( 26.84/4.46 breln1all2 => 26.84/4.46 ( 26.84/4.46 breln1SetBreln1 => 26.84/4.46 ( 26.84/4.46 choice2fnsingleton => 26.84/4.46 ( 26.84/4.46 setOfPairsIsBReln1 => 26.84/4.46 ( 26.84/4.46 breln1all1 => 26.84/4.46 ( 26.84/4.46 subbreln1 => 26.84/4.46 ( 26.84/4.46 eqbreln1 => 26.84/4.46 ( 26.84/4.46 breln1invprop => 26.84/4.46 ( 26.84/4.46 breln1invI => 26.84/4.46 ( 26.84/4.46 breln1invE => 26.84/4.46 ( 26.84/4.46 breln1compprop => 26.84/4.46 ( 26.84/4.46 breln1compI => 26.84/4.46 ( 26.84/4.46 breln1compE => 26.84/4.46 ( 26.84/4.46 breln1compEex => 26.84/4.46 ( 26.84/4.46 breln1unionprop => 26.84/4.46 ( 26.84/4.46 breln1unionIL => 26.84/4.46 ( 26.84/4.46 breln1unionIR => 26.84/4.46 ( 26.84/4.46 breln1unionI => 26.84/4.46 ( 26.84/4.46 breln1unionE => 26.84/4.46 ( 26.84/4.46 breln1unionEcases => 26.84/4.46 ( 26.84/4.46 breln1unionCommutes => 26.84/4.46 ( 26.84/4.46 woz2Ex => 26.84/4.46 ( 26.84/4.46 woz2W => 26.84/4.46 ( 26.84/4.46 woz2A => 26.84/4.46 ( 26.84/4.46 woz2B => 26.84/4.46 ( 26.84/4.46 image1Ex => 26.84/4.46 ( 26.84/4.46 image1Ex1 => 26.84/4.46 ( 26.84/4.46 image1Equiv => 26.84/4.46 ( 26.84/4.46 image1E => 26.84/4.46 ( 26.84/4.46 image1I => 26.84/4.46 ( 26.84/4.46 ![A,B,Xf]: 26.84/4.46 (in( 26.84/4.46 Xf, 26.84/4.46 funcSet( 26.84/4.46 A,B)) => 26.84/4.46 (injective( 26.84/4.46 A,B,Xf) => 26.84/4.46 in( 26.84/4.46 Xf, 26.84/4.46 injFuncSet( 26.84/4.46 A,B)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 26.84/4.46 tff(zf_stmt_0, conjecture, 26.84/4.46 ((![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))) => 26.84/4.46 ((![X10]: (~in(X10,emptyset))) => 26.84/4.46 ((![X12,X14,X16]: 26.84/4.46 (in(X16,setadjoin(X12,X14)) <=> (in(X16,X14) | (X16 = X12)))) => 26.84/4.46 ((![X18,X20]: 26.84/4.46 (in(X20,powerset(X18)) <=> (![X22]: (in(X22,X20) => in(X22,X18))))) => 26.84/4.46 ((![X24,X26]: 26.84/4.46 (in(X26,setunion(X24)) <=> (?[X28]: (in(X26,X28) & in(X28,X24))))) => 26.84/4.46 (in(emptyset,omega) => 26.84/4.46 ((![X30]: (in(X30,omega) => in(setadjoin(X30,X30),omega))) => 26.84/4.46 ((![X32]: 26.84/4.46 (((![X34]: 26.84/4.46 ((in(X34,X32) & in(X34,omega)) => 26.84/4.46 in(setadjoin(X34,X34),X32))) & 26.84/4.46 in(emptyset,X32)) => 26.84/4.46 (![X36]: (in(X36,omega) => in(X36,X32))))) => 26.84/4.46 ((![X38:(($i * $i) > $o),X40]: 26.84/4.46 ((![X42]: 26.84/4.46 (in(X42,X40) => 26.84/4.46 (?[X44]: 26.84/4.46 (X38(X42,X44) & (![X46]: (X38(X42,X46) => (X44 = X46))))))) => 26.84/4.46 (?[X48]: 26.84/4.46 (![X50]: 26.84/4.46 (in(X50,X48) <=> (?[X52]: (in(X52,X40) & X38(X52,X50)))))))) => 26.84/4.46 ((![X54]: 26.84/4.46 ((?[X56]: in(X56,X54)) => 26.84/4.46 (?[X58]: 26.84/4.46 (in(X58,X54) & (~(?[X60]: (in(X60,X58) & in(X60,X54)))))))) => 26.84/4.46 ((![X62]: 26.84/4.46 (?[X64]: 26.84/4.46 ((![X96]: 26.84/4.46 (in(X96,X64) => (![X98]: (in(X98,X96) => in(X98,X62))))) & 26.84/4.46 (![X90,X92]: 26.84/4.46 ((in(X92,X62) & in(X90,X62)) => 26.84/4.46 ((![X94]: 26.84/4.46 (in(X94,X64) => (in(X90,X94) <=> in(X92,X94)))) => 26.84/4.46 (X90 = X92)))) & 26.84/4.46 (![X82,X84]: 26.84/4.46 ((in(X84,X64) & in(X82,X64)) => 26.84/4.46 ((![X88]: (in(X88,X84) => in(X88,X82))) | 26.84/4.46 (![X86]: (in(X86,X82) => in(X86,X84)))))) & 26.84/4.46 (![X66]: 26.84/4.46 (((?[X70]: in(X70,X66)) & 26.84/4.46 (![X68]: (in(X68,X66) => in(X68,X62)))) => 26.84/4.46 (?[X72,X74]: 26.84/4.46 (in(X72,X64) & in(X74,X66) & 26.84/4.46 (~(?[X80]: (in(X80,X72) & in(X80,X66)))) & 26.84/4.46 (![X76]: 26.84/4.46 (in(X76,X64) => 26.84/4.46 (in(X74,X76) | 26.84/4.46 (![X78]: (in(X78,X76) => in(X78,X72))))))))))))) => 26.84/4.46 ((![X100:(($i > $o))]: 26.84/4.46 ((?[X102]: 26.84/4.46 (X100(X102) & (![X104]: (X100(X104) => (X102 = X104))))) => 26.84/4.46 X100(descr(^[V_1]: X100(V_1))))) => 26.84/4.46 ((![X106,X108:(($i > $o)),X110]: 26.84/4.46 (in(X110,X106) => 26.84/4.46 (X108(X110) => in(X110,dsetconstr(X106,^[V_2]: X108(V_2)))))) => 26.84/4.46 ((![X112,X114:(($i > $o)),X116]: 26.84/4.46 (in(X116,dsetconstr(X112,^[V_3]: X114(V_3))) => 26.84/4.46 in(X116,X112))) => 26.84/4.46 ((![X118,X120:(($i > $o)),X122]: 26.84/4.46 (in(X122,dsetconstr(X118,^[V_4]: X120(V_4))) => 26.84/4.46 X120(X122))) => 26.84/4.46 ((![X124:(($i > $o))]: 26.84/4.46 ((?[X126]: 26.84/4.46 (X124(X126) & 26.84/4.46 (![X128]: (X124(X128) => (X126 = X128))))) => 26.84/4.46 (?[X130]: 26.84/4.46 (X124(X130) & 26.84/4.46 (![X132]: (X124(X132) => (X130 = X132))))))) => 26.84/4.46 ((![X134:$o,X136]: (in(X136,prop2set(X134)) => X134)) => 26.84/4.46 ((![X138]: (in(X138,emptyset) => (![X140:$o]: X140))) => 26.84/4.46 ((![X142]: (in(X142,emptyset) => $false)) => 26.84/4.46 ((![X144]: (~in(X144,emptyset))) => 26.84/4.46 ((![X146:(($i > $o))]: 26.84/4.46 ((?[X148]: 26.84/4.46 (X146(X148) & 26.84/4.46 (![X150]: (X146(X150) => (X148 = X150))))) => 26.84/4.46 (?[X152]: X146(X152)))) => 26.84/4.46 ((![X154,X156]: 26.84/4.46 ((![X158]: (in(X158,X154) => in(X158,X156))) => 26.84/4.46 ((![X160]: (in(X160,X156) => in(X160,X154))) => 26.84/4.46 (X154 = X156)))) => 26.84/4.46 ((![X162]: 26.84/4.46 ((![X164]: (~in(X164,X162))) => (X162 = emptyset))) => 26.84/4.46 ((![X166]: 26.84/4.46 ((![X168]: (~in(X168,X166))) => 26.84/4.46 (X166 = emptyset))) => 26.84/4.46 ((![X170,X172:(($i > $o)),X174]: 26.84/4.46 (in(X174,X170) => 26.84/4.46 (in(X174,dsetconstr(X170,^[V_5]: X172(V_5))) <=> 26.84/4.46 X172(X174)))) => 26.84/4.46 ((![X176]: 26.84/4.46 ((X176 != emptyset) => 26.84/4.46 (?[X178]: in(X178,X176)))) => 26.84/4.46 ((![X180,X182:(($i > $o)),X184]: 26.84/4.46 (in(X184,X180) => 26.84/4.46 (X182(X184) => 26.84/4.46 (dsetconstr(X180,^[V_6]: X182(V_6)) != 26.84/4.46 emptyset)))) => 26.84/4.46 ((![X186]: 26.84/4.46 ((?[X188]: in(X188,X186)) => 26.84/4.46 (X186 != emptyset))) => 26.84/4.46 ((![X190,X192]: in(X190,setadjoin(X190,X192))) => 26.84/4.46 (in(emptyset,setadjoin(emptyset,emptyset)) => 26.84/4.46 ((![X194,X196,X198]: 26.84/4.46 (in(X198,X196) => 26.84/4.46 in(X198,setadjoin(X194,X196)))) => 26.84/4.46 ((![X200,X202,X204]: 26.84/4.46 (in(X204,setadjoin(X200,X202)) => 26.84/4.46 (![X206:$o]: 26.84/4.46 (((X204 = X200) => X206) => 26.84/4.46 ((in(X204,X202) => X206) => X206))))) => 26.84/4.46 ((![X208,X210,X212]: 26.84/4.46 (in(X212,setadjoin(X208,X210)) => 26.84/4.46 (in(X212,X210) | (X212 = X208)))) => 26.84/4.46 ((![X214]: 26.84/4.46 (dsetconstr(X214,^[V_7]: $true) = X214)) => 26.84/4.46 ((![X216,X218]: 26.84/4.46 ((![X220]: 26.84/4.46 (in(X220,X218) => in(X220,X216))) => 26.84/4.46 in(X218,powerset(X216)))) => 26.84/4.46 ((![X222]: in(emptyset,powerset(X222))) => 26.84/4.46 ((![X224]: in(emptyset,powerset(X224))) => 26.84/4.46 ((![X226,X228,X230]: 26.84/4.46 (in(X228,powerset(X226)) => 26.84/4.46 (in(X230,X228) => in(X230,X226)))) => 26.84/4.46 ((![X232,X234,X236]: 26.84/4.46 (in(X234,X236) => 26.84/4.46 (in(X236,X232) => 26.84/4.46 in(X234,setunion(X232))))) => 26.84/4.46 ((![X238,X240]: 26.84/4.46 (in(X240,setunion(X238)) => 26.84/4.46 (![X242:$o]: 26.84/4.46 ((![X244]: 26.84/4.46 (in(X240,X244) => 26.84/4.46 (in(X244,X238) => X242))) => 26.84/4.46 X242)))) => 26.84/4.46 ((![X246,X248]: 26.84/4.46 (in(X248,X246) => 26.84/4.46 in(X248, 26.84/4.46 powerset(setunion(X246))))) => 26.84/4.46 ((![X250:(($i > $o))]: 26.84/4.46 ((?[X252]: 26.84/4.46 (X250(X252) & 26.84/4.46 (![X254]: 26.84/4.46 (X250(X254) => 26.84/4.46 (X252 = X254))))) => 26.84/4.46 (?[X256]: 26.84/4.46 (![X258]: 26.84/4.46 (X250(X258) <=> 26.84/4.46 (X258 = X256)))))) => 26.84/4.46 ((![X260]: 26.84/4.46 ((X260 != emptyset) => 26.84/4.46 (?[X262]: in(X262,X260)))) => 26.84/4.46 ((![X264,X266]: 26.84/4.46 (in(X264, 26.84/4.46 setadjoin(X266,emptyset)) => 26.84/4.46 (X264 = X266))) => 26.84/4.46 ((![X268,X270]: 26.84/4.46 ((X268 != X270) => 26.84/4.46 (~ 26.84/4.46 in(X270, 26.84/4.46 setadjoin(X268, 26.84/4.46 emptyset))))) => 26.84/4.46 ((![X272,X274]: 26.84/4.46 ((X272 = X274) => 26.84/4.46 in(X272, 26.84/4.46 setadjoin(X274, 26.84/4.46 emptyset)))) => 26.84/4.46 ((![X276,X278]: 26.84/4.46 (in(X276, 26.84/4.46 setadjoin(X278, 26.84/4.46 emptyset)) => 26.84/4.46 in(X278, 26.84/4.46 setadjoin(X276, 26.84/4.46 emptyset)))) => 26.84/4.46 ((![X280,X282,X284]: 26.84/4.46 (in(X284, 26.84/4.46 setadjoin(X280, 26.84/4.46 setadjoin( 26.84/4.46 X282, 26.84/4.46 emptyset))) => 26.84/4.46 ((X284 = X282) | 26.84/4.46 (X284 = X280)))) => 26.84/4.46 ((![X286,X288]: 26.84/4.46 in(X286, 26.84/4.46 setadjoin(X286, 26.84/4.46 setadjoin( 26.84/4.46 X288, 26.84/4.46 emptyset)))) => 26.84/4.46 ((![X290,X292]: 26.84/4.46 in(X292, 26.84/4.46 setadjoin(X290, 26.84/4.46 setadjoin( 26.84/4.46 X292, 26.84/4.46 emptyset)))) => 26.84/4.46 ((![X294,X296:(($i > $o))]: 26.84/4.46 ((?[X298]: 26.84/4.46 (in(X298,X294) & 26.84/4.46 X296(X298))) => 26.84/4.46 ((dsetconstr( 26.84/4.46 X294, 26.84/4.46 ^[V_8]: X296(V_8)) = 26.84/4.46 emptyset) => 26.84/4.46 $false))) => 26.84/4.46 ((![X300:(($i > $o)), 26.84/4.46 X302]: 26.84/4.46 (in(X302,emptyset) => 26.84/4.46 X300(X302))) => 26.84/4.46 ((![X304, 26.84/4.46 X306:(($i > $o))]: 26.84/4.46 ((~ 26.84/4.46 (![X308]: 26.84/4.46 (in(X308,X304) => 26.84/4.46 X306(X308)))) => 26.84/4.46 (?[X310]: 26.84/4.46 (in(X310,X304) & 26.84/4.46 (~X306(X310)))))) => 26.84/4.46 ((![X312, 26.84/4.46 X314:(($i > $o))]: 26.84/4.46 ((![X316]: 26.84/4.46 (in(X316,X312) => 26.84/4.46 (~X314(X316)))) => 26.84/4.46 (~ 26.84/4.46 (?[X318]: 26.84/4.46 (in( 26.84/4.46 X318,X312) & 26.84/4.46 X314(X318)))))) => 26.84/4.46 ((![X320, 26.84/4.46 X322:(($i > $o))]: 26.84/4.46 ((~ 26.84/4.46 (?[X324]: 26.84/4.46 (in( 26.84/4.46 X324,X320) & 26.84/4.46 X322(X324)))) => 26.84/4.46 (![X326]: 26.84/4.46 (in(X326,X320) => 26.84/4.46 (~X322(X326)))))) => 26.84/4.46 ((![X328, 26.84/4.46 X330:(($i > $o))]: 26.84/4.46 ((?[X332]: 26.84/4.46 (in( 26.84/4.46 X332,X328) & 26.84/4.46 (~ 26.84/4.46 X330( 26.84/4.46 X332)))) => 26.84/4.46 (~ 26.84/4.46 (![X334]: 26.84/4.46 (in( 26.84/4.46 X334,X328) => 26.84/4.46 X330( 26.84/4.46 X334)))))) => 26.84/4.46 ((![X336:$o]: 26.84/4.46 (X336 => 26.84/4.46 in(emptyset, 26.84/4.46 prop2set( 26.84/4.46 X336)))) => 26.84/4.46 ((![X338:$o]: 26.84/4.46 (X338 => 26.84/4.46 set2prop( 26.84/4.46 prop2set( 26.84/4.46 X338)))) => 26.84/4.46 ((![X340, 26.84/4.46 X342:( 26.84/4.46 ($i > $o))]: 26.84/4.46 ((~ 26.84/4.46 (?[X344]: 26.84/4.46 (in( 26.84/4.46 X344,X340) & 26.84/4.46 X342( 26.84/4.46 X344)))) => 26.84/4.46 (![X346]: 26.84/4.46 ( 26.84/4.46 in( 26.84/4.46 X346,X340) => 26.84/4.46 ( 26.84/4.46 ~ 26.84/4.46 X342( 26.84/4.46 X346)))))) => 26.84/4.46 ((![X348, 26.84/4.46 X350:( 26.84/4.46 ($i > $o))]: 26.84/4.46 ((~ 26.84/4.46 ( 26.84/4.46 ![X352]: 26.84/4.46 (in( 26.84/4.46 X352,X348) => 26.84/4.46 X350( 26.84/4.46 X352)))) => 26.84/4.46 (?[X354]: 26.84/4.46 (in( 26.84/4.46 X354,X348) & 26.84/4.46 (~ 26.84/4.46 X350( 26.84/4.46 X354)))))) => 26.84/4.46 ((![X356:( 26.84/4.46 ($i > $o))]: 26.84/4.46 ((?[X358]: 26.84/4.46 (X356( 26.84/4.46 X358) & 26.84/4.46 (![X360]: 26.84/4.46 (X356( 26.84/4.46 X360) => 26.84/4.46 (X358 = 26.84/4.46 X360))))) => 26.84/4.46 (?[X362]: 26.84/4.46 (X356( 26.84/4.46 X362) & 26.84/4.46 (![X364]: 26.84/4.46 (X356( 26.84/4.46 X364) => 26.84/4.46 (X362 = 26.84/4.46 X364))))))) => 26.84/4.46 ((![X366:( 26.84/4.46 ($i > $o))]: 26.84/4.46 (( 26.84/4.46 ?[X368]: 26.84/4.46 X366( 26.84/4.46 X368)) => 26.84/4.46 ( 26.84/4.46 ( 26.84/4.46 ![X370, 26.84/4.46 X372]: 26.84/4.46 (X366( 26.84/4.46 X370) => 26.84/4.46 (X366( 26.84/4.46 X372) => 26.84/4.46 (X370 = 26.84/4.46 X372)))) => 26.84/4.46 ( 26.84/4.46 ?[X374]: 26.84/4.46 (X366( 26.84/4.46 X374) & 26.84/4.46 (![X376]: 26.84/4.46 (X366( 26.84/4.46 X376) => 26.84/4.46 (X374 = 26.84/4.46 X376)))))))) => 26.84/4.46 ((![X378:( 26.84/4.46 ( 26.84/4.46 $i > $o))]: 26.84/4.46 ( 26.84/4.46 ( 26.84/4.46 ?[X380]: 26.84/4.46 (![X382]: 26.84/4.46 (X378( 26.84/4.46 X382) <=> 26.84/4.46 (X382 = 26.84/4.46 X380)))) => 26.84/4.46 ( 26.84/4.46 ?[X384]: 26.84/4.46 (X378( 26.84/4.46 X384) & 26.84/4.46 (![X386]: 26.84/4.46 (X378( 26.84/4.46 X386) => 26.84/4.46 (X384 = 26.84/4.46 X386))))))) => 26.84/4.46 ((![X388, 26.84/4.46 X390]: 26.84/4.46 (( 26.84/4.46 X388 = 26.84/4.46 X390) => 26.84/4.46 (![X392, 26.84/4.46 X394]: 26.84/4.46 (( 26.84/4.46 X392 = 26.84/4.46 X394) => 26.84/4.46 (in( 26.84/4.46 X392,X388) => 26.84/4.46 in( 26.84/4.46 X394,X390)))))) => 26.84/4.46 ((![X396, 26.84/4.46 X398]: 26.84/4.46 (( 26.84/4.46 X396 = 26.84/4.46 X398) => 26.84/4.46 (![X400, 26.84/4.46 X402]: 26.84/4.46 (( 26.84/4.46 X400 = 26.84/4.46 X402) => 26.84/4.46 (in( 26.84/4.46 X400,X396) <=> 26.84/4.46 in( 26.84/4.46 X402,X398)))))) => 26.84/4.46 (( 26.84/4.46 ![X404:( 26.84/4.46 ( 26.84/4.46 $i > $o))]: 26.84/4.46 (( 26.84/4.46 ?[X406]: 26.84/4.46 (X404( 26.84/4.46 X406) & 26.84/4.46 (![X408]: 26.84/4.46 (X404( 26.84/4.46 X408) => 26.84/4.46 (X406 = 26.84/4.46 X408))))) => 26.84/4.46 (![X410, 26.84/4.46 X412]: 26.84/4.46 (X404( 26.84/4.46 X410) => 26.84/4.46 (X404( 26.84/4.46 X412) => 26.84/4.46 (X410 = 26.84/4.46 X412)))))) => 26.84/4.46 ( 26.84/4.46 ( 26.84/4.46 ![X414:( 26.84/4.46 ( 26.84/4.46 $i > $o)), 26.84/4.46 X416:( 26.84/4.46 ( 26.84/4.46 $i > $o))]: 26.84/4.46 (( 26.84/4.46 ![X418, 26.84/4.46 X420]: 26.84/4.46 (( 26.84/4.46 X418 = 26.84/4.46 X420) => 26.84/4.46 (X414( 26.84/4.46 X418) <=> 26.84/4.46 X416( 26.84/4.46 X420)))) => 26.84/4.46 (( 26.84/4.46 ?[X422]: 26.84/4.46 (X414( 26.84/4.46 X422) & 26.84/4.46 (![X424]: 26.84/4.46 (X414( 26.84/4.46 X424) => 26.84/4.46 (X422 = 26.84/4.46 X424))))) <=> 26.84/4.46 (?[X426]: 26.84/4.46 (X416( 26.84/4.46 X426) & 26.84/4.46 (![X428]: 26.84/4.46 (X416( 26.84/4.46 X428) => 26.84/4.46 (X426 = 26.84/4.46 X428)))))))) => 26.84/4.46 ( 26.84/4.46 ( 26.84/4.46 emptyset = 26.84/4.46 emptyset) => 26.84/4.46 ( 26.84/4.46 ( 26.84/4.46 ![X430, 26.84/4.46 X432]: 26.84/4.46 (( 26.84/4.46 X430 = 26.84/4.46 X432) => 26.84/4.46 (![X434, 26.84/4.46 X436]: 26.84/4.46 (( 26.84/4.46 X434 = 26.84/4.46 X436) => 26.84/4.46 (setadjoin( 26.84/4.46 X430,X434) = 26.84/4.46 setadjoin( 26.84/4.46 X432,X436)))))) => 26.84/4.46 ( 26.84/4.46 ( 26.84/4.46 ![X438, 26.84/4.46 X440]: 26.84/4.46 (( 26.84/4.46 X438 = 26.84/4.46 X440) => 26.84/4.46 (powerset( 26.84/4.46 X438) = 26.84/4.46 powerset( 26.84/4.46 X440)))) => 26.84/4.46 ( 26.84/4.46 ( 26.84/4.46 ![X442, 26.84/4.46 X444]: 26.84/4.46 (( 26.84/4.46 X442 = 26.84/4.46 X444) => 26.84/4.46 (setunion( 26.84/4.46 X442) = 26.84/4.46 setunion( 26.84/4.46 X444)))) => 26.84/4.46 ( 26.84/4.46 ( 26.84/4.46 omega = 26.84/4.46 omega) => 26.84/4.46 ( 26.84/4.46 ( 26.84/4.46 ![X446:( 26.84/4.46 ( 26.84/4.46 $i > $o))]: 26.84/4.46 (( 26.84/4.46 ?[X448]: 26.84/4.46 (X446( 26.84/4.46 X448) & 26.84/4.46 (![X450]: 26.84/4.46 (X446( 26.84/4.46 X450) => 26.84/4.46 (X448 = 26.84/4.46 X450))))) => 26.84/4.46 (![X452, 26.84/4.46 X454]: 26.84/4.46 (X446( 26.84/4.46 X452) => 26.84/4.46 (X446( 26.84/4.46 X454) => 26.84/4.46 (X452 = 26.84/4.46 X454)))))) => 26.84/4.46 ( 26.84/4.46 ( 26.84/4.46 ![X456:( 26.84/4.46 ( 26.84/4.46 $i > $o)), 26.84/4.46 X458:( 26.84/4.46 ( 26.84/4.46 $i > $o))]: 26.84/4.46 (( 26.84/4.46 ![X460, 26.84/4.46 X462]: 26.84/4.46 (( 26.84/4.46 X460 = 26.84/4.46 X462) => 26.84/4.46 (X456( 26.84/4.46 X460) <=> 26.84/4.46 X458( 26.84/4.46 X462)))) => 26.84/4.46 (( 26.84/4.46 ?[X464]: 26.84/4.46 (X456( 26.84/4.46 X464) & 26.84/4.46 (![X466]: 26.84/4.46 (X456( 26.84/4.46 X466) => 26.84/4.46 (X464 = 26.84/4.46 X466))))) => 26.84/4.46 (( 26.84/4.46 ?[X468]: 26.84/4.46 (X458( 26.84/4.46 X468) & 26.84/4.46 (![X470]: 26.84/4.46 (X458( 26.84/4.46 X470) => 26.84/4.46 (X468 = 26.84/4.46 X470))))) => 26.84/4.46 (descr( 26.84/4.46 ^[V_9]: 26.84/4.46 X456(V_9)) = 26.84/4.46 descr( 26.84/4.46 ^[V_10]: 26.84/4.46 X458( 26.84/4.46 V_10))))))) => 26.84/4.46 ( 26.84/4.46 ( 26.84/4.46 ![X472, 26.84/4.46 X474]: 26.84/4.46 (( 26.84/4.46 X472 = 26.84/4.46 X474) => 26.84/4.46 (![X476:( 26.84/4.46 ( 26.84/4.46 $i > $o)), 26.84/4.46 X478:( 26.84/4.46 ( 26.84/4.46 $i > $o))]: 26.84/4.46 (( 26.84/4.46 ![X480]: 26.84/4.46 (in( 26.84/4.46 X480,X472) => 26.84/4.46 (![X482]: 26.84/4.46 (in( 26.84/4.46 X482,X474) => 26.84/4.46 (( 26.84/4.46 X480 = 26.84/4.46 X482) => 26.84/4.46 (X476( 26.84/4.46 X480) <=> 26.84/4.46 X478( 26.84/4.46 X482))))))) => 26.84/4.47 (dsetconstr( 26.84/4.47 X472, 26.84/4.47 ^[V_11]: 26.84/4.47 X476( 26.84/4.47 V_11)) = 26.84/4.47 dsetconstr( 26.84/4.47 X474, 26.84/4.47 ^[V_12]: 26.84/4.47 X478( 26.84/4.47 V_12))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X484, 26.84/4.47 X486]: 26.84/4.47 (( 26.84/4.47 ![X488]: 26.84/4.47 (in( 26.84/4.47 X488,X484) => 26.84/4.47 in( 26.84/4.47 X488,X486))) => 26.84/4.47 subset( 26.84/4.47 X484,X486))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X490, 26.84/4.47 X492]: 26.84/4.47 (( 26.84/4.47 X490 = 26.84/4.47 X492) => 26.84/4.47 subset( 26.84/4.47 X492,X490))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X494, 26.84/4.47 X496]: 26.84/4.47 (( 26.84/4.47 X494 = 26.84/4.47 X496) => 26.84/4.47 subset( 26.84/4.47 X494,X496))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X498, 26.84/4.47 X500]: 26.84/4.47 (( 26.84/4.47 ![X502]: 26.84/4.47 (in( 26.84/4.47 X502,X498) => 26.84/4.47 in( 26.84/4.47 X502,X500))) => 26.84/4.47 subset( 26.84/4.47 X498,X500))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X504]: 26.84/4.47 subset( 26.84/4.47 emptyset, 26.84/4.47 X504)) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X506, 26.84/4.47 X508,X510]: 26.84/4.47 (subset( 26.84/4.47 X506,X508) => 26.84/4.47 (in( 26.84/4.47 X510,X506) => 26.84/4.47 in( 26.84/4.47 X510,X508)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X512, 26.84/4.47 X514,X516]: 26.84/4.47 (subset( 26.84/4.47 X512,X514) => 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X516,X514)) => 26.84/4.47 (~ 26.84/4.47 in( 26.84/4.47 X516,X512))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X518, 26.84/4.47 X520,X522]: 26.84/4.47 (in( 26.84/4.47 X522,X518) => 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X522,X520)) => 26.84/4.47 (~ 26.84/4.47 subset( 26.84/4.47 X518,X520))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X524, 26.84/4.47 X526]: 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 subset( 26.84/4.47 X524,X526)) => 26.84/4.47 (X524 != 26.84/4.47 X526))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X528, 26.84/4.47 X530,X532]: 26.84/4.47 (in( 26.84/4.47 X532,X528) => 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X532,X530)) => 26.84/4.47 (X528 != 26.84/4.47 X530)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X534]: 26.84/4.47 subset( 26.84/4.47 X534,X534)) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X536, 26.84/4.47 X538,X540]: 26.84/4.47 (subset( 26.84/4.47 X536,X538) => 26.84/4.47 (subset( 26.84/4.47 X538,X540) => 26.84/4.47 subset( 26.84/4.47 X536,X540)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X542, 26.84/4.47 X544]: 26.84/4.47 subset( 26.84/4.47 X544, 26.84/4.47 setadjoin( 26.84/4.47 X542,X544))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X546, 26.84/4.47 X548,X550]: 26.84/4.47 (subset( 26.84/4.47 X546,X550) => 26.84/4.47 subset( 26.84/4.47 X546, 26.84/4.47 setadjoin( 26.84/4.47 X548,X550)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X552, 26.84/4.47 X554]: 26.84/4.47 (subset( 26.84/4.47 X552,X554) => 26.84/4.47 in( 26.84/4.47 X552, 26.84/4.47 powerset( 26.84/4.47 X554)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X556, 26.84/4.47 X558]: 26.84/4.47 (subset( 26.84/4.47 X556,X558) => 26.84/4.47 (subset( 26.84/4.47 X558,X556) => 26.84/4.47 (X556 = 26.84/4.47 X558)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X560]: 26.84/4.47 (subset( 26.84/4.47 X560, 26.84/4.47 emptyset) => 26.84/4.47 (X560 = 26.84/4.47 emptyset))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X562, 26.84/4.47 X564]: 26.84/4.47 (subset( 26.84/4.47 X564,X562) => 26.84/4.47 in( 26.84/4.47 X564, 26.84/4.47 powerset( 26.84/4.47 X562)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X566, 26.84/4.47 X568]: 26.84/4.47 (in( 26.84/4.47 X568, 26.84/4.47 powerset( 26.84/4.47 X566)) => 26.84/4.47 subset( 26.84/4.47 X568,X566))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X570]: 26.84/4.47 in( 26.84/4.47 X570, 26.84/4.47 powerset( 26.84/4.47 X570))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X572, 26.84/4.47 X574]: 26.84/4.47 (subset( 26.84/4.47 X572,X574) => 26.84/4.47 subset( 26.84/4.47 powerset( 26.84/4.47 X572), 26.84/4.47 powerset( 26.84/4.47 X574)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X576, 26.84/4.47 X578:( 26.84/4.47 ( 26.84/4.47 $i > $o))]: 26.84/4.47 in( 26.84/4.47 dsetconstr( 26.84/4.47 X576, 26.84/4.47 ^[V_13]: 26.84/4.47 X578( 26.84/4.47 V_13)), 26.84/4.47 powerset( 26.84/4.47 X576))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X580, 26.84/4.47 X582:( 26.84/4.47 ( 26.84/4.47 $i > $o))]: 26.84/4.47 subset( 26.84/4.47 dsetconstr( 26.84/4.47 X580, 26.84/4.47 ^[V_14]: 26.84/4.47 X582( 26.84/4.47 V_14)), 26.84/4.47 X580)) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X584, 26.84/4.47 X586,X588]: 26.84/4.47 (in( 26.84/4.47 X588,X584) => 26.84/4.47 in( 26.84/4.47 X588, 26.84/4.47 binunion( 26.84/4.47 X584,X586)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X590, 26.84/4.47 X592]: 26.84/4.47 in( 26.84/4.47 X592, 26.84/4.47 setadjoin( 26.84/4.47 X590, 26.84/4.47 setadjoin( 26.84/4.47 X592, 26.84/4.47 emptyset)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X594, 26.84/4.47 X596,X598]: 26.84/4.47 (in( 26.84/4.47 X598,X596) => 26.84/4.47 in( 26.84/4.47 X598, 26.84/4.47 binunion( 26.84/4.47 X594,X596)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X600, 26.84/4.47 X602, 26.84/4.47 X604, 26.84/4.47 X606:$o]: 26.84/4.47 (in( 26.84/4.47 X604, 26.84/4.47 binunion( 26.84/4.47 X600,X602)) => 26.84/4.47 (( 26.84/4.47 in( 26.84/4.47 X604,X600) => 26.84/4.47 X606) => 26.84/4.47 (( 26.84/4.47 in( 26.84/4.47 X604,X602) => 26.84/4.47 X606) => 26.84/4.47 X606)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X608, 26.84/4.47 X610,X612]: 26.84/4.47 (in( 26.84/4.47 X612, 26.84/4.47 binunion( 26.84/4.47 X608,X610)) => 26.84/4.47 (in( 26.84/4.47 X612,X610) | 26.84/4.47 in( 26.84/4.47 X612,X608)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X614, 26.84/4.47 X616]: 26.84/4.47 subset( 26.84/4.47 X614, 26.84/4.47 binunion( 26.84/4.47 X614,X616))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X618, 26.84/4.47 X620]: 26.84/4.47 subset( 26.84/4.47 X620, 26.84/4.47 binunion( 26.84/4.47 X618,X620))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X622, 26.84/4.47 X624,X626]: 26.84/4.47 (in( 26.84/4.47 X626,X622) => 26.84/4.47 (in( 26.84/4.47 X626,X624) => 26.84/4.47 in( 26.84/4.47 X626, 26.84/4.47 binintersect( 26.84/4.47 X622,X624))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X628, 26.84/4.47 X630,X632]: 26.84/4.47 (subset( 26.84/4.47 X632,X628) => 26.84/4.47 (subset( 26.84/4.47 X632,X630) => 26.84/4.47 subset( 26.84/4.47 X632, 26.84/4.47 binintersect( 26.84/4.47 X628,X630))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X634, 26.84/4.47 X636,X638]: 26.84/4.47 (in( 26.84/4.47 X638, 26.84/4.47 binintersect( 26.84/4.47 X634,X636)) => 26.84/4.47 in( 26.84/4.47 X638,X634))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X640, 26.84/4.47 X642]: 26.84/4.47 subset( 26.84/4.47 binintersect( 26.84/4.47 X640,X642), 26.84/4.47 X640)) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X644, 26.84/4.47 X646]: 26.84/4.47 (subset( 26.84/4.47 X644,X646) => 26.84/4.47 (binintersect( 26.84/4.47 X644,X646) = 26.84/4.47 X644))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X648, 26.84/4.47 X650]: 26.84/4.47 (( 26.84/4.47 binintersect( 26.84/4.47 X648,X650) = 26.84/4.47 X650) => 26.84/4.47 subset( 26.84/4.47 X650,X648))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X652, 26.84/4.47 X654,X656]: 26.84/4.47 (in( 26.84/4.47 X656, 26.84/4.47 binintersect( 26.84/4.47 X652,X654)) => 26.84/4.47 in( 26.84/4.47 X656,X654))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X658, 26.84/4.47 X660]: 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 ( 26.84/4.47 ?[X662]: 26.84/4.47 (in( 26.84/4.47 X662,X658) & 26.84/4.47 in( 26.84/4.47 X662,X660)))) => 26.84/4.47 (binintersect( 26.84/4.47 X658,X660) = 26.84/4.47 emptyset))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X664, 26.84/4.47 X666]: 26.84/4.47 subset( 26.84/4.47 binintersect( 26.84/4.47 X664,X666), 26.84/4.47 X666)) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X668, 26.84/4.47 X670]: 26.84/4.47 (subset( 26.84/4.47 X670,X668) => 26.84/4.47 (binintersect( 26.84/4.47 X668,X670) = 26.84/4.47 X670))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X672, 26.84/4.47 X674]: 26.84/4.47 (( 26.84/4.47 binintersect( 26.84/4.47 X672,X674) = 26.84/4.47 X672) => 26.84/4.47 subset( 26.84/4.47 X672,X674))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X676, 26.84/4.47 X678,X680]: 26.84/4.47 (binintersect( 26.84/4.47 X676, 26.84/4.47 binunion( 26.84/4.47 X678,X680)) = 26.84/4.47 binunion( 26.84/4.47 binintersect( 26.84/4.47 X676,X678), 26.84/4.47 binintersect( 26.84/4.47 X676,X680)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X682, 26.84/4.47 X684,X686]: 26.84/4.47 (in( 26.84/4.47 X686,X682) => 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X686,X684)) => 26.84/4.47 in( 26.84/4.47 X686, 26.84/4.47 setminus( 26.84/4.47 X682,X684))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X688, 26.84/4.47 X690,X692]: 26.84/4.47 (in( 26.84/4.47 X692, 26.84/4.47 setminus( 26.84/4.47 X688,X690)) => 26.84/4.47 in( 26.84/4.47 X692,X688))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X694, 26.84/4.47 X696,X698]: 26.84/4.47 (in( 26.84/4.47 X698, 26.84/4.47 setminus( 26.84/4.47 X694,X696)) => 26.84/4.47 (~ 26.84/4.47 in( 26.84/4.47 X698,X696)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X700, 26.84/4.47 X702]: 26.84/4.47 (subset( 26.84/4.47 X700,X702) => 26.84/4.47 (setminus( 26.84/4.47 X700,X702) = 26.84/4.47 emptyset))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X704, 26.84/4.47 X706,X708]: 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X708, 26.84/4.47 setminus( 26.84/4.47 X704,X706))) => 26.84/4.47 (in( 26.84/4.47 X708,X704) => 26.84/4.47 in( 26.84/4.47 X708,X706)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X710, 26.84/4.47 X712,X714]: 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X714, 26.84/4.47 setminus( 26.84/4.47 X710,X712))) => 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X714,X712)) => 26.84/4.47 (~ 26.84/4.47 in( 26.84/4.47 X714,X710))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X716, 26.84/4.47 X718,X720]: 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X720,X716)) => 26.84/4.47 (~ 26.84/4.47 in( 26.84/4.47 X720, 26.84/4.47 setminus( 26.84/4.47 X716,X718))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X722, 26.84/4.47 X724,X726]: 26.84/4.47 (in( 26.84/4.47 X726,X724) => 26.84/4.47 (~ 26.84/4.47 in( 26.84/4.47 X726, 26.84/4.47 setminus( 26.84/4.47 X722,X724))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X728, 26.84/4.47 X730]: 26.84/4.47 subset( 26.84/4.47 setminus( 26.84/4.47 X728,X730), 26.84/4.47 X728)) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X732, 26.84/4.47 X734]: 26.84/4.47 (( 26.84/4.47 setminus( 26.84/4.47 X732,X734) = 26.84/4.47 emptyset) => 26.84/4.47 subset( 26.84/4.47 X732,X734))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X736, 26.84/4.47 X738,X740]: 26.84/4.47 (in( 26.84/4.47 X740, 26.84/4.47 symdiff( 26.84/4.47 X736,X738)) => 26.84/4.47 (![X742:$o]: 26.84/4.47 (( 26.84/4.47 in( 26.84/4.47 X740,X736) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X740,X738)) => 26.84/4.47 X742)) => 26.84/4.47 (( 26.84/4.47 ( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X740,X736)) => 26.84/4.47 ( 26.84/4.47 in( 26.84/4.47 X740,X738) => 26.84/4.47 X742)) => 26.84/4.47 X742))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X744, 26.84/4.47 X746,X748]: 26.84/4.47 (in( 26.84/4.47 X748,X744) => 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X748,X746)) => 26.84/4.47 in( 26.84/4.47 X748, 26.84/4.47 symdiff( 26.84/4.47 X744,X746))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X750, 26.84/4.47 X752,X754]: 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X754,X750)) => 26.84/4.47 (in( 26.84/4.47 X754,X752) => 26.84/4.47 in( 26.84/4.47 X754, 26.84/4.47 symdiff( 26.84/4.47 X750,X752))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X756, 26.84/4.47 X758,X760]: 26.84/4.47 (in( 26.84/4.47 X760,X756) => 26.84/4.47 (in( 26.84/4.47 X760,X758) => 26.84/4.47 (~ 26.84/4.47 in( 26.84/4.47 X760, 26.84/4.47 symdiff( 26.84/4.47 X756,X758)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X762, 26.84/4.47 X764,X766]: 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X766,X762)) => 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X766,X764)) => 26.84/4.47 (~ 26.84/4.47 in( 26.84/4.47 X766, 26.84/4.47 symdiff( 26.84/4.47 X762,X764)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X768, 26.84/4.47 X770]: 26.84/4.47 in( 26.84/4.47 X770, 26.84/4.47 setadjoin( 26.84/4.47 X768, 26.84/4.47 setadjoin( 26.84/4.47 X770, 26.84/4.47 emptyset)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X772, 26.84/4.47 X774]: 26.84/4.47 in( 26.84/4.47 X772, 26.84/4.47 setunion( 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X772, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X772, 26.84/4.47 setadjoin( 26.84/4.47 X774, 26.84/4.47 emptyset)), 26.84/4.47 emptyset))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X776, 26.84/4.47 X778]: 26.84/4.47 in( 26.84/4.47 X778, 26.84/4.47 setunion( 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X776, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X776, 26.84/4.47 setadjoin( 26.84/4.47 X778, 26.84/4.47 emptyset)), 26.84/4.47 emptyset))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X780, 26.84/4.47 X782]: 26.84/4.47 iskpair( 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X780, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X780, 26.84/4.47 setadjoin( 26.84/4.47 X782, 26.84/4.47 emptyset)), 26.84/4.47 emptyset)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X784, 26.84/4.47 X786]: 26.84/4.47 iskpair( 26.84/4.47 kpair( 26.84/4.47 X784,X786))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X788, 26.84/4.47 X790]: 26.84/4.47 (in( 26.84/4.47 X790,X788) => 26.84/4.47 subset( 26.84/4.47 setadjoin( 26.84/4.47 X790, 26.84/4.47 emptyset), 26.84/4.47 X788))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X792, 26.84/4.47 X794]: 26.84/4.47 (in( 26.84/4.47 X794,X792) => 26.84/4.47 in( 26.84/4.47 setadjoin( 26.84/4.47 X794, 26.84/4.47 emptyset), 26.84/4.47 powerset( 26.84/4.47 X792)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X796, 26.84/4.47 X798,X800]: 26.84/4.47 (in( 26.84/4.47 X800,X796) => 26.84/4.47 in( 26.84/4.47 setadjoin( 26.84/4.47 X800, 26.84/4.47 emptyset), 26.84/4.47 powerset( 26.84/4.47 binunion( 26.84/4.47 X796,X798))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X802, 26.84/4.47 X804,X806]: 26.84/4.47 (in( 26.84/4.47 X806, 26.84/4.47 setadjoin( 26.84/4.47 X802, 26.84/4.47 setadjoin( 26.84/4.47 X804, 26.84/4.47 emptyset))) => 26.84/4.47 (( 26.84/4.47 X806 = 26.84/4.47 X804) | 26.84/4.47 (X806 = 26.84/4.47 X802)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X808, 26.84/4.47 X810,X812]: 26.84/4.47 (in( 26.84/4.47 X812,X808) => 26.84/4.47 (![X814]: 26.84/4.47 (in( 26.84/4.47 X814,X810) => 26.84/4.47 subset( 26.84/4.47 setadjoin( 26.84/4.47 X812, 26.84/4.47 setadjoin( 26.84/4.47 X814, 26.84/4.47 emptyset)), 26.84/4.47 binunion( 26.84/4.47 X808,X810)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X816, 26.84/4.47 X818,X820]: 26.84/4.47 (in( 26.84/4.47 X820,X816) => 26.84/4.47 (![X822]: 26.84/4.47 (in( 26.84/4.47 X822,X818) => 26.84/4.47 in( 26.84/4.47 setadjoin( 26.84/4.47 X820, 26.84/4.47 setadjoin( 26.84/4.47 X822, 26.84/4.47 emptyset)), 26.84/4.47 powerset( 26.84/4.47 binunion( 26.84/4.47 X816,X818))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X824, 26.84/4.47 X826,X828]: 26.84/4.47 (in( 26.84/4.47 X828,X824) => 26.84/4.47 (![X830]: 26.84/4.47 (in( 26.84/4.47 X830,X826) => 26.84/4.47 subset( 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X828, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X828, 26.84/4.47 setadjoin( 26.84/4.47 X830, 26.84/4.47 emptyset)), 26.84/4.47 emptyset)), 26.84/4.47 powerset( 26.84/4.47 binunion( 26.84/4.47 X824,X826))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X832, 26.84/4.47 X834,X836]: 26.84/4.47 (in( 26.84/4.47 X836,X832) => 26.84/4.47 (![X838]: 26.84/4.47 (in( 26.84/4.47 X838,X834) => 26.84/4.47 in( 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X836, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X836, 26.84/4.47 setadjoin( 26.84/4.47 X838, 26.84/4.47 emptyset)), 26.84/4.47 emptyset)), 26.84/4.47 powerset( 26.84/4.47 powerset( 26.84/4.47 binunion( 26.84/4.47 X832,X834)))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X840, 26.84/4.47 X842,X844]: 26.84/4.47 (in( 26.84/4.47 X844,X840) => 26.84/4.47 (![X846]: 26.84/4.47 (in( 26.84/4.47 X846,X842) => 26.84/4.47 in( 26.84/4.47 kpair( 26.84/4.47 X844,X846), 26.84/4.47 powerset( 26.84/4.47 powerset( 26.84/4.47 binunion( 26.84/4.47 X840,X842)))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X848, 26.84/4.47 X850,X852]: 26.84/4.47 (in( 26.84/4.47 X852,X848) => 26.84/4.47 (![X854]: 26.84/4.47 (in( 26.84/4.47 X854,X850) => 26.84/4.47 in( 26.84/4.47 kpair( 26.84/4.47 X852,X854), 26.84/4.47 cartprod( 26.84/4.47 X848,X850)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X856, 26.84/4.47 X858,X860]: 26.84/4.47 (in( 26.84/4.47 X860, 26.84/4.47 cartprod( 26.84/4.47 X856,X858)) => 26.84/4.47 (?[X862]: 26.84/4.47 (in( 26.84/4.47 X862,X856) & 26.84/4.47 (?[X864]: 26.84/4.47 (in( 26.84/4.47 X864,X858) & 26.84/4.47 (X860 = 26.84/4.47 kpair( 26.84/4.47 X862,X864)))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X866, 26.84/4.47 X868,X870]: 26.84/4.47 (in( 26.84/4.47 X870, 26.84/4.47 cartprod( 26.84/4.47 X866,X868)) => 26.84/4.47 iskpair( 26.84/4.47 X870))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X872, 26.84/4.47 X874]: 26.84/4.47 (in( 26.84/4.47 X874, 26.84/4.47 setunion( 26.84/4.47 X872)) => 26.84/4.47 (?[X876]: 26.84/4.47 (in( 26.84/4.47 X876,X872) & 26.84/4.47 in( 26.84/4.47 X874,X876))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X878]: 26.84/4.47 subset( 26.84/4.47 setunion( 26.84/4.47 setadjoin( 26.84/4.47 X878, 26.84/4.47 emptyset)), 26.84/4.47 X878)) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X880]: 26.84/4.47 subset( 26.84/4.47 X880, 26.84/4.47 setunion( 26.84/4.47 setadjoin( 26.84/4.47 X880, 26.84/4.47 emptyset)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X882]: 26.84/4.47 (setunion( 26.84/4.47 setadjoin( 26.84/4.47 X882, 26.84/4.47 emptyset)) = 26.84/4.47 X882)) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X884, 26.84/4.47 X886:( 26.84/4.47 ( 26.84/4.47 $i > $o))]: 26.84/4.47 (( 26.84/4.47 ![X888]: 26.84/4.47 (in( 26.84/4.47 X888,X884) => 26.84/4.47 (![X890]: 26.84/4.47 (in( 26.84/4.47 X890,X884) => 26.84/4.47 (X886( 26.84/4.47 X888) => 26.84/4.47 (X886( 26.84/4.47 X890) => 26.84/4.47 (X888 = 26.84/4.47 X890))))))) => 26.84/4.47 (( 26.84/4.47 ?[X892]: 26.84/4.47 (in( 26.84/4.47 X892,X884) & 26.84/4.47 X886( 26.84/4.47 X892))) => 26.84/4.47 singleton( 26.84/4.47 dsetconstr( 26.84/4.47 X884, 26.84/4.47 ^[V_15]: 26.84/4.47 X886( 26.84/4.47 V_15)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X894, 26.84/4.47 X896:( 26.84/4.47 ( 26.84/4.47 $i > $o))]: 26.84/4.47 (ex1( 26.84/4.47 X894, 26.84/4.47 ^[V_16]: 26.84/4.47 X896( 26.84/4.47 V_16)) => 26.84/4.47 (?[X898]: 26.84/4.47 (in( 26.84/4.47 X898,X894) & 26.84/4.47 X896( 26.84/4.47 X898))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X900, 26.84/4.47 X902:( 26.84/4.47 ( 26.84/4.47 $i > $o)), 26.84/4.47 X904]: 26.84/4.47 (in( 26.84/4.47 X904,X900) => 26.84/4.47 (X902( 26.84/4.47 X904) => 26.84/4.47 (( 26.84/4.47 ![X906]: 26.84/4.47 (in( 26.84/4.47 X906,X900) => 26.84/4.47 (X902( 26.84/4.47 X906) => 26.84/4.47 (X906 = 26.84/4.47 X904)))) => 26.84/4.47 ex1( 26.84/4.47 X900, 26.84/4.47 ^[V_17]: 26.84/4.47 X902( 26.84/4.47 V_17)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X908, 26.84/4.47 X910:( 26.84/4.47 ( 26.84/4.47 $i > $o))]: 26.84/4.47 (( 26.84/4.47 ![X912]: 26.84/4.47 (in( 26.84/4.47 X912,X908) => 26.84/4.47 (![X914]: 26.84/4.47 (in( 26.84/4.47 X914,X908) => 26.84/4.47 (X910( 26.84/4.47 X912) => 26.84/4.47 (X910( 26.84/4.47 X914) => 26.84/4.47 (X912 = 26.84/4.47 X914))))))) => 26.84/4.47 (( 26.84/4.47 ?[X916]: 26.84/4.47 (in( 26.84/4.47 X916,X908) & 26.84/4.47 X910( 26.84/4.47 X916))) => 26.84/4.47 ex1( 26.84/4.47 X908, 26.84/4.47 ^[V_18]: 26.84/4.47 X910( 26.84/4.47 V_18))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X918, 26.84/4.47 X920]: 26.84/4.47 (( 26.84/4.47 setadjoin( 26.84/4.47 X918, 26.84/4.47 emptyset) = 26.84/4.47 setadjoin( 26.84/4.47 X920, 26.84/4.47 emptyset)) => 26.84/4.47 (X918 = 26.84/4.47 X920))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X922, 26.84/4.47 X924,X926]: 26.84/4.47 (in( 26.84/4.47 setadjoin( 26.84/4.47 X926, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X922, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X922, 26.84/4.47 setadjoin( 26.84/4.47 X924, 26.84/4.47 emptyset)), 26.84/4.47 emptyset))) => 26.84/4.47 (X922 = 26.84/4.47 X926))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X928]: 26.84/4.47 (iskpair( 26.84/4.47 X928) => 26.84/4.47 singleton( 26.84/4.47 dsetconstr( 26.84/4.47 setunion( 26.84/4.47 X928), 26.84/4.47 ^[V_19]: 26.84/4.47 in( 26.84/4.47 setadjoin( 26.84/4.47 V_19, 26.84/4.47 emptyset), 26.84/4.47 X928))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X930]: 26.84/4.47 (singleton( 26.84/4.47 X930) => 26.84/4.47 in( 26.84/4.47 setunion( 26.84/4.47 X930), 26.84/4.47 X930))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X932, 26.84/4.47 X934]: 26.84/4.47 (kfst( 26.84/4.47 kpair( 26.84/4.47 X932,X934)) = 26.84/4.47 X932)) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X936, 26.84/4.47 X938,X940]: 26.84/4.47 (in( 26.84/4.47 X940, 26.84/4.47 cartprod( 26.84/4.47 X936,X938)) => 26.84/4.47 in( 26.84/4.47 kfst( 26.84/4.47 X940), 26.84/4.47 X936))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X942, 26.84/4.47 X944, 26.84/4.47 X946,X948]: 26.84/4.47 (( 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X942, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X942, 26.84/4.47 setadjoin( 26.84/4.47 X944, 26.84/4.47 emptyset)), 26.84/4.47 emptyset)) = 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X946, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X946, 26.84/4.47 setadjoin( 26.84/4.47 X948, 26.84/4.47 emptyset)), 26.84/4.47 emptyset))) => 26.84/4.47 (X942 = 26.84/4.47 X946))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X950, 26.84/4.47 X952, 26.84/4.47 X954,X956]: 26.84/4.47 (( 26.84/4.47 kpair( 26.84/4.47 X950,X952) = 26.84/4.47 kpair( 26.84/4.47 X954,X956)) => 26.84/4.47 (X950 = 26.84/4.47 X954))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X958, 26.84/4.47 X960]: 26.84/4.47 (( 26.84/4.47 X958 = 26.84/4.47 X960) => 26.84/4.47 (setadjoin( 26.84/4.47 X958, 26.84/4.47 setadjoin( 26.84/4.47 X960, 26.84/4.47 emptyset)) = 26.84/4.47 setadjoin( 26.84/4.47 X958, 26.84/4.47 emptyset)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X962, 26.84/4.47 X964]: 26.84/4.47 (( 26.84/4.47 X962 = 26.84/4.47 X964) => 26.84/4.47 (setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X962, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X962, 26.84/4.47 setadjoin( 26.84/4.47 X964, 26.84/4.47 emptyset)), 26.84/4.47 emptyset)) = 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X962, 26.84/4.47 emptyset), 26.84/4.47 emptyset)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X966, 26.84/4.47 X968, 26.84/4.47 X970,X972]: 26.84/4.47 (( 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X966, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X966, 26.84/4.47 setadjoin( 26.84/4.47 X968, 26.84/4.47 emptyset)), 26.84/4.47 emptyset)) = 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X970, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X970, 26.84/4.47 setadjoin( 26.84/4.47 X972, 26.84/4.47 emptyset)), 26.84/4.47 emptyset))) => 26.84/4.47 (( 26.84/4.47 X970 = 26.84/4.47 X972) => 26.84/4.47 (X968 = 26.84/4.47 X972)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X974, 26.84/4.47 X976,X978]: 26.84/4.47 (( 26.84/4.47 setadjoin( 26.84/4.47 X974, 26.84/4.47 setadjoin( 26.84/4.47 X976, 26.84/4.47 emptyset)) = 26.84/4.47 setadjoin( 26.84/4.47 X978, 26.84/4.47 emptyset)) => 26.84/4.47 (X974 = 26.84/4.47 X976))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X980, 26.84/4.47 X982, 26.84/4.47 X984,X986]: 26.84/4.47 (( 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X980, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X980, 26.84/4.47 setadjoin( 26.84/4.47 X982, 26.84/4.47 emptyset)), 26.84/4.47 emptyset)) = 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X984, 26.84/4.47 emptyset), 26.84/4.47 setadjoin( 26.84/4.47 setadjoin( 26.84/4.47 X984, 26.84/4.47 setadjoin( 26.84/4.47 X986, 26.84/4.47 emptyset)), 26.84/4.47 emptyset))) => 26.84/4.47 (X982 = 26.84/4.47 X986))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X988, 26.84/4.47 X990, 26.84/4.47 X992,X994]: 26.84/4.47 (( 26.84/4.47 kpair( 26.84/4.47 X988,X990) = 26.84/4.47 kpair( 26.84/4.47 X992,X994)) => 26.84/4.47 (X990 = 26.84/4.47 X994))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X996]: 26.84/4.47 (iskpair( 26.84/4.47 X996) => 26.84/4.47 singleton( 26.84/4.47 dsetconstr( 26.84/4.47 setunion( 26.84/4.47 X996), 26.84/4.47 ^[V_20]: 26.84/4.47 (X996 = 26.84/4.47 kpair( 26.84/4.47 kfst( 26.84/4.47 X996), 26.84/4.47 V_20)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X998, 26.84/4.47 X1000]: 26.84/4.47 (ksnd( 26.84/4.47 kpair( 26.84/4.47 X998, 26.84/4.47 X1000)) = 26.84/4.47 X1000)) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1002]: 26.84/4.47 (iskpair( 26.84/4.47 X1002) => 26.84/4.47 (kpair( 26.84/4.47 kfst( 26.84/4.47 X1002), 26.84/4.47 ksnd( 26.84/4.47 X1002)) = 26.84/4.47 X1002))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1004, 26.84/4.47 X1006, 26.84/4.47 X1008]: 26.84/4.47 (in( 26.84/4.47 X1008, 26.84/4.47 cartprod( 26.84/4.47 X1004, 26.84/4.47 X1006)) => 26.84/4.47 in( 26.84/4.47 ksnd( 26.84/4.47 X1008), 26.84/4.47 X1006))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1010, 26.84/4.47 X1012, 26.84/4.47 X1014, 26.84/4.47 X1016]: 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1014, 26.84/4.47 X1016), 26.84/4.47 cartprod( 26.84/4.47 X1010, 26.84/4.47 X1012)) => 26.84/4.47 in( 26.84/4.47 X1014, 26.84/4.47 X1010))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1018, 26.84/4.47 X1020, 26.84/4.47 X1022, 26.84/4.47 X1024]: 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1022, 26.84/4.47 X1024), 26.84/4.47 cartprod( 26.84/4.47 X1018, 26.84/4.47 X1020)) => 26.84/4.47 in( 26.84/4.47 X1024, 26.84/4.47 X1020))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1026, 26.84/4.47 X1028, 26.84/4.47 X1030]: 26.84/4.47 (in( 26.84/4.47 X1030, 26.84/4.47 X1026) => 26.84/4.47 (![X1032]: 26.84/4.47 (in( 26.84/4.47 X1032, 26.84/4.47 X1028) => 26.84/4.47 (kpair( 26.84/4.47 X1030, 26.84/4.47 X1032) = 26.84/4.47 kpair( 26.84/4.47 X1030, 26.84/4.47 X1032)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1034, 26.84/4.47 X1036, 26.84/4.47 X1038]: 26.84/4.47 (in( 26.84/4.47 X1038, 26.84/4.47 X1034) => 26.84/4.47 (![X1040]: 26.84/4.47 (in( 26.84/4.47 X1040, 26.84/4.47 X1036) => 26.84/4.47 (kfst( 26.84/4.47 kpair( 26.84/4.47 X1038, 26.84/4.47 X1040)) = 26.84/4.47 X1038))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1042, 26.84/4.47 X1044, 26.84/4.47 X1046]: 26.84/4.47 (in( 26.84/4.47 X1046, 26.84/4.47 X1042) => 26.84/4.47 (![X1048]: 26.84/4.47 (in( 26.84/4.47 X1048, 26.84/4.47 X1044) => 26.84/4.47 (ksnd( 26.84/4.47 kpair( 26.84/4.47 X1046, 26.84/4.47 X1048)) = 26.84/4.47 X1048))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1050, 26.84/4.47 X1052, 26.84/4.47 X1054]: 26.84/4.47 (in( 26.84/4.47 X1054, 26.84/4.47 cartprod( 26.84/4.47 X1050, 26.84/4.47 X1052)) => 26.84/4.47 (kpair( 26.84/4.47 kfst( 26.84/4.47 X1054), 26.84/4.47 ksnd( 26.84/4.47 X1054)) = 26.84/4.47 X1054))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1056, 26.84/4.47 X1058, 26.84/4.47 X1060:( 26.84/4.47 ($i * $i) > 26.84/4.47 $o),X1062]: 26.84/4.47 (in( 26.84/4.47 X1062, 26.84/4.47 X1056) => 26.84/4.47 (![X1064]: 26.84/4.47 (in( 26.84/4.47 X1064, 26.84/4.47 X1058) => 26.84/4.47 (X1060( 26.84/4.47 X1062, 26.84/4.47 X1064) => 26.84/4.47 in( 26.84/4.47 kpair( 26.84/4.47 X1062, 26.84/4.47 X1064), 26.84/4.47 dpsetconstr( 26.84/4.47 X1056, 26.84/4.47 X1058, 26.84/4.47 ^[V_21, 26.84/4.47 V_22]: 26.84/4.47 X1060( 26.84/4.47 V_21,V_22)))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1066, 26.84/4.47 X1068, 26.84/4.47 X1070:( 26.84/4.47 ($i * $i) > 26.84/4.47 $o)]: 26.84/4.47 subset( 26.84/4.47 dpsetconstr( 26.84/4.47 X1066, 26.84/4.47 X1068, 26.84/4.47 ^[V_23, 26.84/4.47 V_24]: 26.84/4.47 X1070( 26.84/4.47 V_23,V_24)), 26.84/4.47 cartprod( 26.84/4.47 X1066, 26.84/4.47 X1068))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1072, 26.84/4.47 X1074, 26.84/4.47 X1076:( 26.84/4.47 ($i * $i) > 26.84/4.47 $o)]: 26.84/4.47 breln( 26.84/4.47 X1072, 26.84/4.47 X1074, 26.84/4.47 dpsetconstr( 26.84/4.47 X1072, 26.84/4.47 X1074, 26.84/4.47 ^[V_25, 26.84/4.47 V_26]: 26.84/4.47 X1076( 26.84/4.47 V_25,V_26)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1078, 26.84/4.47 X1080, 26.84/4.47 X1082:( 26.84/4.47 ($i * $i) > 26.84/4.47 $o),X1084]: 26.84/4.47 (in( 26.84/4.47 X1084, 26.84/4.47 X1078) => 26.84/4.47 (![X1086]: 26.84/4.47 (in( 26.84/4.47 X1086, 26.84/4.47 X1080) => 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1084, 26.84/4.47 X1086), 26.84/4.47 dpsetconstr( 26.84/4.47 X1078, 26.84/4.47 X1080, 26.84/4.47 ^[V_27, 26.84/4.47 V_28]: 26.84/4.47 X1082( 26.84/4.47 V_27,V_28))) => 26.84/4.47 X1082( 26.84/4.47 X1084, 26.84/4.47 X1086)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1088, 26.84/4.47 X1090, 26.84/4.47 X1092:( 26.84/4.47 ($i * $i) > 26.84/4.47 $o), 26.84/4.47 X1094, 26.84/4.47 X1096]: 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1094, 26.84/4.47 X1096), 26.84/4.47 dpsetconstr( 26.84/4.47 X1088, 26.84/4.47 X1090, 26.84/4.47 ^[V_29, 26.84/4.47 V_30]: 26.84/4.47 X1092( 26.84/4.47 V_29,V_30))) => 26.84/4.47 in( 26.84/4.47 X1094, 26.84/4.47 X1088))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1098, 26.84/4.47 X1100, 26.84/4.47 X1102:( 26.84/4.47 ($i * $i) > 26.84/4.47 $o), 26.84/4.47 X1104, 26.84/4.47 X1106]: 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1104, 26.84/4.47 X1106), 26.84/4.47 dpsetconstr( 26.84/4.47 X1098, 26.84/4.47 X1100, 26.84/4.47 ^[V_31, 26.84/4.47 V_32]: 26.84/4.47 X1102( 26.84/4.47 V_31,V_32))) => 26.84/4.47 in( 26.84/4.47 X1106, 26.84/4.47 X1100))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1108, 26.84/4.47 X1110, 26.84/4.47 X1112:( 26.84/4.47 ($i * $i) > 26.84/4.47 $o), 26.84/4.47 X1114, 26.84/4.47 X1116]: 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1114, 26.84/4.47 X1116), 26.84/4.47 dpsetconstr( 26.84/4.47 X1108, 26.84/4.47 X1110, 26.84/4.47 ^[V_33, 26.84/4.47 V_34]: 26.84/4.47 X1112( 26.84/4.47 V_33,V_34))) => 26.84/4.47 X1112( 26.84/4.47 X1114, 26.84/4.47 X1116))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1118, 26.84/4.47 X1120, 26.84/4.47 X1122]: 26.84/4.47 (func( 26.84/4.47 X1118, 26.84/4.47 X1120, 26.84/4.47 X1122) => 26.84/4.47 (![X1124]: 26.84/4.47 (in( 26.84/4.47 X1124, 26.84/4.47 X1118) => 26.84/4.47 singleton( 26.84/4.47 dsetconstr( 26.84/4.47 X1120, 26.84/4.47 ^[V_35]: 26.84/4.47 in( 26.84/4.47 kpair( 26.84/4.47 X1124, 26.84/4.47 V_35), 26.84/4.47 X1122))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1126, 26.84/4.47 X1128, 26.84/4.47 X1130]: 26.84/4.47 (func( 26.84/4.47 X1126, 26.84/4.47 X1128, 26.84/4.47 X1130) => 26.84/4.47 (![X1132]: 26.84/4.47 (in( 26.84/4.47 X1132, 26.84/4.47 X1126) => 26.84/4.47 in( 26.84/4.47 setunion( 26.84/4.47 dsetconstr( 26.84/4.47 X1128, 26.84/4.47 ^[V_36]: 26.84/4.47 in( 26.84/4.47 kpair( 26.84/4.47 X1132, 26.84/4.47 V_36), 26.84/4.47 X1130))), 26.84/4.47 X1128))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1134, 26.84/4.47 X1136, 26.84/4.47 X1138]: 26.84/4.47 (func( 26.84/4.47 X1134, 26.84/4.47 X1136, 26.84/4.47 X1138) => 26.84/4.47 (![X1140]: 26.84/4.47 (in( 26.84/4.47 X1140, 26.84/4.47 X1134) => 26.84/4.47 in( 26.84/4.47 ap( 26.84/4.47 X1134, 26.84/4.47 X1136, 26.84/4.47 X1138, 26.84/4.47 X1140), 26.84/4.47 X1136))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1142, 26.84/4.47 X1144, 26.84/4.47 X1146]: 26.84/4.47 (in( 26.84/4.47 X1146, 26.84/4.47 funcSet( 26.84/4.47 X1142, 26.84/4.47 X1144)) => 26.84/4.47 func( 26.84/4.47 X1142, 26.84/4.47 X1144, 26.84/4.47 X1146))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1148, 26.84/4.47 X1150, 26.84/4.47 X1152]: 26.84/4.47 (in( 26.84/4.47 X1152, 26.84/4.47 funcSet( 26.84/4.47 X1148, 26.84/4.47 X1150)) => 26.84/4.47 (![X1154]: 26.84/4.47 (in( 26.84/4.47 X1154, 26.84/4.47 X1148) => 26.84/4.47 in( 26.84/4.47 ap( 26.84/4.47 X1148, 26.84/4.47 X1150, 26.84/4.47 X1152, 26.84/4.47 X1154), 26.84/4.47 X1150))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1156, 26.84/4.47 X1158, 26.84/4.47 X1160]: 26.84/4.47 (func( 26.84/4.47 X1156, 26.84/4.47 X1158, 26.84/4.47 X1160) => 26.84/4.47 in( 26.84/4.47 X1160, 26.84/4.47 funcSet( 26.84/4.47 X1156, 26.84/4.47 X1158)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1162, 26.84/4.47 X1164, 26.84/4.47 X1166:( 26.84/4.47 ( 26.84/4.47 $i > $i))]: 26.84/4.47 (( 26.84/4.47 ![X1168]: 26.84/4.47 (in( 26.84/4.47 X1168, 26.84/4.47 X1162) => 26.84/4.47 in( 26.84/4.47 X1166( 26.84/4.47 X1168), 26.84/4.47 X1164))) => 26.84/4.47 func( 26.84/4.47 X1162, 26.84/4.47 X1164, 26.84/4.47 dpsetconstr( 26.84/4.47 X1162, 26.84/4.47 X1164, 26.84/4.47 ^[V_37, 26.84/4.47 V_38]: 26.84/4.47 (X1166( 26.84/4.47 V_37) = 26.84/4.47 V_38))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1170, 26.84/4.47 X1172, 26.84/4.47 X1174:( 26.84/4.47 ( 26.84/4.47 $i > $i))]: 26.84/4.47 (( 26.84/4.47 ![X1176]: 26.84/4.47 (in( 26.84/4.47 X1176, 26.84/4.47 X1170) => 26.84/4.47 in( 26.84/4.47 X1174( 26.84/4.47 X1176), 26.84/4.47 X1172))) => 26.84/4.47 func( 26.84/4.47 X1170, 26.84/4.47 X1172, 26.84/4.47 lam( 26.84/4.47 X1170, 26.84/4.47 X1172, 26.84/4.47 ^[V_39]: 26.84/4.47 X1174( 26.84/4.47 V_39))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1178, 26.84/4.47 X1180, 26.84/4.47 X1182:( 26.84/4.47 ( 26.84/4.47 $i > $i))]: 26.84/4.47 (( 26.84/4.47 ![X1184]: 26.84/4.47 (in( 26.84/4.47 X1184, 26.84/4.47 X1178) => 26.84/4.47 in( 26.84/4.47 X1182( 26.84/4.47 X1184), 26.84/4.47 X1180))) => 26.84/4.47 in( 26.84/4.47 lam( 26.84/4.47 X1178, 26.84/4.47 X1180, 26.84/4.47 ^[V_40]: 26.84/4.47 X1182( 26.84/4.47 V_40)), 26.84/4.47 funcSet( 26.84/4.47 X1178, 26.84/4.47 X1180)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1186, 26.84/4.47 X1188, 26.84/4.47 X1190]: 26.84/4.47 (breln( 26.84/4.47 X1186, 26.84/4.47 X1188, 26.84/4.47 X1190) => 26.84/4.47 (![X1192:( 26.84/4.47 ( 26.84/4.47 $i > $o))]: 26.84/4.47 (( 26.84/4.47 ![X1194]: 26.84/4.47 (in( 26.84/4.47 X1194, 26.84/4.47 X1186) => 26.84/4.47 (![X1196]: 26.84/4.47 (in( 26.84/4.47 X1196, 26.84/4.47 X1188) => 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1194, 26.84/4.47 X1196), 26.84/4.47 X1190) => 26.84/4.47 X1192( 26.84/4.47 kpair( 26.84/4.47 X1194, 26.84/4.47 X1196))))))) => 26.84/4.47 (![X1198]: 26.84/4.47 (in( 26.84/4.47 X1198, 26.84/4.47 X1190) => 26.84/4.47 X1192( 26.84/4.47 X1198))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1200, 26.84/4.47 X1202, 26.84/4.47 X1204]: 26.84/4.47 (breln( 26.84/4.47 X1200, 26.84/4.47 X1202, 26.84/4.47 X1204) => 26.84/4.47 (![X1206:( 26.84/4.47 ( 26.84/4.47 $i > $o))]: 26.84/4.47 (( 26.84/4.47 ![X1208]: 26.84/4.47 (in( 26.84/4.47 X1208, 26.84/4.47 X1200) => 26.84/4.47 (![X1210]: 26.84/4.47 (in( 26.84/4.47 X1210, 26.84/4.47 X1202) => 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1208, 26.84/4.47 X1210), 26.84/4.47 X1204) => 26.84/4.47 X1206( 26.84/4.47 kpair( 26.84/4.47 X1208, 26.84/4.47 X1210))))))) => 26.84/4.47 (![X1212]: 26.84/4.47 (in( 26.84/4.47 X1212, 26.84/4.47 X1204) => 26.84/4.47 X1206( 26.84/4.47 X1212))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1214, 26.84/4.47 X1216:( 26.84/4.47 ( 26.84/4.47 $i > $o))]: 26.84/4.47 (ex1( 26.84/4.47 X1214, 26.84/4.47 ^[V_41]: 26.84/4.47 X1216( 26.84/4.47 V_41)) => 26.84/4.47 (![X1218]: 26.84/4.47 (in( 26.84/4.47 X1218, 26.84/4.47 X1214) => 26.84/4.47 (![X1220]: 26.84/4.47 (in( 26.84/4.47 X1220, 26.84/4.47 X1214) => 26.84/4.47 (X1216( 26.84/4.47 X1218) => 26.84/4.47 (X1216( 26.84/4.47 X1220) => 26.84/4.47 (X1218 = 26.84/4.47 X1220))))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1222, 26.84/4.47 X1224, 26.84/4.47 X1226]: 26.84/4.47 (func( 26.84/4.47 X1222, 26.84/4.47 X1224, 26.84/4.47 X1226) => 26.84/4.47 (![X1228]: 26.84/4.47 (in( 26.84/4.47 X1228, 26.84/4.47 X1222) => 26.84/4.47 in( 26.84/4.47 kpair( 26.84/4.47 X1228, 26.84/4.47 ap( 26.84/4.47 X1222, 26.84/4.47 X1224, 26.84/4.47 X1226, 26.84/4.47 X1228)), 26.84/4.47 X1226))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1230, 26.84/4.47 X1232, 26.84/4.47 X1234]: 26.84/4.47 (in( 26.84/4.47 X1234, 26.84/4.47 funcSet( 26.84/4.47 X1230, 26.84/4.47 X1232)) => 26.84/4.47 (![X1236]: 26.84/4.47 (in( 26.84/4.47 X1236, 26.84/4.47 X1230) => 26.84/4.47 in( 26.84/4.47 kpair( 26.84/4.47 X1236, 26.84/4.47 ap( 26.84/4.47 X1230, 26.84/4.47 X1232, 26.84/4.47 X1234, 26.84/4.47 X1236)), 26.84/4.47 X1234))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1238, 26.84/4.47 X1240, 26.84/4.47 X1242]: 26.84/4.47 (func( 26.84/4.47 X1238, 26.84/4.47 X1240, 26.84/4.47 X1242) => 26.84/4.47 (![X1244]: 26.84/4.47 (in( 26.84/4.47 X1244, 26.84/4.47 X1238) => 26.84/4.47 (![X1246]: 26.84/4.47 (in( 26.84/4.47 X1246, 26.84/4.47 X1240) => 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1244, 26.84/4.47 X1246), 26.84/4.47 X1242) => 26.84/4.47 (ap( 26.84/4.47 X1238, 26.84/4.47 X1240, 26.84/4.47 X1242, 26.84/4.47 X1244) = 26.84/4.47 X1246)))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1248, 26.84/4.47 X1250, 26.84/4.47 X1252]: 26.84/4.47 (func( 26.84/4.47 X1248, 26.84/4.47 X1250, 26.84/4.47 X1252) => 26.84/4.47 (![X1254]: 26.84/4.47 (func( 26.84/4.47 X1248, 26.84/4.47 X1250, 26.84/4.47 X1254) => 26.84/4.47 (( 26.84/4.47 ![X1256]: 26.84/4.47 (in( 26.84/4.47 X1256, 26.84/4.47 X1248) => 26.84/4.47 (ap( 26.84/4.47 X1248, 26.84/4.47 X1250, 26.84/4.47 X1252, 26.84/4.47 X1256) = 26.84/4.47 ap( 26.84/4.47 X1248, 26.84/4.47 X1250, 26.84/4.47 X1254, 26.84/4.47 X1256)))) => 26.84/4.47 (![X1258]: 26.84/4.47 (in( 26.84/4.47 X1258, 26.84/4.47 X1248) => 26.84/4.47 (![X1260]: 26.84/4.47 (in( 26.84/4.47 X1260, 26.84/4.47 X1250) => 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1258, 26.84/4.47 X1260), 26.84/4.47 X1254) => 26.84/4.47 in( 26.84/4.47 kpair( 26.84/4.47 X1258, 26.84/4.47 X1260), 26.84/4.47 X1252))))))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1262, 26.84/4.47 X1264, 26.84/4.47 X1266]: 26.84/4.47 (in( 26.84/4.47 X1266, 26.84/4.47 funcSet( 26.84/4.47 X1262, 26.84/4.47 X1264)) => 26.84/4.47 (![X1268]: 26.84/4.47 (in( 26.84/4.47 X1268, 26.84/4.47 X1262) => 26.84/4.47 (![X1270]: 26.84/4.47 (in( 26.84/4.47 X1270, 26.84/4.47 X1264) => 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1268, 26.84/4.47 X1270), 26.84/4.47 X1266) => 26.84/4.47 (ap( 26.84/4.47 X1262, 26.84/4.47 X1264, 26.84/4.47 X1266, 26.84/4.47 X1268) = 26.84/4.47 X1270)))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1272, 26.84/4.47 X1274, 26.84/4.47 X1276]: 26.84/4.47 (breln( 26.84/4.47 X1272, 26.84/4.47 X1274, 26.84/4.47 X1276) => 26.84/4.47 (![X1278]: 26.84/4.47 (breln( 26.84/4.47 X1272, 26.84/4.47 X1274, 26.84/4.47 X1278) => 26.84/4.47 (( 26.84/4.47 ![X1280]: 26.84/4.47 (in( 26.84/4.47 X1280, 26.84/4.47 X1272) => 26.84/4.47 (![X1282]: 26.84/4.47 (in( 26.84/4.47 X1282, 26.84/4.47 X1274) => 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1280, 26.84/4.47 X1282), 26.84/4.47 X1276) => 26.84/4.47 in( 26.84/4.47 kpair( 26.84/4.47 X1280, 26.84/4.47 X1282), 26.84/4.47 X1278)))))) => 26.84/4.47 subset( 26.84/4.47 X1276, 26.84/4.47 X1278)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1284, 26.84/4.47 X1286, 26.84/4.47 X1288]: 26.84/4.47 (breln( 26.84/4.47 X1284, 26.84/4.47 X1286, 26.84/4.47 X1288) => 26.84/4.47 (![X1290]: 26.84/4.47 (breln( 26.84/4.47 X1284, 26.84/4.47 X1286, 26.84/4.47 X1290) => 26.84/4.47 (( 26.84/4.47 ![X1292]: 26.84/4.47 (in( 26.84/4.47 X1292, 26.84/4.47 X1284) => 26.84/4.47 (![X1294]: 26.84/4.47 (in( 26.84/4.47 X1294, 26.84/4.47 X1286) => 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1292, 26.84/4.47 X1294), 26.84/4.47 X1288) => 26.84/4.47 in( 26.84/4.47 kpair( 26.84/4.47 X1292, 26.84/4.47 X1294), 26.84/4.47 X1290)))))) => 26.84/4.47 (( 26.84/4.47 ![X1296]: 26.84/4.47 (in( 26.84/4.47 X1296, 26.84/4.47 X1284) => 26.84/4.47 (![X1298]: 26.84/4.47 (in( 26.84/4.47 X1298, 26.84/4.47 X1286) => 26.84/4.47 (in( 26.84/4.47 kpair( 26.84/4.47 X1296, 26.84/4.47 X1298), 26.84/4.47 X1290) => 26.84/4.47 in( 26.84/4.47 kpair( 26.84/4.47 X1296, 26.84/4.47 X1298), 26.84/4.47 X1288)))))) => 26.84/4.47 (X1288 = 26.84/4.47 X1290))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1300, 26.84/4.47 X1302, 26.84/4.47 X1304]: 26.84/4.47 (func( 26.84/4.47 X1300, 26.84/4.47 X1302, 26.84/4.47 X1304) => 26.84/4.47 (![X1306]: 26.84/4.47 (func( 26.84/4.47 X1300, 26.84/4.47 X1302, 26.84/4.47 X1306) => 26.84/4.47 (( 26.84/4.47 ![X1308]: 26.84/4.47 (in( 26.84/4.47 X1308, 26.84/4.47 X1300) => 26.84/4.47 (ap( 26.84/4.47 X1300, 26.84/4.47 X1302, 26.84/4.47 X1304, 26.84/4.47 X1308) = 26.84/4.47 ap( 26.84/4.47 X1300, 26.84/4.47 X1302, 26.84/4.47 X1306, 26.84/4.47 X1308)))) => 26.84/4.47 (X1304 = 26.84/4.47 X1306)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1310, 26.84/4.47 X1312, 26.84/4.47 X1314]: 26.84/4.47 (in( 26.84/4.47 X1314, 26.84/4.47 funcSet( 26.84/4.47 X1310, 26.84/4.47 X1312)) => 26.84/4.47 (![X1316]: 26.84/4.47 (in( 26.84/4.47 X1316, 26.84/4.47 funcSet( 26.84/4.47 X1310, 26.84/4.47 X1312)) => 26.84/4.47 (( 26.84/4.47 ![X1318]: 26.84/4.47 (in( 26.84/4.47 X1318, 26.84/4.47 X1310) => 26.84/4.47 (ap( 26.84/4.47 X1310, 26.84/4.47 X1312, 26.84/4.47 X1314, 26.84/4.47 X1318) = 26.84/4.47 ap( 26.84/4.47 X1310, 26.84/4.47 X1312, 26.84/4.47 X1316, 26.84/4.47 X1318)))) => 26.84/4.47 (X1314 = 26.84/4.47 X1316)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1320, 26.84/4.47 X1322, 26.84/4.47 X1324]: 26.84/4.47 (in( 26.84/4.47 X1324, 26.84/4.47 funcSet( 26.84/4.47 X1320, 26.84/4.47 X1322)) => 26.84/4.47 (![X1326]: 26.84/4.47 (in( 26.84/4.47 X1326, 26.84/4.47 X1320) => 26.84/4.47 (ap( 26.84/4.47 X1320, 26.84/4.47 X1322, 26.84/4.47 X1324, 26.84/4.47 X1326) = 26.84/4.47 ap( 26.84/4.47 X1320, 26.84/4.47 X1322, 26.84/4.47 X1324, 26.84/4.47 X1326)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1328, 26.84/4.47 X1330, 26.84/4.47 X1332]: 26.84/4.47 (func( 26.84/4.47 X1328, 26.84/4.47 X1330, 26.84/4.47 X1332) => 26.84/4.47 (![X1334]: 26.84/4.47 (in( 26.84/4.47 X1334, 26.84/4.47 X1328) => 26.84/4.47 (ap( 26.84/4.47 X1328, 26.84/4.47 X1330, 26.84/4.47 X1332, 26.84/4.47 X1334) = 26.84/4.47 ap( 26.84/4.47 X1328, 26.84/4.47 X1330, 26.84/4.47 X1332, 26.84/4.47 X1334)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1336, 26.84/4.47 X1338, 26.84/4.47 X1340:( 26.84/4.47 ( 26.84/4.47 $i > $i))]: 26.84/4.47 (( 26.84/4.47 ![X1342]: 26.84/4.47 (in( 26.84/4.47 X1342, 26.84/4.47 X1336) => 26.84/4.47 in( 26.84/4.47 X1340( 26.84/4.47 X1342), 26.84/4.47 X1338))) => 26.84/4.47 (![X1344]: 26.84/4.47 (in( 26.84/4.47 X1344, 26.84/4.47 X1336) => 26.84/4.47 (ap( 26.84/4.47 X1336, 26.84/4.47 X1338, 26.84/4.47 lam( 26.84/4.47 X1336, 26.84/4.47 X1338, 26.84/4.47 ^[V_42]: 26.84/4.47 X1340( 26.84/4.47 V_42)), 26.84/4.47 X1344) = 26.84/4.47 X1340( 26.84/4.47 X1344)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1346, 26.84/4.47 X1348, 26.84/4.47 X1350]: 26.84/4.47 (func( 26.84/4.47 X1346, 26.84/4.47 X1348, 26.84/4.47 X1350) => 26.84/4.47 (lam( 26.84/4.47 X1346, 26.84/4.47 X1348, 26.84/4.47 ^[V_43]: 26.84/4.47 ap( 26.84/4.47 X1346, 26.84/4.47 X1348, 26.84/4.47 X1350, 26.84/4.47 V_43)) = 26.84/4.47 X1350))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1352, 26.84/4.47 X1354, 26.84/4.47 X1356:( 26.84/4.47 ( 26.84/4.47 $i > $i))]: 26.84/4.47 (( 26.84/4.47 ![X1358]: 26.84/4.47 (in( 26.84/4.47 X1358, 26.84/4.47 X1352) => 26.84/4.47 in( 26.84/4.47 X1356( 26.84/4.47 X1358), 26.84/4.47 X1354))) => 26.84/4.47 (lam( 26.84/4.47 X1352, 26.84/4.47 X1354, 26.84/4.47 ^[V_44]: 26.84/4.47 X1356( 26.84/4.47 V_44)) = 26.84/4.47 lam( 26.84/4.47 X1352, 26.84/4.47 X1354, 26.84/4.47 ^[V_45]: 26.84/4.47 X1356( 26.84/4.47 V_45))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1360, 26.84/4.47 X1362, 26.84/4.47 X1364:( 26.84/4.47 ( 26.84/4.47 $i > $i))]: 26.84/4.47 (( 26.84/4.47 ![X1366]: 26.84/4.47 (in( 26.84/4.47 X1366, 26.84/4.47 X1360) => 26.84/4.47 in( 26.84/4.47 X1364( 26.84/4.47 X1366), 26.84/4.47 X1362))) => 26.84/4.47 (![X1368]: 26.84/4.47 (in( 26.84/4.47 X1368, 26.84/4.47 X1360) => 26.84/4.47 (ap( 26.84/4.47 X1360, 26.84/4.47 X1362, 26.84/4.47 lam( 26.84/4.47 X1360, 26.84/4.47 X1362, 26.84/4.47 ^[V_46]: 26.84/4.47 X1364( 26.84/4.47 V_46)), 26.84/4.47 X1368) = 26.84/4.47 X1364( 26.84/4.47 X1368)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1370, 26.84/4.47 X1372, 26.84/4.47 X1374]: 26.84/4.47 (in( 26.84/4.47 X1374, 26.84/4.47 funcSet( 26.84/4.47 X1370, 26.84/4.47 X1372)) => 26.84/4.47 (lam( 26.84/4.47 X1370, 26.84/4.47 X1372, 26.84/4.47 ^[V_47]: 26.84/4.47 ap( 26.84/4.47 X1370, 26.84/4.47 X1372, 26.84/4.47 X1374, 26.84/4.47 V_47)) = 26.84/4.47 X1374))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1376, 26.84/4.47 X1378:$o, 26.84/4.47 X1380]: 26.84/4.47 (in( 26.84/4.47 X1380, 26.84/4.47 X1376) => 26.84/4.47 (![X1382]: 26.84/4.47 (in( 26.84/4.47 X1382, 26.84/4.47 X1376) => 26.84/4.47 (( 26.84/4.47 ~X1378) => 26.84/4.47 in( 26.84/4.47 X1382, 26.84/4.47 dsetconstr( 26.84/4.47 X1376, 26.84/4.47 ^[V_48]: 26.84/4.47 (( 26.84/4.47 ( 26.84/4.47 V_48 = 26.84/4.47 X1382) & 26.84/4.47 ( 26.84/4.47 ~X1378)) | 26.84/4.47 (( 26.84/4.47 V_48 = 26.84/4.47 X1380) & 26.84/4.47 X1378))))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1384, 26.84/4.47 X1386:$o, 26.84/4.47 X1388]: 26.84/4.47 (in( 26.84/4.47 X1388, 26.84/4.47 X1384) => 26.84/4.47 (![X1390]: 26.84/4.47 (in( 26.84/4.47 X1390, 26.84/4.47 X1384) => 26.84/4.47 (( 26.84/4.47 ~X1386) => 26.84/4.47 (dsetconstr( 26.84/4.47 X1384, 26.84/4.47 ^[V_49]: 26.84/4.47 (( 26.84/4.47 ( 26.84/4.47 V_49 = 26.84/4.47 X1390) & 26.84/4.47 ( 26.84/4.47 ~X1386)) | 26.84/4.47 (( 26.84/4.47 V_49 = 26.84/4.47 X1388) & 26.84/4.47 X1386))) = 26.84/4.47 setadjoin( 26.84/4.47 X1390, 26.84/4.47 emptyset))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1392, 26.84/4.47 X1394:$o, 26.84/4.47 X1396]: 26.84/4.47 (in( 26.84/4.47 X1396, 26.84/4.47 X1392) => 26.84/4.47 (![X1398]: 26.84/4.47 (in( 26.84/4.47 X1398, 26.84/4.47 X1392) => 26.84/4.47 (X1394 => 26.84/4.47 in( 26.84/4.47 X1396, 26.84/4.47 dsetconstr( 26.84/4.47 X1392, 26.84/4.47 ^[V_50]: 26.84/4.47 (( 26.84/4.47 ( 26.84/4.47 V_50 = 26.84/4.47 X1398) & 26.84/4.47 ( 26.84/4.47 ~X1394)) | 26.84/4.47 (( 26.84/4.47 V_50 = 26.84/4.47 X1396) & 26.84/4.47 X1394))))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1400, 26.84/4.47 X1402:$o, 26.84/4.47 X1404]: 26.84/4.47 (in( 26.84/4.47 X1404, 26.84/4.47 X1400) => 26.84/4.47 (![X1406]: 26.84/4.47 (in( 26.84/4.47 X1406, 26.84/4.47 X1400) => 26.84/4.47 (X1402 => 26.84/4.47 (dsetconstr( 26.84/4.47 X1400, 26.84/4.47 ^[V_51]: 26.84/4.47 (( 26.84/4.47 ( 26.84/4.47 V_51 = 26.84/4.47 X1406) & 26.84/4.47 ( 26.84/4.47 ~X1402)) | 26.84/4.47 (( 26.84/4.47 V_51 = 26.84/4.47 X1404) & 26.84/4.47 X1402))) = 26.84/4.47 setadjoin( 26.84/4.47 X1404, 26.84/4.47 emptyset))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1408, 26.84/4.47 X1410:$o, 26.84/4.47 X1412]: 26.84/4.47 (in( 26.84/4.47 X1412, 26.84/4.47 X1408) => 26.84/4.47 (![X1414]: 26.84/4.47 (in( 26.84/4.47 X1414, 26.84/4.47 X1408) => 26.84/4.47 singleton( 26.84/4.47 dsetconstr( 26.84/4.47 X1408, 26.84/4.47 ^[V_52]: 26.84/4.47 (( 26.84/4.47 ( 26.84/4.47 V_52 = 26.84/4.47 X1414) & 26.84/4.47 ( 26.84/4.47 ~X1410)) | 26.84/4.47 (( 26.84/4.47 V_52 = 26.84/4.47 X1412) & 26.84/4.47 X1410)))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1416, 26.84/4.47 X1418:$o, 26.84/4.47 X1420]: 26.84/4.47 (in( 26.84/4.47 X1420, 26.84/4.47 X1416) => 26.84/4.47 (![X1422]: 26.84/4.47 (in( 26.84/4.47 X1422, 26.84/4.47 X1416) => 26.84/4.47 in( 26.84/4.47 if( 26.84/4.47 X1416, 26.84/4.47 X1418, 26.84/4.47 X1420, 26.84/4.47 X1422), 26.84/4.47 X1416))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1424]: 26.84/4.47 (singleton( 26.84/4.47 X1424) => 26.84/4.47 (![X1426]: 26.84/4.47 (in( 26.84/4.47 X1426, 26.84/4.47 X1424) => 26.84/4.47 (setunion( 26.84/4.47 X1424) = 26.84/4.47 X1426))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1428, 26.84/4.47 X1430:$o, 26.84/4.47 X1432]: 26.84/4.47 (in( 26.84/4.47 X1432, 26.84/4.47 X1428) => 26.84/4.47 (![X1434]: 26.84/4.47 (in( 26.84/4.47 X1434, 26.84/4.47 X1428) => 26.84/4.47 (X1430 => 26.84/4.47 (if( 26.84/4.47 X1428, 26.84/4.47 X1430, 26.84/4.47 X1432, 26.84/4.47 X1434) = 26.84/4.47 X1432)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1436, 26.84/4.47 X1438:$o, 26.84/4.47 X1440]: 26.84/4.47 (in( 26.84/4.47 X1440, 26.84/4.47 X1436) => 26.84/4.47 (![X1442]: 26.84/4.47 (in( 26.84/4.47 X1442, 26.84/4.47 X1436) => 26.84/4.47 (( 26.84/4.47 ~X1438) => 26.84/4.47 (if( 26.84/4.47 X1436, 26.84/4.47 X1438, 26.84/4.47 X1440, 26.84/4.47 X1442) = 26.84/4.47 X1442)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1444, 26.84/4.47 X1446:$o, 26.84/4.47 X1448]: 26.84/4.47 (in( 26.84/4.47 X1448, 26.84/4.47 X1444) => 26.84/4.47 (![X1450]: 26.84/4.47 (in( 26.84/4.47 X1450, 26.84/4.47 X1444) => 26.84/4.47 in( 26.84/4.47 if( 26.84/4.47 X1444, 26.84/4.47 X1446, 26.84/4.47 X1448, 26.84/4.47 X1450), 26.84/4.47 setadjoin( 26.84/4.47 X1448, 26.84/4.47 setadjoin( 26.84/4.47 X1450, 26.84/4.47 emptyset))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1452, 26.84/4.47 X1454]: 26.84/4.47 (in( 26.84/4.47 X1454, 26.84/4.47 powerset( 26.84/4.47 X1452)) => 26.84/4.47 (![X1456]: 26.84/4.47 (in( 26.84/4.47 X1456, 26.84/4.47 powerset( 26.84/4.47 X1452)) => 26.84/4.47 in( 26.84/4.47 binintersect( 26.84/4.47 X1454, 26.84/4.47 X1456), 26.84/4.47 powerset( 26.84/4.47 X1452)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1458, 26.84/4.47 X1460]: 26.84/4.47 (in( 26.84/4.47 X1460, 26.84/4.47 powerset( 26.84/4.47 X1458)) => 26.84/4.47 (![X1462]: 26.84/4.47 (in( 26.84/4.47 X1462, 26.84/4.47 powerset( 26.84/4.47 X1458)) => 26.84/4.47 in( 26.84/4.47 binunion( 26.84/4.47 X1460, 26.84/4.47 X1462), 26.84/4.47 powerset( 26.84/4.47 X1458)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1464, 26.84/4.47 X1466]: 26.84/4.47 (in( 26.84/4.47 X1466, 26.84/4.47 powerset( 26.84/4.47 X1464)) => 26.84/4.47 in( 26.84/4.47 powerset( 26.84/4.47 X1466), 26.84/4.47 powerset( 26.84/4.47 powerset( 26.84/4.47 X1464))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1468, 26.84/4.47 X1470]: 26.84/4.47 (in( 26.84/4.47 X1470, 26.84/4.47 powerset( 26.84/4.47 X1468)) => 26.84/4.47 (![X1472]: 26.84/4.47 (in( 26.84/4.47 X1472, 26.84/4.47 powerset( 26.84/4.47 X1468)) => 26.84/4.47 in( 26.84/4.47 setminus( 26.84/4.47 X1470, 26.84/4.47 X1472), 26.84/4.47 powerset( 26.84/4.47 X1468)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1474, 26.84/4.47 X1476]: 26.84/4.47 (in( 26.84/4.47 X1476, 26.84/4.47 powerset( 26.84/4.47 X1474)) => 26.84/4.47 in( 26.84/4.47 setminus( 26.84/4.47 X1474, 26.84/4.47 X1476), 26.84/4.47 powerset( 26.84/4.47 X1474)))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1478, 26.84/4.47 X1480]: 26.84/4.47 (in( 26.84/4.47 X1480, 26.84/4.47 powerset( 26.84/4.47 X1478)) => 26.84/4.47 (![X1482]: 26.84/4.47 (in( 26.84/4.47 X1482, 26.84/4.47 powerset( 26.84/4.47 X1478)) => 26.84/4.47 (( 26.84/4.47 ![X1484]: 26.84/4.47 (in( 26.84/4.47 X1484, 26.84/4.47 X1478) => 26.84/4.47 (in( 26.84/4.47 X1484, 26.84/4.47 X1480) => 26.84/4.47 in( 26.84/4.47 X1484, 26.84/4.47 X1482)))) => 26.84/4.47 (( 26.84/4.47 ![X1486]: 26.84/4.47 (in( 26.84/4.47 X1486, 26.84/4.47 X1478) => 26.84/4.47 (in( 26.84/4.47 X1486, 26.84/4.47 X1482) => 26.84/4.47 in( 26.84/4.47 X1486, 26.84/4.47 X1480)))) => 26.84/4.47 (X1480 = 26.84/4.47 X1482))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1488, 26.84/4.47 X1490]: 26.84/4.47 (in( 26.84/4.47 X1490, 26.84/4.47 powerset( 26.84/4.47 X1488)) => 26.84/4.47 (![X1492]: 26.84/4.47 (in( 26.84/4.47 X1492, 26.84/4.47 powerset( 26.84/4.47 X1488)) => 26.84/4.47 (( 26.84/4.47 ![X1494]: 26.84/4.47 (in( 26.84/4.47 X1494, 26.84/4.47 X1488) => 26.84/4.47 (in( 26.84/4.47 X1494, 26.84/4.47 X1490) => 26.84/4.47 in( 26.84/4.47 X1494, 26.84/4.47 X1492)))) => 26.84/4.47 subset( 26.84/4.47 X1490, 26.84/4.47 X1492)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1496, 26.84/4.47 X1498]: 26.84/4.47 (in( 26.84/4.47 X1498, 26.84/4.47 powerset( 26.84/4.47 X1496)) => 26.84/4.47 (![X1500]: 26.84/4.47 (in( 26.84/4.47 X1500, 26.84/4.47 powerset( 26.84/4.47 X1496)) => 26.84/4.47 (( 26.84/4.47 ![X1502]: 26.84/4.47 (in( 26.84/4.47 X1502, 26.84/4.47 X1496) => 26.84/4.47 (in( 26.84/4.47 X1502, 26.84/4.47 X1498) => 26.84/4.47 in( 26.84/4.47 X1502, 26.84/4.47 X1500)))) => 26.84/4.47 in( 26.84/4.47 X1498, 26.84/4.47 powerset( 26.84/4.47 X1500))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1504, 26.84/4.47 X1506]: 26.84/4.47 (in( 26.84/4.47 X1506, 26.84/4.47 powerset( 26.84/4.47 X1504)) => 26.84/4.47 (![X1508]: 26.84/4.47 (in( 26.84/4.47 X1508, 26.84/4.47 powerset( 26.84/4.47 X1504)) => 26.84/4.47 (![X1510]: 26.84/4.47 (in( 26.84/4.47 X1510, 26.84/4.47 X1504) => 26.84/4.47 (in( 26.84/4.47 X1506, 26.84/4.47 powerset( 26.84/4.47 X1508)) => 26.84/4.47 (in( 26.84/4.47 X1510, 26.84/4.47 X1506) => 26.84/4.47 in( 26.84/4.47 X1510, 26.84/4.47 X1508))))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1512, 26.84/4.47 X1514]: 26.84/4.47 (in( 26.84/4.47 X1514, 26.84/4.47 powerset( 26.84/4.47 X1512)) => 26.84/4.47 (![X1516]: 26.84/4.47 (in( 26.84/4.47 X1516, 26.84/4.47 X1512) => 26.84/4.47 (in( 26.84/4.47 X1516, 26.84/4.47 X1514) => 26.84/4.47 (~ 26.84/4.47 in( 26.84/4.47 X1516, 26.84/4.47 setminus( 26.84/4.47 X1512, 26.84/4.47 X1514)))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1518, 26.84/4.47 X1520]: 26.84/4.47 (in( 26.84/4.47 X1520, 26.84/4.47 powerset( 26.84/4.47 X1518)) => 26.84/4.47 (![X1522]: 26.84/4.47 (in( 26.84/4.47 X1522, 26.84/4.47 X1518) => 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X1522, 26.84/4.47 setminus( 26.84/4.47 X1518, 26.84/4.47 X1520))) => 26.84/4.47 in( 26.84/4.47 X1522, 26.84/4.47 X1520)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1524, 26.84/4.47 X1526]: 26.84/4.47 (in( 26.84/4.47 X1526, 26.84/4.47 powerset( 26.84/4.47 X1524)) => 26.84/4.47 (![X1528]: 26.84/4.47 (in( 26.84/4.47 X1528, 26.84/4.47 powerset( 26.84/4.47 X1524)) => 26.84/4.47 (![X1530]: 26.84/4.47 (in( 26.84/4.47 X1530, 26.84/4.47 X1524) => 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X1530, 26.84/4.47 X1526)) => 26.84/4.47 (~ 26.84/4.47 in( 26.84/4.47 X1530, 26.84/4.47 binintersect( 26.84/4.47 X1526, 26.84/4.47 X1528)))))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1532, 26.84/4.47 X1534]: 26.84/4.47 (in( 26.84/4.47 X1534, 26.84/4.47 powerset( 26.84/4.47 X1532)) => 26.84/4.47 (![X1536]: 26.84/4.47 (in( 26.84/4.47 X1536, 26.84/4.47 powerset( 26.84/4.47 X1532)) => 26.84/4.47 (![X1538]: 26.84/4.47 (in( 26.84/4.47 X1538, 26.84/4.47 X1532) => 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X1538, 26.84/4.47 X1536)) => 26.84/4.47 (~ 26.84/4.47 in( 26.84/4.47 X1538, 26.84/4.47 binintersect( 26.84/4.47 X1534, 26.84/4.47 X1536)))))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1540, 26.84/4.47 X1542]: 26.84/4.47 (in( 26.84/4.47 X1542, 26.84/4.47 powerset( 26.84/4.47 X1540)) => 26.84/4.47 (![X1544]: 26.84/4.47 (in( 26.84/4.47 X1544, 26.84/4.47 powerset( 26.84/4.47 X1540)) => 26.84/4.47 (![X1546]: 26.84/4.47 (in( 26.84/4.47 X1546, 26.84/4.47 X1540) => 26.84/4.47 (subset( 26.84/4.47 X1542, 26.84/4.47 setminus( 26.84/4.47 X1540, 26.84/4.47 X1544)) => 26.84/4.47 (in( 26.84/4.47 X1546, 26.84/4.47 X1544) => 26.84/4.47 (~ 26.84/4.47 in( 26.84/4.47 X1546, 26.84/4.47 X1542)))))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1548, 26.84/4.47 X1550]: 26.84/4.47 (in( 26.84/4.47 X1550, 26.84/4.47 powerset( 26.84/4.47 X1548)) => 26.84/4.47 (![X1552]: 26.84/4.47 (in( 26.84/4.47 X1552, 26.84/4.47 powerset( 26.84/4.47 X1548)) => 26.84/4.47 (![X1554]: 26.84/4.47 (in( 26.84/4.47 X1554, 26.84/4.47 X1548) => 26.84/4.47 (subset( 26.84/4.47 X1550, 26.84/4.47 X1552) => 26.84/4.47 (( 26.84/4.47 ~ 26.84/4.47 in( 26.84/4.47 X1554, 26.84/4.47 X1552)) => 26.84/4.47 (~ 26.84/4.47 in( 26.84/4.47 X1554, 26.84/4.47 X1550)))))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1556, 26.84/4.47 X1558]: 26.84/4.47 (in( 26.84/4.47 X1558, 26.84/4.47 powerset( 26.84/4.47 X1556)) => 26.84/4.47 (![X1560]: 26.84/4.47 (in( 26.84/4.47 X1560, 26.84/4.47 powerset( 26.84/4.47 X1556)) => 26.84/4.47 (subset( 26.84/4.47 X1558, 26.84/4.47 X1560) => 26.84/4.47 subset( 26.84/4.47 setminus( 26.84/4.47 X1556, 26.84/4.47 X1560), 26.84/4.47 setminus( 26.84/4.47 X1556, 26.84/4.47 X1558))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1562, 26.84/4.47 X1564]: 26.84/4.47 (in( 26.84/4.47 X1564, 26.84/4.47 powerset( 26.84/4.47 X1562)) => 26.84/4.47 (![X1566]: 26.84/4.47 (in( 26.84/4.47 X1566, 26.84/4.47 powerset( 26.84/4.47 X1562)) => 26.84/4.47 (subset( 26.84/4.47 setminus( 26.84/4.47 X1562, 26.84/4.47 X1566), 26.84/4.47 setminus( 26.84/4.47 X1562, 26.84/4.47 X1564)) => 26.84/4.47 subset( 26.84/4.47 X1564, 26.84/4.47 X1566)))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1568, 26.84/4.47 X1570]: 26.84/4.47 (in( 26.84/4.47 X1570, 26.84/4.47 powerset( 26.84/4.47 X1568)) => 26.84/4.47 (![X1572]: 26.84/4.47 (in( 26.84/4.47 X1572, 26.84/4.47 X1568) => 26.84/4.47 (in( 26.84/4.47 X1572, 26.84/4.47 X1570) => 26.84/4.47 in( 26.84/4.47 X1572, 26.84/4.47 setminus( 26.84/4.47 X1568, 26.84/4.47 setminus( 26.84/4.47 X1568, 26.84/4.47 X1570)))))))) => 26.84/4.47 ( 26.84/4.47 ( 26.84/4.47 ![X1574, 26.84/4.47 X1576]: 26.84/4.47 (in( 26.84/4.47 X1576, 26.84/4.47 powerset( 26.84/4.47 X1574)) => 26.84/4.47 (![X1578]: 26.84/4.47 (in( 26.84/4.47 X1578, 26.84/4.47 X1574) => 26.84/4.47 (in( 26.84/4.47 X1578, 26.84/4.47 setminus( 26.84/4.47 X1574, 26.84/4.47 setminus( 26.84/4.47 X1574, 26.84/4.47 X1576))) => 26.84/4.47 in( 26.84/4.47 X1578, 26.84/4.47 X1576)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1580, 26.84/4.48 X1582]: 26.84/4.48 (in( 26.84/4.48 X1582, 26.84/4.48 powerset( 26.84/4.48 X1580)) => 26.84/4.48 subset( 26.84/4.48 X1582, 26.84/4.48 setminus( 26.84/4.48 X1580, 26.84/4.48 setminus( 26.84/4.48 X1580, 26.84/4.48 X1582))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1584, 26.84/4.48 X1586]: 26.84/4.48 (in( 26.84/4.48 X1586, 26.84/4.48 powerset( 26.84/4.48 X1584)) => 26.84/4.48 subset( 26.84/4.48 setminus( 26.84/4.48 X1584, 26.84/4.48 setminus( 26.84/4.48 X1584, 26.84/4.48 X1586)), 26.84/4.48 X1586))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1588, 26.84/4.48 X1590]: 26.84/4.48 (in( 26.84/4.48 X1590, 26.84/4.48 powerset( 26.84/4.48 X1588)) => 26.84/4.48 (X1590 = 26.84/4.48 setminus( 26.84/4.48 X1588, 26.84/4.48 setminus( 26.84/4.48 X1588, 26.84/4.48 X1590))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1592, 26.84/4.48 X1594]: 26.84/4.48 (in( 26.84/4.48 X1594, 26.84/4.48 powerset( 26.84/4.48 X1592)) => 26.84/4.48 (![X1596]: 26.84/4.48 (in( 26.84/4.48 X1596, 26.84/4.48 powerset( 26.84/4.48 X1592)) => 26.84/4.48 (![X1598]: 26.84/4.48 (in( 26.84/4.48 X1598, 26.84/4.48 X1592) => 26.84/4.48 (in( 26.84/4.48 X1598, 26.84/4.48 setminus( 26.84/4.48 X1592, 26.84/4.48 X1594)) => 26.84/4.48 (~ 26.84/4.48 in( 26.84/4.48 X1598, 26.84/4.48 binintersect( 26.84/4.48 X1594, 26.84/4.48 X1596)))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1600, 26.84/4.48 X1602]: 26.84/4.48 (in( 26.84/4.48 X1602, 26.84/4.48 powerset( 26.84/4.48 X1600)) => 26.84/4.48 (![X1604]: 26.84/4.48 (in( 26.84/4.48 X1604, 26.84/4.48 powerset( 26.84/4.48 X1600)) => 26.84/4.48 (![X1606]: 26.84/4.48 (in( 26.84/4.48 X1606, 26.84/4.48 X1600) => 26.84/4.48 (in( 26.84/4.48 X1606, 26.84/4.48 setminus( 26.84/4.48 X1600, 26.84/4.48 X1602)) => 26.84/4.48 in( 26.84/4.48 X1606, 26.84/4.48 setminus( 26.84/4.48 X1600, 26.84/4.48 binintersect( 26.84/4.48 X1602, 26.84/4.48 X1604)))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1608, 26.84/4.48 X1610]: 26.84/4.48 (in( 26.84/4.48 X1610, 26.84/4.48 powerset( 26.84/4.48 X1608)) => 26.84/4.48 (![X1612]: 26.84/4.48 (in( 26.84/4.48 X1612, 26.84/4.48 powerset( 26.84/4.48 X1608)) => 26.84/4.48 subset( 26.84/4.48 setminus( 26.84/4.48 X1608, 26.84/4.48 X1610), 26.84/4.48 setminus( 26.84/4.48 X1608, 26.84/4.48 binintersect( 26.84/4.48 X1610, 26.84/4.48 X1612))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1614, 26.84/4.48 X1616]: 26.84/4.48 (in( 26.84/4.48 X1616, 26.84/4.48 powerset( 26.84/4.48 X1614)) => 26.84/4.48 (![X1618]: 26.84/4.48 (in( 26.84/4.48 X1618, 26.84/4.48 powerset( 26.84/4.48 X1614)) => 26.84/4.48 in( 26.84/4.48 setminus( 26.84/4.48 X1614, 26.84/4.48 X1616), 26.84/4.48 powerset( 26.84/4.48 setminus( 26.84/4.48 X1614, 26.84/4.48 binintersect( 26.84/4.48 X1616, 26.84/4.48 X1618)))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1620, 26.84/4.48 X1622]: 26.84/4.48 (in( 26.84/4.48 X1622, 26.84/4.48 powerset( 26.84/4.48 X1620)) => 26.84/4.48 (![X1624]: 26.84/4.48 (in( 26.84/4.48 X1624, 26.84/4.48 powerset( 26.84/4.48 X1620)) => 26.84/4.48 (subset( 26.84/4.48 X1622, 26.84/4.48 setminus( 26.84/4.48 X1620, 26.84/4.48 X1624)) => 26.84/4.48 (![X1626]: 26.84/4.48 (in( 26.84/4.48 X1626, 26.84/4.48 X1620) => 26.84/4.48 (in( 26.84/4.48 X1626, 26.84/4.48 X1624) => 26.84/4.48 in( 26.84/4.48 X1626, 26.84/4.48 setminus( 26.84/4.48 X1620, 26.84/4.48 X1622)))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1628, 26.84/4.48 X1630]: 26.84/4.48 (in( 26.84/4.48 X1630, 26.84/4.48 powerset( 26.84/4.48 X1628)) => 26.84/4.48 (![X1632]: 26.84/4.48 (in( 26.84/4.48 X1632, 26.84/4.48 powerset( 26.84/4.48 X1628)) => 26.84/4.48 (subset( 26.84/4.48 X1630, 26.84/4.48 setminus( 26.84/4.48 X1628, 26.84/4.48 X1632)) => 26.84/4.48 subset( 26.84/4.48 X1632, 26.84/4.48 setminus( 26.84/4.48 X1628, 26.84/4.48 X1630))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1634, 26.84/4.48 X1636]: 26.84/4.48 (in( 26.84/4.48 X1636, 26.84/4.48 powerset( 26.84/4.48 X1634)) => 26.84/4.48 (![X1638]: 26.84/4.48 (in( 26.84/4.48 X1638, 26.84/4.48 powerset( 26.84/4.48 X1634)) => 26.84/4.48 (![X1640]: 26.84/4.48 (in( 26.84/4.48 X1640, 26.84/4.48 X1634) => 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X1640, 26.84/4.48 binunion( 26.84/4.48 X1636, 26.84/4.48 X1638))) => 26.84/4.48 (~ 26.84/4.48 in( 26.84/4.48 X1640, 26.84/4.48 X1636))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1642, 26.84/4.48 X1644]: 26.84/4.48 (in( 26.84/4.48 X1644, 26.84/4.48 powerset( 26.84/4.48 X1642)) => 26.84/4.48 (![X1646]: 26.84/4.48 (in( 26.84/4.48 X1646, 26.84/4.48 powerset( 26.84/4.48 X1642)) => 26.84/4.48 (![X1648]: 26.84/4.48 (in( 26.84/4.48 X1648, 26.84/4.48 X1642) => 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X1648, 26.84/4.48 binunion( 26.84/4.48 X1644, 26.84/4.48 X1646))) => 26.84/4.48 (~ 26.84/4.48 in( 26.84/4.48 X1648, 26.84/4.48 X1646))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1650, 26.84/4.48 X1652]: 26.84/4.48 (in( 26.84/4.48 X1652, 26.84/4.48 powerset( 26.84/4.48 X1650)) => 26.84/4.48 (![X1654]: 26.84/4.48 (in( 26.84/4.48 X1654, 26.84/4.48 powerset( 26.84/4.48 X1650)) => 26.84/4.48 (![X1656]: 26.84/4.48 (in( 26.84/4.48 X1656, 26.84/4.48 powerset( 26.84/4.48 X1650)) => 26.84/4.48 (![X1658]: 26.84/4.48 (in( 26.84/4.48 X1658, 26.84/4.48 X1650) => 26.84/4.48 (in( 26.84/4.48 X1658, 26.84/4.48 binintersect( 26.84/4.48 X1652, 26.84/4.48 X1654)) => 26.84/4.48 in( 26.84/4.48 X1658, 26.84/4.48 binunion( 26.84/4.48 X1652, 26.84/4.48 X1656))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1660, 26.84/4.48 X1662]: 26.84/4.48 (in( 26.84/4.48 X1662, 26.84/4.48 powerset( 26.84/4.48 X1660)) => 26.84/4.48 (![X1664]: 26.84/4.48 (in( 26.84/4.48 X1664, 26.84/4.48 powerset( 26.84/4.48 X1660)) => 26.84/4.48 (![X1666]: 26.84/4.48 (in( 26.84/4.48 X1666, 26.84/4.48 powerset( 26.84/4.48 X1660)) => 26.84/4.48 (![X1668]: 26.84/4.48 (in( 26.84/4.48 X1668, 26.84/4.48 X1660) => 26.84/4.48 (in( 26.84/4.48 X1668, 26.84/4.48 binintersect( 26.84/4.48 X1662, 26.84/4.48 X1664)) => 26.84/4.48 in( 26.84/4.48 X1668, 26.84/4.48 binunion( 26.84/4.48 X1664, 26.84/4.48 X1666))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1670, 26.84/4.48 X1672]: 26.84/4.48 (in( 26.84/4.48 X1672, 26.84/4.48 powerset( 26.84/4.48 X1670)) => 26.84/4.48 (![X1674]: 26.84/4.48 (in( 26.84/4.48 X1674, 26.84/4.48 powerset( 26.84/4.48 X1670)) => 26.84/4.48 (![X1676]: 26.84/4.48 (in( 26.84/4.48 X1676, 26.84/4.48 powerset( 26.84/4.48 X1670)) => 26.84/4.48 (![X1678]: 26.84/4.48 (in( 26.84/4.48 X1678, 26.84/4.48 X1670) => 26.84/4.48 (in( 26.84/4.48 X1678, 26.84/4.48 binintersect( 26.84/4.48 X1672, 26.84/4.48 X1674)) => 26.84/4.48 in( 26.84/4.48 X1678, 26.84/4.48 binintersect( 26.84/4.48 binunion( 26.84/4.48 X1672, 26.84/4.48 X1676), 26.84/4.48 binunion( 26.84/4.48 X1674, 26.84/4.48 X1676)))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1680, 26.84/4.48 X1682]: 26.84/4.48 (in( 26.84/4.48 X1682, 26.84/4.48 powerset( 26.84/4.48 X1680)) => 26.84/4.48 (![X1684]: 26.84/4.48 (in( 26.84/4.48 X1684, 26.84/4.48 powerset( 26.84/4.48 X1680)) => 26.84/4.48 (![X1686]: 26.84/4.48 (in( 26.84/4.48 X1686, 26.84/4.48 powerset( 26.84/4.48 X1680)) => 26.84/4.48 in( 26.84/4.48 binintersect( 26.84/4.48 X1682, 26.84/4.48 X1684), 26.84/4.48 powerset( 26.84/4.48 binintersect( 26.84/4.48 binunion( 26.84/4.48 X1682, 26.84/4.48 X1686), 26.84/4.48 binunion( 26.84/4.48 X1684, 26.84/4.48 X1686)))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1688, 26.84/4.48 X1690]: 26.84/4.48 (in( 26.84/4.48 X1690, 26.84/4.48 powerset( 26.84/4.48 X1688)) => 26.84/4.48 (![X1692]: 26.84/4.48 (in( 26.84/4.48 X1692, 26.84/4.48 powerset( 26.84/4.48 X1688)) => 26.84/4.48 (![X1694]: 26.84/4.48 (in( 26.84/4.48 X1694, 26.84/4.48 X1688) => 26.84/4.48 (in( 26.84/4.48 X1694, 26.84/4.48 setminus( 26.84/4.48 X1688, 26.84/4.48 binunion( 26.84/4.48 X1690, 26.84/4.48 X1692))) => 26.84/4.48 (~ 26.84/4.48 in( 26.84/4.48 X1694, 26.84/4.48 X1690))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1696, 26.84/4.48 X1698]: 26.84/4.48 (in( 26.84/4.48 X1698, 26.84/4.48 powerset( 26.84/4.48 X1696)) => 26.84/4.48 (![X1700]: 26.84/4.48 (in( 26.84/4.48 X1700, 26.84/4.48 powerset( 26.84/4.48 X1696)) => 26.84/4.48 (![X1702]: 26.84/4.48 (in( 26.84/4.48 X1702, 26.84/4.48 X1696) => 26.84/4.48 (in( 26.84/4.48 X1702, 26.84/4.48 setminus( 26.84/4.48 X1696, 26.84/4.48 binunion( 26.84/4.48 X1698, 26.84/4.48 X1700))) => 26.84/4.48 in( 26.84/4.48 X1702, 26.84/4.48 setminus( 26.84/4.48 X1696, 26.84/4.48 X1698))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1704, 26.84/4.48 X1706]: 26.84/4.48 (in( 26.84/4.48 X1706, 26.84/4.48 powerset( 26.84/4.48 X1704)) => 26.84/4.48 (![X1708]: 26.84/4.48 (in( 26.84/4.48 X1708, 26.84/4.48 powerset( 26.84/4.48 X1704)) => 26.84/4.48 (![X1710:$o, 26.84/4.48 X1712]: 26.84/4.48 (in( 26.84/4.48 X1712, 26.84/4.48 X1704) => 26.84/4.48 (in( 26.84/4.48 X1712, 26.84/4.48 binunion( 26.84/4.48 X1706, 26.84/4.48 X1708)) => 26.84/4.48 (( 26.84/4.48 in( 26.84/4.48 X1712, 26.84/4.48 X1706) => 26.84/4.48 X1710) => 26.84/4.48 (( 26.84/4.48 in( 26.84/4.48 X1712, 26.84/4.48 X1708) => 26.84/4.48 X1710) => 26.84/4.48 X1710))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1714, 26.84/4.48 X1716]: 26.84/4.48 (in( 26.84/4.48 X1716, 26.84/4.48 powerset( 26.84/4.48 X1714)) => 26.84/4.48 (![X1718]: 26.84/4.48 (in( 26.84/4.48 X1718, 26.84/4.48 powerset( 26.84/4.48 X1714)) => 26.84/4.48 (![X1720]: 26.84/4.48 (in( 26.84/4.48 X1720, 26.84/4.48 X1714) => 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X1720, 26.84/4.48 X1716)) => 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X1720, 26.84/4.48 X1718)) => 26.84/4.48 (~ 26.84/4.48 in( 26.84/4.48 X1720, 26.84/4.48 binunion( 26.84/4.48 X1716, 26.84/4.48 X1718))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1722, 26.84/4.48 X1724]: 26.84/4.48 (in( 26.84/4.48 X1724, 26.84/4.48 powerset( 26.84/4.48 X1722)) => 26.84/4.48 (![X1726]: 26.84/4.48 (in( 26.84/4.48 X1726, 26.84/4.48 powerset( 26.84/4.48 X1722)) => 26.84/4.48 (![X1728]: 26.84/4.48 (in( 26.84/4.48 X1728, 26.84/4.48 X1722) => 26.84/4.48 (in( 26.84/4.48 X1728, 26.84/4.48 setminus( 26.84/4.48 X1722, 26.84/4.48 binunion( 26.84/4.48 X1724, 26.84/4.48 X1726))) => 26.84/4.48 in( 26.84/4.48 X1728, 26.84/4.48 setminus( 26.84/4.48 X1722, 26.84/4.48 X1724))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1730, 26.84/4.48 X1732]: 26.84/4.48 (in( 26.84/4.48 X1732, 26.84/4.48 powerset( 26.84/4.48 X1730)) => 26.84/4.48 (![X1734]: 26.84/4.48 (in( 26.84/4.48 X1734, 26.84/4.48 powerset( 26.84/4.48 X1730)) => 26.84/4.48 in( 26.84/4.48 setminus( 26.84/4.48 X1730, 26.84/4.48 binunion( 26.84/4.48 X1732, 26.84/4.48 X1734)), 26.84/4.48 powerset( 26.84/4.48 setminus( 26.84/4.48 X1730, 26.84/4.48 X1732))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1736, 26.84/4.48 X1738]: 26.84/4.48 (in( 26.84/4.48 X1738, 26.84/4.48 powerset( 26.84/4.48 X1736)) => 26.84/4.48 (![X1740]: 26.84/4.48 (in( 26.84/4.48 X1740, 26.84/4.48 powerset( 26.84/4.48 X1736)) => 26.84/4.48 (![X1742]: 26.84/4.48 (in( 26.84/4.48 X1742, 26.84/4.48 X1736) => 26.84/4.48 (in( 26.84/4.48 X1742, 26.84/4.48 setminus( 26.84/4.48 X1736, 26.84/4.48 binunion( 26.84/4.48 X1738, 26.84/4.48 X1740))) => 26.84/4.48 in( 26.84/4.48 X1742, 26.84/4.48 setminus( 26.84/4.48 X1736, 26.84/4.48 X1740))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1744, 26.84/4.48 X1746]: 26.84/4.48 (in( 26.84/4.48 X1746, 26.84/4.48 powerset( 26.84/4.48 X1744)) => 26.84/4.48 (![X1748]: 26.84/4.48 (in( 26.84/4.48 X1748, 26.84/4.48 powerset( 26.84/4.48 X1744)) => 26.84/4.48 (![X1750]: 26.84/4.48 (in( 26.84/4.48 X1750, 26.84/4.48 X1744) => 26.84/4.48 (in( 26.84/4.48 X1750, 26.84/4.48 setminus( 26.84/4.48 X1744, 26.84/4.48 binintersect( 26.84/4.48 X1746, 26.84/4.48 X1748))) => 26.84/4.48 in( 26.84/4.48 X1750, 26.84/4.48 binunion( 26.84/4.48 setminus( 26.84/4.48 X1744, 26.84/4.48 X1746), 26.84/4.48 setminus( 26.84/4.48 X1744, 26.84/4.48 X1748)))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1752, 26.84/4.48 X1754]: 26.84/4.48 (in( 26.84/4.48 X1754, 26.84/4.48 powerset( 26.84/4.48 X1752)) => 26.84/4.48 (![X1756]: 26.84/4.48 (in( 26.84/4.48 X1756, 26.84/4.48 powerset( 26.84/4.48 X1752)) => 26.84/4.48 (![X1758]: 26.84/4.48 (in( 26.84/4.48 X1758, 26.84/4.48 X1752) => 26.84/4.48 (in( 26.84/4.48 X1758, 26.84/4.48 binunion( 26.84/4.48 setminus( 26.84/4.48 X1752, 26.84/4.48 X1754), 26.84/4.48 setminus( 26.84/4.48 X1752, 26.84/4.48 X1756))) => 26.84/4.48 in( 26.84/4.48 X1758, 26.84/4.48 setminus( 26.84/4.48 X1752, 26.84/4.48 binintersect( 26.84/4.48 X1754, 26.84/4.48 X1756)))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1760, 26.84/4.48 X1762]: 26.84/4.48 (in( 26.84/4.48 X1762, 26.84/4.48 powerset( 26.84/4.48 X1760)) => 26.84/4.48 (![X1764]: 26.84/4.48 (in( 26.84/4.48 X1764, 26.84/4.48 powerset( 26.84/4.48 X1760)) => 26.84/4.48 (setminus( 26.84/4.48 X1760, 26.84/4.48 binintersect( 26.84/4.48 X1762, 26.84/4.48 X1764)) = 26.84/4.48 binunion( 26.84/4.48 setminus( 26.84/4.48 X1760, 26.84/4.48 X1762), 26.84/4.48 setminus( 26.84/4.48 X1760, 26.84/4.48 X1764))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1766, 26.84/4.48 X1768]: 26.84/4.48 (in( 26.84/4.48 X1768, 26.84/4.48 powerset( 26.84/4.48 X1766)) => 26.84/4.48 (![X1770]: 26.84/4.48 (in( 26.84/4.48 X1770, 26.84/4.48 powerset( 26.84/4.48 X1766)) => 26.84/4.48 (![X1772]: 26.84/4.48 (in( 26.84/4.48 X1772, 26.84/4.48 X1766) => 26.84/4.48 (in( 26.84/4.48 X1772, 26.84/4.48 setminus( 26.84/4.48 X1766, 26.84/4.48 binunion( 26.84/4.48 X1768, 26.84/4.48 X1770))) => 26.84/4.48 in( 26.84/4.48 X1772, 26.84/4.48 binintersect( 26.84/4.48 setminus( 26.84/4.48 X1766, 26.84/4.48 X1768), 26.84/4.48 setminus( 26.84/4.48 X1766, 26.84/4.48 X1770)))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1774, 26.84/4.48 X1776]: 26.84/4.48 (in( 26.84/4.48 X1776, 26.84/4.48 powerset( 26.84/4.48 X1774)) => 26.84/4.48 (![X1778]: 26.84/4.48 (in( 26.84/4.48 X1778, 26.84/4.48 powerset( 26.84/4.48 X1774)) => 26.84/4.48 (![X1780]: 26.84/4.48 (in( 26.84/4.48 X1780, 26.84/4.48 X1774) => 26.84/4.48 (in( 26.84/4.48 X1780, 26.84/4.48 setminus( 26.84/4.48 X1774, 26.84/4.48 X1776)) => 26.84/4.48 (in( 26.84/4.48 X1780, 26.84/4.48 setminus( 26.84/4.48 X1774, 26.84/4.48 X1778)) => 26.84/4.48 in( 26.84/4.48 X1780, 26.84/4.48 setminus( 26.84/4.48 X1774, 26.84/4.48 binunion( 26.84/4.48 X1776, 26.84/4.48 X1778))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1782, 26.84/4.48 X1784]: 26.84/4.48 (in( 26.84/4.48 X1784, 26.84/4.48 powerset( 26.84/4.48 X1782)) => 26.84/4.48 (![X1786]: 26.84/4.48 (in( 26.84/4.48 X1786, 26.84/4.48 powerset( 26.84/4.48 X1782)) => 26.84/4.48 (![X1788]: 26.84/4.48 (in( 26.84/4.48 X1788, 26.84/4.48 X1782) => 26.84/4.48 (in( 26.84/4.48 X1788, 26.84/4.48 binintersect( 26.84/4.48 setminus( 26.84/4.48 X1782, 26.84/4.48 X1784), 26.84/4.48 setminus( 26.84/4.48 X1782, 26.84/4.48 X1786))) => 26.84/4.48 in( 26.84/4.48 X1788, 26.84/4.48 setminus( 26.84/4.48 X1782, 26.84/4.48 binunion( 26.84/4.48 X1784, 26.84/4.48 X1786)))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1790, 26.84/4.48 X1792]: 26.84/4.48 (in( 26.84/4.48 X1792, 26.84/4.48 powerset( 26.84/4.48 X1790)) => 26.84/4.48 (![X1794]: 26.84/4.48 (in( 26.84/4.48 X1794, 26.84/4.48 powerset( 26.84/4.48 X1790)) => 26.84/4.48 (setminus( 26.84/4.48 X1790, 26.84/4.48 binunion( 26.84/4.48 X1792, 26.84/4.48 X1794)) = 26.84/4.48 binintersect( 26.84/4.48 setminus( 26.84/4.48 X1790, 26.84/4.48 X1792), 26.84/4.48 setminus( 26.84/4.48 X1790, 26.84/4.48 X1794))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1796, 26.84/4.48 X1798]: 26.84/4.48 (in( 26.84/4.48 X1798, 26.84/4.48 powerset( 26.84/4.48 X1796)) => 26.84/4.48 (![X1800]: 26.84/4.48 (in( 26.84/4.48 X1800, 26.84/4.48 powerset( 26.84/4.48 X1796)) => 26.84/4.48 (![X1802]: 26.84/4.48 (in( 26.84/4.48 X1802, 26.84/4.48 binintersect( 26.84/4.48 X1798, 26.84/4.48 X1800)) => 26.84/4.48 in( 26.84/4.48 X1802, 26.84/4.48 X1796))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1804, 26.84/4.48 X1806]: 26.84/4.48 (in( 26.84/4.48 X1806, 26.84/4.48 powerset( 26.84/4.48 X1804)) => 26.84/4.48 (![X1808]: 26.84/4.48 (in( 26.84/4.48 X1808, 26.84/4.48 powerset( 26.84/4.48 X1804)) => 26.84/4.48 (![X1810]: 26.84/4.48 (in( 26.84/4.48 X1810, 26.84/4.48 powerset( 26.84/4.48 X1804)) => 26.84/4.48 (subset( 26.84/4.48 X1806, 26.84/4.48 X1810) => 26.84/4.48 subset( 26.84/4.48 binintersect( 26.84/4.48 X1806, 26.84/4.48 X1808), 26.84/4.48 X1810)))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1812, 26.84/4.48 X1814]: 26.84/4.48 (in( 26.84/4.48 X1814, 26.84/4.48 powerset( 26.84/4.48 X1812)) => 26.84/4.48 (![X1816]: 26.84/4.48 (in( 26.84/4.48 X1816, 26.84/4.48 powerset( 26.84/4.48 X1812)) => 26.84/4.48 (![X1818]: 26.84/4.48 (in( 26.84/4.48 X1818, 26.84/4.48 powerset( 26.84/4.48 X1812)) => 26.84/4.48 (subset( 26.84/4.48 X1816, 26.84/4.48 X1818) => 26.84/4.48 subset( 26.84/4.48 binintersect( 26.84/4.48 X1814, 26.84/4.48 X1816), 26.84/4.48 X1818)))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1820, 26.84/4.48 X1822]: 26.84/4.48 (in( 26.84/4.48 X1822, 26.84/4.48 powerset( 26.84/4.48 X1820)) => 26.84/4.48 (![X1824]: 26.84/4.48 (in( 26.84/4.48 X1824, 26.84/4.48 powerset( 26.84/4.48 X1820)) => 26.84/4.48 (![X1826]: 26.84/4.48 (in( 26.84/4.48 X1826, 26.84/4.48 powerset( 26.84/4.48 X1820)) => 26.84/4.48 (subset( 26.84/4.48 X1822, 26.84/4.48 X1824) => 26.84/4.48 (subset( 26.84/4.48 X1822, 26.84/4.48 X1826) => 26.84/4.48 subset( 26.84/4.48 X1822, 26.84/4.48 binintersect( 26.84/4.48 X1824, 26.84/4.48 X1826)))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1828, 26.84/4.48 X1830]: 26.84/4.48 (in( 26.84/4.48 X1830, 26.84/4.48 powerset( 26.84/4.48 X1828)) => 26.84/4.48 (![X1832]: 26.84/4.48 (in( 26.84/4.48 X1832, 26.84/4.48 powerset( 26.84/4.48 X1828)) => 26.84/4.48 (![X1834]: 26.84/4.48 (in( 26.84/4.48 X1834, 26.84/4.48 powerset( 26.84/4.48 X1828)) => 26.84/4.48 (![X1836]: 26.84/4.48 (in( 26.84/4.48 X1836, 26.84/4.48 powerset( 26.84/4.48 X1828)) => 26.84/4.48 (subset( 26.84/4.48 X1830, 26.84/4.48 X1834) => 26.84/4.48 (subset( 26.84/4.48 X1832, 26.84/4.48 X1836) => 26.84/4.48 subset( 26.84/4.48 binintersect( 26.84/4.48 X1830, 26.84/4.48 X1832), 26.84/4.48 binintersect( 26.84/4.48 X1834, 26.84/4.48 X1836)))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1838, 26.84/4.48 X1840]: 26.84/4.48 (in( 26.84/4.48 X1840, 26.84/4.48 powerset( 26.84/4.48 X1838)) => 26.84/4.48 (![X1842]: 26.84/4.48 (in( 26.84/4.48 X1842, 26.84/4.48 powerset( 26.84/4.48 X1838)) => 26.84/4.48 in( 26.84/4.48 setminus( 26.84/4.48 X1838, 26.84/4.48 X1840), 26.84/4.48 powerset( 26.84/4.48 setminus( 26.84/4.48 X1838, 26.84/4.48 binintersect( 26.84/4.48 X1840, 26.84/4.48 X1842)))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1844, 26.84/4.48 X1846]: 26.84/4.48 (in( 26.84/4.48 X1846, 26.84/4.48 powerset( 26.84/4.48 X1844)) => 26.84/4.48 (![X1848]: 26.84/4.48 (in( 26.84/4.48 X1848, 26.84/4.48 powerset( 26.84/4.48 X1844)) => 26.84/4.48 (![X1850]: 26.84/4.48 (in( 26.84/4.48 X1850, 26.84/4.48 powerset( 26.84/4.48 X1844)) => 26.84/4.48 (![X1852]: 26.84/4.48 (in( 26.84/4.48 X1852, 26.84/4.48 powerset( 26.84/4.48 X1844)) => 26.84/4.48 (setminus( 26.84/4.48 X1844, 26.84/4.48 binintersect( 26.84/4.48 binunion( 26.84/4.48 X1846, 26.84/4.48 X1848), 26.84/4.48 binunion( 26.84/4.48 X1850, 26.84/4.48 X1852))) = 26.84/4.48 binunion( 26.84/4.48 binintersect( 26.84/4.48 setminus( 26.84/4.48 X1844, 26.84/4.48 X1846), 26.84/4.48 setminus( 26.84/4.48 X1844, 26.84/4.48 X1848)), 26.84/4.48 binintersect( 26.84/4.48 setminus( 26.84/4.48 X1844, 26.84/4.48 X1850), 26.84/4.48 setminus( 26.84/4.48 X1844, 26.84/4.48 X1852)))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1854, 26.84/4.48 X1856]: 26.84/4.48 (in( 26.84/4.48 X1856, 26.84/4.48 powerset( 26.84/4.48 X1854)) => 26.84/4.48 (![X1858]: 26.84/4.48 (in( 26.84/4.48 X1858, 26.84/4.48 powerset( 26.84/4.48 X1854)) => 26.84/4.48 (![X1860]: 26.84/4.48 (in( 26.84/4.48 X1860, 26.84/4.48 powerset( 26.84/4.48 X1854)) => 26.84/4.48 in( 26.84/4.48 binintersect( 26.84/4.48 X1856, 26.84/4.48 X1858), 26.84/4.48 powerset( 26.84/4.48 binintersect( 26.84/4.48 binunion( 26.84/4.48 X1856, 26.84/4.48 X1860), 26.84/4.48 binunion( 26.84/4.48 X1858, 26.84/4.48 X1860)))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1862, 26.84/4.48 X1864]: 26.84/4.48 (in( 26.84/4.48 X1864, 26.84/4.48 powerset( 26.84/4.48 X1862)) => 26.84/4.48 (![X1866]: 26.84/4.48 (in( 26.84/4.48 X1866, 26.84/4.48 powerset( 26.84/4.48 X1862)) => 26.84/4.48 (subset( 26.84/4.48 X1864, 26.84/4.48 setminus( 26.84/4.48 X1862, 26.84/4.48 X1866)) => 26.84/4.48 subset( 26.84/4.48 X1866, 26.84/4.48 setminus( 26.84/4.48 X1862, 26.84/4.48 X1864))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1868, 26.84/4.48 X1870]: 26.84/4.48 (in( 26.84/4.48 X1870, 26.84/4.48 powerset( 26.84/4.48 X1868)) => 26.84/4.48 (![X1872]: 26.84/4.48 (in( 26.84/4.48 X1872, 26.84/4.48 powerset( 26.84/4.48 X1868)) => 26.84/4.48 in( 26.84/4.48 setminus( 26.84/4.48 X1868, 26.84/4.48 binunion( 26.84/4.48 X1870, 26.84/4.48 X1872)), 26.84/4.48 powerset( 26.84/4.48 setminus( 26.84/4.48 X1868, 26.84/4.48 X1870))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1874, 26.84/4.48 X1876]: 26.84/4.48 (breln1( 26.84/4.48 X1874, 26.84/4.48 X1876) => 26.84/4.48 (![X1878:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 (( 26.84/4.48 ![X1880]: 26.84/4.48 (in( 26.84/4.48 X1880, 26.84/4.48 X1874) => 26.84/4.48 (![X1882]: 26.84/4.48 (in( 26.84/4.48 X1882, 26.84/4.48 X1874) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X1880, 26.84/4.48 X1882), 26.84/4.48 X1876) => 26.84/4.48 X1878( 26.84/4.48 kpair( 26.84/4.48 X1880, 26.84/4.48 X1882))))))) => 26.84/4.48 (![X1884]: 26.84/4.48 (in( 26.84/4.48 X1884, 26.84/4.48 X1876) => 26.84/4.48 X1878( 26.84/4.48 X1884))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1886, 26.84/4.48 X1888]: 26.84/4.48 (in( 26.84/4.48 X1888, 26.84/4.48 breln1Set( 26.84/4.48 X1886)) => 26.84/4.48 breln1( 26.84/4.48 X1886, 26.84/4.48 X1888))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1890, 26.84/4.48 X1892, 26.84/4.48 X1894:( 26.84/4.48 ($i * $i) > 26.84/4.48 $o)]: 26.84/4.48 (( 26.84/4.48 ![X1896]: 26.84/4.48 (in( 26.84/4.48 X1896, 26.84/4.48 X1890) => 26.84/4.48 (?[X1898]: 26.84/4.48 (in( 26.84/4.48 X1898, 26.84/4.48 X1892) & 26.84/4.48 X1894( 26.84/4.48 X1896, 26.84/4.48 X1898))))) => 26.84/4.48 (![X1900]: 26.84/4.48 (in( 26.84/4.48 X1900, 26.84/4.48 breln1Set( 26.84/4.48 X1892)) => 26.84/4.48 (reflwellordering( 26.84/4.48 X1892, 26.84/4.48 X1900) => 26.84/4.48 (![X1902]: 26.84/4.48 (in( 26.84/4.48 X1902, 26.84/4.48 X1890) => 26.84/4.48 singleton( 26.84/4.48 dsetconstr( 26.84/4.48 X1892, 26.84/4.48 ^[V_53]: 26.84/4.48 (( 26.84/4.48 ![X1904]: 26.84/4.48 (in( 26.84/4.48 X1904, 26.84/4.48 X1892) => 26.84/4.48 (X1894( 26.84/4.48 X1902, 26.84/4.48 X1904) => 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 V_53, 26.84/4.48 X1904), 26.84/4.48 X1900)))) & 26.84/4.48 X1894( 26.84/4.48 X1902, 26.84/4.48 V_53))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1906, 26.84/4.48 X1908:( 26.84/4.48 ($i * $i) > 26.84/4.48 $o)]: 26.84/4.48 breln1( 26.84/4.48 X1906, 26.84/4.48 dpsetconstr( 26.84/4.48 X1906, 26.84/4.48 X1906, 26.84/4.48 ^[V_54, 26.84/4.48 V_55]: 26.84/4.48 X1908( 26.84/4.48 V_54,V_55)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1910, 26.84/4.48 X1912]: 26.84/4.48 (breln1( 26.84/4.48 X1910, 26.84/4.48 X1912) => 26.84/4.48 (![X1914:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 (( 26.84/4.48 ![X1916]: 26.84/4.48 (in( 26.84/4.48 X1916, 26.84/4.48 X1910) => 26.84/4.48 (![X1918]: 26.84/4.48 (in( 26.84/4.48 X1918, 26.84/4.48 X1910) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X1916, 26.84/4.48 X1918), 26.84/4.48 X1912) => 26.84/4.48 X1914( 26.84/4.48 kpair( 26.84/4.48 X1916, 26.84/4.48 X1918))))))) => 26.84/4.48 (![X1920]: 26.84/4.48 (in( 26.84/4.48 X1920, 26.84/4.48 X1912) => 26.84/4.48 X1914( 26.84/4.48 X1920))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1922, 26.84/4.48 X1924]: 26.84/4.48 (breln1( 26.84/4.48 X1922, 26.84/4.48 X1924) => 26.84/4.48 (![X1926]: 26.84/4.48 (breln1( 26.84/4.48 X1922, 26.84/4.48 X1926) => 26.84/4.48 (( 26.84/4.48 ![X1928]: 26.84/4.48 (in( 26.84/4.48 X1928, 26.84/4.48 X1922) => 26.84/4.48 (![X1930]: 26.84/4.48 (in( 26.84/4.48 X1930, 26.84/4.48 X1922) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X1928, 26.84/4.48 X1930), 26.84/4.48 X1924) => 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X1928, 26.84/4.48 X1930), 26.84/4.48 X1926)))))) => 26.84/4.48 subset( 26.84/4.48 X1924, 26.84/4.48 X1926)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1932, 26.84/4.48 X1934]: 26.84/4.48 (breln1( 26.84/4.48 X1932, 26.84/4.48 X1934) => 26.84/4.48 (![X1936]: 26.84/4.48 (breln1( 26.84/4.48 X1932, 26.84/4.48 X1936) => 26.84/4.48 (( 26.84/4.48 ![X1938]: 26.84/4.48 (in( 26.84/4.48 X1938, 26.84/4.48 X1932) => 26.84/4.48 (![X1940]: 26.84/4.48 (in( 26.84/4.48 X1940, 26.84/4.48 X1932) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X1938, 26.84/4.48 X1940), 26.84/4.48 X1934) => 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X1938, 26.84/4.48 X1940), 26.84/4.48 X1936)))))) => 26.84/4.48 (( 26.84/4.48 ![X1942]: 26.84/4.48 (in( 26.84/4.48 X1942, 26.84/4.48 X1932) => 26.84/4.48 (![X1944]: 26.84/4.48 (in( 26.84/4.48 X1944, 26.84/4.48 X1932) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X1942, 26.84/4.48 X1944), 26.84/4.48 X1936) => 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X1942, 26.84/4.48 X1944), 26.84/4.48 X1934)))))) => 26.84/4.48 (X1934 = 26.84/4.48 X1936))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1946, 26.84/4.48 X1948]: 26.84/4.48 (breln1( 26.84/4.48 X1946, 26.84/4.48 X1948) => 26.84/4.48 breln1( 26.84/4.48 X1946, 26.84/4.48 breln1invset( 26.84/4.48 X1946, 26.84/4.48 X1948)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1950, 26.84/4.48 X1952]: 26.84/4.48 (breln1( 26.84/4.48 X1950, 26.84/4.48 X1952) => 26.84/4.48 (![X1954]: 26.84/4.48 (in( 26.84/4.48 X1954, 26.84/4.48 X1950) => 26.84/4.48 (![X1956]: 26.84/4.48 (in( 26.84/4.48 X1956, 26.84/4.48 X1950) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X1954, 26.84/4.48 X1956), 26.84/4.48 X1952) => 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X1956, 26.84/4.48 X1954), 26.84/4.48 breln1invset( 26.84/4.48 X1950, 26.84/4.48 X1952))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1958, 26.84/4.48 X1960]: 26.84/4.48 (breln1( 26.84/4.48 X1958, 26.84/4.48 X1960) => 26.84/4.48 (![X1962]: 26.84/4.48 (in( 26.84/4.48 X1962, 26.84/4.48 X1958) => 26.84/4.48 (![X1964]: 26.84/4.48 (in( 26.84/4.48 X1964, 26.84/4.48 X1958) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X1964, 26.84/4.48 X1962), 26.84/4.48 breln1invset( 26.84/4.48 X1958, 26.84/4.48 X1960)) => 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X1962, 26.84/4.48 X1964), 26.84/4.48 X1960)))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1966, 26.84/4.48 X1968]: 26.84/4.48 (breln1( 26.84/4.48 X1966, 26.84/4.48 X1968) => 26.84/4.48 (![X1970]: 26.84/4.48 (breln1( 26.84/4.48 X1966, 26.84/4.48 X1970) => 26.84/4.48 breln1( 26.84/4.48 X1966, 26.84/4.48 breln1compset( 26.84/4.48 X1966, 26.84/4.48 X1968, 26.84/4.48 X1970)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1972, 26.84/4.48 X1974]: 26.84/4.48 (breln1( 26.84/4.48 X1972, 26.84/4.48 X1974) => 26.84/4.48 (![X1976]: 26.84/4.48 (breln1( 26.84/4.48 X1972, 26.84/4.48 X1976) => 26.84/4.48 (![X1978]: 26.84/4.48 (in( 26.84/4.48 X1978, 26.84/4.48 X1972) => 26.84/4.48 (![X1980]: 26.84/4.48 (in( 26.84/4.48 X1980, 26.84/4.48 X1972) => 26.84/4.48 (![X1982]: 26.84/4.48 (in( 26.84/4.48 X1982, 26.84/4.48 X1972) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X1978, 26.84/4.48 X1982), 26.84/4.48 X1974) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X1982, 26.84/4.48 X1980), 26.84/4.48 X1976) => 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X1978, 26.84/4.48 X1980), 26.84/4.48 breln1compset( 26.84/4.48 X1972, 26.84/4.48 X1974, 26.84/4.48 X1976)))))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1984, 26.84/4.48 X1986]: 26.84/4.48 (breln1( 26.84/4.48 X1984, 26.84/4.48 X1986) => 26.84/4.48 (![X1988]: 26.84/4.48 (breln1( 26.84/4.48 X1984, 26.84/4.48 X1988) => 26.84/4.48 (![X1990]: 26.84/4.48 (in( 26.84/4.48 X1990, 26.84/4.48 X1984) => 26.84/4.48 (![X1992]: 26.84/4.48 (in( 26.84/4.48 X1992, 26.84/4.48 X1984) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X1990, 26.84/4.48 X1992), 26.84/4.48 breln1compset( 26.84/4.48 X1984, 26.84/4.48 X1986, 26.84/4.48 X1988)) => 26.84/4.48 (?[X1994]: 26.84/4.48 (in( 26.84/4.48 X1994, 26.84/4.48 X1984) & 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X1990, 26.84/4.48 X1994), 26.84/4.48 X1986) & 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X1994, 26.84/4.48 X1992), 26.84/4.48 X1988)))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X1996, 26.84/4.48 X1998]: 26.84/4.48 (breln1( 26.84/4.48 X1996, 26.84/4.48 X1998) => 26.84/4.48 (![X2000]: 26.84/4.48 (breln1( 26.84/4.48 X1996, 26.84/4.48 X2000) => 26.84/4.48 (![X2002]: 26.84/4.48 (in( 26.84/4.48 X2002, 26.84/4.48 X1996) => 26.84/4.48 (![X2004]: 26.84/4.48 (in( 26.84/4.48 X2004, 26.84/4.48 X1996) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X2002, 26.84/4.48 X2004), 26.84/4.48 breln1compset( 26.84/4.48 X1996, 26.84/4.48 X1998, 26.84/4.48 X2000)) => 26.84/4.48 (![X2006:$o]: 26.84/4.48 (( 26.84/4.48 ![X2008]: 26.84/4.48 (in( 26.84/4.48 X2008, 26.84/4.48 X1996) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X2002, 26.84/4.48 X2008), 26.84/4.48 X1998) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X2008, 26.84/4.48 X2004), 26.84/4.48 X2000) => 26.84/4.48 X2006)))) => 26.84/4.48 X2006))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2010, 26.84/4.48 X2012]: 26.84/4.48 (breln1( 26.84/4.48 X2010, 26.84/4.48 X2012) => 26.84/4.48 (![X2014]: 26.84/4.48 (breln1( 26.84/4.48 X2010, 26.84/4.48 X2014) => 26.84/4.48 breln1( 26.84/4.48 X2010, 26.84/4.48 binunion( 26.84/4.48 X2012, 26.84/4.48 X2014)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2016, 26.84/4.48 X2018]: 26.84/4.48 (breln1( 26.84/4.48 X2016, 26.84/4.48 X2018) => 26.84/4.48 (![X2020]: 26.84/4.48 (breln1( 26.84/4.48 X2016, 26.84/4.48 X2020) => 26.84/4.48 (![X2022]: 26.84/4.48 (in( 26.84/4.48 X2022, 26.84/4.48 X2016) => 26.84/4.48 (![X2024]: 26.84/4.48 (in( 26.84/4.48 X2024, 26.84/4.48 X2016) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X2022, 26.84/4.48 X2024), 26.84/4.48 X2018) => 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X2022, 26.84/4.48 X2024), 26.84/4.48 binunion( 26.84/4.48 X2018, 26.84/4.48 X2020))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2026, 26.84/4.48 X2028]: 26.84/4.48 (breln1( 26.84/4.48 X2026, 26.84/4.48 X2028) => 26.84/4.48 (![X2030]: 26.84/4.48 (breln1( 26.84/4.48 X2026, 26.84/4.48 X2030) => 26.84/4.48 (![X2032]: 26.84/4.48 (in( 26.84/4.48 X2032, 26.84/4.48 X2026) => 26.84/4.48 (![X2034]: 26.84/4.48 (in( 26.84/4.48 X2034, 26.84/4.48 X2026) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X2032, 26.84/4.48 X2034), 26.84/4.48 X2030) => 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X2032, 26.84/4.48 X2034), 26.84/4.48 binunion( 26.84/4.48 X2028, 26.84/4.48 X2030))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2036, 26.84/4.48 X2038]: 26.84/4.48 (breln1( 26.84/4.48 X2036, 26.84/4.48 X2038) => 26.84/4.48 (![X2040]: 26.84/4.48 (breln1( 26.84/4.48 X2036, 26.84/4.48 X2040) => 26.84/4.48 (![X2042]: 26.84/4.48 (in( 26.84/4.48 X2042, 26.84/4.48 X2036) => 26.84/4.48 (![X2044]: 26.84/4.48 (in( 26.84/4.48 X2044, 26.84/4.48 X2036) => 26.84/4.48 (( 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X2042, 26.84/4.48 X2044), 26.84/4.48 X2040) | 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X2042, 26.84/4.48 X2044), 26.84/4.48 X2038)) => 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X2042, 26.84/4.48 X2044), 26.84/4.48 binunion( 26.84/4.48 X2038, 26.84/4.48 X2040))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2046, 26.84/4.48 X2048]: 26.84/4.48 (breln1( 26.84/4.48 X2046, 26.84/4.48 X2048) => 26.84/4.48 (![X2050]: 26.84/4.48 (breln1( 26.84/4.48 X2046, 26.84/4.48 X2050) => 26.84/4.48 (![X2052]: 26.84/4.48 (in( 26.84/4.48 X2052, 26.84/4.48 X2046) => 26.84/4.48 (![X2054]: 26.84/4.48 (in( 26.84/4.48 X2054, 26.84/4.48 X2046) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X2052, 26.84/4.48 X2054), 26.84/4.48 binunion( 26.84/4.48 X2048, 26.84/4.48 X2050)) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X2052, 26.84/4.48 X2054), 26.84/4.48 X2050) | 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X2052, 26.84/4.48 X2054), 26.84/4.48 X2048))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2056, 26.84/4.48 X2058]: 26.84/4.48 (breln1( 26.84/4.48 X2056, 26.84/4.48 X2058) => 26.84/4.48 (![X2060]: 26.84/4.48 (breln1( 26.84/4.48 X2056, 26.84/4.48 X2060) => 26.84/4.48 (![X2062]: 26.84/4.48 (in( 26.84/4.48 X2062, 26.84/4.48 X2056) => 26.84/4.48 (![X2064]: 26.84/4.48 (in( 26.84/4.48 X2064, 26.84/4.48 X2056) => 26.84/4.48 (in( 26.84/4.48 kpair( 26.84/4.48 X2062, 26.84/4.48 X2064), 26.84/4.48 binunion( 26.84/4.48 X2058, 26.84/4.48 X2060)) => 26.84/4.48 (![X2066:$o]: 26.84/4.48 (( 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X2062, 26.84/4.48 X2064), 26.84/4.48 X2058) => 26.84/4.48 X2066) => 26.84/4.48 (( 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X2062, 26.84/4.48 X2064), 26.84/4.48 X2060) => 26.84/4.48 X2066) => 26.84/4.48 X2066)))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2068, 26.84/4.48 X2070]: 26.84/4.48 (breln1( 26.84/4.48 X2068, 26.84/4.48 X2070) => 26.84/4.48 (![X2072]: 26.84/4.48 (breln1( 26.84/4.48 X2068, 26.84/4.48 X2072) => 26.84/4.48 (binunion( 26.84/4.48 X2070, 26.84/4.48 X2072) = 26.84/4.48 binunion( 26.84/4.48 X2072, 26.84/4.48 X2070)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2074, 26.84/4.48 X2076]: 26.84/4.48 (breln1( 26.84/4.48 X2074, 26.84/4.48 X2076) => 26.84/4.48 (X2076 = 26.84/4.48 breln1invset( 26.84/4.48 X2074, 26.84/4.48 breln1invset( 26.84/4.48 X2074, 26.84/4.48 X2076))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2078, 26.84/4.48 X2080]: 26.84/4.48 (breln1( 26.84/4.48 X2078, 26.84/4.48 X2080) => 26.84/4.48 (![X2082]: 26.84/4.48 (breln1( 26.84/4.48 X2078, 26.84/4.48 X2082) => 26.84/4.48 (breln1invset( 26.84/4.48 X2078, 26.84/4.48 breln1compset( 26.84/4.48 X2078, 26.84/4.48 X2080, 26.84/4.48 X2082)) = 26.84/4.48 breln1compset( 26.84/4.48 X2078, 26.84/4.48 breln1invset( 26.84/4.48 X2078, 26.84/4.48 X2082), 26.84/4.48 breln1invset( 26.84/4.48 X2078, 26.84/4.48 X2080))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2084, 26.84/4.48 X2086]: 26.84/4.48 (breln1( 26.84/4.48 X2084, 26.84/4.48 X2086) => 26.84/4.48 (![X2088]: 26.84/4.48 (breln1( 26.84/4.48 X2084, 26.84/4.48 X2088) => 26.84/4.48 (![X2090]: 26.84/4.48 (breln1( 26.84/4.48 X2084, 26.84/4.48 X2090) => 26.84/4.48 (breln1compset( 26.84/4.48 X2084, 26.84/4.48 binunion( 26.84/4.48 X2086, 26.84/4.48 X2088), 26.84/4.48 X2090) = 26.84/4.48 binunion( 26.84/4.48 breln1compset( 26.84/4.48 X2084, 26.84/4.48 X2086, 26.84/4.48 X2090), 26.84/4.48 breln1compset( 26.84/4.48 X2084, 26.84/4.48 X2088, 26.84/4.48 X2090))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2092, 26.84/4.48 X2094]: 26.84/4.48 (breln1( 26.84/4.48 X2092, 26.84/4.48 X2094) => 26.84/4.48 (![X2096]: 26.84/4.48 (breln1( 26.84/4.48 X2092, 26.84/4.48 X2096) => 26.84/4.48 (![X2098]: 26.84/4.48 (breln1( 26.84/4.48 X2092, 26.84/4.48 X2098) => 26.84/4.48 (breln1compset( 26.84/4.48 X2092, 26.84/4.48 binunion( 26.84/4.48 X2094, 26.84/4.48 X2096), 26.84/4.48 X2098) = 26.84/4.48 binunion( 26.84/4.48 breln1invset( 26.84/4.48 X2092, 26.84/4.48 breln1compset( 26.84/4.48 X2092, 26.84/4.48 breln1invset( 26.84/4.48 X2092, 26.84/4.48 X2098), 26.84/4.48 breln1invset( 26.84/4.48 X2092, 26.84/4.48 X2096))), 26.84/4.48 breln1invset( 26.84/4.48 X2092, 26.84/4.48 breln1compset( 26.84/4.48 X2092, 26.84/4.48 breln1invset( 26.84/4.48 X2092, 26.84/4.48 X2098), 26.84/4.48 breln1invset( 26.84/4.48 X2092, 26.84/4.48 X2094))))))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2100, 26.84/4.48 X2102:( 26.84/4.48 ( 26.84/4.48 $i > $i))]: 26.84/4.48 (?[X2104]: 26.84/4.48 (![X2106]: 26.84/4.48 (in( 26.84/4.48 X2106, 26.84/4.48 X2104) <=> 26.84/4.48 (?[X2108]: 26.84/4.48 (in( 26.84/4.48 X2108, 26.84/4.48 X2100) & 26.84/4.48 (X2106 = 26.84/4.48 X2102( 26.84/4.48 X2108)))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2110, 26.84/4.48 X2112:( 26.84/4.48 ( 26.84/4.48 $i > $i))]: 26.84/4.48 (?[X2114]: 26.84/4.48 (( 26.84/4.48 ![X2122]: 26.84/4.48 (in( 26.84/4.48 X2122, 26.84/4.48 X2114) <=> 26.84/4.48 (?[X2124]: 26.84/4.48 (in( 26.84/4.48 X2124, 26.84/4.48 X2110) & 26.84/4.48 (X2122 = 26.84/4.48 X2112( 26.84/4.48 X2124)))))) & 26.84/4.48 (![X2116]: 26.84/4.48 (( 26.84/4.48 ![X2118]: 26.84/4.48 (in( 26.84/4.48 X2118, 26.84/4.48 X2116) <=> 26.84/4.48 (?[X2120]: 26.84/4.48 (in( 26.84/4.48 X2120, 26.84/4.48 X2110) & 26.84/4.48 (X2118 = 26.84/4.48 X2112( 26.84/4.48 X2120)))))) => 26.84/4.48 (X2114 = 26.84/4.48 X2116)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2126, 26.84/4.48 X2128:( 26.84/4.48 ( 26.84/4.48 $i > $i)), 26.84/4.48 X2130]: 26.84/4.48 (in( 26.84/4.48 X2130, 26.84/4.48 image1( 26.84/4.48 X2126, 26.84/4.48 ^[V_56]: 26.84/4.48 X2128( 26.84/4.48 V_56))) <=> 26.84/4.48 (?[X2132]: 26.84/4.48 (in( 26.84/4.48 X2132, 26.84/4.48 X2126) & 26.84/4.48 (X2130 = 26.84/4.48 X2128( 26.84/4.48 X2132)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2134, 26.84/4.48 X2136:( 26.84/4.48 ( 26.84/4.48 $i > $i)), 26.84/4.48 X2138]: 26.84/4.48 (in( 26.84/4.48 X2138, 26.84/4.48 image1( 26.84/4.48 X2134, 26.84/4.48 ^[V_57]: 26.84/4.48 X2136( 26.84/4.48 V_57))) => 26.84/4.48 (?[X2140]: 26.84/4.48 (in( 26.84/4.48 X2140, 26.84/4.48 X2134) & 26.84/4.48 (X2138 = 26.84/4.48 X2136( 26.84/4.48 X2140)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X2142, 26.84/4.48 X2144:( 26.84/4.48 ( 26.84/4.48 $i > $i)), 26.84/4.48 X2146]: 26.84/4.48 (( 26.84/4.48 ?[X2148]: 26.84/4.48 (in( 26.84/4.48 X2148, 26.84/4.48 X2142) & 26.84/4.48 (X2146 = 26.84/4.48 X2144( 26.84/4.48 X2148)))) => 26.84/4.48 in( 26.84/4.48 X2146, 26.84/4.48 image1( 26.84/4.48 X2142, 26.84/4.48 ^[V_58]: 26.84/4.48 X2144( 26.84/4.48 V_58))))) => 26.84/4.48 ( 26.84/4.48 ![X2150, 26.84/4.48 X2152, 26.84/4.48 X2154]: 26.84/4.48 (in( 26.84/4.48 X2154, 26.84/4.48 funcSet( 26.84/4.48 X2150, 26.84/4.48 X2152)) => 26.84/4.48 (injective( 26.84/4.48 X2150, 26.84/4.48 X2152, 26.84/4.48 X2154) => 26.84/4.48 in( 26.84/4.48 X2154, 26.84/4.48 dsetconstr( 26.84/4.48 funcSet( 26.84/4.48 X2150, 26.84/4.48 X2152), 26.84/4.48 ^[V_59]: 26.84/4.48 injective( 26.84/4.48 X2150, 26.84/4.48 X2152, 26.84/4.48 V_59))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 26.84/4.48 tff(zf_stmt_1, type, zip_tseitin_6 : ($i * $i * ($i > $i) * $i) > $o). 26.84/4.48 tff(zf_stmt_2, axiom, 26.84/4.48 (zip_tseitin_6(X2108,X2106,X2102,X2100) <=> 26.84/4.48 ((X2106 = X2102(X2108)) & in(X2108,X2100)))). 26.84/4.48 tff(zf_stmt_3, type, zip_tseitin_5 : ($i * ($i > $o)) > $o). 26.84/4.48 tff(zf_stmt_4, axiom, 26.84/4.48 (zip_tseitin_5(X422,X414) <=> 26.84/4.48 ((![X424]: zip_tseitin_4(X424,X422,X414)) & X414(X422)))). 26.84/4.48 tff(zf_stmt_5, type, zip_tseitin_4 : ($i * $i * ($i > $o)) > $o). 26.84/4.48 tff(zf_stmt_6, axiom, 26.84/4.48 (zip_tseitin_4(X424,X422,X414) <=> (X414(X424) => (X422 = X424)))). 26.84/4.48 tff(zf_stmt_7, type, zip_tseitin_3 : ($i * $i * $i * ($i * $i) > $o) > $o). 26.84/4.48 tff(zf_stmt_8, axiom, 26.84/4.48 (zip_tseitin_3(X52,X50,X40,X38) <=> (X38(X52,X50) & in(X52,X40)))). 26.84/4.48 tff(zf_stmt_9, type, zip_tseitin_2 : ($i * $i * $i) > $o). 26.84/4.48 tff(zf_stmt_10, axiom, 26.84/4.48 (zip_tseitin_2(X28,X26,X24) <=> (in(X28,X24) & in(X26,X28)))). 26.84/4.48 tff(zf_stmt_11, type, zip_tseitin_1 : ($i * $i * $i) > $o). 26.84/4.48 tff(zf_stmt_12, axiom, 26.84/4.48 (zip_tseitin_1(X22,X20,X18) <=> (in(X22,X20) => in(X22,X18)))). 26.84/4.48 tff(zf_stmt_13, type, zip_tseitin_0 : ($i * $i * $i) > $o). 26.84/4.48 tff(zf_stmt_14, axiom, 26.84/4.48 (zip_tseitin_0(X16,X14,X12) <=> ((X16 = X12) | in(X16,X14)))). 26.84/4.48 tff(zf_stmt_15, conjecture, 26.84/4.48 ((![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))) => 26.84/4.48 ((![X10]: (~in(X10,emptyset))) => 26.84/4.48 ((![X12,X14,X16]: 26.84/4.48 (in(X16,setadjoin(X12,X14)) <=> zip_tseitin_0(X16,X14,X12))) => 26.84/4.48 ((![X18,X20]: 26.84/4.48 (in(X20,powerset(X18)) <=> (![X22]: zip_tseitin_1(X22,X20,X18)))) => 26.84/4.48 ((![X24,X26]: 26.84/4.48 (in(X26,setunion(X24)) <=> (?[X28]: zip_tseitin_2(X28,X26,X24)))) => 26.84/4.48 (in(emptyset,omega) => 26.84/4.48 ((![X30]: (in(X30,omega) => in(setadjoin(X30,X30),omega))) => 26.84/4.48 ((![X32]: 26.84/4.48 ((in(emptyset,X32) & 26.84/4.48 (![X34]: 26.84/4.48 ((in(X34,omega) & in(X34,X32)) => 26.84/4.48 in(setadjoin(X34,X34),X32)))) => 26.84/4.48 (![X36]: (in(X36,omega) => in(X36,X32))))) => 26.84/4.48 ((![X38:(($i * $i) > $o),X40]: 26.84/4.48 ((![X42]: 26.84/4.48 (in(X42,X40) => 26.84/4.48 (?[X44]: 26.84/4.48 ((![X46]: (X38(X42,X46) => (X44 = X46))) & X38(X42,X44))))) => 26.84/4.48 (?[X48]: 26.84/4.48 (![X50]: 26.84/4.48 (in(X50,X48) <=> 26.84/4.48 (?[X52]: zip_tseitin_3(X52,X50,X40,X38))))))) => 26.84/4.48 ((![X54]: 26.84/4.48 ((?[X56]: in(X56,X54)) => 26.84/4.48 (?[X58]: 26.84/4.48 ((~(?[X60]: (in(X60,X54) & in(X60,X58)))) & in(X58,X54))))) => 26.84/4.48 ((![X62]: 26.84/4.48 (?[X64]: 26.84/4.48 ((![X66]: 26.84/4.48 (((![X68]: (in(X68,X66) => in(X68,X62))) & 26.84/4.48 (?[X70]: in(X70,X66))) => 26.84/4.48 (?[X72,X74]: 26.84/4.48 ((![X76]: 26.84/4.48 (in(X76,X64) => 26.84/4.48 ((![X78]: (in(X78,X76) => in(X78,X72))) | 26.84/4.48 in(X74,X76)))) & 26.84/4.48 (~(?[X80]: (in(X80,X66) & in(X80,X72)))) & 26.84/4.48 in(X74,X66) & in(X72,X64))))) & 26.84/4.48 (![X82,X84]: 26.84/4.48 ((in(X82,X64) & in(X84,X64)) => 26.84/4.48 ((![X86]: (in(X86,X82) => in(X86,X84))) | 26.84/4.48 (![X88]: (in(X88,X84) => in(X88,X82)))))) & 26.84/4.48 (![X90,X92]: 26.84/4.48 ((in(X90,X62) & in(X92,X62)) => 26.84/4.48 ((![X94]: 26.84/4.48 (in(X94,X64) => (in(X90,X94) <=> in(X92,X94)))) => 26.84/4.48 (X90 = X92)))) & 26.84/4.48 (![X96]: 26.84/4.48 (in(X96,X64) => (![X98]: (in(X98,X96) => in(X98,X62)))))))) => 26.84/4.48 ((![X100:(($i > $o))]: 26.84/4.48 ((?[X102]: 26.84/4.48 ((![X104]: (X100(X104) => (X102 = X104))) & X100(X102))) => 26.84/4.48 X100(descr(^[V_1]: X100(V_1))))) => 26.84/4.48 ((![X106,X108:(($i > $o)),X110]: 26.84/4.48 (in(X110,X106) => 26.84/4.48 (X108(X110) => in(X110,dsetconstr(X106,^[V_2]: X108(V_2)))))) => 26.84/4.48 ((![X112,X114:(($i > $o)),X116]: 26.84/4.48 (in(X116,dsetconstr(X112,^[V_3]: X114(V_3))) => 26.84/4.48 in(X116,X112))) => 26.84/4.48 ((![X118,X120:(($i > $o)),X122]: 26.84/4.48 (in(X122,dsetconstr(X118,^[V_4]: X120(V_4))) => 26.84/4.48 X120(X122))) => 26.84/4.48 ((![X124:(($i > $o))]: 26.84/4.48 ((?[X126]: 26.84/4.48 ((![X128]: (X124(X128) => (X126 = X128))) & 26.84/4.48 X124(X126))) => 26.84/4.48 (?[X130]: 26.84/4.48 ((![X132]: (X124(X132) => (X130 = X132))) & 26.84/4.48 X124(X130))))) => 26.84/4.48 ((![X134:$o,X136]: (in(X136,prop2set(X134)) => X134)) => 26.84/4.48 ((![X138]: (in(X138,emptyset) => (![X140:$o]: X140))) => 26.84/4.48 ((![X142]: (~in(X142,emptyset))) => 26.84/4.48 ((![X144]: (~in(X144,emptyset))) => 26.84/4.48 ((![X146:(($i > $o))]: 26.84/4.48 ((?[X148]: 26.84/4.48 ((![X150]: (X146(X150) => (X148 = X150))) & 26.84/4.48 X146(X148))) => 26.84/4.48 (?[X152]: X146(X152)))) => 26.84/4.48 ((![X154,X156]: 26.84/4.48 ((![X158]: (in(X158,X154) => in(X158,X156))) => 26.84/4.48 ((![X160]: (in(X160,X156) => in(X160,X154))) => 26.84/4.48 (X154 = X156)))) => 26.84/4.48 ((![X162]: 26.84/4.48 ((![X164]: (~in(X164,X162))) => (X162 = emptyset))) => 26.84/4.48 ((![X166]: 26.84/4.48 ((![X168]: (~in(X168,X166))) => 26.84/4.48 (X166 = emptyset))) => 26.84/4.48 ((![X170,X172:(($i > $o)),X174]: 26.84/4.48 (in(X174,X170) => 26.84/4.48 (in(X174,dsetconstr(X170,^[V_5]: X172(V_5))) <=> 26.84/4.48 X172(X174)))) => 26.84/4.48 ((![X176]: 26.84/4.48 ((X176 != emptyset) => 26.84/4.48 (?[X178]: in(X178,X176)))) => 26.84/4.48 ((![X180,X182:(($i > $o)),X184]: 26.84/4.48 (in(X184,X180) => 26.84/4.48 (X182(X184) => 26.84/4.48 (dsetconstr(X180,^[V_6]: X182(V_6)) != 26.84/4.48 emptyset)))) => 26.84/4.48 ((![X186]: 26.84/4.48 ((?[X188]: in(X188,X186)) => 26.84/4.48 (X186 != emptyset))) => 26.84/4.48 ((![X190,X192]: in(X190,setadjoin(X190,X192))) => 26.84/4.48 (in(emptyset,setadjoin(emptyset,emptyset)) => 26.84/4.48 ((![X194,X196,X198]: 26.84/4.48 (in(X198,X196) => 26.84/4.48 in(X198,setadjoin(X194,X196)))) => 26.84/4.48 ((![X200,X202,X204]: 26.84/4.48 (in(X204,setadjoin(X200,X202)) => 26.84/4.48 (![X206:$o]: 26.84/4.48 (((X204 = X200) => X206) => 26.84/4.48 ((in(X204,X202) => X206) => X206))))) => 26.84/4.48 ((![X208,X210,X212]: 26.84/4.48 (in(X212,setadjoin(X208,X210)) => 26.84/4.48 ((X212 = X208) | in(X212,X210)))) => 26.84/4.48 ((![X214]: 26.84/4.48 (dsetconstr(X214,^[V_7]: $true) = X214)) => 26.84/4.48 ((![X216,X218]: 26.84/4.48 ((![X220]: 26.84/4.48 (in(X220,X218) => in(X220,X216))) => 26.84/4.48 in(X218,powerset(X216)))) => 26.84/4.48 ((![X222]: in(emptyset,powerset(X222))) => 26.84/4.48 ((![X224]: in(emptyset,powerset(X224))) => 26.84/4.48 ((![X226,X228,X230]: 26.84/4.48 (in(X228,powerset(X226)) => 26.84/4.48 (in(X230,X228) => in(X230,X226)))) => 26.84/4.48 ((![X232,X234,X236]: 26.84/4.48 (in(X234,X236) => 26.84/4.48 (in(X236,X232) => 26.84/4.48 in(X234,setunion(X232))))) => 26.84/4.48 ((![X238,X240]: 26.84/4.48 (in(X240,setunion(X238)) => 26.84/4.48 (![X242:$o]: 26.84/4.48 ((![X244]: 26.84/4.48 (in(X240,X244) => 26.84/4.48 (in(X244,X238) => X242))) => 26.84/4.48 X242)))) => 26.84/4.48 ((![X246,X248]: 26.84/4.48 (in(X248,X246) => 26.84/4.48 in(X248, 26.84/4.48 powerset(setunion(X246))))) => 26.84/4.48 ((![X250:(($i > $o))]: 26.84/4.48 ((?[X252]: 26.84/4.48 ((![X254]: 26.84/4.48 (X250(X254) => 26.84/4.48 (X252 = X254))) & 26.84/4.48 X250(X252))) => 26.84/4.48 (?[X256]: 26.84/4.48 (![X258]: 26.84/4.48 (X250(X258) <=> 26.84/4.48 (X258 = X256)))))) => 26.84/4.48 ((![X260]: 26.84/4.48 ((X260 != emptyset) => 26.84/4.48 (?[X262]: in(X262,X260)))) => 26.84/4.48 ((![X264,X266]: 26.84/4.48 (in(X264, 26.84/4.48 setadjoin(X266,emptyset)) => 26.84/4.48 (X264 = X266))) => 26.84/4.48 ((![X268,X270]: 26.84/4.48 ((X268 != X270) => 26.84/4.48 (~ 26.84/4.48 in(X270, 26.84/4.48 setadjoin(X268, 26.84/4.48 emptyset))))) => 26.84/4.48 ((![X272,X274]: 26.84/4.48 ((X272 = X274) => 26.84/4.48 in(X272, 26.84/4.48 setadjoin(X274, 26.84/4.48 emptyset)))) => 26.84/4.48 ((![X276,X278]: 26.84/4.48 (in(X276, 26.84/4.48 setadjoin(X278, 26.84/4.48 emptyset)) => 26.84/4.48 in(X278, 26.84/4.48 setadjoin(X276, 26.84/4.48 emptyset)))) => 26.84/4.48 ((![X280,X282,X284]: 26.84/4.48 (in(X284, 26.84/4.48 setadjoin(X280, 26.84/4.48 setadjoin( 26.84/4.48 X282, 26.84/4.48 emptyset))) => 26.84/4.48 ((X284 = X280) | 26.84/4.48 (X284 = X282)))) => 26.84/4.48 ((![X286,X288]: 26.84/4.48 in(X286, 26.84/4.48 setadjoin(X286, 26.84/4.48 setadjoin( 26.84/4.48 X288, 26.84/4.48 emptyset)))) => 26.84/4.48 ((![X290,X292]: 26.84/4.48 in(X292, 26.84/4.48 setadjoin(X290, 26.84/4.48 setadjoin( 26.84/4.48 X292, 26.84/4.48 emptyset)))) => 26.84/4.48 ((![X294,X296:(($i > $o))]: 26.84/4.48 ((?[X298]: 26.84/4.48 (X296(X298) & 26.84/4.48 in(X298,X294))) => 26.84/4.48 (dsetconstr( 26.84/4.48 X294, 26.84/4.48 ^[V_8]: X296(V_8)) != 26.84/4.48 emptyset))) => 26.84/4.48 ((![X300:(($i > $o)), 26.84/4.48 X302]: 26.84/4.48 (in(X302,emptyset) => 26.84/4.48 X300(X302))) => 26.84/4.48 ((![X304, 26.84/4.48 X306:(($i > $o))]: 26.84/4.48 ((~ 26.84/4.48 (![X308]: 26.84/4.48 (in(X308,X304) => 26.84/4.48 X306(X308)))) => 26.84/4.48 (?[X310]: 26.84/4.48 ((~X306(X310)) & 26.84/4.48 in(X310,X304))))) => 26.84/4.48 ((![X312, 26.84/4.48 X314:(($i > $o))]: 26.84/4.48 ((![X316]: 26.84/4.48 (in(X316,X312) => 26.84/4.48 (~X314(X316)))) => 26.84/4.48 (~ 26.84/4.48 (?[X318]: 26.84/4.48 (X314(X318) & 26.84/4.48 in( 26.84/4.48 X318,X312)))))) => 26.84/4.48 ((![X320, 26.84/4.48 X322:(($i > $o))]: 26.84/4.48 ((~ 26.84/4.48 (?[X324]: 26.84/4.48 (X322(X324) & 26.84/4.48 in( 26.84/4.48 X324,X320)))) => 26.84/4.48 (![X326]: 26.84/4.48 (in(X326,X320) => 26.84/4.48 (~X322(X326)))))) => 26.84/4.48 ((![X328, 26.84/4.48 X330:(($i > $o))]: 26.84/4.48 ((?[X332]: 26.84/4.48 ((~ 26.84/4.48 X330( 26.84/4.48 X332)) & 26.84/4.48 in( 26.84/4.48 X332,X328))) => 26.84/4.48 (~ 26.84/4.48 (![X334]: 26.84/4.48 (in( 26.84/4.48 X334,X328) => 26.84/4.48 X330( 26.84/4.48 X334)))))) => 26.84/4.48 ((![X336:$o]: 26.84/4.48 (X336 => 26.84/4.48 in(emptyset, 26.84/4.48 prop2set( 26.84/4.48 X336)))) => 26.84/4.48 ((![X338:$o]: 26.84/4.48 (X338 => 26.84/4.48 set2prop( 26.84/4.48 prop2set( 26.84/4.48 X338)))) => 26.84/4.48 ((![X340, 26.84/4.48 X342:( 26.84/4.48 ($i > $o))]: 26.84/4.48 ((~ 26.84/4.48 (?[X344]: 26.84/4.48 (X342( 26.84/4.48 X344) & 26.84/4.48 in( 26.84/4.48 X344,X340)))) => 26.84/4.48 (![X346]: 26.84/4.48 ( 26.84/4.48 in( 26.84/4.48 X346,X340) => 26.84/4.48 ( 26.84/4.48 ~ 26.84/4.48 X342( 26.84/4.48 X346)))))) => 26.84/4.48 ((![X348, 26.84/4.48 X350:( 26.84/4.48 ($i > $o))]: 26.84/4.48 ((~ 26.84/4.48 ( 26.84/4.48 ![X352]: 26.84/4.48 (in( 26.84/4.48 X352,X348) => 26.84/4.48 X350( 26.84/4.48 X352)))) => 26.84/4.48 (?[X354]: 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 X350( 26.84/4.48 X354)) & 26.84/4.48 in( 26.84/4.48 X354,X348))))) => 26.84/4.48 ((![X356:( 26.84/4.48 ($i > $o))]: 26.84/4.48 ((?[X358]: 26.84/4.48 (( 26.84/4.48 ![X360]: 26.84/4.48 (X356( 26.84/4.48 X360) => 26.84/4.48 (X358 = 26.84/4.48 X360))) & 26.84/4.48 X356( 26.84/4.48 X358))) => 26.84/4.48 (?[X362]: 26.84/4.48 (( 26.84/4.48 ![X364]: 26.84/4.48 (X356( 26.84/4.48 X364) => 26.84/4.48 (X362 = 26.84/4.48 X364))) & 26.84/4.48 X356( 26.84/4.48 X362))))) => 26.84/4.48 ((![X366:( 26.84/4.48 ($i > $o))]: 26.84/4.48 (( 26.84/4.48 ?[X368]: 26.84/4.48 X366( 26.84/4.48 X368)) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X370, 26.84/4.48 X372]: 26.84/4.48 (X366( 26.84/4.48 X370) => 26.84/4.48 (X366( 26.84/4.48 X372) => 26.84/4.48 (X370 = 26.84/4.48 X372)))) => 26.84/4.48 ( 26.84/4.48 ?[X374]: 26.84/4.48 (( 26.84/4.48 ![X376]: 26.84/4.48 (X366( 26.84/4.48 X376) => 26.84/4.48 (X374 = 26.84/4.48 X376))) & 26.84/4.48 X366( 26.84/4.48 X374)))))) => 26.84/4.48 ((![X378:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ?[X380]: 26.84/4.48 (![X382]: 26.84/4.48 (X378( 26.84/4.48 X382) <=> 26.84/4.48 (X382 = 26.84/4.48 X380)))) => 26.84/4.48 ( 26.84/4.48 ?[X384]: 26.84/4.48 (( 26.84/4.48 ![X386]: 26.84/4.48 (X378( 26.84/4.48 X386) => 26.84/4.48 (X384 = 26.84/4.48 X386))) & 26.84/4.48 X378( 26.84/4.48 X384))))) => 26.84/4.48 ((![X388, 26.84/4.48 X390]: 26.84/4.48 (( 26.84/4.48 X388 = 26.84/4.48 X390) => 26.84/4.48 (![X392, 26.84/4.48 X394]: 26.84/4.48 (( 26.84/4.48 X392 = 26.84/4.48 X394) => 26.84/4.48 (in( 26.84/4.48 X392,X388) => 26.84/4.48 in( 26.84/4.48 X394,X390)))))) => 26.84/4.48 ((![X396, 26.84/4.48 X398]: 26.84/4.48 (( 26.84/4.48 X396 = 26.84/4.48 X398) => 26.84/4.48 (![X400, 26.84/4.48 X402]: 26.84/4.48 (( 26.84/4.48 X400 = 26.84/4.48 X402) => 26.84/4.48 (in( 26.84/4.48 X400,X396) <=> 26.84/4.48 in( 26.84/4.48 X402,X398)))))) => 26.84/4.48 (( 26.84/4.48 ![X404:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 (( 26.84/4.48 ?[X406]: 26.84/4.48 (( 26.84/4.48 ![X408]: 26.84/4.48 (X404( 26.84/4.48 X408) => 26.84/4.48 (X406 = 26.84/4.48 X408))) & 26.84/4.48 X404( 26.84/4.48 X406))) => 26.84/4.48 (![X410, 26.84/4.48 X412]: 26.84/4.48 (X404( 26.84/4.48 X410) => 26.84/4.48 (X404( 26.84/4.48 X412) => 26.84/4.48 (X410 = 26.84/4.48 X412)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X414:( 26.84/4.48 ( 26.84/4.48 $i > $o)), 26.84/4.48 X416:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 (( 26.84/4.48 ![X418, 26.84/4.48 X420]: 26.84/4.48 (( 26.84/4.48 X418 = 26.84/4.48 X420) => 26.84/4.48 (X414( 26.84/4.48 X418) <=> 26.84/4.48 X416( 26.84/4.48 X420)))) => 26.84/4.48 (( 26.84/4.48 ?[X422]: 26.84/4.48 zip_tseitin_5( 26.84/4.48 X422,X414)) <=> 26.84/4.48 (?[X426]: 26.84/4.48 zip_tseitin_5( 26.84/4.48 X426,X416))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 emptyset = 26.84/4.48 emptyset) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X430, 26.84/4.48 X432]: 26.84/4.48 (( 26.84/4.48 X430 = 26.84/4.48 X432) => 26.84/4.48 (![X434, 26.84/4.48 X436]: 26.84/4.48 (( 26.84/4.48 X434 = 26.84/4.48 X436) => 26.84/4.48 (setadjoin( 26.84/4.48 X430,X434) = 26.84/4.48 setadjoin( 26.84/4.48 X432,X436)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X438, 26.84/4.48 X440]: 26.84/4.48 (( 26.84/4.48 X438 = 26.84/4.48 X440) => 26.84/4.48 (powerset( 26.84/4.48 X438) = 26.84/4.48 powerset( 26.84/4.48 X440)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X442, 26.84/4.48 X444]: 26.84/4.48 (( 26.84/4.48 X442 = 26.84/4.48 X444) => 26.84/4.48 (setunion( 26.84/4.48 X442) = 26.84/4.48 setunion( 26.84/4.48 X444)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 omega = 26.84/4.48 omega) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X446:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 (( 26.84/4.48 ?[X448]: 26.84/4.48 (( 26.84/4.48 ![X450]: 26.84/4.48 (X446( 26.84/4.48 X450) => 26.84/4.48 (X448 = 26.84/4.48 X450))) & 26.84/4.48 X446( 26.84/4.48 X448))) => 26.84/4.48 (![X452, 26.84/4.48 X454]: 26.84/4.48 (X446( 26.84/4.48 X452) => 26.84/4.48 (X446( 26.84/4.48 X454) => 26.84/4.48 (X452 = 26.84/4.48 X454)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X456:( 26.84/4.48 ( 26.84/4.48 $i > $o)), 26.84/4.48 X458:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 (( 26.84/4.48 ![X460, 26.84/4.48 X462]: 26.84/4.48 (( 26.84/4.48 X460 = 26.84/4.48 X462) => 26.84/4.48 (X456( 26.84/4.48 X460) <=> 26.84/4.48 X458( 26.84/4.48 X462)))) => 26.84/4.48 (( 26.84/4.48 ?[X464]: 26.84/4.48 (( 26.84/4.48 ![X466]: 26.84/4.48 (X456( 26.84/4.48 X466) => 26.84/4.48 (X464 = 26.84/4.48 X466))) & 26.84/4.48 X456( 26.84/4.48 X464))) => 26.84/4.48 (( 26.84/4.48 ?[X468]: 26.84/4.48 (( 26.84/4.48 ![X470]: 26.84/4.48 (X458( 26.84/4.48 X470) => 26.84/4.48 (X468 = 26.84/4.48 X470))) & 26.84/4.48 X458( 26.84/4.48 X468))) => 26.84/4.48 (descr( 26.84/4.48 ^[V_9]: 26.84/4.48 X456(V_9)) = 26.84/4.48 descr( 26.84/4.48 ^[V_10]: 26.84/4.48 X458( 26.84/4.48 V_10))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X472, 26.84/4.48 X474]: 26.84/4.48 (( 26.84/4.48 X472 = 26.84/4.48 X474) => 26.84/4.48 (![X476:( 26.84/4.48 ( 26.84/4.48 $i > $o)), 26.84/4.48 X478:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 (( 26.84/4.48 ![X480]: 26.84/4.48 (in( 26.84/4.48 X480,X472) => 26.84/4.48 (![X482]: 26.84/4.48 (in( 26.84/4.48 X482,X474) => 26.84/4.48 (( 26.84/4.48 X480 = 26.84/4.48 X482) => 26.84/4.48 (X476( 26.84/4.48 X480) <=> 26.84/4.48 X478( 26.84/4.48 X482))))))) => 26.84/4.48 (dsetconstr( 26.84/4.48 X472, 26.84/4.48 ^[V_11]: 26.84/4.48 X476( 26.84/4.48 V_11)) = 26.84/4.48 dsetconstr( 26.84/4.48 X474, 26.84/4.48 ^[V_12]: 26.84/4.48 X478( 26.84/4.48 V_12))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X484, 26.84/4.48 X486]: 26.84/4.48 (( 26.84/4.48 ![X488]: 26.84/4.48 (in( 26.84/4.48 X488,X484) => 26.84/4.48 in( 26.84/4.48 X488,X486))) => 26.84/4.48 subset( 26.84/4.48 X484,X486))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X490, 26.84/4.48 X492]: 26.84/4.48 (( 26.84/4.48 X490 = 26.84/4.48 X492) => 26.84/4.48 subset( 26.84/4.48 X492,X490))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X494, 26.84/4.48 X496]: 26.84/4.48 (( 26.84/4.48 X494 = 26.84/4.48 X496) => 26.84/4.48 subset( 26.84/4.48 X494,X496))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X498, 26.84/4.48 X500]: 26.84/4.48 (( 26.84/4.48 ![X502]: 26.84/4.48 (in( 26.84/4.48 X502,X498) => 26.84/4.48 in( 26.84/4.48 X502,X500))) => 26.84/4.48 subset( 26.84/4.48 X498,X500))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X504]: 26.84/4.48 subset( 26.84/4.48 emptyset, 26.84/4.48 X504)) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X506, 26.84/4.48 X508,X510]: 26.84/4.48 (subset( 26.84/4.48 X506,X508) => 26.84/4.48 (in( 26.84/4.48 X510,X506) => 26.84/4.48 in( 26.84/4.48 X510,X508)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X512, 26.84/4.48 X514,X516]: 26.84/4.48 (subset( 26.84/4.48 X512,X514) => 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X516,X514)) => 26.84/4.48 (~ 26.84/4.48 in( 26.84/4.48 X516,X512))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X518, 26.84/4.48 X520,X522]: 26.84/4.48 (in( 26.84/4.48 X522,X518) => 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X522,X520)) => 26.84/4.48 (~ 26.84/4.48 subset( 26.84/4.48 X518,X520))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X524, 26.84/4.48 X526]: 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 subset( 26.84/4.48 X524,X526)) => 26.84/4.48 (X524 != 26.84/4.48 X526))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X528, 26.84/4.48 X530,X532]: 26.84/4.48 (in( 26.84/4.48 X532,X528) => 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X532,X530)) => 26.84/4.48 (X528 != 26.84/4.48 X530)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X534]: 26.84/4.48 subset( 26.84/4.48 X534,X534)) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X536, 26.84/4.48 X538,X540]: 26.84/4.48 (subset( 26.84/4.48 X536,X538) => 26.84/4.48 (subset( 26.84/4.48 X538,X540) => 26.84/4.48 subset( 26.84/4.48 X536,X540)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X542, 26.84/4.48 X544]: 26.84/4.48 subset( 26.84/4.48 X544, 26.84/4.48 setadjoin( 26.84/4.48 X542,X544))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X546, 26.84/4.48 X548,X550]: 26.84/4.48 (subset( 26.84/4.48 X546,X550) => 26.84/4.48 subset( 26.84/4.48 X546, 26.84/4.48 setadjoin( 26.84/4.48 X548,X550)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X552, 26.84/4.48 X554]: 26.84/4.48 (subset( 26.84/4.48 X552,X554) => 26.84/4.48 in( 26.84/4.48 X552, 26.84/4.48 powerset( 26.84/4.48 X554)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X556, 26.84/4.48 X558]: 26.84/4.48 (subset( 26.84/4.48 X556,X558) => 26.84/4.48 (subset( 26.84/4.48 X558,X556) => 26.84/4.48 (X556 = 26.84/4.48 X558)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X560]: 26.84/4.48 (subset( 26.84/4.48 X560, 26.84/4.48 emptyset) => 26.84/4.48 (X560 = 26.84/4.48 emptyset))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X562, 26.84/4.48 X564]: 26.84/4.48 (subset( 26.84/4.48 X564,X562) => 26.84/4.48 in( 26.84/4.48 X564, 26.84/4.48 powerset( 26.84/4.48 X562)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X566, 26.84/4.48 X568]: 26.84/4.48 (in( 26.84/4.48 X568, 26.84/4.48 powerset( 26.84/4.48 X566)) => 26.84/4.48 subset( 26.84/4.48 X568,X566))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X570]: 26.84/4.48 in( 26.84/4.48 X570, 26.84/4.48 powerset( 26.84/4.48 X570))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X572, 26.84/4.48 X574]: 26.84/4.48 (subset( 26.84/4.48 X572,X574) => 26.84/4.48 subset( 26.84/4.48 powerset( 26.84/4.48 X572), 26.84/4.48 powerset( 26.84/4.48 X574)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X576, 26.84/4.48 X578:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 in( 26.84/4.48 dsetconstr( 26.84/4.48 X576, 26.84/4.48 ^[V_13]: 26.84/4.48 X578( 26.84/4.48 V_13)), 26.84/4.48 powerset( 26.84/4.48 X576))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X580, 26.84/4.48 X582:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 subset( 26.84/4.48 dsetconstr( 26.84/4.48 X580, 26.84/4.48 ^[V_14]: 26.84/4.48 X582( 26.84/4.48 V_14)), 26.84/4.48 X580)) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X584, 26.84/4.48 X586,X588]: 26.84/4.48 (in( 26.84/4.48 X588,X584) => 26.84/4.48 in( 26.84/4.48 X588, 26.84/4.48 binunion( 26.84/4.48 X584,X586)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X590, 26.84/4.48 X592]: 26.84/4.48 in( 26.84/4.48 X592, 26.84/4.48 setadjoin( 26.84/4.48 X590, 26.84/4.48 setadjoin( 26.84/4.48 X592, 26.84/4.48 emptyset)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X594, 26.84/4.48 X596,X598]: 26.84/4.48 (in( 26.84/4.48 X598,X596) => 26.84/4.48 in( 26.84/4.48 X598, 26.84/4.48 binunion( 26.84/4.48 X594,X596)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X600, 26.84/4.48 X602, 26.84/4.48 X604, 26.84/4.48 X606:$o]: 26.84/4.48 (in( 26.84/4.48 X604, 26.84/4.48 binunion( 26.84/4.48 X600,X602)) => 26.84/4.48 (( 26.84/4.48 in( 26.84/4.48 X604,X600) => 26.84/4.48 X606) => 26.84/4.48 (( 26.84/4.48 in( 26.84/4.48 X604,X602) => 26.84/4.48 X606) => 26.84/4.48 X606)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X608, 26.84/4.48 X610,X612]: 26.84/4.48 (in( 26.84/4.48 X612, 26.84/4.48 binunion( 26.84/4.48 X608,X610)) => 26.84/4.48 (in( 26.84/4.48 X612,X608) | 26.84/4.48 in( 26.84/4.48 X612,X610)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X614, 26.84/4.48 X616]: 26.84/4.48 subset( 26.84/4.48 X614, 26.84/4.48 binunion( 26.84/4.48 X614,X616))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X618, 26.84/4.48 X620]: 26.84/4.48 subset( 26.84/4.48 X620, 26.84/4.48 binunion( 26.84/4.48 X618,X620))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X622, 26.84/4.48 X624,X626]: 26.84/4.48 (in( 26.84/4.48 X626,X622) => 26.84/4.48 (in( 26.84/4.48 X626,X624) => 26.84/4.48 in( 26.84/4.48 X626, 26.84/4.48 binintersect( 26.84/4.48 X622,X624))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X628, 26.84/4.48 X630,X632]: 26.84/4.48 (subset( 26.84/4.48 X632,X628) => 26.84/4.48 (subset( 26.84/4.48 X632,X630) => 26.84/4.48 subset( 26.84/4.48 X632, 26.84/4.48 binintersect( 26.84/4.48 X628,X630))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X634, 26.84/4.48 X636,X638]: 26.84/4.48 (in( 26.84/4.48 X638, 26.84/4.48 binintersect( 26.84/4.48 X634,X636)) => 26.84/4.48 in( 26.84/4.48 X638,X634))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X640, 26.84/4.48 X642]: 26.84/4.48 subset( 26.84/4.48 binintersect( 26.84/4.48 X640,X642), 26.84/4.48 X640)) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X644, 26.84/4.48 X646]: 26.84/4.48 (subset( 26.84/4.48 X644,X646) => 26.84/4.48 (binintersect( 26.84/4.48 X644,X646) = 26.84/4.48 X644))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X648, 26.84/4.48 X650]: 26.84/4.48 (( 26.84/4.48 binintersect( 26.84/4.48 X648,X650) = 26.84/4.48 X650) => 26.84/4.48 subset( 26.84/4.48 X650,X648))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X652, 26.84/4.48 X654,X656]: 26.84/4.48 (in( 26.84/4.48 X656, 26.84/4.48 binintersect( 26.84/4.48 X652,X654)) => 26.84/4.48 in( 26.84/4.48 X656,X654))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X658, 26.84/4.48 X660]: 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 ( 26.84/4.48 ?[X662]: 26.84/4.48 (in( 26.84/4.48 X662,X660) & 26.84/4.48 in( 26.84/4.48 X662,X658)))) => 26.84/4.48 (binintersect( 26.84/4.48 X658,X660) = 26.84/4.48 emptyset))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X664, 26.84/4.48 X666]: 26.84/4.48 subset( 26.84/4.48 binintersect( 26.84/4.48 X664,X666), 26.84/4.48 X666)) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X668, 26.84/4.48 X670]: 26.84/4.48 (subset( 26.84/4.48 X670,X668) => 26.84/4.48 (binintersect( 26.84/4.48 X668,X670) = 26.84/4.48 X670))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X672, 26.84/4.48 X674]: 26.84/4.48 (( 26.84/4.48 binintersect( 26.84/4.48 X672,X674) = 26.84/4.48 X672) => 26.84/4.48 subset( 26.84/4.48 X672,X674))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X676, 26.84/4.48 X678,X680]: 26.84/4.48 (binintersect( 26.84/4.48 X676, 26.84/4.48 binunion( 26.84/4.48 X678,X680)) = 26.84/4.48 binunion( 26.84/4.48 binintersect( 26.84/4.48 X676,X678), 26.84/4.48 binintersect( 26.84/4.48 X676,X680)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X682, 26.84/4.48 X684,X686]: 26.84/4.48 (in( 26.84/4.48 X686,X682) => 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X686,X684)) => 26.84/4.48 in( 26.84/4.48 X686, 26.84/4.48 setminus( 26.84/4.48 X682,X684))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X688, 26.84/4.48 X690,X692]: 26.84/4.48 (in( 26.84/4.48 X692, 26.84/4.48 setminus( 26.84/4.48 X688,X690)) => 26.84/4.48 in( 26.84/4.48 X692,X688))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X694, 26.84/4.48 X696,X698]: 26.84/4.48 (in( 26.84/4.48 X698, 26.84/4.48 setminus( 26.84/4.48 X694,X696)) => 26.84/4.48 (~ 26.84/4.48 in( 26.84/4.48 X698,X696)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X700, 26.84/4.48 X702]: 26.84/4.48 (subset( 26.84/4.48 X700,X702) => 26.84/4.48 (setminus( 26.84/4.48 X700,X702) = 26.84/4.48 emptyset))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X704, 26.84/4.48 X706,X708]: 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X708, 26.84/4.48 setminus( 26.84/4.48 X704,X706))) => 26.84/4.48 (in( 26.84/4.48 X708,X704) => 26.84/4.48 in( 26.84/4.48 X708,X706)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X710, 26.84/4.48 X712,X714]: 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X714, 26.84/4.48 setminus( 26.84/4.48 X710,X712))) => 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X714,X712)) => 26.84/4.48 (~ 26.84/4.48 in( 26.84/4.48 X714,X710))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X716, 26.84/4.48 X718,X720]: 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X720,X716)) => 26.84/4.48 (~ 26.84/4.48 in( 26.84/4.48 X720, 26.84/4.48 setminus( 26.84/4.48 X716,X718))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X722, 26.84/4.48 X724,X726]: 26.84/4.48 (in( 26.84/4.48 X726,X724) => 26.84/4.48 (~ 26.84/4.48 in( 26.84/4.48 X726, 26.84/4.48 setminus( 26.84/4.48 X722,X724))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X728, 26.84/4.48 X730]: 26.84/4.48 subset( 26.84/4.48 setminus( 26.84/4.48 X728,X730), 26.84/4.48 X728)) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X732, 26.84/4.48 X734]: 26.84/4.48 (( 26.84/4.48 setminus( 26.84/4.48 X732,X734) = 26.84/4.48 emptyset) => 26.84/4.48 subset( 26.84/4.48 X732,X734))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X736, 26.84/4.48 X738,X740]: 26.84/4.48 (in( 26.84/4.48 X740, 26.84/4.48 symdiff( 26.84/4.48 X736,X738)) => 26.84/4.48 (![X742:$o]: 26.84/4.48 (( 26.84/4.48 in( 26.84/4.48 X740,X736) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X740,X738)) => 26.84/4.48 X742)) => 26.84/4.48 (( 26.84/4.48 ( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X740,X736)) => 26.84/4.48 ( 26.84/4.48 in( 26.84/4.48 X740,X738) => 26.84/4.48 X742)) => 26.84/4.48 X742))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X744, 26.84/4.48 X746,X748]: 26.84/4.48 (in( 26.84/4.48 X748,X744) => 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X748,X746)) => 26.84/4.48 in( 26.84/4.48 X748, 26.84/4.48 symdiff( 26.84/4.48 X744,X746))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X750, 26.84/4.48 X752,X754]: 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X754,X750)) => 26.84/4.48 (in( 26.84/4.48 X754,X752) => 26.84/4.48 in( 26.84/4.48 X754, 26.84/4.48 symdiff( 26.84/4.48 X750,X752))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X756, 26.84/4.48 X758,X760]: 26.84/4.48 (in( 26.84/4.48 X760,X756) => 26.84/4.48 (in( 26.84/4.48 X760,X758) => 26.84/4.48 (~ 26.84/4.48 in( 26.84/4.48 X760, 26.84/4.48 symdiff( 26.84/4.48 X756,X758)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X762, 26.84/4.48 X764,X766]: 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X766,X762)) => 26.84/4.48 (( 26.84/4.48 ~ 26.84/4.48 in( 26.84/4.48 X766,X764)) => 26.84/4.48 (~ 26.84/4.48 in( 26.84/4.48 X766, 26.84/4.48 symdiff( 26.84/4.48 X762,X764)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X768, 26.84/4.48 X770]: 26.84/4.48 in( 26.84/4.48 X770, 26.84/4.48 setadjoin( 26.84/4.48 X768, 26.84/4.48 setadjoin( 26.84/4.48 X770, 26.84/4.48 emptyset)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X772, 26.84/4.48 X774]: 26.84/4.48 in( 26.84/4.48 X772, 26.84/4.48 setunion( 26.84/4.48 setadjoin( 26.84/4.48 setadjoin( 26.84/4.48 X772, 26.84/4.48 emptyset), 26.84/4.48 setadjoin( 26.84/4.48 setadjoin( 26.84/4.48 X772, 26.84/4.48 setadjoin( 26.84/4.48 X774, 26.84/4.48 emptyset)), 26.84/4.48 emptyset))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X776, 26.84/4.48 X778]: 26.84/4.48 in( 26.84/4.48 X778, 26.84/4.48 setunion( 26.84/4.48 setadjoin( 26.84/4.48 setadjoin( 26.84/4.48 X776, 26.84/4.48 emptyset), 26.84/4.48 setadjoin( 26.84/4.48 setadjoin( 26.84/4.48 X776, 26.84/4.48 setadjoin( 26.84/4.48 X778, 26.84/4.48 emptyset)), 26.84/4.48 emptyset))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X780, 26.84/4.48 X782]: 26.84/4.48 iskpair( 26.84/4.48 setadjoin( 26.84/4.48 setadjoin( 26.84/4.48 X780, 26.84/4.48 emptyset), 26.84/4.48 setadjoin( 26.84/4.48 setadjoin( 26.84/4.48 X780, 26.84/4.48 setadjoin( 26.84/4.48 X782, 26.84/4.48 emptyset)), 26.84/4.48 emptyset)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X784, 26.84/4.48 X786]: 26.84/4.48 iskpair( 26.84/4.48 kpair( 26.84/4.48 X784,X786))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X788, 26.84/4.48 X790]: 26.84/4.48 (in( 26.84/4.48 X790,X788) => 26.84/4.48 subset( 26.84/4.48 setadjoin( 26.84/4.48 X790, 26.84/4.48 emptyset), 26.84/4.48 X788))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X792, 26.84/4.48 X794]: 26.84/4.48 (in( 26.84/4.48 X794,X792) => 26.84/4.48 in( 26.84/4.48 setadjoin( 26.84/4.48 X794, 26.84/4.48 emptyset), 26.84/4.48 powerset( 26.84/4.48 X792)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X796, 26.84/4.48 X798,X800]: 26.84/4.48 (in( 26.84/4.48 X800,X796) => 26.84/4.48 in( 26.84/4.48 setadjoin( 26.84/4.48 X800, 26.84/4.48 emptyset), 26.84/4.48 powerset( 26.84/4.48 binunion( 26.84/4.48 X796,X798))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X802, 26.84/4.48 X804,X806]: 26.84/4.48 (in( 26.84/4.48 X806, 26.84/4.48 setadjoin( 26.84/4.48 X802, 26.84/4.48 setadjoin( 26.84/4.48 X804, 26.84/4.48 emptyset))) => 26.84/4.48 (( 26.84/4.48 X806 = 26.84/4.48 X802) | 26.84/4.48 (X806 = 26.84/4.48 X804)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X808, 26.84/4.48 X810,X812]: 26.84/4.48 (in( 26.84/4.48 X812,X808) => 26.84/4.48 (![X814]: 26.84/4.48 (in( 26.84/4.48 X814,X810) => 26.84/4.48 subset( 26.84/4.48 setadjoin( 26.84/4.48 X812, 26.84/4.48 setadjoin( 26.84/4.48 X814, 26.84/4.48 emptyset)), 26.84/4.48 binunion( 26.84/4.48 X808,X810)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X816, 26.84/4.48 X818,X820]: 26.84/4.48 (in( 26.84/4.48 X820,X816) => 26.84/4.48 (![X822]: 26.84/4.48 (in( 26.84/4.48 X822,X818) => 26.84/4.48 in( 26.84/4.48 setadjoin( 26.84/4.48 X820, 26.84/4.48 setadjoin( 26.84/4.48 X822, 26.84/4.48 emptyset)), 26.84/4.48 powerset( 26.84/4.48 binunion( 26.84/4.48 X816,X818))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X824, 26.84/4.48 X826,X828]: 26.84/4.48 (in( 26.84/4.48 X828,X824) => 26.84/4.48 (![X830]: 26.84/4.48 (in( 26.84/4.48 X830,X826) => 26.84/4.48 subset( 26.84/4.48 setadjoin( 26.84/4.48 setadjoin( 26.84/4.48 X828, 26.84/4.48 emptyset), 26.84/4.48 setadjoin( 26.84/4.48 setadjoin( 26.84/4.48 X828, 26.84/4.48 setadjoin( 26.84/4.48 X830, 26.84/4.48 emptyset)), 26.84/4.48 emptyset)), 26.84/4.48 powerset( 26.84/4.48 binunion( 26.84/4.48 X824,X826))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X832, 26.84/4.48 X834,X836]: 26.84/4.48 (in( 26.84/4.48 X836,X832) => 26.84/4.48 (![X838]: 26.84/4.48 (in( 26.84/4.48 X838,X834) => 26.84/4.48 in( 26.84/4.48 setadjoin( 26.84/4.48 setadjoin( 26.84/4.48 X836, 26.84/4.48 emptyset), 26.84/4.48 setadjoin( 26.84/4.48 setadjoin( 26.84/4.48 X836, 26.84/4.48 setadjoin( 26.84/4.48 X838, 26.84/4.48 emptyset)), 26.84/4.48 emptyset)), 26.84/4.48 powerset( 26.84/4.48 powerset( 26.84/4.48 binunion( 26.84/4.48 X832,X834)))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X840, 26.84/4.48 X842,X844]: 26.84/4.48 (in( 26.84/4.48 X844,X840) => 26.84/4.48 (![X846]: 26.84/4.48 (in( 26.84/4.48 X846,X842) => 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X844,X846), 26.84/4.48 powerset( 26.84/4.48 powerset( 26.84/4.48 binunion( 26.84/4.48 X840,X842)))))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X848, 26.84/4.48 X850,X852]: 26.84/4.48 (in( 26.84/4.48 X852,X848) => 26.84/4.48 (![X854]: 26.84/4.48 (in( 26.84/4.48 X854,X850) => 26.84/4.48 in( 26.84/4.48 kpair( 26.84/4.48 X852,X854), 26.84/4.48 cartprod( 26.84/4.48 X848,X850)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X856, 26.84/4.48 X858,X860]: 26.84/4.48 (in( 26.84/4.48 X860, 26.84/4.48 cartprod( 26.84/4.48 X856,X858)) => 26.84/4.48 (?[X862]: 26.84/4.48 (( 26.84/4.48 ?[X864]: 26.84/4.48 (( 26.84/4.48 X860 = 26.84/4.48 kpair( 26.84/4.48 X862,X864)) & 26.84/4.48 in( 26.84/4.48 X864,X858))) & 26.84/4.48 in( 26.84/4.48 X862,X856))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X866, 26.84/4.48 X868,X870]: 26.84/4.48 (in( 26.84/4.48 X870, 26.84/4.48 cartprod( 26.84/4.48 X866,X868)) => 26.84/4.48 iskpair( 26.84/4.48 X870))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X872, 26.84/4.48 X874]: 26.84/4.48 (in( 26.84/4.48 X874, 26.84/4.48 setunion( 26.84/4.48 X872)) => 26.84/4.48 (?[X876]: 26.84/4.48 (in( 26.84/4.48 X874,X876) & 26.84/4.48 in( 26.84/4.48 X876,X872))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X878]: 26.84/4.48 subset( 26.84/4.48 setunion( 26.84/4.48 setadjoin( 26.84/4.48 X878, 26.84/4.48 emptyset)), 26.84/4.48 X878)) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X880]: 26.84/4.48 subset( 26.84/4.48 X880, 26.84/4.48 setunion( 26.84/4.48 setadjoin( 26.84/4.48 X880, 26.84/4.48 emptyset)))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X882]: 26.84/4.48 (setunion( 26.84/4.48 setadjoin( 26.84/4.48 X882, 26.84/4.48 emptyset)) = 26.84/4.48 X882)) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X884, 26.84/4.48 X886:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 (( 26.84/4.48 ![X888]: 26.84/4.48 (in( 26.84/4.48 X888,X884) => 26.84/4.48 (![X890]: 26.84/4.48 (in( 26.84/4.48 X890,X884) => 26.84/4.48 (X886( 26.84/4.48 X888) => 26.84/4.48 (X886( 26.84/4.48 X890) => 26.84/4.48 (X888 = 26.84/4.48 X890))))))) => 26.84/4.48 (( 26.84/4.48 ?[X892]: 26.84/4.48 (X886( 26.84/4.48 X892) & 26.84/4.48 in( 26.84/4.48 X892,X884))) => 26.84/4.48 singleton( 26.84/4.48 dsetconstr( 26.84/4.48 X884, 26.84/4.48 ^[V_15]: 26.84/4.48 X886( 26.84/4.48 V_15)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X894, 26.84/4.48 X896:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 (ex1( 26.84/4.48 X894, 26.84/4.48 ^[V_16]: 26.84/4.48 X896( 26.84/4.48 V_16)) => 26.84/4.48 (?[X898]: 26.84/4.48 (X896( 26.84/4.48 X898) & 26.84/4.48 in( 26.84/4.48 X898,X894))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X900, 26.84/4.48 X902:( 26.84/4.48 ( 26.84/4.48 $i > $o)), 26.84/4.48 X904]: 26.84/4.48 (in( 26.84/4.48 X904,X900) => 26.84/4.48 (X902( 26.84/4.48 X904) => 26.84/4.48 (( 26.84/4.48 ![X906]: 26.84/4.48 (in( 26.84/4.48 X906,X900) => 26.84/4.48 (X902( 26.84/4.48 X906) => 26.84/4.48 (X906 = 26.84/4.48 X904)))) => 26.84/4.48 ex1( 26.84/4.48 X900, 26.84/4.48 ^[V_17]: 26.84/4.48 X902( 26.84/4.48 V_17)))))) => 26.84/4.48 ( 26.84/4.48 ( 26.84/4.48 ![X908, 26.84/4.48 X910:( 26.84/4.48 ( 26.84/4.48 $i > $o))]: 26.84/4.48 (( 26.84/4.48 ![X912]: 26.84/4.48 (in( 26.84/4.48 X912,X908) => 26.84/4.48 (![X914]: 26.84/4.48 (in( 26.84/4.48 X914,X908) => 26.84/4.48 (X910( 26.84/4.48 X912) => 26.84/4.48 (X910( 26.84/4.48 X914) => 26.84/4.48 (X912 = 26.84/4.48 X914))))))) => 26.84/4.48 (( 26.84/4.48 ?[X916]: 26.84/4.48 (X910( 26.84/4.48 X916) & 26.84/4.48 in( 26.84/4.48 X916,X908))) => 26.84/4.49 ex1( 26.84/4.49 X908, 26.84/4.49 ^[V_18]: 26.84/4.49 X910( 26.84/4.49 V_18))))) => 26.84/4.49 ( 26.84/4.49 ( 26.84/4.49 ![X918, 26.84/4.49 X920]: 26.84/4.49 (( 26.84/4.49 setadjoin( 26.84/4.49 X918, 26.84/4.49 emptyset) = 26.84/4.49 setadjoin( 27.27/4.49 X920, 27.27/4.49 emptyset)) => 27.27/4.49 (X918 = 27.27/4.49 X920))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X922, 27.27/4.49 X924,X926]: 27.27/4.49 (in( 27.27/4.49 setadjoin( 27.27/4.49 X926, 27.27/4.49 emptyset), 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X922, 27.27/4.49 emptyset), 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X922, 27.27/4.49 setadjoin( 27.27/4.49 X924, 27.27/4.49 emptyset)), 27.27/4.49 emptyset))) => 27.27/4.49 (X922 = 27.27/4.49 X926))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X928]: 27.27/4.49 (iskpair( 27.27/4.49 X928) => 27.27/4.49 singleton( 27.27/4.49 dsetconstr( 27.27/4.49 setunion( 27.27/4.49 X928), 27.27/4.49 ^[V_19]: 27.27/4.49 in( 27.27/4.49 setadjoin( 27.27/4.49 V_19, 27.27/4.49 emptyset), 27.27/4.49 X928))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X930]: 27.27/4.49 (singleton( 27.27/4.49 X930) => 27.27/4.49 in( 27.27/4.49 setunion( 27.27/4.49 X930), 27.27/4.49 X930))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X932, 27.27/4.49 X934]: 27.27/4.49 (kfst( 27.27/4.49 kpair( 27.27/4.49 X932,X934)) = 27.27/4.49 X932)) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X936, 27.27/4.49 X938,X940]: 27.27/4.49 (in( 27.27/4.49 X940, 27.27/4.49 cartprod( 27.27/4.49 X936,X938)) => 27.27/4.49 in( 27.27/4.49 kfst( 27.27/4.49 X940), 27.27/4.49 X936))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X942, 27.27/4.49 X944, 27.27/4.49 X946,X948]: 27.27/4.49 (( 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X942, 27.27/4.49 emptyset), 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X942, 27.27/4.49 setadjoin( 27.27/4.49 X944, 27.27/4.49 emptyset)), 27.27/4.49 emptyset)) = 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X946, 27.27/4.49 emptyset), 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X946, 27.27/4.49 setadjoin( 27.27/4.49 X948, 27.27/4.49 emptyset)), 27.27/4.49 emptyset))) => 27.27/4.49 (X942 = 27.27/4.49 X946))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X950, 27.27/4.49 X952, 27.27/4.49 X954,X956]: 27.27/4.49 (( 27.27/4.49 kpair( 27.27/4.49 X950,X952) = 27.27/4.49 kpair( 27.27/4.49 X954,X956)) => 27.27/4.49 (X950 = 27.27/4.49 X954))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X958, 27.27/4.49 X960]: 27.27/4.49 (( 27.27/4.49 X958 = 27.27/4.49 X960) => 27.27/4.49 (setadjoin( 27.27/4.49 X958, 27.27/4.49 setadjoin( 27.27/4.49 X960, 27.27/4.49 emptyset)) = 27.27/4.49 setadjoin( 27.27/4.49 X958, 27.27/4.49 emptyset)))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X962, 27.27/4.49 X964]: 27.27/4.49 (( 27.27/4.49 X962 = 27.27/4.49 X964) => 27.27/4.49 (setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X962, 27.27/4.49 emptyset), 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X962, 27.27/4.49 setadjoin( 27.27/4.49 X964, 27.27/4.49 emptyset)), 27.27/4.49 emptyset)) = 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X962, 27.27/4.49 emptyset), 27.27/4.49 emptyset)))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X966, 27.27/4.49 X968, 27.27/4.49 X970,X972]: 27.27/4.49 (( 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X966, 27.27/4.49 emptyset), 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X966, 27.27/4.49 setadjoin( 27.27/4.49 X968, 27.27/4.49 emptyset)), 27.27/4.49 emptyset)) = 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X970, 27.27/4.49 emptyset), 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X970, 27.27/4.49 setadjoin( 27.27/4.49 X972, 27.27/4.49 emptyset)), 27.27/4.49 emptyset))) => 27.27/4.49 (( 27.27/4.49 X970 = 27.27/4.49 X972) => 27.27/4.49 (X968 = 27.27/4.49 X972)))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X974, 27.27/4.49 X976,X978]: 27.27/4.49 (( 27.27/4.49 setadjoin( 27.27/4.49 X974, 27.27/4.49 setadjoin( 27.27/4.49 X976, 27.27/4.49 emptyset)) = 27.27/4.49 setadjoin( 27.27/4.49 X978, 27.27/4.49 emptyset)) => 27.27/4.49 (X974 = 27.27/4.49 X976))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X980, 27.27/4.49 X982, 27.27/4.49 X984,X986]: 27.27/4.49 (( 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X980, 27.27/4.49 emptyset), 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X980, 27.27/4.49 setadjoin( 27.27/4.49 X982, 27.27/4.49 emptyset)), 27.27/4.49 emptyset)) = 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X984, 27.27/4.49 emptyset), 27.27/4.49 setadjoin( 27.27/4.49 setadjoin( 27.27/4.49 X984, 27.27/4.49 setadjoin( 27.27/4.49 X986, 27.27/4.49 emptyset)), 27.27/4.49 emptyset))) => 27.27/4.49 (X982 = 27.27/4.49 X986))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X988, 27.27/4.49 X990, 27.27/4.49 X992,X994]: 27.27/4.49 (( 27.27/4.49 kpair( 27.27/4.49 X988,X990) = 27.27/4.49 kpair( 27.27/4.49 X992,X994)) => 27.27/4.49 (X990 = 27.27/4.49 X994))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X996]: 27.27/4.49 (iskpair( 27.27/4.49 X996) => 27.27/4.49 singleton( 27.27/4.49 dsetconstr( 27.27/4.49 setunion( 27.27/4.49 X996), 27.27/4.49 ^[V_20]: 27.27/4.49 (X996 = 27.27/4.49 kpair( 27.27/4.49 kfst( 27.27/4.49 X996), 27.27/4.49 V_20)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X998, 27.27/4.49 X1000]: 27.27/4.49 (ksnd( 27.27/4.49 kpair( 27.27/4.49 X998, 27.27/4.49 X1000)) = 27.27/4.49 X1000)) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1002]: 27.27/4.49 (iskpair( 27.27/4.49 X1002) => 27.27/4.49 (kpair( 27.27/4.49 kfst( 27.27/4.49 X1002), 27.27/4.49 ksnd( 27.27/4.49 X1002)) = 27.27/4.49 X1002))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1004, 27.27/4.49 X1006, 27.27/4.49 X1008]: 27.27/4.49 (in( 27.27/4.49 X1008, 27.27/4.49 cartprod( 27.27/4.49 X1004, 27.27/4.49 X1006)) => 27.27/4.49 in( 27.27/4.49 ksnd( 27.27/4.49 X1008), 27.27/4.49 X1006))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1010, 27.27/4.49 X1012, 27.27/4.49 X1014, 27.27/4.49 X1016]: 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1014, 27.27/4.49 X1016), 27.27/4.49 cartprod( 27.27/4.49 X1010, 27.27/4.49 X1012)) => 27.27/4.49 in( 27.27/4.49 X1014, 27.27/4.49 X1010))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1018, 27.27/4.49 X1020, 27.27/4.49 X1022, 27.27/4.49 X1024]: 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1022, 27.27/4.49 X1024), 27.27/4.49 cartprod( 27.27/4.49 X1018, 27.27/4.49 X1020)) => 27.27/4.49 in( 27.27/4.49 X1024, 27.27/4.49 X1020))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1026, 27.27/4.49 X1028, 27.27/4.49 X1030]: 27.27/4.49 (in( 27.27/4.49 X1030, 27.27/4.49 X1026) => 27.27/4.49 (![X1032]: 27.27/4.49 (in( 27.27/4.49 X1032, 27.27/4.49 X1028) => 27.27/4.49 (kpair( 27.27/4.49 X1030, 27.27/4.49 X1032) = 27.27/4.49 kpair( 27.27/4.49 X1030, 27.27/4.49 X1032)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1034, 27.27/4.49 X1036, 27.27/4.49 X1038]: 27.27/4.49 (in( 27.27/4.49 X1038, 27.27/4.49 X1034) => 27.27/4.49 (![X1040]: 27.27/4.49 (in( 27.27/4.49 X1040, 27.27/4.49 X1036) => 27.27/4.49 (kfst( 27.27/4.49 kpair( 27.27/4.49 X1038, 27.27/4.49 X1040)) = 27.27/4.49 X1038))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1042, 27.27/4.49 X1044, 27.27/4.49 X1046]: 27.27/4.49 (in( 27.27/4.49 X1046, 27.27/4.49 X1042) => 27.27/4.49 (![X1048]: 27.27/4.49 (in( 27.27/4.49 X1048, 27.27/4.49 X1044) => 27.27/4.49 (ksnd( 27.27/4.49 kpair( 27.27/4.49 X1046, 27.27/4.49 X1048)) = 27.27/4.49 X1048))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1050, 27.27/4.49 X1052, 27.27/4.49 X1054]: 27.27/4.49 (in( 27.27/4.49 X1054, 27.27/4.49 cartprod( 27.27/4.49 X1050, 27.27/4.49 X1052)) => 27.27/4.49 (kpair( 27.27/4.49 kfst( 27.27/4.49 X1054), 27.27/4.49 ksnd( 27.27/4.49 X1054)) = 27.27/4.49 X1054))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1056, 27.27/4.49 X1058, 27.27/4.49 X1060:( 27.27/4.49 ($i * $i) > 27.27/4.49 $o),X1062]: 27.27/4.49 (in( 27.27/4.49 X1062, 27.27/4.49 X1056) => 27.27/4.49 (![X1064]: 27.27/4.49 (in( 27.27/4.49 X1064, 27.27/4.49 X1058) => 27.27/4.49 (X1060( 27.27/4.49 X1062, 27.27/4.49 X1064) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1062, 27.27/4.49 X1064), 27.27/4.49 dpsetconstr( 27.27/4.49 X1056, 27.27/4.49 X1058, 27.27/4.49 ^[V_21, 27.27/4.49 V_22]: 27.27/4.49 X1060( 27.27/4.49 V_21,V_22)))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1066, 27.27/4.49 X1068, 27.27/4.49 X1070:( 27.27/4.49 ($i * $i) > 27.27/4.49 $o)]: 27.27/4.49 subset( 27.27/4.49 dpsetconstr( 27.27/4.49 X1066, 27.27/4.49 X1068, 27.27/4.49 ^[V_23, 27.27/4.49 V_24]: 27.27/4.49 X1070( 27.27/4.49 V_23,V_24)), 27.27/4.49 cartprod( 27.27/4.49 X1066, 27.27/4.49 X1068))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1072, 27.27/4.49 X1074, 27.27/4.49 X1076:( 27.27/4.49 ($i * $i) > 27.27/4.49 $o)]: 27.27/4.49 breln( 27.27/4.49 X1072, 27.27/4.49 X1074, 27.27/4.49 dpsetconstr( 27.27/4.49 X1072, 27.27/4.49 X1074, 27.27/4.49 ^[V_25, 27.27/4.49 V_26]: 27.27/4.49 X1076( 27.27/4.49 V_25,V_26)))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1078, 27.27/4.49 X1080, 27.27/4.49 X1082:( 27.27/4.49 ($i * $i) > 27.27/4.49 $o),X1084]: 27.27/4.49 (in( 27.27/4.49 X1084, 27.27/4.49 X1078) => 27.27/4.49 (![X1086]: 27.27/4.49 (in( 27.27/4.49 X1086, 27.27/4.49 X1080) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1084, 27.27/4.49 X1086), 27.27/4.49 dpsetconstr( 27.27/4.49 X1078, 27.27/4.49 X1080, 27.27/4.49 ^[V_27, 27.27/4.49 V_28]: 27.27/4.49 X1082( 27.27/4.49 V_27,V_28))) => 27.27/4.49 X1082( 27.27/4.49 X1084, 27.27/4.49 X1086)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1088, 27.27/4.49 X1090, 27.27/4.49 X1092:( 27.27/4.49 ($i * $i) > 27.27/4.49 $o), 27.27/4.49 X1094, 27.27/4.49 X1096]: 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1094, 27.27/4.49 X1096), 27.27/4.49 dpsetconstr( 27.27/4.49 X1088, 27.27/4.49 X1090, 27.27/4.49 ^[V_29, 27.27/4.49 V_30]: 27.27/4.49 X1092( 27.27/4.49 V_29,V_30))) => 27.27/4.49 in( 27.27/4.49 X1094, 27.27/4.49 X1088))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1098, 27.27/4.49 X1100, 27.27/4.49 X1102:( 27.27/4.49 ($i * $i) > 27.27/4.49 $o), 27.27/4.49 X1104, 27.27/4.49 X1106]: 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1104, 27.27/4.49 X1106), 27.27/4.49 dpsetconstr( 27.27/4.49 X1098, 27.27/4.49 X1100, 27.27/4.49 ^[V_31, 27.27/4.49 V_32]: 27.27/4.49 X1102( 27.27/4.49 V_31,V_32))) => 27.27/4.49 in( 27.27/4.49 X1106, 27.27/4.49 X1100))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1108, 27.27/4.49 X1110, 27.27/4.49 X1112:( 27.27/4.49 ($i * $i) > 27.27/4.49 $o), 27.27/4.49 X1114, 27.27/4.49 X1116]: 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1114, 27.27/4.49 X1116), 27.27/4.49 dpsetconstr( 27.27/4.49 X1108, 27.27/4.49 X1110, 27.27/4.49 ^[V_33, 27.27/4.49 V_34]: 27.27/4.49 X1112( 27.27/4.49 V_33,V_34))) => 27.27/4.49 X1112( 27.27/4.49 X1114, 27.27/4.49 X1116))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1118, 27.27/4.49 X1120, 27.27/4.49 X1122]: 27.27/4.49 (func( 27.27/4.49 X1118, 27.27/4.49 X1120, 27.27/4.49 X1122) => 27.27/4.49 (![X1124]: 27.27/4.49 (in( 27.27/4.49 X1124, 27.27/4.49 X1118) => 27.27/4.49 singleton( 27.27/4.49 dsetconstr( 27.27/4.49 X1120, 27.27/4.49 ^[V_35]: 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1124, 27.27/4.49 V_35), 27.27/4.49 X1122))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1126, 27.27/4.49 X1128, 27.27/4.49 X1130]: 27.27/4.49 (func( 27.27/4.49 X1126, 27.27/4.49 X1128, 27.27/4.49 X1130) => 27.27/4.49 (![X1132]: 27.27/4.49 (in( 27.27/4.49 X1132, 27.27/4.49 X1126) => 27.27/4.49 in( 27.27/4.49 setunion( 27.27/4.49 dsetconstr( 27.27/4.49 X1128, 27.27/4.49 ^[V_36]: 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1132, 27.27/4.49 V_36), 27.27/4.49 X1130))), 27.27/4.49 X1128))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1134, 27.27/4.49 X1136, 27.27/4.49 X1138]: 27.27/4.49 (func( 27.27/4.49 X1134, 27.27/4.49 X1136, 27.27/4.49 X1138) => 27.27/4.49 (![X1140]: 27.27/4.49 (in( 27.27/4.49 X1140, 27.27/4.49 X1134) => 27.27/4.49 in( 27.27/4.49 ap( 27.27/4.49 X1134, 27.27/4.49 X1136, 27.27/4.49 X1138, 27.27/4.49 X1140), 27.27/4.49 X1136))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1142, 27.27/4.49 X1144, 27.27/4.49 X1146]: 27.27/4.49 (in( 27.27/4.49 X1146, 27.27/4.49 funcSet( 27.27/4.49 X1142, 27.27/4.49 X1144)) => 27.27/4.49 func( 27.27/4.49 X1142, 27.27/4.49 X1144, 27.27/4.49 X1146))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1148, 27.27/4.49 X1150, 27.27/4.49 X1152]: 27.27/4.49 (in( 27.27/4.49 X1152, 27.27/4.49 funcSet( 27.27/4.49 X1148, 27.27/4.49 X1150)) => 27.27/4.49 (![X1154]: 27.27/4.49 (in( 27.27/4.49 X1154, 27.27/4.49 X1148) => 27.27/4.49 in( 27.27/4.49 ap( 27.27/4.49 X1148, 27.27/4.49 X1150, 27.27/4.49 X1152, 27.27/4.49 X1154), 27.27/4.49 X1150))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1156, 27.27/4.49 X1158, 27.27/4.49 X1160]: 27.27/4.49 (func( 27.27/4.49 X1156, 27.27/4.49 X1158, 27.27/4.49 X1160) => 27.27/4.49 in( 27.27/4.49 X1160, 27.27/4.49 funcSet( 27.27/4.49 X1156, 27.27/4.49 X1158)))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1162, 27.27/4.49 X1164, 27.27/4.49 X1166:( 27.27/4.49 ( 27.27/4.49 $i > $i))]: 27.27/4.49 (( 27.27/4.49 ![X1168]: 27.27/4.49 (in( 27.27/4.49 X1168, 27.27/4.49 X1162) => 27.27/4.49 in( 27.27/4.49 X1166( 27.27/4.49 X1168), 27.27/4.49 X1164))) => 27.27/4.49 func( 27.27/4.49 X1162, 27.27/4.49 X1164, 27.27/4.49 dpsetconstr( 27.27/4.49 X1162, 27.27/4.49 X1164, 27.27/4.49 ^[V_37, 27.27/4.49 V_38]: 27.27/4.49 (X1166( 27.27/4.49 V_37) = 27.27/4.49 V_38))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1170, 27.27/4.49 X1172, 27.27/4.49 X1174:( 27.27/4.49 ( 27.27/4.49 $i > $i))]: 27.27/4.49 (( 27.27/4.49 ![X1176]: 27.27/4.49 (in( 27.27/4.49 X1176, 27.27/4.49 X1170) => 27.27/4.49 in( 27.27/4.49 X1174( 27.27/4.49 X1176), 27.27/4.49 X1172))) => 27.27/4.49 func( 27.27/4.49 X1170, 27.27/4.49 X1172, 27.27/4.49 lam( 27.27/4.49 X1170, 27.27/4.49 X1172, 27.27/4.49 ^[V_39]: 27.27/4.49 X1174( 27.27/4.49 V_39))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1178, 27.27/4.49 X1180, 27.27/4.49 X1182:( 27.27/4.49 ( 27.27/4.49 $i > $i))]: 27.27/4.49 (( 27.27/4.49 ![X1184]: 27.27/4.49 (in( 27.27/4.49 X1184, 27.27/4.49 X1178) => 27.27/4.49 in( 27.27/4.49 X1182( 27.27/4.49 X1184), 27.27/4.49 X1180))) => 27.27/4.49 in( 27.27/4.49 lam( 27.27/4.49 X1178, 27.27/4.49 X1180, 27.27/4.49 ^[V_40]: 27.27/4.49 X1182( 27.27/4.49 V_40)), 27.27/4.49 funcSet( 27.27/4.49 X1178, 27.27/4.49 X1180)))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1186, 27.27/4.49 X1188, 27.27/4.49 X1190]: 27.27/4.49 (breln( 27.27/4.49 X1186, 27.27/4.49 X1188, 27.27/4.49 X1190) => 27.27/4.49 (![X1192:( 27.27/4.49 ( 27.27/4.49 $i > $o))]: 27.27/4.49 (( 27.27/4.49 ![X1194]: 27.27/4.49 (in( 27.27/4.49 X1194, 27.27/4.49 X1186) => 27.27/4.49 (![X1196]: 27.27/4.49 (in( 27.27/4.49 X1196, 27.27/4.49 X1188) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1194, 27.27/4.49 X1196), 27.27/4.49 X1190) => 27.27/4.49 X1192( 27.27/4.49 kpair( 27.27/4.49 X1194, 27.27/4.49 X1196))))))) => 27.27/4.49 (![X1198]: 27.27/4.49 (in( 27.27/4.49 X1198, 27.27/4.49 X1190) => 27.27/4.49 X1192( 27.27/4.49 X1198))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1200, 27.27/4.49 X1202, 27.27/4.49 X1204]: 27.27/4.49 (breln( 27.27/4.49 X1200, 27.27/4.49 X1202, 27.27/4.49 X1204) => 27.27/4.49 (![X1206:( 27.27/4.49 ( 27.27/4.49 $i > $o))]: 27.27/4.49 (( 27.27/4.49 ![X1208]: 27.27/4.49 (in( 27.27/4.49 X1208, 27.27/4.49 X1200) => 27.27/4.49 (![X1210]: 27.27/4.49 (in( 27.27/4.49 X1210, 27.27/4.49 X1202) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1208, 27.27/4.49 X1210), 27.27/4.49 X1204) => 27.27/4.49 X1206( 27.27/4.49 kpair( 27.27/4.49 X1208, 27.27/4.49 X1210))))))) => 27.27/4.49 (![X1212]: 27.27/4.49 (in( 27.27/4.49 X1212, 27.27/4.49 X1204) => 27.27/4.49 X1206( 27.27/4.49 X1212))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1214, 27.27/4.49 X1216:( 27.27/4.49 ( 27.27/4.49 $i > $o))]: 27.27/4.49 (ex1( 27.27/4.49 X1214, 27.27/4.49 ^[V_41]: 27.27/4.49 X1216( 27.27/4.49 V_41)) => 27.27/4.49 (![X1218]: 27.27/4.49 (in( 27.27/4.49 X1218, 27.27/4.49 X1214) => 27.27/4.49 (![X1220]: 27.27/4.49 (in( 27.27/4.49 X1220, 27.27/4.49 X1214) => 27.27/4.49 (X1216( 27.27/4.49 X1218) => 27.27/4.49 (X1216( 27.27/4.49 X1220) => 27.27/4.49 (X1218 = 27.27/4.49 X1220))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1222, 27.27/4.49 X1224, 27.27/4.49 X1226]: 27.27/4.49 (func( 27.27/4.49 X1222, 27.27/4.49 X1224, 27.27/4.49 X1226) => 27.27/4.49 (![X1228]: 27.27/4.49 (in( 27.27/4.49 X1228, 27.27/4.49 X1222) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1228, 27.27/4.49 ap( 27.27/4.49 X1222, 27.27/4.49 X1224, 27.27/4.49 X1226, 27.27/4.49 X1228)), 27.27/4.49 X1226))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1230, 27.27/4.49 X1232, 27.27/4.49 X1234]: 27.27/4.49 (in( 27.27/4.49 X1234, 27.27/4.49 funcSet( 27.27/4.49 X1230, 27.27/4.49 X1232)) => 27.27/4.49 (![X1236]: 27.27/4.49 (in( 27.27/4.49 X1236, 27.27/4.49 X1230) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1236, 27.27/4.49 ap( 27.27/4.49 X1230, 27.27/4.49 X1232, 27.27/4.49 X1234, 27.27/4.49 X1236)), 27.27/4.49 X1234))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1238, 27.27/4.49 X1240, 27.27/4.49 X1242]: 27.27/4.49 (func( 27.27/4.49 X1238, 27.27/4.49 X1240, 27.27/4.49 X1242) => 27.27/4.49 (![X1244]: 27.27/4.49 (in( 27.27/4.49 X1244, 27.27/4.49 X1238) => 27.27/4.49 (![X1246]: 27.27/4.49 (in( 27.27/4.49 X1246, 27.27/4.49 X1240) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1244, 27.27/4.49 X1246), 27.27/4.49 X1242) => 27.27/4.49 (ap( 27.27/4.49 X1238, 27.27/4.49 X1240, 27.27/4.49 X1242, 27.27/4.49 X1244) = 27.27/4.49 X1246)))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1248, 27.27/4.49 X1250, 27.27/4.49 X1252]: 27.27/4.49 (func( 27.27/4.49 X1248, 27.27/4.49 X1250, 27.27/4.49 X1252) => 27.27/4.49 (![X1254]: 27.27/4.49 (func( 27.27/4.49 X1248, 27.27/4.49 X1250, 27.27/4.49 X1254) => 27.27/4.49 (( 27.27/4.49 ![X1256]: 27.27/4.49 (in( 27.27/4.49 X1256, 27.27/4.49 X1248) => 27.27/4.49 (ap( 27.27/4.49 X1248, 27.27/4.49 X1250, 27.27/4.49 X1252, 27.27/4.49 X1256) = 27.27/4.49 ap( 27.27/4.49 X1248, 27.27/4.49 X1250, 27.27/4.49 X1254, 27.27/4.49 X1256)))) => 27.27/4.49 (![X1258]: 27.27/4.49 (in( 27.27/4.49 X1258, 27.27/4.49 X1248) => 27.27/4.49 (![X1260]: 27.27/4.49 (in( 27.27/4.49 X1260, 27.27/4.49 X1250) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1258, 27.27/4.49 X1260), 27.27/4.49 X1254) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1258, 27.27/4.49 X1260), 27.27/4.49 X1252))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1262, 27.27/4.49 X1264, 27.27/4.49 X1266]: 27.27/4.49 (in( 27.27/4.49 X1266, 27.27/4.49 funcSet( 27.27/4.49 X1262, 27.27/4.49 X1264)) => 27.27/4.49 (![X1268]: 27.27/4.49 (in( 27.27/4.49 X1268, 27.27/4.49 X1262) => 27.27/4.49 (![X1270]: 27.27/4.49 (in( 27.27/4.49 X1270, 27.27/4.49 X1264) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1268, 27.27/4.49 X1270), 27.27/4.49 X1266) => 27.27/4.49 (ap( 27.27/4.49 X1262, 27.27/4.49 X1264, 27.27/4.49 X1266, 27.27/4.49 X1268) = 27.27/4.49 X1270)))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1272, 27.27/4.49 X1274, 27.27/4.49 X1276]: 27.27/4.49 (breln( 27.27/4.49 X1272, 27.27/4.49 X1274, 27.27/4.49 X1276) => 27.27/4.49 (![X1278]: 27.27/4.49 (breln( 27.27/4.49 X1272, 27.27/4.49 X1274, 27.27/4.49 X1278) => 27.27/4.49 (( 27.27/4.49 ![X1280]: 27.27/4.49 (in( 27.27/4.49 X1280, 27.27/4.49 X1272) => 27.27/4.49 (![X1282]: 27.27/4.49 (in( 27.27/4.49 X1282, 27.27/4.49 X1274) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1280, 27.27/4.49 X1282), 27.27/4.49 X1276) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1280, 27.27/4.49 X1282), 27.27/4.49 X1278)))))) => 27.27/4.49 subset( 27.27/4.49 X1276, 27.27/4.49 X1278)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1284, 27.27/4.49 X1286, 27.27/4.49 X1288]: 27.27/4.49 (breln( 27.27/4.49 X1284, 27.27/4.49 X1286, 27.27/4.49 X1288) => 27.27/4.49 (![X1290]: 27.27/4.49 (breln( 27.27/4.49 X1284, 27.27/4.49 X1286, 27.27/4.49 X1290) => 27.27/4.49 (( 27.27/4.49 ![X1292]: 27.27/4.49 (in( 27.27/4.49 X1292, 27.27/4.49 X1284) => 27.27/4.49 (![X1294]: 27.27/4.49 (in( 27.27/4.49 X1294, 27.27/4.49 X1286) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1292, 27.27/4.49 X1294), 27.27/4.49 X1288) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1292, 27.27/4.49 X1294), 27.27/4.49 X1290)))))) => 27.27/4.49 (( 27.27/4.49 ![X1296]: 27.27/4.49 (in( 27.27/4.49 X1296, 27.27/4.49 X1284) => 27.27/4.49 (![X1298]: 27.27/4.49 (in( 27.27/4.49 X1298, 27.27/4.49 X1286) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1296, 27.27/4.49 X1298), 27.27/4.49 X1290) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1296, 27.27/4.49 X1298), 27.27/4.49 X1288)))))) => 27.27/4.49 (X1288 = 27.27/4.49 X1290))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1300, 27.27/4.49 X1302, 27.27/4.49 X1304]: 27.27/4.49 (func( 27.27/4.49 X1300, 27.27/4.49 X1302, 27.27/4.49 X1304) => 27.27/4.49 (![X1306]: 27.27/4.49 (func( 27.27/4.49 X1300, 27.27/4.49 X1302, 27.27/4.49 X1306) => 27.27/4.49 (( 27.27/4.49 ![X1308]: 27.27/4.49 (in( 27.27/4.49 X1308, 27.27/4.49 X1300) => 27.27/4.49 (ap( 27.27/4.49 X1300, 27.27/4.49 X1302, 27.27/4.49 X1304, 27.27/4.49 X1308) = 27.27/4.49 ap( 27.27/4.49 X1300, 27.27/4.49 X1302, 27.27/4.49 X1306, 27.27/4.49 X1308)))) => 27.27/4.49 (X1304 = 27.27/4.49 X1306)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1310, 27.27/4.49 X1312, 27.27/4.49 X1314]: 27.27/4.49 (in( 27.27/4.49 X1314, 27.27/4.49 funcSet( 27.27/4.49 X1310, 27.27/4.49 X1312)) => 27.27/4.49 (![X1316]: 27.27/4.49 (in( 27.27/4.49 X1316, 27.27/4.49 funcSet( 27.27/4.49 X1310, 27.27/4.49 X1312)) => 27.27/4.49 (( 27.27/4.49 ![X1318]: 27.27/4.49 (in( 27.27/4.49 X1318, 27.27/4.49 X1310) => 27.27/4.49 (ap( 27.27/4.49 X1310, 27.27/4.49 X1312, 27.27/4.49 X1314, 27.27/4.49 X1318) = 27.27/4.49 ap( 27.27/4.49 X1310, 27.27/4.49 X1312, 27.27/4.49 X1316, 27.27/4.49 X1318)))) => 27.27/4.49 (X1314 = 27.27/4.49 X1316)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1320, 27.27/4.49 X1322, 27.27/4.49 X1324]: 27.27/4.49 (in( 27.27/4.49 X1324, 27.27/4.49 funcSet( 27.27/4.49 X1320, 27.27/4.49 X1322)) => 27.27/4.49 (![X1326]: 27.27/4.49 (in( 27.27/4.49 X1326, 27.27/4.49 X1320) => 27.27/4.49 (ap( 27.27/4.49 X1320, 27.27/4.49 X1322, 27.27/4.49 X1324, 27.27/4.49 X1326) = 27.27/4.49 ap( 27.27/4.49 X1320, 27.27/4.49 X1322, 27.27/4.49 X1324, 27.27/4.49 X1326)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1328, 27.27/4.49 X1330, 27.27/4.49 X1332]: 27.27/4.49 (func( 27.27/4.49 X1328, 27.27/4.49 X1330, 27.27/4.49 X1332) => 27.27/4.49 (![X1334]: 27.27/4.49 (in( 27.27/4.49 X1334, 27.27/4.49 X1328) => 27.27/4.49 (ap( 27.27/4.49 X1328, 27.27/4.49 X1330, 27.27/4.49 X1332, 27.27/4.49 X1334) = 27.27/4.49 ap( 27.27/4.49 X1328, 27.27/4.49 X1330, 27.27/4.49 X1332, 27.27/4.49 X1334)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1336, 27.27/4.49 X1338, 27.27/4.49 X1340:( 27.27/4.49 ( 27.27/4.49 $i > $i))]: 27.27/4.49 (( 27.27/4.49 ![X1342]: 27.27/4.49 (in( 27.27/4.49 X1342, 27.27/4.49 X1336) => 27.27/4.49 in( 27.27/4.49 X1340( 27.27/4.49 X1342), 27.27/4.49 X1338))) => 27.27/4.49 (![X1344]: 27.27/4.49 (in( 27.27/4.49 X1344, 27.27/4.49 X1336) => 27.27/4.49 (ap( 27.27/4.49 X1336, 27.27/4.49 X1338, 27.27/4.49 lam( 27.27/4.49 X1336, 27.27/4.49 X1338, 27.27/4.49 ^[V_42]: 27.27/4.49 X1340( 27.27/4.49 V_42)), 27.27/4.49 X1344) = 27.27/4.49 X1340( 27.27/4.49 X1344)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1346, 27.27/4.49 X1348, 27.27/4.49 X1350]: 27.27/4.49 (func( 27.27/4.49 X1346, 27.27/4.49 X1348, 27.27/4.49 X1350) => 27.27/4.49 (lam( 27.27/4.49 X1346, 27.27/4.49 X1348, 27.27/4.49 ^[V_43]: 27.27/4.49 ap( 27.27/4.49 X1346, 27.27/4.49 X1348, 27.27/4.49 X1350, 27.27/4.49 V_43)) = 27.27/4.49 X1350))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1352, 27.27/4.49 X1354, 27.27/4.49 X1356:( 27.27/4.49 ( 27.27/4.49 $i > $i))]: 27.27/4.49 (( 27.27/4.49 ![X1358]: 27.27/4.49 (in( 27.27/4.49 X1358, 27.27/4.49 X1352) => 27.27/4.49 in( 27.27/4.49 X1356( 27.27/4.49 X1358), 27.27/4.49 X1354))) => 27.27/4.49 (lam( 27.27/4.49 X1352, 27.27/4.49 X1354, 27.27/4.49 ^[V_44]: 27.27/4.49 X1356( 27.27/4.49 V_44)) = 27.27/4.49 lam( 27.27/4.49 X1352, 27.27/4.49 X1354, 27.27/4.49 ^[V_45]: 27.27/4.49 X1356( 27.27/4.49 V_45))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1360, 27.27/4.49 X1362, 27.27/4.49 X1364:( 27.27/4.49 ( 27.27/4.49 $i > $i))]: 27.27/4.49 (( 27.27/4.49 ![X1366]: 27.27/4.49 (in( 27.27/4.49 X1366, 27.27/4.49 X1360) => 27.27/4.49 in( 27.27/4.49 X1364( 27.27/4.49 X1366), 27.27/4.49 X1362))) => 27.27/4.49 (![X1368]: 27.27/4.49 (in( 27.27/4.49 X1368, 27.27/4.49 X1360) => 27.27/4.49 (ap( 27.27/4.49 X1360, 27.27/4.49 X1362, 27.27/4.49 lam( 27.27/4.49 X1360, 27.27/4.49 X1362, 27.27/4.49 ^[V_46]: 27.27/4.49 X1364( 27.27/4.49 V_46)), 27.27/4.49 X1368) = 27.27/4.49 X1364( 27.27/4.49 X1368)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1370, 27.27/4.49 X1372, 27.27/4.49 X1374]: 27.27/4.49 (in( 27.27/4.49 X1374, 27.27/4.49 funcSet( 27.27/4.49 X1370, 27.27/4.49 X1372)) => 27.27/4.49 (lam( 27.27/4.49 X1370, 27.27/4.49 X1372, 27.27/4.49 ^[V_47]: 27.27/4.49 ap( 27.27/4.49 X1370, 27.27/4.49 X1372, 27.27/4.49 X1374, 27.27/4.49 V_47)) = 27.27/4.49 X1374))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1376, 27.27/4.49 X1378:$o, 27.27/4.49 X1380]: 27.27/4.49 (in( 27.27/4.49 X1380, 27.27/4.49 X1376) => 27.27/4.49 (![X1382]: 27.27/4.49 (in( 27.27/4.49 X1382, 27.27/4.49 X1376) => 27.27/4.49 (( 27.27/4.49 ~X1378) => 27.27/4.49 in( 27.27/4.49 X1382, 27.27/4.49 dsetconstr( 27.27/4.49 X1376, 27.27/4.49 ^[V_48]: 27.27/4.49 (( 27.27/4.49 ( 27.27/4.49 V_48 = 27.27/4.49 X1382) & 27.27/4.49 ( 27.27/4.49 ~X1378)) | 27.27/4.49 (( 27.27/4.49 V_48 = 27.27/4.49 X1380) & 27.27/4.49 X1378))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1384, 27.27/4.49 X1386:$o, 27.27/4.49 X1388]: 27.27/4.49 (in( 27.27/4.49 X1388, 27.27/4.49 X1384) => 27.27/4.49 (![X1390]: 27.27/4.49 (in( 27.27/4.49 X1390, 27.27/4.49 X1384) => 27.27/4.49 (( 27.27/4.49 ~X1386) => 27.27/4.49 (dsetconstr( 27.27/4.49 X1384, 27.27/4.49 ^[V_49]: 27.27/4.49 (( 27.27/4.49 ( 27.27/4.49 V_49 = 27.27/4.49 X1390) & 27.27/4.49 ( 27.27/4.49 ~X1386)) | 27.27/4.49 (( 27.27/4.49 V_49 = 27.27/4.49 X1388) & 27.27/4.49 X1386))) = 27.27/4.49 setadjoin( 27.27/4.49 X1390, 27.27/4.49 emptyset))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1392, 27.27/4.49 X1394:$o, 27.27/4.49 X1396]: 27.27/4.49 (in( 27.27/4.49 X1396, 27.27/4.49 X1392) => 27.27/4.49 (![X1398]: 27.27/4.49 (in( 27.27/4.49 X1398, 27.27/4.49 X1392) => 27.27/4.49 (X1394 => 27.27/4.49 in( 27.27/4.49 X1396, 27.27/4.49 dsetconstr( 27.27/4.49 X1392, 27.27/4.49 ^[V_50]: 27.27/4.49 (( 27.27/4.49 ( 27.27/4.49 V_50 = 27.27/4.49 X1398) & 27.27/4.49 ( 27.27/4.49 ~X1394)) | 27.27/4.49 (( 27.27/4.49 V_50 = 27.27/4.49 X1396) & 27.27/4.49 X1394))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1400, 27.27/4.49 X1402:$o, 27.27/4.49 X1404]: 27.27/4.49 (in( 27.27/4.49 X1404, 27.27/4.49 X1400) => 27.27/4.49 (![X1406]: 27.27/4.49 (in( 27.27/4.49 X1406, 27.27/4.49 X1400) => 27.27/4.49 (X1402 => 27.27/4.49 (dsetconstr( 27.27/4.49 X1400, 27.27/4.49 ^[V_51]: 27.27/4.49 (( 27.27/4.49 ( 27.27/4.49 V_51 = 27.27/4.49 X1406) & 27.27/4.49 ( 27.27/4.49 ~X1402)) | 27.27/4.49 (( 27.27/4.49 V_51 = 27.27/4.49 X1404) & 27.27/4.49 X1402))) = 27.27/4.49 setadjoin( 27.27/4.49 X1404, 27.27/4.49 emptyset))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1408, 27.27/4.49 X1410:$o, 27.27/4.49 X1412]: 27.27/4.49 (in( 27.27/4.49 X1412, 27.27/4.49 X1408) => 27.27/4.49 (![X1414]: 27.27/4.49 (in( 27.27/4.49 X1414, 27.27/4.49 X1408) => 27.27/4.49 singleton( 27.27/4.49 dsetconstr( 27.27/4.49 X1408, 27.27/4.49 ^[V_52]: 27.27/4.49 (( 27.27/4.49 ( 27.27/4.49 V_52 = 27.27/4.49 X1414) & 27.27/4.49 ( 27.27/4.49 ~X1410)) | 27.27/4.49 (( 27.27/4.49 V_52 = 27.27/4.49 X1412) & 27.27/4.49 X1410)))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1416, 27.27/4.49 X1418:$o, 27.27/4.49 X1420]: 27.27/4.49 (in( 27.27/4.49 X1420, 27.27/4.49 X1416) => 27.27/4.49 (![X1422]: 27.27/4.49 (in( 27.27/4.49 X1422, 27.27/4.49 X1416) => 27.27/4.49 in( 27.27/4.49 if( 27.27/4.49 X1416, 27.27/4.49 X1418, 27.27/4.49 X1420, 27.27/4.49 X1422), 27.27/4.49 X1416))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1424]: 27.27/4.49 (singleton( 27.27/4.49 X1424) => 27.27/4.49 (![X1426]: 27.27/4.49 (in( 27.27/4.49 X1426, 27.27/4.49 X1424) => 27.27/4.49 (setunion( 27.27/4.49 X1424) = 27.27/4.49 X1426))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1428, 27.27/4.49 X1430:$o, 27.27/4.49 X1432]: 27.27/4.49 (in( 27.27/4.49 X1432, 27.27/4.49 X1428) => 27.27/4.49 (![X1434]: 27.27/4.49 (in( 27.27/4.49 X1434, 27.27/4.49 X1428) => 27.27/4.49 (X1430 => 27.27/4.49 (if( 27.27/4.49 X1428, 27.27/4.49 X1430, 27.27/4.49 X1432, 27.27/4.49 X1434) = 27.27/4.49 X1432)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1436, 27.27/4.49 X1438:$o, 27.27/4.49 X1440]: 27.27/4.49 (in( 27.27/4.49 X1440, 27.27/4.49 X1436) => 27.27/4.49 (![X1442]: 27.27/4.49 (in( 27.27/4.49 X1442, 27.27/4.49 X1436) => 27.27/4.49 (( 27.27/4.49 ~X1438) => 27.27/4.49 (if( 27.27/4.49 X1436, 27.27/4.49 X1438, 27.27/4.49 X1440, 27.27/4.49 X1442) = 27.27/4.49 X1442)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1444, 27.27/4.49 X1446:$o, 27.27/4.49 X1448]: 27.27/4.49 (in( 27.27/4.49 X1448, 27.27/4.49 X1444) => 27.27/4.49 (![X1450]: 27.27/4.49 (in( 27.27/4.49 X1450, 27.27/4.49 X1444) => 27.27/4.49 in( 27.27/4.49 if( 27.27/4.49 X1444, 27.27/4.49 X1446, 27.27/4.49 X1448, 27.27/4.49 X1450), 27.27/4.49 setadjoin( 27.27/4.49 X1448, 27.27/4.49 setadjoin( 27.27/4.49 X1450, 27.27/4.49 emptyset))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1452, 27.27/4.49 X1454]: 27.27/4.49 (in( 27.27/4.49 X1454, 27.27/4.49 powerset( 27.27/4.49 X1452)) => 27.27/4.49 (![X1456]: 27.27/4.49 (in( 27.27/4.49 X1456, 27.27/4.49 powerset( 27.27/4.49 X1452)) => 27.27/4.49 in( 27.27/4.49 binintersect( 27.27/4.49 X1454, 27.27/4.49 X1456), 27.27/4.49 powerset( 27.27/4.49 X1452)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1458, 27.27/4.49 X1460]: 27.27/4.49 (in( 27.27/4.49 X1460, 27.27/4.49 powerset( 27.27/4.49 X1458)) => 27.27/4.49 (![X1462]: 27.27/4.49 (in( 27.27/4.49 X1462, 27.27/4.49 powerset( 27.27/4.49 X1458)) => 27.27/4.49 in( 27.27/4.49 binunion( 27.27/4.49 X1460, 27.27/4.49 X1462), 27.27/4.49 powerset( 27.27/4.49 X1458)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1464, 27.27/4.49 X1466]: 27.27/4.49 (in( 27.27/4.49 X1466, 27.27/4.49 powerset( 27.27/4.49 X1464)) => 27.27/4.49 in( 27.27/4.49 powerset( 27.27/4.49 X1466), 27.27/4.49 powerset( 27.27/4.49 powerset( 27.27/4.49 X1464))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1468, 27.27/4.49 X1470]: 27.27/4.49 (in( 27.27/4.49 X1470, 27.27/4.49 powerset( 27.27/4.49 X1468)) => 27.27/4.49 (![X1472]: 27.27/4.49 (in( 27.27/4.49 X1472, 27.27/4.49 powerset( 27.27/4.49 X1468)) => 27.27/4.49 in( 27.27/4.49 setminus( 27.27/4.49 X1470, 27.27/4.49 X1472), 27.27/4.49 powerset( 27.27/4.49 X1468)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1474, 27.27/4.49 X1476]: 27.27/4.49 (in( 27.27/4.49 X1476, 27.27/4.49 powerset( 27.27/4.49 X1474)) => 27.27/4.49 in( 27.27/4.49 setminus( 27.27/4.49 X1474, 27.27/4.49 X1476), 27.27/4.49 powerset( 27.27/4.49 X1474)))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1478, 27.27/4.49 X1480]: 27.27/4.49 (in( 27.27/4.49 X1480, 27.27/4.49 powerset( 27.27/4.49 X1478)) => 27.27/4.49 (![X1482]: 27.27/4.49 (in( 27.27/4.49 X1482, 27.27/4.49 powerset( 27.27/4.49 X1478)) => 27.27/4.49 (( 27.27/4.49 ![X1484]: 27.27/4.49 (in( 27.27/4.49 X1484, 27.27/4.49 X1478) => 27.27/4.49 (in( 27.27/4.49 X1484, 27.27/4.49 X1480) => 27.27/4.49 in( 27.27/4.49 X1484, 27.27/4.49 X1482)))) => 27.27/4.49 (( 27.27/4.49 ![X1486]: 27.27/4.49 (in( 27.27/4.49 X1486, 27.27/4.49 X1478) => 27.27/4.49 (in( 27.27/4.49 X1486, 27.27/4.49 X1482) => 27.27/4.49 in( 27.27/4.49 X1486, 27.27/4.49 X1480)))) => 27.27/4.49 (X1480 = 27.27/4.49 X1482))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1488, 27.27/4.49 X1490]: 27.27/4.49 (in( 27.27/4.49 X1490, 27.27/4.49 powerset( 27.27/4.49 X1488)) => 27.27/4.49 (![X1492]: 27.27/4.49 (in( 27.27/4.49 X1492, 27.27/4.49 powerset( 27.27/4.49 X1488)) => 27.27/4.49 (( 27.27/4.49 ![X1494]: 27.27/4.49 (in( 27.27/4.49 X1494, 27.27/4.49 X1488) => 27.27/4.49 (in( 27.27/4.49 X1494, 27.27/4.49 X1490) => 27.27/4.49 in( 27.27/4.49 X1494, 27.27/4.49 X1492)))) => 27.27/4.49 subset( 27.27/4.49 X1490, 27.27/4.49 X1492)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1496, 27.27/4.49 X1498]: 27.27/4.49 (in( 27.27/4.49 X1498, 27.27/4.49 powerset( 27.27/4.49 X1496)) => 27.27/4.49 (![X1500]: 27.27/4.49 (in( 27.27/4.49 X1500, 27.27/4.49 powerset( 27.27/4.49 X1496)) => 27.27/4.49 (( 27.27/4.49 ![X1502]: 27.27/4.49 (in( 27.27/4.49 X1502, 27.27/4.49 X1496) => 27.27/4.49 (in( 27.27/4.49 X1502, 27.27/4.49 X1498) => 27.27/4.49 in( 27.27/4.49 X1502, 27.27/4.49 X1500)))) => 27.27/4.49 in( 27.27/4.49 X1498, 27.27/4.49 powerset( 27.27/4.49 X1500))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1504, 27.27/4.49 X1506]: 27.27/4.49 (in( 27.27/4.49 X1506, 27.27/4.49 powerset( 27.27/4.49 X1504)) => 27.27/4.49 (![X1508]: 27.27/4.49 (in( 27.27/4.49 X1508, 27.27/4.49 powerset( 27.27/4.49 X1504)) => 27.27/4.49 (![X1510]: 27.27/4.49 (in( 27.27/4.49 X1510, 27.27/4.49 X1504) => 27.27/4.49 (in( 27.27/4.49 X1506, 27.27/4.49 powerset( 27.27/4.49 X1508)) => 27.27/4.49 (in( 27.27/4.49 X1510, 27.27/4.49 X1506) => 27.27/4.49 in( 27.27/4.49 X1510, 27.27/4.49 X1508))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1512, 27.27/4.49 X1514]: 27.27/4.49 (in( 27.27/4.49 X1514, 27.27/4.49 powerset( 27.27/4.49 X1512)) => 27.27/4.49 (![X1516]: 27.27/4.49 (in( 27.27/4.49 X1516, 27.27/4.49 X1512) => 27.27/4.49 (in( 27.27/4.49 X1516, 27.27/4.49 X1514) => 27.27/4.49 (~ 27.27/4.49 in( 27.27/4.49 X1516, 27.27/4.49 setminus( 27.27/4.49 X1512, 27.27/4.49 X1514)))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1518, 27.27/4.49 X1520]: 27.27/4.49 (in( 27.27/4.49 X1520, 27.27/4.49 powerset( 27.27/4.49 X1518)) => 27.27/4.49 (![X1522]: 27.27/4.49 (in( 27.27/4.49 X1522, 27.27/4.49 X1518) => 27.27/4.49 (( 27.27/4.49 ~ 27.27/4.49 in( 27.27/4.49 X1522, 27.27/4.49 setminus( 27.27/4.49 X1518, 27.27/4.49 X1520))) => 27.27/4.49 in( 27.27/4.49 X1522, 27.27/4.49 X1520)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1524, 27.27/4.49 X1526]: 27.27/4.49 (in( 27.27/4.49 X1526, 27.27/4.49 powerset( 27.27/4.49 X1524)) => 27.27/4.49 (![X1528]: 27.27/4.49 (in( 27.27/4.49 X1528, 27.27/4.49 powerset( 27.27/4.49 X1524)) => 27.27/4.49 (![X1530]: 27.27/4.49 (in( 27.27/4.49 X1530, 27.27/4.49 X1524) => 27.27/4.49 (( 27.27/4.49 ~ 27.27/4.49 in( 27.27/4.49 X1530, 27.27/4.49 X1526)) => 27.27/4.49 (~ 27.27/4.49 in( 27.27/4.49 X1530, 27.27/4.49 binintersect( 27.27/4.49 X1526, 27.27/4.49 X1528)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1532, 27.27/4.49 X1534]: 27.27/4.49 (in( 27.27/4.49 X1534, 27.27/4.49 powerset( 27.27/4.49 X1532)) => 27.27/4.49 (![X1536]: 27.27/4.49 (in( 27.27/4.49 X1536, 27.27/4.49 powerset( 27.27/4.49 X1532)) => 27.27/4.49 (![X1538]: 27.27/4.49 (in( 27.27/4.49 X1538, 27.27/4.49 X1532) => 27.27/4.49 (( 27.27/4.49 ~ 27.27/4.49 in( 27.27/4.49 X1538, 27.27/4.49 X1536)) => 27.27/4.49 (~ 27.27/4.49 in( 27.27/4.49 X1538, 27.27/4.49 binintersect( 27.27/4.49 X1534, 27.27/4.49 X1536)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1540, 27.27/4.49 X1542]: 27.27/4.49 (in( 27.27/4.49 X1542, 27.27/4.49 powerset( 27.27/4.49 X1540)) => 27.27/4.49 (![X1544]: 27.27/4.49 (in( 27.27/4.49 X1544, 27.27/4.49 powerset( 27.27/4.49 X1540)) => 27.27/4.49 (![X1546]: 27.27/4.49 (in( 27.27/4.49 X1546, 27.27/4.49 X1540) => 27.27/4.49 (subset( 27.27/4.49 X1542, 27.27/4.49 setminus( 27.27/4.49 X1540, 27.27/4.49 X1544)) => 27.27/4.49 (in( 27.27/4.49 X1546, 27.27/4.49 X1544) => 27.27/4.49 (~ 27.27/4.49 in( 27.27/4.49 X1546, 27.27/4.49 X1542)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1548, 27.27/4.49 X1550]: 27.27/4.49 (in( 27.27/4.49 X1550, 27.27/4.49 powerset( 27.27/4.49 X1548)) => 27.27/4.49 (![X1552]: 27.27/4.49 (in( 27.27/4.49 X1552, 27.27/4.49 powerset( 27.27/4.49 X1548)) => 27.27/4.49 (![X1554]: 27.27/4.49 (in( 27.27/4.49 X1554, 27.27/4.49 X1548) => 27.27/4.49 (subset( 27.27/4.49 X1550, 27.27/4.49 X1552) => 27.27/4.49 (( 27.27/4.49 ~ 27.27/4.49 in( 27.27/4.49 X1554, 27.27/4.49 X1552)) => 27.27/4.49 (~ 27.27/4.49 in( 27.27/4.49 X1554, 27.27/4.49 X1550)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1556, 27.27/4.49 X1558]: 27.27/4.49 (in( 27.27/4.49 X1558, 27.27/4.49 powerset( 27.27/4.49 X1556)) => 27.27/4.49 (![X1560]: 27.27/4.49 (in( 27.27/4.49 X1560, 27.27/4.49 powerset( 27.27/4.49 X1556)) => 27.27/4.49 (subset( 27.27/4.49 X1558, 27.27/4.49 X1560) => 27.27/4.49 subset( 27.27/4.49 setminus( 27.27/4.49 X1556, 27.27/4.49 X1560), 27.27/4.49 setminus( 27.27/4.49 X1556, 27.27/4.49 X1558))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1562, 27.27/4.49 X1564]: 27.27/4.49 (in( 27.27/4.49 X1564, 27.27/4.49 powerset( 27.27/4.49 X1562)) => 27.27/4.49 (![X1566]: 27.27/4.49 (in( 27.27/4.49 X1566, 27.27/4.49 powerset( 27.27/4.49 X1562)) => 27.27/4.49 (subset( 27.27/4.49 setminus( 27.27/4.49 X1562, 27.27/4.49 X1566), 27.27/4.49 setminus( 27.27/4.49 X1562, 27.27/4.49 X1564)) => 27.27/4.49 subset( 27.27/4.49 X1564, 27.27/4.49 X1566)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1568, 27.27/4.49 X1570]: 27.27/4.49 (in( 27.27/4.49 X1570, 27.27/4.49 powerset( 27.27/4.49 X1568)) => 27.27/4.49 (![X1572]: 27.27/4.49 (in( 27.27/4.49 X1572, 27.27/4.49 X1568) => 27.27/4.49 (in( 27.27/4.49 X1572, 27.27/4.49 X1570) => 27.27/4.49 in( 27.27/4.49 X1572, 27.27/4.49 setminus( 27.27/4.49 X1568, 27.27/4.49 setminus( 27.27/4.49 X1568, 27.27/4.49 X1570)))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1574, 27.27/4.49 X1576]: 27.27/4.49 (in( 27.27/4.49 X1576, 27.27/4.49 powerset( 27.27/4.49 X1574)) => 27.27/4.49 (![X1578]: 27.27/4.49 (in( 27.27/4.49 X1578, 27.27/4.49 X1574) => 27.27/4.49 (in( 27.27/4.49 X1578, 27.27/4.49 setminus( 27.27/4.49 X1574, 27.27/4.49 setminus( 27.27/4.49 X1574, 27.27/4.49 X1576))) => 27.27/4.49 in( 27.27/4.49 X1578, 27.27/4.49 X1576)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1580, 27.27/4.49 X1582]: 27.27/4.49 (in( 27.27/4.49 X1582, 27.27/4.49 powerset( 27.27/4.49 X1580)) => 27.27/4.49 subset( 27.27/4.49 X1582, 27.27/4.49 setminus( 27.27/4.49 X1580, 27.27/4.49 setminus( 27.27/4.49 X1580, 27.27/4.49 X1582))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1584, 27.27/4.49 X1586]: 27.27/4.49 (in( 27.27/4.49 X1586, 27.27/4.49 powerset( 27.27/4.49 X1584)) => 27.27/4.49 subset( 27.27/4.49 setminus( 27.27/4.49 X1584, 27.27/4.49 setminus( 27.27/4.49 X1584, 27.27/4.49 X1586)), 27.27/4.49 X1586))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1588, 27.27/4.49 X1590]: 27.27/4.49 (in( 27.27/4.49 X1590, 27.27/4.49 powerset( 27.27/4.49 X1588)) => 27.27/4.49 (X1590 = 27.27/4.49 setminus( 27.27/4.49 X1588, 27.27/4.49 setminus( 27.27/4.49 X1588, 27.27/4.49 X1590))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1592, 27.27/4.49 X1594]: 27.27/4.49 (in( 27.27/4.49 X1594, 27.27/4.49 powerset( 27.27/4.49 X1592)) => 27.27/4.49 (![X1596]: 27.27/4.49 (in( 27.27/4.49 X1596, 27.27/4.49 powerset( 27.27/4.49 X1592)) => 27.27/4.49 (![X1598]: 27.27/4.49 (in( 27.27/4.49 X1598, 27.27/4.49 X1592) => 27.27/4.49 (in( 27.27/4.49 X1598, 27.27/4.49 setminus( 27.27/4.49 X1592, 27.27/4.49 X1594)) => 27.27/4.49 (~ 27.27/4.49 in( 27.27/4.49 X1598, 27.27/4.49 binintersect( 27.27/4.49 X1594, 27.27/4.49 X1596)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1600, 27.27/4.49 X1602]: 27.27/4.49 (in( 27.27/4.49 X1602, 27.27/4.49 powerset( 27.27/4.49 X1600)) => 27.27/4.49 (![X1604]: 27.27/4.49 (in( 27.27/4.49 X1604, 27.27/4.49 powerset( 27.27/4.49 X1600)) => 27.27/4.49 (![X1606]: 27.27/4.49 (in( 27.27/4.49 X1606, 27.27/4.49 X1600) => 27.27/4.49 (in( 27.27/4.49 X1606, 27.27/4.49 setminus( 27.27/4.49 X1600, 27.27/4.49 X1602)) => 27.27/4.49 in( 27.27/4.49 X1606, 27.27/4.49 setminus( 27.27/4.49 X1600, 27.27/4.49 binintersect( 27.27/4.49 X1602, 27.27/4.49 X1604)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1608, 27.27/4.49 X1610]: 27.27/4.49 (in( 27.27/4.49 X1610, 27.27/4.49 powerset( 27.27/4.49 X1608)) => 27.27/4.49 (![X1612]: 27.27/4.49 (in( 27.27/4.49 X1612, 27.27/4.49 powerset( 27.27/4.49 X1608)) => 27.27/4.49 subset( 27.27/4.49 setminus( 27.27/4.49 X1608, 27.27/4.49 X1610), 27.27/4.49 setminus( 27.27/4.49 X1608, 27.27/4.49 binintersect( 27.27/4.49 X1610, 27.27/4.49 X1612))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1614, 27.27/4.49 X1616]: 27.27/4.49 (in( 27.27/4.49 X1616, 27.27/4.49 powerset( 27.27/4.49 X1614)) => 27.27/4.49 (![X1618]: 27.27/4.49 (in( 27.27/4.49 X1618, 27.27/4.49 powerset( 27.27/4.49 X1614)) => 27.27/4.49 in( 27.27/4.49 setminus( 27.27/4.49 X1614, 27.27/4.49 X1616), 27.27/4.49 powerset( 27.27/4.49 setminus( 27.27/4.49 X1614, 27.27/4.49 binintersect( 27.27/4.49 X1616, 27.27/4.49 X1618)))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1620, 27.27/4.49 X1622]: 27.27/4.49 (in( 27.27/4.49 X1622, 27.27/4.49 powerset( 27.27/4.49 X1620)) => 27.27/4.49 (![X1624]: 27.27/4.49 (in( 27.27/4.49 X1624, 27.27/4.49 powerset( 27.27/4.49 X1620)) => 27.27/4.49 (subset( 27.27/4.49 X1622, 27.27/4.49 setminus( 27.27/4.49 X1620, 27.27/4.49 X1624)) => 27.27/4.49 (![X1626]: 27.27/4.49 (in( 27.27/4.49 X1626, 27.27/4.49 X1620) => 27.27/4.49 (in( 27.27/4.49 X1626, 27.27/4.49 X1624) => 27.27/4.49 in( 27.27/4.49 X1626, 27.27/4.49 setminus( 27.27/4.49 X1620, 27.27/4.49 X1622)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1628, 27.27/4.49 X1630]: 27.27/4.49 (in( 27.27/4.49 X1630, 27.27/4.49 powerset( 27.27/4.49 X1628)) => 27.27/4.49 (![X1632]: 27.27/4.49 (in( 27.27/4.49 X1632, 27.27/4.49 powerset( 27.27/4.49 X1628)) => 27.27/4.49 (subset( 27.27/4.49 X1630, 27.27/4.49 setminus( 27.27/4.49 X1628, 27.27/4.49 X1632)) => 27.27/4.49 subset( 27.27/4.49 X1632, 27.27/4.49 setminus( 27.27/4.49 X1628, 27.27/4.49 X1630))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1634, 27.27/4.49 X1636]: 27.27/4.49 (in( 27.27/4.49 X1636, 27.27/4.49 powerset( 27.27/4.49 X1634)) => 27.27/4.49 (![X1638]: 27.27/4.49 (in( 27.27/4.49 X1638, 27.27/4.49 powerset( 27.27/4.49 X1634)) => 27.27/4.49 (![X1640]: 27.27/4.49 (in( 27.27/4.49 X1640, 27.27/4.49 X1634) => 27.27/4.49 (( 27.27/4.49 ~ 27.27/4.49 in( 27.27/4.49 X1640, 27.27/4.49 binunion( 27.27/4.49 X1636, 27.27/4.49 X1638))) => 27.27/4.49 (~ 27.27/4.49 in( 27.27/4.49 X1640, 27.27/4.49 X1636))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1642, 27.27/4.49 X1644]: 27.27/4.49 (in( 27.27/4.49 X1644, 27.27/4.49 powerset( 27.27/4.49 X1642)) => 27.27/4.49 (![X1646]: 27.27/4.49 (in( 27.27/4.49 X1646, 27.27/4.49 powerset( 27.27/4.49 X1642)) => 27.27/4.49 (![X1648]: 27.27/4.49 (in( 27.27/4.49 X1648, 27.27/4.49 X1642) => 27.27/4.49 (( 27.27/4.49 ~ 27.27/4.49 in( 27.27/4.49 X1648, 27.27/4.49 binunion( 27.27/4.49 X1644, 27.27/4.49 X1646))) => 27.27/4.49 (~ 27.27/4.49 in( 27.27/4.49 X1648, 27.27/4.49 X1646))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1650, 27.27/4.49 X1652]: 27.27/4.49 (in( 27.27/4.49 X1652, 27.27/4.49 powerset( 27.27/4.49 X1650)) => 27.27/4.49 (![X1654]: 27.27/4.49 (in( 27.27/4.49 X1654, 27.27/4.49 powerset( 27.27/4.49 X1650)) => 27.27/4.49 (![X1656]: 27.27/4.49 (in( 27.27/4.49 X1656, 27.27/4.49 powerset( 27.27/4.49 X1650)) => 27.27/4.49 (![X1658]: 27.27/4.49 (in( 27.27/4.49 X1658, 27.27/4.49 X1650) => 27.27/4.49 (in( 27.27/4.49 X1658, 27.27/4.49 binintersect( 27.27/4.49 X1652, 27.27/4.49 X1654)) => 27.27/4.49 in( 27.27/4.49 X1658, 27.27/4.49 binunion( 27.27/4.49 X1652, 27.27/4.49 X1656))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1660, 27.27/4.49 X1662]: 27.27/4.49 (in( 27.27/4.49 X1662, 27.27/4.49 powerset( 27.27/4.49 X1660)) => 27.27/4.49 (![X1664]: 27.27/4.49 (in( 27.27/4.49 X1664, 27.27/4.49 powerset( 27.27/4.49 X1660)) => 27.27/4.49 (![X1666]: 27.27/4.49 (in( 27.27/4.49 X1666, 27.27/4.49 powerset( 27.27/4.49 X1660)) => 27.27/4.49 (![X1668]: 27.27/4.49 (in( 27.27/4.49 X1668, 27.27/4.49 X1660) => 27.27/4.49 (in( 27.27/4.49 X1668, 27.27/4.49 binintersect( 27.27/4.49 X1662, 27.27/4.49 X1664)) => 27.27/4.49 in( 27.27/4.49 X1668, 27.27/4.49 binunion( 27.27/4.49 X1664, 27.27/4.49 X1666))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1670, 27.27/4.49 X1672]: 27.27/4.49 (in( 27.27/4.49 X1672, 27.27/4.49 powerset( 27.27/4.49 X1670)) => 27.27/4.49 (![X1674]: 27.27/4.49 (in( 27.27/4.49 X1674, 27.27/4.49 powerset( 27.27/4.49 X1670)) => 27.27/4.49 (![X1676]: 27.27/4.49 (in( 27.27/4.49 X1676, 27.27/4.49 powerset( 27.27/4.49 X1670)) => 27.27/4.49 (![X1678]: 27.27/4.49 (in( 27.27/4.49 X1678, 27.27/4.49 X1670) => 27.27/4.49 (in( 27.27/4.49 X1678, 27.27/4.49 binintersect( 27.27/4.49 X1672, 27.27/4.49 X1674)) => 27.27/4.49 in( 27.27/4.49 X1678, 27.27/4.49 binintersect( 27.27/4.49 binunion( 27.27/4.49 X1672, 27.27/4.49 X1676), 27.27/4.49 binunion( 27.27/4.49 X1674, 27.27/4.49 X1676)))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1680, 27.27/4.49 X1682]: 27.27/4.49 (in( 27.27/4.49 X1682, 27.27/4.49 powerset( 27.27/4.49 X1680)) => 27.27/4.49 (![X1684]: 27.27/4.49 (in( 27.27/4.49 X1684, 27.27/4.49 powerset( 27.27/4.49 X1680)) => 27.27/4.49 (![X1686]: 27.27/4.49 (in( 27.27/4.49 X1686, 27.27/4.49 powerset( 27.27/4.49 X1680)) => 27.27/4.49 in( 27.27/4.49 binintersect( 27.27/4.49 X1682, 27.27/4.49 X1684), 27.27/4.49 powerset( 27.27/4.49 binintersect( 27.27/4.49 binunion( 27.27/4.49 X1682, 27.27/4.49 X1686), 27.27/4.49 binunion( 27.27/4.49 X1684, 27.27/4.49 X1686)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1688, 27.27/4.49 X1690]: 27.27/4.49 (in( 27.27/4.49 X1690, 27.27/4.49 powerset( 27.27/4.49 X1688)) => 27.27/4.49 (![X1692]: 27.27/4.49 (in( 27.27/4.49 X1692, 27.27/4.49 powerset( 27.27/4.49 X1688)) => 27.27/4.49 (![X1694]: 27.27/4.49 (in( 27.27/4.49 X1694, 27.27/4.49 X1688) => 27.27/4.49 (in( 27.27/4.49 X1694, 27.27/4.49 setminus( 27.27/4.49 X1688, 27.27/4.49 binunion( 27.27/4.49 X1690, 27.27/4.49 X1692))) => 27.27/4.49 (~ 27.27/4.49 in( 27.27/4.49 X1694, 27.27/4.49 X1690))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1696, 27.27/4.49 X1698]: 27.27/4.49 (in( 27.27/4.49 X1698, 27.27/4.49 powerset( 27.27/4.49 X1696)) => 27.27/4.49 (![X1700]: 27.27/4.49 (in( 27.27/4.49 X1700, 27.27/4.49 powerset( 27.27/4.49 X1696)) => 27.27/4.49 (![X1702]: 27.27/4.49 (in( 27.27/4.49 X1702, 27.27/4.49 X1696) => 27.27/4.49 (in( 27.27/4.49 X1702, 27.27/4.49 setminus( 27.27/4.49 X1696, 27.27/4.49 binunion( 27.27/4.49 X1698, 27.27/4.49 X1700))) => 27.27/4.49 in( 27.27/4.49 X1702, 27.27/4.49 setminus( 27.27/4.49 X1696, 27.27/4.49 X1698))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1704, 27.27/4.49 X1706]: 27.27/4.49 (in( 27.27/4.49 X1706, 27.27/4.49 powerset( 27.27/4.49 X1704)) => 27.27/4.49 (![X1708]: 27.27/4.49 (in( 27.27/4.49 X1708, 27.27/4.49 powerset( 27.27/4.49 X1704)) => 27.27/4.49 (![X1710:$o, 27.27/4.49 X1712]: 27.27/4.49 (in( 27.27/4.49 X1712, 27.27/4.49 X1704) => 27.27/4.49 (in( 27.27/4.49 X1712, 27.27/4.49 binunion( 27.27/4.49 X1706, 27.27/4.49 X1708)) => 27.27/4.49 (( 27.27/4.49 in( 27.27/4.49 X1712, 27.27/4.49 X1706) => 27.27/4.49 X1710) => 27.27/4.49 (( 27.27/4.49 in( 27.27/4.49 X1712, 27.27/4.49 X1708) => 27.27/4.49 X1710) => 27.27/4.49 X1710))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1714, 27.27/4.49 X1716]: 27.27/4.49 (in( 27.27/4.49 X1716, 27.27/4.49 powerset( 27.27/4.49 X1714)) => 27.27/4.49 (![X1718]: 27.27/4.49 (in( 27.27/4.49 X1718, 27.27/4.49 powerset( 27.27/4.49 X1714)) => 27.27/4.49 (![X1720]: 27.27/4.49 (in( 27.27/4.49 X1720, 27.27/4.49 X1714) => 27.27/4.49 (( 27.27/4.49 ~ 27.27/4.49 in( 27.27/4.49 X1720, 27.27/4.49 X1716)) => 27.27/4.49 (( 27.27/4.49 ~ 27.27/4.49 in( 27.27/4.49 X1720, 27.27/4.49 X1718)) => 27.27/4.49 (~ 27.27/4.49 in( 27.27/4.49 X1720, 27.27/4.49 binunion( 27.27/4.49 X1716, 27.27/4.49 X1718))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1722, 27.27/4.49 X1724]: 27.27/4.49 (in( 27.27/4.49 X1724, 27.27/4.49 powerset( 27.27/4.49 X1722)) => 27.27/4.49 (![X1726]: 27.27/4.49 (in( 27.27/4.49 X1726, 27.27/4.49 powerset( 27.27/4.49 X1722)) => 27.27/4.49 (![X1728]: 27.27/4.49 (in( 27.27/4.49 X1728, 27.27/4.49 X1722) => 27.27/4.49 (in( 27.27/4.49 X1728, 27.27/4.49 setminus( 27.27/4.49 X1722, 27.27/4.49 binunion( 27.27/4.49 X1724, 27.27/4.49 X1726))) => 27.27/4.49 in( 27.27/4.49 X1728, 27.27/4.49 setminus( 27.27/4.49 X1722, 27.27/4.49 X1724))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1730, 27.27/4.49 X1732]: 27.27/4.49 (in( 27.27/4.49 X1732, 27.27/4.49 powerset( 27.27/4.49 X1730)) => 27.27/4.49 (![X1734]: 27.27/4.49 (in( 27.27/4.49 X1734, 27.27/4.49 powerset( 27.27/4.49 X1730)) => 27.27/4.49 in( 27.27/4.49 setminus( 27.27/4.49 X1730, 27.27/4.49 binunion( 27.27/4.49 X1732, 27.27/4.49 X1734)), 27.27/4.49 powerset( 27.27/4.49 setminus( 27.27/4.49 X1730, 27.27/4.49 X1732))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1736, 27.27/4.49 X1738]: 27.27/4.49 (in( 27.27/4.49 X1738, 27.27/4.49 powerset( 27.27/4.49 X1736)) => 27.27/4.49 (![X1740]: 27.27/4.49 (in( 27.27/4.49 X1740, 27.27/4.49 powerset( 27.27/4.49 X1736)) => 27.27/4.49 (![X1742]: 27.27/4.49 (in( 27.27/4.49 X1742, 27.27/4.49 X1736) => 27.27/4.49 (in( 27.27/4.49 X1742, 27.27/4.49 setminus( 27.27/4.49 X1736, 27.27/4.49 binunion( 27.27/4.49 X1738, 27.27/4.49 X1740))) => 27.27/4.49 in( 27.27/4.49 X1742, 27.27/4.49 setminus( 27.27/4.49 X1736, 27.27/4.49 X1740))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1744, 27.27/4.49 X1746]: 27.27/4.49 (in( 27.27/4.49 X1746, 27.27/4.49 powerset( 27.27/4.49 X1744)) => 27.27/4.49 (![X1748]: 27.27/4.49 (in( 27.27/4.49 X1748, 27.27/4.49 powerset( 27.27/4.49 X1744)) => 27.27/4.49 (![X1750]: 27.27/4.49 (in( 27.27/4.49 X1750, 27.27/4.49 X1744) => 27.27/4.49 (in( 27.27/4.49 X1750, 27.27/4.49 setminus( 27.27/4.49 X1744, 27.27/4.49 binintersect( 27.27/4.49 X1746, 27.27/4.49 X1748))) => 27.27/4.49 in( 27.27/4.49 X1750, 27.27/4.49 binunion( 27.27/4.49 setminus( 27.27/4.49 X1744, 27.27/4.49 X1746), 27.27/4.49 setminus( 27.27/4.49 X1744, 27.27/4.49 X1748)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1752, 27.27/4.49 X1754]: 27.27/4.49 (in( 27.27/4.49 X1754, 27.27/4.49 powerset( 27.27/4.49 X1752)) => 27.27/4.49 (![X1756]: 27.27/4.49 (in( 27.27/4.49 X1756, 27.27/4.49 powerset( 27.27/4.49 X1752)) => 27.27/4.49 (![X1758]: 27.27/4.49 (in( 27.27/4.49 X1758, 27.27/4.49 X1752) => 27.27/4.49 (in( 27.27/4.49 X1758, 27.27/4.49 binunion( 27.27/4.49 setminus( 27.27/4.49 X1752, 27.27/4.49 X1754), 27.27/4.49 setminus( 27.27/4.49 X1752, 27.27/4.49 X1756))) => 27.27/4.49 in( 27.27/4.49 X1758, 27.27/4.49 setminus( 27.27/4.49 X1752, 27.27/4.49 binintersect( 27.27/4.49 X1754, 27.27/4.49 X1756)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1760, 27.27/4.49 X1762]: 27.27/4.49 (in( 27.27/4.49 X1762, 27.27/4.49 powerset( 27.27/4.49 X1760)) => 27.27/4.49 (![X1764]: 27.27/4.49 (in( 27.27/4.49 X1764, 27.27/4.49 powerset( 27.27/4.49 X1760)) => 27.27/4.49 (setminus( 27.27/4.49 X1760, 27.27/4.49 binintersect( 27.27/4.49 X1762, 27.27/4.49 X1764)) = 27.27/4.49 binunion( 27.27/4.49 setminus( 27.27/4.49 X1760, 27.27/4.49 X1762), 27.27/4.49 setminus( 27.27/4.49 X1760, 27.27/4.49 X1764))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1766, 27.27/4.49 X1768]: 27.27/4.49 (in( 27.27/4.49 X1768, 27.27/4.49 powerset( 27.27/4.49 X1766)) => 27.27/4.49 (![X1770]: 27.27/4.49 (in( 27.27/4.49 X1770, 27.27/4.49 powerset( 27.27/4.49 X1766)) => 27.27/4.49 (![X1772]: 27.27/4.49 (in( 27.27/4.49 X1772, 27.27/4.49 X1766) => 27.27/4.49 (in( 27.27/4.49 X1772, 27.27/4.49 setminus( 27.27/4.49 X1766, 27.27/4.49 binunion( 27.27/4.49 X1768, 27.27/4.49 X1770))) => 27.27/4.49 in( 27.27/4.49 X1772, 27.27/4.49 binintersect( 27.27/4.49 setminus( 27.27/4.49 X1766, 27.27/4.49 X1768), 27.27/4.49 setminus( 27.27/4.49 X1766, 27.27/4.49 X1770)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1774, 27.27/4.49 X1776]: 27.27/4.49 (in( 27.27/4.49 X1776, 27.27/4.49 powerset( 27.27/4.49 X1774)) => 27.27/4.49 (![X1778]: 27.27/4.49 (in( 27.27/4.49 X1778, 27.27/4.49 powerset( 27.27/4.49 X1774)) => 27.27/4.49 (![X1780]: 27.27/4.49 (in( 27.27/4.49 X1780, 27.27/4.49 X1774) => 27.27/4.49 (in( 27.27/4.49 X1780, 27.27/4.49 setminus( 27.27/4.49 X1774, 27.27/4.49 X1776)) => 27.27/4.49 (in( 27.27/4.49 X1780, 27.27/4.49 setminus( 27.27/4.49 X1774, 27.27/4.49 X1778)) => 27.27/4.49 in( 27.27/4.49 X1780, 27.27/4.49 setminus( 27.27/4.49 X1774, 27.27/4.49 binunion( 27.27/4.49 X1776, 27.27/4.49 X1778))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1782, 27.27/4.49 X1784]: 27.27/4.49 (in( 27.27/4.49 X1784, 27.27/4.49 powerset( 27.27/4.49 X1782)) => 27.27/4.49 (![X1786]: 27.27/4.49 (in( 27.27/4.49 X1786, 27.27/4.49 powerset( 27.27/4.49 X1782)) => 27.27/4.49 (![X1788]: 27.27/4.49 (in( 27.27/4.49 X1788, 27.27/4.49 X1782) => 27.27/4.49 (in( 27.27/4.49 X1788, 27.27/4.49 binintersect( 27.27/4.49 setminus( 27.27/4.49 X1782, 27.27/4.49 X1784), 27.27/4.49 setminus( 27.27/4.49 X1782, 27.27/4.49 X1786))) => 27.27/4.49 in( 27.27/4.49 X1788, 27.27/4.49 setminus( 27.27/4.49 X1782, 27.27/4.49 binunion( 27.27/4.49 X1784, 27.27/4.49 X1786)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1790, 27.27/4.49 X1792]: 27.27/4.49 (in( 27.27/4.49 X1792, 27.27/4.49 powerset( 27.27/4.49 X1790)) => 27.27/4.49 (![X1794]: 27.27/4.49 (in( 27.27/4.49 X1794, 27.27/4.49 powerset( 27.27/4.49 X1790)) => 27.27/4.49 (setminus( 27.27/4.49 X1790, 27.27/4.49 binunion( 27.27/4.49 X1792, 27.27/4.49 X1794)) = 27.27/4.49 binintersect( 27.27/4.49 setminus( 27.27/4.49 X1790, 27.27/4.49 X1792), 27.27/4.49 setminus( 27.27/4.49 X1790, 27.27/4.49 X1794))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1796, 27.27/4.49 X1798]: 27.27/4.49 (in( 27.27/4.49 X1798, 27.27/4.49 powerset( 27.27/4.49 X1796)) => 27.27/4.49 (![X1800]: 27.27/4.49 (in( 27.27/4.49 X1800, 27.27/4.49 powerset( 27.27/4.49 X1796)) => 27.27/4.49 (![X1802]: 27.27/4.49 (in( 27.27/4.49 X1802, 27.27/4.49 binintersect( 27.27/4.49 X1798, 27.27/4.49 X1800)) => 27.27/4.49 in( 27.27/4.49 X1802, 27.27/4.49 X1796))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1804, 27.27/4.49 X1806]: 27.27/4.49 (in( 27.27/4.49 X1806, 27.27/4.49 powerset( 27.27/4.49 X1804)) => 27.27/4.49 (![X1808]: 27.27/4.49 (in( 27.27/4.49 X1808, 27.27/4.49 powerset( 27.27/4.49 X1804)) => 27.27/4.49 (![X1810]: 27.27/4.49 (in( 27.27/4.49 X1810, 27.27/4.49 powerset( 27.27/4.49 X1804)) => 27.27/4.49 (subset( 27.27/4.49 X1806, 27.27/4.49 X1810) => 27.27/4.49 subset( 27.27/4.49 binintersect( 27.27/4.49 X1806, 27.27/4.49 X1808), 27.27/4.49 X1810)))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1812, 27.27/4.49 X1814]: 27.27/4.49 (in( 27.27/4.49 X1814, 27.27/4.49 powerset( 27.27/4.49 X1812)) => 27.27/4.49 (![X1816]: 27.27/4.49 (in( 27.27/4.49 X1816, 27.27/4.49 powerset( 27.27/4.49 X1812)) => 27.27/4.49 (![X1818]: 27.27/4.49 (in( 27.27/4.49 X1818, 27.27/4.49 powerset( 27.27/4.49 X1812)) => 27.27/4.49 (subset( 27.27/4.49 X1816, 27.27/4.49 X1818) => 27.27/4.49 subset( 27.27/4.49 binintersect( 27.27/4.49 X1814, 27.27/4.49 X1816), 27.27/4.49 X1818)))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1820, 27.27/4.49 X1822]: 27.27/4.49 (in( 27.27/4.49 X1822, 27.27/4.49 powerset( 27.27/4.49 X1820)) => 27.27/4.49 (![X1824]: 27.27/4.49 (in( 27.27/4.49 X1824, 27.27/4.49 powerset( 27.27/4.49 X1820)) => 27.27/4.49 (![X1826]: 27.27/4.49 (in( 27.27/4.49 X1826, 27.27/4.49 powerset( 27.27/4.49 X1820)) => 27.27/4.49 (subset( 27.27/4.49 X1822, 27.27/4.49 X1824) => 27.27/4.49 (subset( 27.27/4.49 X1822, 27.27/4.49 X1826) => 27.27/4.49 subset( 27.27/4.49 X1822, 27.27/4.49 binintersect( 27.27/4.49 X1824, 27.27/4.49 X1826)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1828, 27.27/4.49 X1830]: 27.27/4.49 (in( 27.27/4.49 X1830, 27.27/4.49 powerset( 27.27/4.49 X1828)) => 27.27/4.49 (![X1832]: 27.27/4.49 (in( 27.27/4.49 X1832, 27.27/4.49 powerset( 27.27/4.49 X1828)) => 27.27/4.49 (![X1834]: 27.27/4.49 (in( 27.27/4.49 X1834, 27.27/4.49 powerset( 27.27/4.49 X1828)) => 27.27/4.49 (![X1836]: 27.27/4.49 (in( 27.27/4.49 X1836, 27.27/4.49 powerset( 27.27/4.49 X1828)) => 27.27/4.49 (subset( 27.27/4.49 X1830, 27.27/4.49 X1834) => 27.27/4.49 (subset( 27.27/4.49 X1832, 27.27/4.49 X1836) => 27.27/4.49 subset( 27.27/4.49 binintersect( 27.27/4.49 X1830, 27.27/4.49 X1832), 27.27/4.49 binintersect( 27.27/4.49 X1834, 27.27/4.49 X1836)))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1838, 27.27/4.49 X1840]: 27.27/4.49 (in( 27.27/4.49 X1840, 27.27/4.49 powerset( 27.27/4.49 X1838)) => 27.27/4.49 (![X1842]: 27.27/4.49 (in( 27.27/4.49 X1842, 27.27/4.49 powerset( 27.27/4.49 X1838)) => 27.27/4.49 in( 27.27/4.49 setminus( 27.27/4.49 X1838, 27.27/4.49 X1840), 27.27/4.49 powerset( 27.27/4.49 setminus( 27.27/4.49 X1838, 27.27/4.49 binintersect( 27.27/4.49 X1840, 27.27/4.49 X1842)))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1844, 27.27/4.49 X1846]: 27.27/4.49 (in( 27.27/4.49 X1846, 27.27/4.49 powerset( 27.27/4.49 X1844)) => 27.27/4.49 (![X1848]: 27.27/4.49 (in( 27.27/4.49 X1848, 27.27/4.49 powerset( 27.27/4.49 X1844)) => 27.27/4.49 (![X1850]: 27.27/4.49 (in( 27.27/4.49 X1850, 27.27/4.49 powerset( 27.27/4.49 X1844)) => 27.27/4.49 (![X1852]: 27.27/4.49 (in( 27.27/4.49 X1852, 27.27/4.49 powerset( 27.27/4.49 X1844)) => 27.27/4.49 (setminus( 27.27/4.49 X1844, 27.27/4.49 binintersect( 27.27/4.49 binunion( 27.27/4.49 X1846, 27.27/4.49 X1848), 27.27/4.49 binunion( 27.27/4.49 X1850, 27.27/4.49 X1852))) = 27.27/4.49 binunion( 27.27/4.49 binintersect( 27.27/4.49 setminus( 27.27/4.49 X1844, 27.27/4.49 X1846), 27.27/4.49 setminus( 27.27/4.49 X1844, 27.27/4.49 X1848)), 27.27/4.49 binintersect( 27.27/4.49 setminus( 27.27/4.49 X1844, 27.27/4.49 X1850), 27.27/4.49 setminus( 27.27/4.49 X1844, 27.27/4.49 X1852)))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1854, 27.27/4.49 X1856]: 27.27/4.49 (in( 27.27/4.49 X1856, 27.27/4.49 powerset( 27.27/4.49 X1854)) => 27.27/4.49 (![X1858]: 27.27/4.49 (in( 27.27/4.49 X1858, 27.27/4.49 powerset( 27.27/4.49 X1854)) => 27.27/4.49 (![X1860]: 27.27/4.49 (in( 27.27/4.49 X1860, 27.27/4.49 powerset( 27.27/4.49 X1854)) => 27.27/4.49 in( 27.27/4.49 binintersect( 27.27/4.49 X1856, 27.27/4.49 X1858), 27.27/4.49 powerset( 27.27/4.49 binintersect( 27.27/4.49 binunion( 27.27/4.49 X1856, 27.27/4.49 X1860), 27.27/4.49 binunion( 27.27/4.49 X1858, 27.27/4.49 X1860)))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1862, 27.27/4.49 X1864]: 27.27/4.49 (in( 27.27/4.49 X1864, 27.27/4.49 powerset( 27.27/4.49 X1862)) => 27.27/4.49 (![X1866]: 27.27/4.49 (in( 27.27/4.49 X1866, 27.27/4.49 powerset( 27.27/4.49 X1862)) => 27.27/4.49 (subset( 27.27/4.49 X1864, 27.27/4.49 setminus( 27.27/4.49 X1862, 27.27/4.49 X1866)) => 27.27/4.49 subset( 27.27/4.49 X1866, 27.27/4.49 setminus( 27.27/4.49 X1862, 27.27/4.49 X1864))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1868, 27.27/4.49 X1870]: 27.27/4.49 (in( 27.27/4.49 X1870, 27.27/4.49 powerset( 27.27/4.49 X1868)) => 27.27/4.49 (![X1872]: 27.27/4.49 (in( 27.27/4.49 X1872, 27.27/4.49 powerset( 27.27/4.49 X1868)) => 27.27/4.49 in( 27.27/4.49 setminus( 27.27/4.49 X1868, 27.27/4.49 binunion( 27.27/4.49 X1870, 27.27/4.49 X1872)), 27.27/4.49 powerset( 27.27/4.49 setminus( 27.27/4.49 X1868, 27.27/4.49 X1870))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1874, 27.27/4.49 X1876]: 27.27/4.49 (breln1( 27.27/4.49 X1874, 27.27/4.49 X1876) => 27.27/4.49 (![X1878:( 27.27/4.49 ( 27.27/4.49 $i > $o))]: 27.27/4.49 (( 27.27/4.49 ![X1880]: 27.27/4.49 (in( 27.27/4.49 X1880, 27.27/4.49 X1874) => 27.27/4.49 (![X1882]: 27.27/4.49 (in( 27.27/4.49 X1882, 27.27/4.49 X1874) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1880, 27.27/4.49 X1882), 27.27/4.49 X1876) => 27.27/4.49 X1878( 27.27/4.49 kpair( 27.27/4.49 X1880, 27.27/4.49 X1882))))))) => 27.27/4.49 (![X1884]: 27.27/4.49 (in( 27.27/4.49 X1884, 27.27/4.49 X1876) => 27.27/4.49 X1878( 27.27/4.49 X1884))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1886, 27.27/4.49 X1888]: 27.27/4.49 (in( 27.27/4.49 X1888, 27.27/4.49 breln1Set( 27.27/4.49 X1886)) => 27.27/4.49 breln1( 27.27/4.49 X1886, 27.27/4.49 X1888))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1890, 27.27/4.49 X1892, 27.27/4.49 X1894:( 27.27/4.49 ($i * $i) > 27.27/4.49 $o)]: 27.27/4.49 (( 27.27/4.49 ![X1896]: 27.27/4.49 (in( 27.27/4.49 X1896, 27.27/4.49 X1890) => 27.27/4.49 (?[X1898]: 27.27/4.49 (X1894( 27.27/4.49 X1896, 27.27/4.49 X1898) & 27.27/4.49 in( 27.27/4.49 X1898, 27.27/4.49 X1892))))) => 27.27/4.49 (![X1900]: 27.27/4.49 (in( 27.27/4.49 X1900, 27.27/4.49 breln1Set( 27.27/4.49 X1892)) => 27.27/4.49 (reflwellordering( 27.27/4.49 X1892, 27.27/4.49 X1900) => 27.27/4.49 (![X1902]: 27.27/4.49 (in( 27.27/4.49 X1902, 27.27/4.49 X1890) => 27.27/4.49 singleton( 27.27/4.49 dsetconstr( 27.27/4.49 X1892, 27.27/4.49 ^[V_53]: 27.27/4.49 (( 27.27/4.49 ![X1904]: 27.27/4.49 (in( 27.27/4.49 X1904, 27.27/4.49 X1892) => 27.27/4.49 (X1894( 27.27/4.49 X1902, 27.27/4.49 X1904) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 V_53, 27.27/4.49 X1904), 27.27/4.49 X1900)))) & 27.27/4.49 X1894( 27.27/4.49 X1902, 27.27/4.49 V_53))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1906, 27.27/4.49 X1908:( 27.27/4.49 ($i * $i) > 27.27/4.49 $o)]: 27.27/4.49 breln1( 27.27/4.49 X1906, 27.27/4.49 dpsetconstr( 27.27/4.49 X1906, 27.27/4.49 X1906, 27.27/4.49 ^[V_54, 27.27/4.49 V_55]: 27.27/4.49 X1908( 27.27/4.49 V_54,V_55)))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1910, 27.27/4.49 X1912]: 27.27/4.49 (breln1( 27.27/4.49 X1910, 27.27/4.49 X1912) => 27.27/4.49 (![X1914:( 27.27/4.49 ( 27.27/4.49 $i > $o))]: 27.27/4.49 (( 27.27/4.49 ![X1916]: 27.27/4.49 (in( 27.27/4.49 X1916, 27.27/4.49 X1910) => 27.27/4.49 (![X1918]: 27.27/4.49 (in( 27.27/4.49 X1918, 27.27/4.49 X1910) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1916, 27.27/4.49 X1918), 27.27/4.49 X1912) => 27.27/4.49 X1914( 27.27/4.49 kpair( 27.27/4.49 X1916, 27.27/4.49 X1918))))))) => 27.27/4.49 (![X1920]: 27.27/4.49 (in( 27.27/4.49 X1920, 27.27/4.49 X1912) => 27.27/4.49 X1914( 27.27/4.49 X1920))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1922, 27.27/4.49 X1924]: 27.27/4.49 (breln1( 27.27/4.49 X1922, 27.27/4.49 X1924) => 27.27/4.49 (![X1926]: 27.27/4.49 (breln1( 27.27/4.49 X1922, 27.27/4.49 X1926) => 27.27/4.49 (( 27.27/4.49 ![X1928]: 27.27/4.49 (in( 27.27/4.49 X1928, 27.27/4.49 X1922) => 27.27/4.49 (![X1930]: 27.27/4.49 (in( 27.27/4.49 X1930, 27.27/4.49 X1922) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1928, 27.27/4.49 X1930), 27.27/4.49 X1924) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1928, 27.27/4.49 X1930), 27.27/4.49 X1926)))))) => 27.27/4.49 subset( 27.27/4.49 X1924, 27.27/4.49 X1926)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1932, 27.27/4.49 X1934]: 27.27/4.49 (breln1( 27.27/4.49 X1932, 27.27/4.49 X1934) => 27.27/4.49 (![X1936]: 27.27/4.49 (breln1( 27.27/4.49 X1932, 27.27/4.49 X1936) => 27.27/4.49 (( 27.27/4.49 ![X1938]: 27.27/4.49 (in( 27.27/4.49 X1938, 27.27/4.49 X1932) => 27.27/4.49 (![X1940]: 27.27/4.49 (in( 27.27/4.49 X1940, 27.27/4.49 X1932) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1938, 27.27/4.49 X1940), 27.27/4.49 X1934) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1938, 27.27/4.49 X1940), 27.27/4.49 X1936)))))) => 27.27/4.49 (( 27.27/4.49 ![X1942]: 27.27/4.49 (in( 27.27/4.49 X1942, 27.27/4.49 X1932) => 27.27/4.49 (![X1944]: 27.27/4.49 (in( 27.27/4.49 X1944, 27.27/4.49 X1932) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1942, 27.27/4.49 X1944), 27.27/4.49 X1936) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1942, 27.27/4.49 X1944), 27.27/4.49 X1934)))))) => 27.27/4.49 (X1934 = 27.27/4.49 X1936))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1946, 27.27/4.49 X1948]: 27.27/4.49 (breln1( 27.27/4.49 X1946, 27.27/4.49 X1948) => 27.27/4.49 breln1( 27.27/4.49 X1946, 27.27/4.49 breln1invset( 27.27/4.49 X1946, 27.27/4.49 X1948)))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1950, 27.27/4.49 X1952]: 27.27/4.49 (breln1( 27.27/4.49 X1950, 27.27/4.49 X1952) => 27.27/4.49 (![X1954]: 27.27/4.49 (in( 27.27/4.49 X1954, 27.27/4.49 X1950) => 27.27/4.49 (![X1956]: 27.27/4.49 (in( 27.27/4.49 X1956, 27.27/4.49 X1950) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1954, 27.27/4.49 X1956), 27.27/4.49 X1952) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1956, 27.27/4.49 X1954), 27.27/4.49 breln1invset( 27.27/4.49 X1950, 27.27/4.49 X1952))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1958, 27.27/4.49 X1960]: 27.27/4.49 (breln1( 27.27/4.49 X1958, 27.27/4.49 X1960) => 27.27/4.49 (![X1962]: 27.27/4.49 (in( 27.27/4.49 X1962, 27.27/4.49 X1958) => 27.27/4.49 (![X1964]: 27.27/4.49 (in( 27.27/4.49 X1964, 27.27/4.49 X1958) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1964, 27.27/4.49 X1962), 27.27/4.49 breln1invset( 27.27/4.49 X1958, 27.27/4.49 X1960)) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1962, 27.27/4.49 X1964), 27.27/4.49 X1960)))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1966, 27.27/4.49 X1968]: 27.27/4.49 (breln1( 27.27/4.49 X1966, 27.27/4.49 X1968) => 27.27/4.49 (![X1970]: 27.27/4.49 (breln1( 27.27/4.49 X1966, 27.27/4.49 X1970) => 27.27/4.49 breln1( 27.27/4.49 X1966, 27.27/4.49 breln1compset( 27.27/4.49 X1966, 27.27/4.49 X1968, 27.27/4.49 X1970)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1972, 27.27/4.49 X1974]: 27.27/4.49 (breln1( 27.27/4.49 X1972, 27.27/4.49 X1974) => 27.27/4.49 (![X1976]: 27.27/4.49 (breln1( 27.27/4.49 X1972, 27.27/4.49 X1976) => 27.27/4.49 (![X1978]: 27.27/4.49 (in( 27.27/4.49 X1978, 27.27/4.49 X1972) => 27.27/4.49 (![X1980]: 27.27/4.49 (in( 27.27/4.49 X1980, 27.27/4.49 X1972) => 27.27/4.49 (![X1982]: 27.27/4.49 (in( 27.27/4.49 X1982, 27.27/4.49 X1972) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1978, 27.27/4.49 X1982), 27.27/4.49 X1974) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1982, 27.27/4.49 X1980), 27.27/4.49 X1976) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1978, 27.27/4.49 X1980), 27.27/4.49 breln1compset( 27.27/4.49 X1972, 27.27/4.49 X1974, 27.27/4.49 X1976)))))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1984, 27.27/4.49 X1986]: 27.27/4.49 (breln1( 27.27/4.49 X1984, 27.27/4.49 X1986) => 27.27/4.49 (![X1988]: 27.27/4.49 (breln1( 27.27/4.49 X1984, 27.27/4.49 X1988) => 27.27/4.49 (![X1990]: 27.27/4.49 (in( 27.27/4.49 X1990, 27.27/4.49 X1984) => 27.27/4.49 (![X1992]: 27.27/4.49 (in( 27.27/4.49 X1992, 27.27/4.49 X1984) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1990, 27.27/4.49 X1992), 27.27/4.49 breln1compset( 27.27/4.49 X1984, 27.27/4.49 X1986, 27.27/4.49 X1988)) => 27.27/4.49 (?[X1994]: 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X1994, 27.27/4.49 X1992), 27.27/4.49 X1988) & 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X1990, 27.27/4.49 X1994), 27.27/4.49 X1986) & 27.27/4.49 in( 27.27/4.49 X1994, 27.27/4.49 X1984)))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X1996, 27.27/4.49 X1998]: 27.27/4.49 (breln1( 27.27/4.49 X1996, 27.27/4.49 X1998) => 27.27/4.49 (![X2000]: 27.27/4.49 (breln1( 27.27/4.49 X1996, 27.27/4.49 X2000) => 27.27/4.49 (![X2002]: 27.27/4.49 (in( 27.27/4.49 X2002, 27.27/4.49 X1996) => 27.27/4.49 (![X2004]: 27.27/4.49 (in( 27.27/4.49 X2004, 27.27/4.49 X1996) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X2002, 27.27/4.49 X2004), 27.27/4.49 breln1compset( 27.27/4.49 X1996, 27.27/4.49 X1998, 27.27/4.49 X2000)) => 27.27/4.49 (![X2006:$o]: 27.27/4.49 (( 27.27/4.49 ![X2008]: 27.27/4.49 (in( 27.27/4.49 X2008, 27.27/4.49 X1996) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X2002, 27.27/4.49 X2008), 27.27/4.49 X1998) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X2008, 27.27/4.49 X2004), 27.27/4.49 X2000) => 27.27/4.49 X2006)))) => 27.27/4.49 X2006))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X2010, 27.27/4.49 X2012]: 27.27/4.49 (breln1( 27.27/4.49 X2010, 27.27/4.49 X2012) => 27.27/4.49 (![X2014]: 27.27/4.49 (breln1( 27.27/4.49 X2010, 27.27/4.49 X2014) => 27.27/4.49 breln1( 27.27/4.49 X2010, 27.27/4.49 binunion( 27.27/4.49 X2012, 27.27/4.49 X2014)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X2016, 27.27/4.49 X2018]: 27.27/4.49 (breln1( 27.27/4.49 X2016, 27.27/4.49 X2018) => 27.27/4.49 (![X2020]: 27.27/4.49 (breln1( 27.27/4.49 X2016, 27.27/4.49 X2020) => 27.27/4.49 (![X2022]: 27.27/4.49 (in( 27.27/4.49 X2022, 27.27/4.49 X2016) => 27.27/4.49 (![X2024]: 27.27/4.49 (in( 27.27/4.49 X2024, 27.27/4.49 X2016) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X2022, 27.27/4.49 X2024), 27.27/4.49 X2018) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X2022, 27.27/4.49 X2024), 27.27/4.49 binunion( 27.27/4.49 X2018, 27.27/4.49 X2020))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X2026, 27.27/4.49 X2028]: 27.27/4.49 (breln1( 27.27/4.49 X2026, 27.27/4.49 X2028) => 27.27/4.49 (![X2030]: 27.27/4.49 (breln1( 27.27/4.49 X2026, 27.27/4.49 X2030) => 27.27/4.49 (![X2032]: 27.27/4.49 (in( 27.27/4.49 X2032, 27.27/4.49 X2026) => 27.27/4.49 (![X2034]: 27.27/4.49 (in( 27.27/4.49 X2034, 27.27/4.49 X2026) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X2032, 27.27/4.49 X2034), 27.27/4.49 X2030) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X2032, 27.27/4.49 X2034), 27.27/4.49 binunion( 27.27/4.49 X2028, 27.27/4.49 X2030))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X2036, 27.27/4.49 X2038]: 27.27/4.49 (breln1( 27.27/4.49 X2036, 27.27/4.49 X2038) => 27.27/4.49 (![X2040]: 27.27/4.49 (breln1( 27.27/4.49 X2036, 27.27/4.49 X2040) => 27.27/4.49 (![X2042]: 27.27/4.49 (in( 27.27/4.49 X2042, 27.27/4.49 X2036) => 27.27/4.49 (![X2044]: 27.27/4.49 (in( 27.27/4.49 X2044, 27.27/4.49 X2036) => 27.27/4.49 (( 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X2042, 27.27/4.49 X2044), 27.27/4.49 X2038) | 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X2042, 27.27/4.49 X2044), 27.27/4.49 X2040)) => 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X2042, 27.27/4.49 X2044), 27.27/4.49 binunion( 27.27/4.49 X2038, 27.27/4.49 X2040))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X2046, 27.27/4.49 X2048]: 27.27/4.49 (breln1( 27.27/4.49 X2046, 27.27/4.49 X2048) => 27.27/4.49 (![X2050]: 27.27/4.49 (breln1( 27.27/4.49 X2046, 27.27/4.49 X2050) => 27.27/4.49 (![X2052]: 27.27/4.49 (in( 27.27/4.49 X2052, 27.27/4.49 X2046) => 27.27/4.49 (![X2054]: 27.27/4.49 (in( 27.27/4.49 X2054, 27.27/4.49 X2046) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X2052, 27.27/4.49 X2054), 27.27/4.49 binunion( 27.27/4.49 X2048, 27.27/4.49 X2050)) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X2052, 27.27/4.49 X2054), 27.27/4.49 X2048) | 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X2052, 27.27/4.49 X2054), 27.27/4.49 X2050))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X2056, 27.27/4.49 X2058]: 27.27/4.49 (breln1( 27.27/4.49 X2056, 27.27/4.49 X2058) => 27.27/4.49 (![X2060]: 27.27/4.49 (breln1( 27.27/4.49 X2056, 27.27/4.49 X2060) => 27.27/4.49 (![X2062]: 27.27/4.49 (in( 27.27/4.49 X2062, 27.27/4.49 X2056) => 27.27/4.49 (![X2064]: 27.27/4.49 (in( 27.27/4.49 X2064, 27.27/4.49 X2056) => 27.27/4.49 (in( 27.27/4.49 kpair( 27.27/4.49 X2062, 27.27/4.49 X2064), 27.27/4.49 binunion( 27.27/4.49 X2058, 27.27/4.49 X2060)) => 27.27/4.49 (![X2066:$o]: 27.27/4.49 (( 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X2062, 27.27/4.49 X2064), 27.27/4.49 X2058) => 27.27/4.49 X2066) => 27.27/4.49 (( 27.27/4.49 in( 27.27/4.49 kpair( 27.27/4.49 X2062, 27.27/4.49 X2064), 27.27/4.49 X2060) => 27.27/4.49 X2066) => 27.27/4.49 X2066)))))))))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X2068, 27.27/4.49 X2070]: 27.27/4.49 (breln1( 27.27/4.49 X2068, 27.27/4.49 X2070) => 27.27/4.49 (![X2072]: 27.27/4.49 (breln1( 27.27/4.49 X2068, 27.27/4.49 X2072) => 27.27/4.49 (binunion( 27.27/4.49 X2070, 27.27/4.49 X2072) = 27.27/4.49 binunion( 27.27/4.49 X2072, 27.27/4.49 X2070)))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X2074, 27.27/4.49 X2076]: 27.27/4.49 (breln1( 27.27/4.49 X2074, 27.27/4.49 X2076) => 27.27/4.49 (X2076 = 27.27/4.49 breln1invset( 27.27/4.49 X2074, 27.27/4.49 breln1invset( 27.27/4.49 X2074, 27.27/4.49 X2076))))) => 27.27/4.49 ( 27.27/4.49 ( 27.27/4.49 ![X2078, 27.27/4.49 X2080]: 27.27/4.50 (breln1( 27.27/4.50 X2078, 27.27/4.50 X2080) => 27.27/4.50 (![X2082]: 27.27/4.50 (breln1( 27.27/4.50 X2078, 27.27/4.50 X2082) => 27.27/4.50 (breln1invset( 27.27/4.50 X2078, 27.27/4.50 breln1compset( 27.27/4.50 X2078, 27.27/4.50 X2080, 27.27/4.50 X2082)) = 27.27/4.50 breln1compset( 27.27/4.50 X2078, 27.27/4.50 breln1invset( 27.27/4.50 X2078, 27.27/4.50 X2082), 27.27/4.50 breln1invset( 27.27/4.50 X2078, 27.27/4.50 X2080))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X2084, 27.27/4.50 X2086]: 27.27/4.50 (breln1( 27.27/4.50 X2084, 27.27/4.50 X2086) => 27.27/4.50 (![X2088]: 27.27/4.50 (breln1( 27.27/4.50 X2084, 27.27/4.50 X2088) => 27.27/4.50 (![X2090]: 27.27/4.50 (breln1( 27.27/4.50 X2084, 27.27/4.50 X2090) => 27.27/4.50 (breln1compset( 27.27/4.50 X2084, 27.27/4.50 binunion( 27.27/4.50 X2086, 27.27/4.50 X2088), 27.27/4.50 X2090) = 27.27/4.50 binunion( 27.27/4.50 breln1compset( 27.27/4.50 X2084, 27.27/4.50 X2086, 27.27/4.50 X2090), 27.27/4.50 breln1compset( 27.27/4.50 X2084, 27.27/4.50 X2088, 27.27/4.50 X2090))))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X2092, 27.27/4.50 X2094]: 27.27/4.50 (breln1( 27.27/4.50 X2092, 27.27/4.50 X2094) => 27.27/4.50 (![X2096]: 27.27/4.50 (breln1( 27.27/4.50 X2092, 27.27/4.50 X2096) => 27.27/4.50 (![X2098]: 27.27/4.50 (breln1( 27.27/4.50 X2092, 27.27/4.50 X2098) => 27.27/4.50 (breln1compset( 27.27/4.50 X2092, 27.27/4.50 binunion( 27.27/4.50 X2094, 27.27/4.50 X2096), 27.27/4.50 X2098) = 27.27/4.50 binunion( 27.27/4.50 breln1invset( 27.27/4.50 X2092, 27.27/4.50 breln1compset( 27.27/4.50 X2092, 27.27/4.50 breln1invset( 27.27/4.50 X2092, 27.27/4.50 X2098), 27.27/4.50 breln1invset( 27.27/4.50 X2092, 27.27/4.50 X2096))), 27.27/4.50 breln1invset( 27.27/4.50 X2092, 27.27/4.50 breln1compset( 27.27/4.50 X2092, 27.27/4.50 breln1invset( 27.27/4.50 X2092, 27.27/4.50 X2098), 27.27/4.50 breln1invset( 27.27/4.50 X2092, 27.27/4.50 X2094))))))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X2100, 27.27/4.50 X2102:( 27.27/4.50 ( 27.27/4.50 $i > $i))]: 27.27/4.50 (?[X2104]: 27.27/4.50 (![X2106]: 27.27/4.50 (in( 27.27/4.50 X2106, 27.27/4.50 X2104) <=> 27.27/4.50 (?[X2108]: 27.27/4.50 zip_tseitin_6( 27.27/4.50 X2108, 27.27/4.50 X2106, 27.27/4.50 X2102, 27.27/4.50 X2100)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X2110, 27.27/4.50 X2112:( 27.27/4.50 ( 27.27/4.50 $i > $i))]: 27.27/4.50 (?[X2114]: 27.27/4.50 (( 27.27/4.50 ![X2116]: 27.27/4.50 (( 27.27/4.50 ![X2118]: 27.27/4.50 (in( 27.27/4.50 X2118, 27.27/4.50 X2116) <=> 27.27/4.50 (?[X2120]: 27.27/4.50 zip_tseitin_6( 27.27/4.50 X2120, 27.27/4.50 X2118, 27.27/4.50 X2112, 27.27/4.50 X2110)))) => 27.27/4.50 (X2114 = 27.27/4.50 X2116))) & 27.27/4.50 (![X2122]: 27.27/4.50 (in( 27.27/4.50 X2122, 27.27/4.50 X2114) <=> 27.27/4.50 (?[X2124]: 27.27/4.50 zip_tseitin_6( 27.27/4.50 X2124, 27.27/4.50 X2122, 27.27/4.50 X2112, 27.27/4.50 X2110))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X2126, 27.27/4.50 X2128:( 27.27/4.50 ( 27.27/4.50 $i > $i)), 27.27/4.50 X2130]: 27.27/4.50 (in( 27.27/4.50 X2130, 27.27/4.50 image1( 27.27/4.50 X2126, 27.27/4.50 ^[V_56]: 27.27/4.50 X2128( 27.27/4.50 V_56))) <=> 27.27/4.50 (?[X2132]: 27.27/4.50 zip_tseitin_6( 27.27/4.50 X2132, 27.27/4.50 X2130, 27.27/4.50 X2128, 27.27/4.50 X2126)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X2134, 27.27/4.50 X2136:( 27.27/4.50 ( 27.27/4.50 $i > $i)), 27.27/4.50 X2138]: 27.27/4.50 (in( 27.27/4.50 X2138, 27.27/4.50 image1( 27.27/4.50 X2134, 27.27/4.50 ^[V_57]: 27.27/4.50 X2136( 27.27/4.50 V_57))) => 27.27/4.50 (?[X2140]: 27.27/4.50 (( 27.27/4.50 X2138 = 27.27/4.50 X2136( 27.27/4.50 X2140)) & 27.27/4.50 in( 27.27/4.50 X2140, 27.27/4.50 X2134))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X2142, 27.27/4.50 X2144:( 27.27/4.50 ( 27.27/4.50 $i > $i)), 27.27/4.50 X2146]: 27.27/4.50 (( 27.27/4.50 ?[X2148]: 27.27/4.50 (( 27.27/4.50 X2146 = 27.27/4.50 X2144( 27.27/4.50 X2148)) & 27.27/4.50 in( 27.27/4.50 X2148, 27.27/4.50 X2142))) => 27.27/4.50 in( 27.27/4.50 X2146, 27.27/4.50 image1( 27.27/4.50 X2142, 27.27/4.50 ^[V_58]: 27.27/4.50 X2144( 27.27/4.50 V_58))))) => 27.27/4.50 ( 27.27/4.50 ![X2150, 27.27/4.50 X2152, 27.27/4.50 X2154]: 27.27/4.50 (in( 27.27/4.50 X2154, 27.27/4.50 funcSet( 27.27/4.50 X2150, 27.27/4.50 X2152)) => 27.27/4.50 (injective( 27.27/4.50 X2150, 27.27/4.50 X2152, 27.27/4.50 X2154) => 27.27/4.50 in( 27.27/4.50 X2154, 27.27/4.50 dsetconstr( 27.27/4.50 funcSet( 27.27/4.50 X2150, 27.27/4.50 X2152), 27.27/4.50 ^[V_59]: 27.27/4.50 injective( 27.27/4.50 X2150, 27.27/4.50 X2152, 27.27/4.50 V_59))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 27.27/4.50 tff(zf_stmt_16, negated_conjecture, 27.27/4.50 (~ 27.27/4.50 ((![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))) => 27.27/4.50 ((![X10]: (~in(X10,emptyset))) => 27.27/4.50 ((![X12,X14,X16]: 27.27/4.50 (in(X16,setadjoin(X12,X14)) <=> zip_tseitin_0(X16,X14,X12))) => 27.27/4.50 ((![X18,X20]: 27.27/4.50 (in(X20,powerset(X18)) <=> (![X22]: zip_tseitin_1(X22,X20,X18)))) => 27.27/4.50 ((![X24,X26]: 27.27/4.50 (in(X26,setunion(X24)) <=> (?[X28]: zip_tseitin_2(X28,X26,X24)))) => 27.27/4.50 (in(emptyset,omega) => 27.27/4.50 ((![X30]: (in(X30,omega) => in(setadjoin(X30,X30),omega))) => 27.27/4.50 ((![X32]: 27.27/4.50 ((in(emptyset,X32) & 27.27/4.50 (![X34]: 27.27/4.50 ((in(X34,omega) & in(X34,X32)) => 27.27/4.50 in(setadjoin(X34,X34),X32)))) => 27.27/4.50 (![X36]: (in(X36,omega) => in(X36,X32))))) => 27.27/4.50 ((![X38:(($i * $i) > $o),X40]: 27.27/4.50 ((![X42]: 27.27/4.50 (in(X42,X40) => 27.27/4.50 (?[X44]: 27.27/4.50 ((![X46]: (X38(X42,X46) => (X44 = X46))) & 27.27/4.50 X38(X42,X44))))) => 27.27/4.50 (?[X48]: 27.27/4.50 (![X50]: 27.27/4.50 (in(X50,X48) <=> 27.27/4.50 (?[X52]: zip_tseitin_3(X52,X50,X40,X38))))))) => 27.27/4.50 ((![X54]: 27.27/4.50 ((?[X56]: in(X56,X54)) => 27.27/4.50 (?[X58]: 27.27/4.50 ((~(?[X60]: (in(X60,X54) & in(X60,X58)))) & in(X58,X54))))) => 27.27/4.50 ((![X62]: 27.27/4.50 (?[X64]: 27.27/4.50 ((![X66]: 27.27/4.50 (((![X68]: (in(X68,X66) => in(X68,X62))) & 27.27/4.50 (?[X70]: in(X70,X66))) => 27.27/4.50 (?[X72,X74]: 27.27/4.50 ((![X76]: 27.27/4.50 (in(X76,X64) => 27.27/4.50 ((![X78]: (in(X78,X76) => in(X78,X72))) | 27.27/4.50 in(X74,X76)))) & 27.27/4.50 (~(?[X80]: (in(X80,X66) & in(X80,X72)))) & 27.27/4.50 in(X74,X66) & in(X72,X64))))) & 27.27/4.50 (![X82,X84]: 27.27/4.50 ((in(X82,X64) & in(X84,X64)) => 27.27/4.50 ((![X86]: (in(X86,X82) => in(X86,X84))) | 27.27/4.50 (![X88]: (in(X88,X84) => in(X88,X82)))))) & 27.27/4.50 (![X90,X92]: 27.27/4.50 ((in(X90,X62) & in(X92,X62)) => 27.27/4.50 ((![X94]: 27.27/4.50 (in(X94,X64) => (in(X90,X94) <=> in(X92,X94)))) => 27.27/4.50 (X90 = X92)))) & 27.27/4.50 (![X96]: 27.27/4.50 (in(X96,X64) => 27.27/4.50 (![X98]: (in(X98,X96) => in(X98,X62)))))))) => 27.27/4.50 ((![X100:(($i > $o))]: 27.27/4.50 ((?[X102]: 27.27/4.50 ((![X104]: (X100(X104) => (X102 = X104))) & X100(X102))) => 27.27/4.50 X100(descr(^[V_1]: X100(V_1))))) => 27.27/4.50 ((![X106,X108:(($i > $o)),X110]: 27.27/4.50 (in(X110,X106) => 27.27/4.50 (X108(X110) => 27.27/4.50 in(X110,dsetconstr(X106,^[V_2]: X108(V_2)))))) => 27.27/4.50 ((![X112,X114:(($i > $o)),X116]: 27.27/4.50 (in(X116,dsetconstr(X112,^[V_3]: X114(V_3))) => 27.27/4.50 in(X116,X112))) => 27.27/4.50 ((![X118,X120:(($i > $o)),X122]: 27.27/4.50 (in(X122,dsetconstr(X118,^[V_4]: X120(V_4))) => 27.27/4.50 X120(X122))) => 27.27/4.50 ((![X124:(($i > $o))]: 27.27/4.50 ((?[X126]: 27.27/4.50 ((![X128]: (X124(X128) => (X126 = X128))) & 27.27/4.50 X124(X126))) => 27.27/4.50 (?[X130]: 27.27/4.50 ((![X132]: (X124(X132) => (X130 = X132))) & 27.27/4.50 X124(X130))))) => 27.27/4.50 ((![X134:$o,X136]: (in(X136,prop2set(X134)) => X134)) => 27.27/4.50 ((![X138]: (in(X138,emptyset) => (![X140:$o]: X140))) => 27.27/4.50 ((![X142]: (~in(X142,emptyset))) => 27.27/4.50 ((![X144]: (~in(X144,emptyset))) => 27.27/4.50 ((![X146:(($i > $o))]: 27.27/4.50 ((?[X148]: 27.27/4.50 ((![X150]: (X146(X150) => (X148 = X150))) & 27.27/4.50 X146(X148))) => 27.27/4.50 (?[X152]: X146(X152)))) => 27.27/4.50 ((![X154,X156]: 27.27/4.50 ((![X158]: (in(X158,X154) => in(X158,X156))) => 27.27/4.50 ((![X160]: (in(X160,X156) => in(X160,X154))) => 27.27/4.50 (X154 = X156)))) => 27.27/4.50 ((![X162]: 27.27/4.50 ((![X164]: (~in(X164,X162))) => 27.27/4.50 (X162 = emptyset))) => 27.27/4.50 ((![X166]: 27.27/4.50 ((![X168]: (~in(X168,X166))) => 27.27/4.50 (X166 = emptyset))) => 27.27/4.50 ((![X170,X172:(($i > $o)),X174]: 27.27/4.50 (in(X174,X170) => 27.27/4.50 (in(X174,dsetconstr(X170,^[V_5]: X172(V_5))) <=> 27.27/4.50 X172(X174)))) => 27.27/4.50 ((![X176]: 27.27/4.50 ((X176 != emptyset) => 27.27/4.50 (?[X178]: in(X178,X176)))) => 27.27/4.50 ((![X180,X182:(($i > $o)),X184]: 27.27/4.50 (in(X184,X180) => 27.27/4.50 (X182(X184) => 27.27/4.50 (dsetconstr(X180,^[V_6]: X182(V_6)) != 27.27/4.50 emptyset)))) => 27.27/4.50 ((![X186]: 27.27/4.50 ((?[X188]: in(X188,X186)) => 27.27/4.50 (X186 != emptyset))) => 27.27/4.50 ((![X190,X192]: in(X190,setadjoin(X190,X192))) => 27.27/4.50 (in(emptyset,setadjoin(emptyset,emptyset)) => 27.27/4.50 ((![X194,X196,X198]: 27.27/4.50 (in(X198,X196) => 27.27/4.50 in(X198,setadjoin(X194,X196)))) => 27.27/4.50 ((![X200,X202,X204]: 27.27/4.50 (in(X204,setadjoin(X200,X202)) => 27.27/4.50 (![X206:$o]: 27.27/4.50 (((X204 = X200) => X206) => 27.27/4.50 ((in(X204,X202) => X206) => X206))))) => 27.27/4.50 ((![X208,X210,X212]: 27.27/4.50 (in(X212,setadjoin(X208,X210)) => 27.27/4.50 ((X212 = X208) | in(X212,X210)))) => 27.27/4.50 ((![X214]: 27.27/4.50 (dsetconstr(X214,^[V_7]: $true) = 27.27/4.50 X214)) => 27.27/4.50 ((![X216,X218]: 27.27/4.50 ((![X220]: 27.27/4.50 (in(X220,X218) => in(X220,X216))) => 27.27/4.50 in(X218,powerset(X216)))) => 27.27/4.50 ((![X222]: in(emptyset,powerset(X222))) => 27.27/4.50 ((![X224]: 27.27/4.50 in(emptyset,powerset(X224))) => 27.27/4.50 ((![X226,X228,X230]: 27.27/4.50 (in(X228,powerset(X226)) => 27.27/4.50 (in(X230,X228) => in(X230,X226)))) => 27.27/4.50 ((![X232,X234,X236]: 27.27/4.50 (in(X234,X236) => 27.27/4.50 (in(X236,X232) => 27.27/4.50 in(X234,setunion(X232))))) => 27.27/4.50 ((![X238,X240]: 27.27/4.50 (in(X240,setunion(X238)) => 27.27/4.50 (![X242:$o]: 27.27/4.50 ((![X244]: 27.27/4.50 (in(X240,X244) => 27.27/4.50 (in(X244,X238) => 27.27/4.50 X242))) => 27.27/4.50 X242)))) => 27.27/4.50 ((![X246,X248]: 27.27/4.50 (in(X248,X246) => 27.27/4.50 in(X248, 27.27/4.50 powerset(setunion(X246))))) => 27.27/4.50 ((![X250:(($i > $o))]: 27.27/4.50 ((?[X252]: 27.27/4.50 ((![X254]: 27.27/4.50 (X250(X254) => 27.27/4.50 (X252 = X254))) & 27.27/4.50 X250(X252))) => 27.27/4.50 (?[X256]: 27.27/4.50 (![X258]: 27.27/4.50 (X250(X258) <=> 27.27/4.50 (X258 = X256)))))) => 27.27/4.50 ((![X260]: 27.27/4.50 ((X260 != emptyset) => 27.27/4.50 (?[X262]: in(X262,X260)))) => 27.27/4.50 ((![X264,X266]: 27.27/4.50 (in(X264, 27.27/4.50 setadjoin(X266, 27.27/4.50 emptyset)) => 27.27/4.50 (X264 = X266))) => 27.27/4.50 ((![X268,X270]: 27.27/4.50 ((X268 != X270) => 27.27/4.50 (~ 27.27/4.50 in(X270, 27.27/4.50 setadjoin(X268, 27.27/4.50 emptyset))))) => 27.27/4.50 ((![X272,X274]: 27.27/4.50 ((X272 = X274) => 27.27/4.50 in(X272, 27.27/4.50 setadjoin(X274, 27.27/4.50 emptyset)))) => 27.27/4.50 ((![X276,X278]: 27.27/4.50 (in(X276, 27.27/4.50 setadjoin(X278, 27.27/4.50 emptyset)) => 27.27/4.50 in(X278, 27.27/4.50 setadjoin(X276, 27.27/4.50 emptyset)))) => 27.27/4.50 ((![X280,X282,X284]: 27.27/4.50 (in(X284, 27.27/4.50 setadjoin( 27.27/4.50 X280, 27.27/4.50 setadjoin( 27.27/4.50 X282,emptyset))) => 27.27/4.50 ((X284 = X280) | 27.27/4.50 (X284 = X282)))) => 27.27/4.50 ((![X286,X288]: 27.27/4.50 in(X286, 27.27/4.50 setadjoin( 27.27/4.50 X286, 27.27/4.50 setadjoin( 27.27/4.50 X288,emptyset)))) => 27.27/4.50 ((![X290,X292]: 27.27/4.50 in(X292, 27.27/4.50 setadjoin( 27.27/4.50 X290, 27.27/4.50 setadjoin( 27.27/4.50 X292,emptyset)))) => 27.27/4.50 ((![X294, 27.27/4.50 X296:(($i > $o))]: 27.27/4.50 ((?[X298]: 27.27/4.50 (X296(X298) & 27.27/4.50 in(X298,X294))) => 27.27/4.50 (dsetconstr( 27.27/4.50 X294, 27.27/4.50 ^[V_8]: X296(V_8)) != 27.27/4.50 emptyset))) => 27.27/4.50 ((![X300:(($i > $o)), 27.27/4.50 X302]: 27.27/4.50 (in(X302,emptyset) => 27.27/4.50 X300(X302))) => 27.27/4.50 ((![X304, 27.27/4.50 X306:(($i > $o))]: 27.27/4.50 ((~ 27.27/4.50 (![X308]: 27.27/4.50 (in( 27.27/4.50 X308,X304) => 27.27/4.50 X306(X308)))) => 27.27/4.50 (?[X310]: 27.27/4.50 ((~X306(X310)) & 27.27/4.50 in(X310,X304))))) => 27.27/4.50 ((![X312, 27.27/4.50 X314:(($i > $o))]: 27.27/4.50 ((![X316]: 27.27/4.50 (in( 27.27/4.50 X316,X312) => 27.27/4.50 (~ 27.27/4.50 X314( 27.27/4.50 X316)))) => 27.27/4.50 (~ 27.27/4.50 (?[X318]: 27.27/4.50 (X314( 27.27/4.50 X318) & 27.27/4.50 in( 27.27/4.50 X318,X312)))))) => 27.27/4.50 ((![X320, 27.27/4.50 X322:(($i > $o))]: 27.27/4.50 ((~ 27.27/4.50 (?[X324]: 27.27/4.50 ( 27.27/4.50 X322( 27.27/4.50 X324) & 27.27/4.50 in( 27.27/4.50 X324,X320)))) => 27.27/4.50 (![X326]: 27.27/4.50 (in( 27.27/4.50 X326,X320) => 27.27/4.50 (~ 27.27/4.50 X322( 27.27/4.50 X326)))))) => 27.27/4.50 ((![X328, 27.27/4.50 X330:( 27.27/4.50 ($i > $o))]: 27.27/4.50 ((?[X332]: 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 X330( 27.27/4.50 X332)) & 27.27/4.50 in( 27.27/4.50 X332,X328))) => 27.27/4.50 (~ 27.27/4.50 (![X334]: 27.27/4.50 (in( 27.27/4.50 X334,X328) => 27.27/4.50 X330( 27.27/4.50 X334)))))) => 27.27/4.50 ((![X336:$o]: 27.27/4.50 (X336 => 27.27/4.50 in(emptyset, 27.27/4.50 prop2set( 27.27/4.50 X336)))) => 27.27/4.50 ((![X338:$o]: 27.27/4.50 (X338 => 27.27/4.50 set2prop( 27.27/4.50 prop2set( 27.27/4.50 X338)))) => 27.27/4.50 ((![X340, 27.27/4.50 X342:( 27.27/4.50 ($i > $o))]: 27.27/4.50 ((~ 27.27/4.50 ( 27.27/4.50 ?[X344]: 27.27/4.50 (X342( 27.27/4.50 X344) & 27.27/4.50 in( 27.27/4.50 X344,X340)))) => 27.27/4.50 (![X346]: 27.27/4.50 (in( 27.27/4.50 X346,X340) => 27.27/4.50 (~ 27.27/4.50 X342( 27.27/4.50 X346)))))) => 27.27/4.50 ((![X348, 27.27/4.50 X350:( 27.27/4.50 ($i > $o))]: 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 ( 27.27/4.50 ![X352]: 27.27/4.50 (in( 27.27/4.50 X352,X348) => 27.27/4.50 X350( 27.27/4.50 X352)))) => 27.27/4.50 ( 27.27/4.50 ?[X354]: 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 X350( 27.27/4.50 X354)) & 27.27/4.50 in( 27.27/4.50 X354,X348))))) => 27.27/4.50 ((![X356:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ?[X358]: 27.27/4.50 (( 27.27/4.50 ![X360]: 27.27/4.50 (X356( 27.27/4.50 X360) => 27.27/4.50 (X358 = 27.27/4.50 X360))) & 27.27/4.50 X356( 27.27/4.50 X358))) => 27.27/4.50 ( 27.27/4.50 ?[X362]: 27.27/4.50 (( 27.27/4.50 ![X364]: 27.27/4.50 (X356( 27.27/4.50 X364) => 27.27/4.50 (X362 = 27.27/4.50 X364))) & 27.27/4.50 X356( 27.27/4.50 X362))))) => 27.27/4.50 ((![X366:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (( 27.27/4.50 ?[X368]: 27.27/4.50 X366( 27.27/4.50 X368)) => 27.27/4.50 (( 27.27/4.50 ![X370, 27.27/4.50 X372]: 27.27/4.50 (X366( 27.27/4.50 X370) => 27.27/4.50 (X366( 27.27/4.50 X372) => 27.27/4.50 (X370 = 27.27/4.50 X372)))) => 27.27/4.50 (?[X374]: 27.27/4.50 (( 27.27/4.50 ![X376]: 27.27/4.50 (X366( 27.27/4.50 X376) => 27.27/4.50 (X374 = 27.27/4.50 X376))) & 27.27/4.50 X366( 27.27/4.50 X374)))))) => 27.27/4.50 ((![X378:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (( 27.27/4.50 ?[X380]: 27.27/4.50 (![X382]: 27.27/4.50 (X378( 27.27/4.50 X382) <=> 27.27/4.50 (X382 = 27.27/4.50 X380)))) => 27.27/4.50 (?[X384]: 27.27/4.50 (( 27.27/4.50 ![X386]: 27.27/4.50 (X378( 27.27/4.50 X386) => 27.27/4.50 (X384 = 27.27/4.50 X386))) & 27.27/4.50 X378( 27.27/4.50 X384))))) => 27.27/4.50 (( 27.27/4.50 ![X388, 27.27/4.50 X390]: 27.27/4.50 (( 27.27/4.50 X388 = 27.27/4.50 X390) => 27.27/4.50 (![X392, 27.27/4.50 X394]: 27.27/4.50 (( 27.27/4.50 X392 = 27.27/4.50 X394) => 27.27/4.50 (in( 27.27/4.50 X392,X388) => 27.27/4.50 in( 27.27/4.50 X394,X390)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X396, 27.27/4.50 X398]: 27.27/4.50 (( 27.27/4.50 X396 = 27.27/4.50 X398) => 27.27/4.50 (![X400, 27.27/4.50 X402]: 27.27/4.50 (( 27.27/4.50 X400 = 27.27/4.50 X402) => 27.27/4.50 (in( 27.27/4.50 X400,X396) <=> 27.27/4.50 in( 27.27/4.50 X402,X398)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X404:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (( 27.27/4.50 ?[X406]: 27.27/4.50 (( 27.27/4.50 ![X408]: 27.27/4.50 (X404( 27.27/4.50 X408) => 27.27/4.50 (X406 = 27.27/4.50 X408))) & 27.27/4.50 X404( 27.27/4.50 X406))) => 27.27/4.50 (![X410, 27.27/4.50 X412]: 27.27/4.50 (X404( 27.27/4.50 X410) => 27.27/4.50 (X404( 27.27/4.50 X412) => 27.27/4.50 (X410 = 27.27/4.50 X412)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X414:( 27.27/4.50 ( 27.27/4.50 $i > $o)), 27.27/4.50 X416:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (( 27.27/4.50 ![X418, 27.27/4.50 X420]: 27.27/4.50 (( 27.27/4.50 X418 = 27.27/4.50 X420) => 27.27/4.50 (X414( 27.27/4.50 X418) <=> 27.27/4.50 X416( 27.27/4.50 X420)))) => 27.27/4.50 (( 27.27/4.50 ?[X422]: 27.27/4.50 zip_tseitin_5( 27.27/4.50 X422,X414)) <=> 27.27/4.50 (?[X426]: 27.27/4.50 zip_tseitin_5( 27.27/4.50 X426,X416))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 emptyset = 27.27/4.50 emptyset) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X430, 27.27/4.50 X432]: 27.27/4.50 (( 27.27/4.50 X430 = 27.27/4.50 X432) => 27.27/4.50 (![X434, 27.27/4.50 X436]: 27.27/4.50 (( 27.27/4.50 X434 = 27.27/4.50 X436) => 27.27/4.50 (setadjoin( 27.27/4.50 X430,X434) = 27.27/4.50 setadjoin( 27.27/4.50 X432,X436)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X438, 27.27/4.50 X440]: 27.27/4.50 (( 27.27/4.50 X438 = 27.27/4.50 X440) => 27.27/4.50 (powerset( 27.27/4.50 X438) = 27.27/4.50 powerset( 27.27/4.50 X440)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X442, 27.27/4.50 X444]: 27.27/4.50 (( 27.27/4.50 X442 = 27.27/4.50 X444) => 27.27/4.50 (setunion( 27.27/4.50 X442) = 27.27/4.50 setunion( 27.27/4.50 X444)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 omega = 27.27/4.50 omega) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X446:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (( 27.27/4.50 ?[X448]: 27.27/4.50 (( 27.27/4.50 ![X450]: 27.27/4.50 (X446( 27.27/4.50 X450) => 27.27/4.50 (X448 = 27.27/4.50 X450))) & 27.27/4.50 X446( 27.27/4.50 X448))) => 27.27/4.50 (![X452, 27.27/4.50 X454]: 27.27/4.50 (X446( 27.27/4.50 X452) => 27.27/4.50 (X446( 27.27/4.50 X454) => 27.27/4.50 (X452 = 27.27/4.50 X454)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X456:( 27.27/4.50 ( 27.27/4.50 $i > $o)), 27.27/4.50 X458:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (( 27.27/4.50 ![X460, 27.27/4.50 X462]: 27.27/4.50 (( 27.27/4.50 X460 = 27.27/4.50 X462) => 27.27/4.50 (X456( 27.27/4.50 X460) <=> 27.27/4.50 X458( 27.27/4.50 X462)))) => 27.27/4.50 (( 27.27/4.50 ?[X464]: 27.27/4.50 (( 27.27/4.50 ![X466]: 27.27/4.50 (X456( 27.27/4.50 X466) => 27.27/4.50 (X464 = 27.27/4.50 X466))) & 27.27/4.50 X456( 27.27/4.50 X464))) => 27.27/4.50 (( 27.27/4.50 ?[X468]: 27.27/4.50 (( 27.27/4.50 ![X470]: 27.27/4.50 (X458( 27.27/4.50 X470) => 27.27/4.50 (X468 = 27.27/4.50 X470))) & 27.27/4.50 X458( 27.27/4.50 X468))) => 27.27/4.50 (descr( 27.27/4.50 ^[V_9]: 27.27/4.50 X456(V_9)) = 27.27/4.50 descr( 27.27/4.50 ^[V_10]: 27.27/4.50 X458( 27.27/4.50 V_10))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X472, 27.27/4.50 X474]: 27.27/4.50 (( 27.27/4.50 X472 = 27.27/4.50 X474) => 27.27/4.50 (![X476:( 27.27/4.50 ( 27.27/4.50 $i > $o)), 27.27/4.50 X478:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (( 27.27/4.50 ![X480]: 27.27/4.50 (in( 27.27/4.50 X480,X472) => 27.27/4.50 (![X482]: 27.27/4.50 (in( 27.27/4.50 X482,X474) => 27.27/4.50 (( 27.27/4.50 X480 = 27.27/4.50 X482) => 27.27/4.50 (X476( 27.27/4.50 X480) <=> 27.27/4.50 X478( 27.27/4.50 X482))))))) => 27.27/4.50 (dsetconstr( 27.27/4.50 X472, 27.27/4.50 ^[V_11]: 27.27/4.50 X476( 27.27/4.50 V_11)) = 27.27/4.50 dsetconstr( 27.27/4.50 X474, 27.27/4.50 ^[V_12]: 27.27/4.50 X478( 27.27/4.50 V_12))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X484, 27.27/4.50 X486]: 27.27/4.50 (( 27.27/4.50 ![X488]: 27.27/4.50 (in( 27.27/4.50 X488,X484) => 27.27/4.50 in( 27.27/4.50 X488,X486))) => 27.27/4.50 subset( 27.27/4.50 X484,X486))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X490, 27.27/4.50 X492]: 27.27/4.50 (( 27.27/4.50 X490 = 27.27/4.50 X492) => 27.27/4.50 subset( 27.27/4.50 X492,X490))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X494, 27.27/4.50 X496]: 27.27/4.50 (( 27.27/4.50 X494 = 27.27/4.50 X496) => 27.27/4.50 subset( 27.27/4.50 X494,X496))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X498, 27.27/4.50 X500]: 27.27/4.50 (( 27.27/4.50 ![X502]: 27.27/4.50 (in( 27.27/4.50 X502,X498) => 27.27/4.50 in( 27.27/4.50 X502,X500))) => 27.27/4.50 subset( 27.27/4.50 X498,X500))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X504]: 27.27/4.50 subset( 27.27/4.50 emptyset, 27.27/4.50 X504)) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X506, 27.27/4.50 X508,X510]: 27.27/4.50 (subset( 27.27/4.50 X506,X508) => 27.27/4.50 (in( 27.27/4.50 X510,X506) => 27.27/4.50 in( 27.27/4.50 X510,X508)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X512, 27.27/4.50 X514,X516]: 27.27/4.50 (subset( 27.27/4.50 X512,X514) => 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X516,X514)) => 27.27/4.50 (~ 27.27/4.50 in( 27.27/4.50 X516,X512))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X518, 27.27/4.50 X520,X522]: 27.27/4.50 (in( 27.27/4.50 X522,X518) => 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X522,X520)) => 27.27/4.50 (~ 27.27/4.50 subset( 27.27/4.50 X518,X520))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X524, 27.27/4.50 X526]: 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 subset( 27.27/4.50 X524,X526)) => 27.27/4.50 (X524 != 27.27/4.50 X526))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X528, 27.27/4.50 X530,X532]: 27.27/4.50 (in( 27.27/4.50 X532,X528) => 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X532,X530)) => 27.27/4.50 (X528 != 27.27/4.50 X530)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X534]: 27.27/4.50 subset( 27.27/4.50 X534,X534)) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X536, 27.27/4.50 X538,X540]: 27.27/4.50 (subset( 27.27/4.50 X536,X538) => 27.27/4.50 (subset( 27.27/4.50 X538,X540) => 27.27/4.50 subset( 27.27/4.50 X536,X540)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X542, 27.27/4.50 X544]: 27.27/4.50 subset( 27.27/4.50 X544, 27.27/4.50 setadjoin( 27.27/4.50 X542,X544))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X546, 27.27/4.50 X548,X550]: 27.27/4.50 (subset( 27.27/4.50 X546,X550) => 27.27/4.50 subset( 27.27/4.50 X546, 27.27/4.50 setadjoin( 27.27/4.50 X548,X550)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X552, 27.27/4.50 X554]: 27.27/4.50 (subset( 27.27/4.50 X552,X554) => 27.27/4.50 in( 27.27/4.50 X552, 27.27/4.50 powerset( 27.27/4.50 X554)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X556, 27.27/4.50 X558]: 27.27/4.50 (subset( 27.27/4.50 X556,X558) => 27.27/4.50 (subset( 27.27/4.50 X558,X556) => 27.27/4.50 (X556 = 27.27/4.50 X558)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X560]: 27.27/4.50 (subset( 27.27/4.50 X560, 27.27/4.50 emptyset) => 27.27/4.50 (X560 = 27.27/4.50 emptyset))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X562, 27.27/4.50 X564]: 27.27/4.50 (subset( 27.27/4.50 X564,X562) => 27.27/4.50 in( 27.27/4.50 X564, 27.27/4.50 powerset( 27.27/4.50 X562)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X566, 27.27/4.50 X568]: 27.27/4.50 (in( 27.27/4.50 X568, 27.27/4.50 powerset( 27.27/4.50 X566)) => 27.27/4.50 subset( 27.27/4.50 X568,X566))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X570]: 27.27/4.50 in( 27.27/4.50 X570, 27.27/4.50 powerset( 27.27/4.50 X570))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X572, 27.27/4.50 X574]: 27.27/4.50 (subset( 27.27/4.50 X572,X574) => 27.27/4.50 subset( 27.27/4.50 powerset( 27.27/4.50 X572), 27.27/4.50 powerset( 27.27/4.50 X574)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X576, 27.27/4.50 X578:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 in( 27.27/4.50 dsetconstr( 27.27/4.50 X576, 27.27/4.50 ^[V_13]: 27.27/4.50 X578( 27.27/4.50 V_13)), 27.27/4.50 powerset( 27.27/4.50 X576))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X580, 27.27/4.50 X582:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 subset( 27.27/4.50 dsetconstr( 27.27/4.50 X580, 27.27/4.50 ^[V_14]: 27.27/4.50 X582( 27.27/4.50 V_14)), 27.27/4.50 X580)) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X584, 27.27/4.50 X586,X588]: 27.27/4.50 (in( 27.27/4.50 X588,X584) => 27.27/4.50 in( 27.27/4.50 X588, 27.27/4.50 binunion( 27.27/4.50 X584,X586)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X590, 27.27/4.50 X592]: 27.27/4.50 in( 27.27/4.50 X592, 27.27/4.50 setadjoin( 27.27/4.50 X590, 27.27/4.50 setadjoin( 27.27/4.50 X592, 27.27/4.50 emptyset)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X594, 27.27/4.50 X596,X598]: 27.27/4.50 (in( 27.27/4.50 X598,X596) => 27.27/4.50 in( 27.27/4.50 X598, 27.27/4.50 binunion( 27.27/4.50 X594,X596)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X600, 27.27/4.50 X602, 27.27/4.50 X604, 27.27/4.50 X606:$o]: 27.27/4.50 (in( 27.27/4.50 X604, 27.27/4.50 binunion( 27.27/4.50 X600,X602)) => 27.27/4.50 (( 27.27/4.50 in( 27.27/4.50 X604,X600) => 27.27/4.50 X606) => 27.27/4.50 (( 27.27/4.50 in( 27.27/4.50 X604,X602) => 27.27/4.50 X606) => 27.27/4.50 X606)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X608, 27.27/4.50 X610,X612]: 27.27/4.50 (in( 27.27/4.50 X612, 27.27/4.50 binunion( 27.27/4.50 X608,X610)) => 27.27/4.50 (in( 27.27/4.50 X612,X608) | 27.27/4.50 in( 27.27/4.50 X612,X610)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X614, 27.27/4.50 X616]: 27.27/4.50 subset( 27.27/4.50 X614, 27.27/4.50 binunion( 27.27/4.50 X614,X616))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X618, 27.27/4.50 X620]: 27.27/4.50 subset( 27.27/4.50 X620, 27.27/4.50 binunion( 27.27/4.50 X618,X620))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X622, 27.27/4.50 X624,X626]: 27.27/4.50 (in( 27.27/4.50 X626,X622) => 27.27/4.50 (in( 27.27/4.50 X626,X624) => 27.27/4.50 in( 27.27/4.50 X626, 27.27/4.50 binintersect( 27.27/4.50 X622,X624))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X628, 27.27/4.50 X630,X632]: 27.27/4.50 (subset( 27.27/4.50 X632,X628) => 27.27/4.50 (subset( 27.27/4.50 X632,X630) => 27.27/4.50 subset( 27.27/4.50 X632, 27.27/4.50 binintersect( 27.27/4.50 X628,X630))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X634, 27.27/4.50 X636,X638]: 27.27/4.50 (in( 27.27/4.50 X638, 27.27/4.50 binintersect( 27.27/4.50 X634,X636)) => 27.27/4.50 in( 27.27/4.50 X638,X634))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X640, 27.27/4.50 X642]: 27.27/4.50 subset( 27.27/4.50 binintersect( 27.27/4.50 X640,X642), 27.27/4.50 X640)) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X644, 27.27/4.50 X646]: 27.27/4.50 (subset( 27.27/4.50 X644,X646) => 27.27/4.50 (binintersect( 27.27/4.50 X644,X646) = 27.27/4.50 X644))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X648, 27.27/4.50 X650]: 27.27/4.50 (( 27.27/4.50 binintersect( 27.27/4.50 X648,X650) = 27.27/4.50 X650) => 27.27/4.50 subset( 27.27/4.50 X650,X648))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X652, 27.27/4.50 X654,X656]: 27.27/4.50 (in( 27.27/4.50 X656, 27.27/4.50 binintersect( 27.27/4.50 X652,X654)) => 27.27/4.50 in( 27.27/4.50 X656,X654))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X658, 27.27/4.50 X660]: 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 ( 27.27/4.50 ?[X662]: 27.27/4.50 (in( 27.27/4.50 X662,X660) & 27.27/4.50 in( 27.27/4.50 X662,X658)))) => 27.27/4.50 (binintersect( 27.27/4.50 X658,X660) = 27.27/4.50 emptyset))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X664, 27.27/4.50 X666]: 27.27/4.50 subset( 27.27/4.50 binintersect( 27.27/4.50 X664,X666), 27.27/4.50 X666)) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X668, 27.27/4.50 X670]: 27.27/4.50 (subset( 27.27/4.50 X670,X668) => 27.27/4.50 (binintersect( 27.27/4.50 X668,X670) = 27.27/4.50 X670))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X672, 27.27/4.50 X674]: 27.27/4.50 (( 27.27/4.50 binintersect( 27.27/4.50 X672,X674) = 27.27/4.50 X672) => 27.27/4.50 subset( 27.27/4.50 X672,X674))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X676, 27.27/4.50 X678,X680]: 27.27/4.50 (binintersect( 27.27/4.50 X676, 27.27/4.50 binunion( 27.27/4.50 X678,X680)) = 27.27/4.50 binunion( 27.27/4.50 binintersect( 27.27/4.50 X676,X678), 27.27/4.50 binintersect( 27.27/4.50 X676,X680)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X682, 27.27/4.50 X684,X686]: 27.27/4.50 (in( 27.27/4.50 X686,X682) => 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X686,X684)) => 27.27/4.50 in( 27.27/4.50 X686, 27.27/4.50 setminus( 27.27/4.50 X682,X684))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X688, 27.27/4.50 X690,X692]: 27.27/4.50 (in( 27.27/4.50 X692, 27.27/4.50 setminus( 27.27/4.50 X688,X690)) => 27.27/4.50 in( 27.27/4.50 X692,X688))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X694, 27.27/4.50 X696,X698]: 27.27/4.50 (in( 27.27/4.50 X698, 27.27/4.50 setminus( 27.27/4.50 X694,X696)) => 27.27/4.50 (~ 27.27/4.50 in( 27.27/4.50 X698,X696)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X700, 27.27/4.50 X702]: 27.27/4.50 (subset( 27.27/4.50 X700,X702) => 27.27/4.50 (setminus( 27.27/4.50 X700,X702) = 27.27/4.50 emptyset))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X704, 27.27/4.50 X706,X708]: 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X708, 27.27/4.50 setminus( 27.27/4.50 X704,X706))) => 27.27/4.50 (in( 27.27/4.50 X708,X704) => 27.27/4.50 in( 27.27/4.50 X708,X706)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X710, 27.27/4.50 X712,X714]: 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X714, 27.27/4.50 setminus( 27.27/4.50 X710,X712))) => 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X714,X712)) => 27.27/4.50 (~ 27.27/4.50 in( 27.27/4.50 X714,X710))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X716, 27.27/4.50 X718,X720]: 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X720,X716)) => 27.27/4.50 (~ 27.27/4.50 in( 27.27/4.50 X720, 27.27/4.50 setminus( 27.27/4.50 X716,X718))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X722, 27.27/4.50 X724,X726]: 27.27/4.50 (in( 27.27/4.50 X726,X724) => 27.27/4.50 (~ 27.27/4.50 in( 27.27/4.50 X726, 27.27/4.50 setminus( 27.27/4.50 X722,X724))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X728, 27.27/4.50 X730]: 27.27/4.50 subset( 27.27/4.50 setminus( 27.27/4.50 X728,X730), 27.27/4.50 X728)) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X732, 27.27/4.50 X734]: 27.27/4.50 (( 27.27/4.50 setminus( 27.27/4.50 X732,X734) = 27.27/4.50 emptyset) => 27.27/4.50 subset( 27.27/4.50 X732,X734))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X736, 27.27/4.50 X738,X740]: 27.27/4.50 (in( 27.27/4.50 X740, 27.27/4.50 symdiff( 27.27/4.50 X736,X738)) => 27.27/4.50 (![X742:$o]: 27.27/4.50 (( 27.27/4.50 in( 27.27/4.50 X740,X736) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X740,X738)) => 27.27/4.50 X742)) => 27.27/4.50 (( 27.27/4.50 ( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X740,X736)) => 27.27/4.50 ( 27.27/4.50 in( 27.27/4.50 X740,X738) => 27.27/4.50 X742)) => 27.27/4.50 X742))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X744, 27.27/4.50 X746,X748]: 27.27/4.50 (in( 27.27/4.50 X748,X744) => 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X748,X746)) => 27.27/4.50 in( 27.27/4.50 X748, 27.27/4.50 symdiff( 27.27/4.50 X744,X746))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X750, 27.27/4.50 X752,X754]: 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X754,X750)) => 27.27/4.50 (in( 27.27/4.50 X754,X752) => 27.27/4.50 in( 27.27/4.50 X754, 27.27/4.50 symdiff( 27.27/4.50 X750,X752))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X756, 27.27/4.50 X758,X760]: 27.27/4.50 (in( 27.27/4.50 X760,X756) => 27.27/4.50 (in( 27.27/4.50 X760,X758) => 27.27/4.50 (~ 27.27/4.50 in( 27.27/4.50 X760, 27.27/4.50 symdiff( 27.27/4.50 X756,X758)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X762, 27.27/4.50 X764,X766]: 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X766,X762)) => 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X766,X764)) => 27.27/4.50 (~ 27.27/4.50 in( 27.27/4.50 X766, 27.27/4.50 symdiff( 27.27/4.50 X762,X764)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X768, 27.27/4.50 X770]: 27.27/4.50 in( 27.27/4.50 X770, 27.27/4.50 setadjoin( 27.27/4.50 X768, 27.27/4.50 setadjoin( 27.27/4.50 X770, 27.27/4.50 emptyset)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X772, 27.27/4.50 X774]: 27.27/4.50 in( 27.27/4.50 X772, 27.27/4.50 setunion( 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X772, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X772, 27.27/4.50 setadjoin( 27.27/4.50 X774, 27.27/4.50 emptyset)), 27.27/4.50 emptyset))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X776, 27.27/4.50 X778]: 27.27/4.50 in( 27.27/4.50 X778, 27.27/4.50 setunion( 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X776, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X776, 27.27/4.50 setadjoin( 27.27/4.50 X778, 27.27/4.50 emptyset)), 27.27/4.50 emptyset))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X780, 27.27/4.50 X782]: 27.27/4.50 iskpair( 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X780, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X780, 27.27/4.50 setadjoin( 27.27/4.50 X782, 27.27/4.50 emptyset)), 27.27/4.50 emptyset)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X784, 27.27/4.50 X786]: 27.27/4.50 iskpair( 27.27/4.50 kpair( 27.27/4.50 X784,X786))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X788, 27.27/4.50 X790]: 27.27/4.50 (in( 27.27/4.50 X790,X788) => 27.27/4.50 subset( 27.27/4.50 setadjoin( 27.27/4.50 X790, 27.27/4.50 emptyset), 27.27/4.50 X788))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X792, 27.27/4.50 X794]: 27.27/4.50 (in( 27.27/4.50 X794,X792) => 27.27/4.50 in( 27.27/4.50 setadjoin( 27.27/4.50 X794, 27.27/4.50 emptyset), 27.27/4.50 powerset( 27.27/4.50 X792)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X796, 27.27/4.50 X798,X800]: 27.27/4.50 (in( 27.27/4.50 X800,X796) => 27.27/4.50 in( 27.27/4.50 setadjoin( 27.27/4.50 X800, 27.27/4.50 emptyset), 27.27/4.50 powerset( 27.27/4.50 binunion( 27.27/4.50 X796,X798))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X802, 27.27/4.50 X804,X806]: 27.27/4.50 (in( 27.27/4.50 X806, 27.27/4.50 setadjoin( 27.27/4.50 X802, 27.27/4.50 setadjoin( 27.27/4.50 X804, 27.27/4.50 emptyset))) => 27.27/4.50 (( 27.27/4.50 X806 = 27.27/4.50 X802) | 27.27/4.50 (X806 = 27.27/4.50 X804)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X808, 27.27/4.50 X810,X812]: 27.27/4.50 (in( 27.27/4.50 X812,X808) => 27.27/4.50 (![X814]: 27.27/4.50 (in( 27.27/4.50 X814,X810) => 27.27/4.50 subset( 27.27/4.50 setadjoin( 27.27/4.50 X812, 27.27/4.50 setadjoin( 27.27/4.50 X814, 27.27/4.50 emptyset)), 27.27/4.50 binunion( 27.27/4.50 X808,X810)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X816, 27.27/4.50 X818,X820]: 27.27/4.50 (in( 27.27/4.50 X820,X816) => 27.27/4.50 (![X822]: 27.27/4.50 (in( 27.27/4.50 X822,X818) => 27.27/4.50 in( 27.27/4.50 setadjoin( 27.27/4.50 X820, 27.27/4.50 setadjoin( 27.27/4.50 X822, 27.27/4.50 emptyset)), 27.27/4.50 powerset( 27.27/4.50 binunion( 27.27/4.50 X816,X818))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X824, 27.27/4.50 X826,X828]: 27.27/4.50 (in( 27.27/4.50 X828,X824) => 27.27/4.50 (![X830]: 27.27/4.50 (in( 27.27/4.50 X830,X826) => 27.27/4.50 subset( 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X828, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X828, 27.27/4.50 setadjoin( 27.27/4.50 X830, 27.27/4.50 emptyset)), 27.27/4.50 emptyset)), 27.27/4.50 powerset( 27.27/4.50 binunion( 27.27/4.50 X824,X826))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X832, 27.27/4.50 X834,X836]: 27.27/4.50 (in( 27.27/4.50 X836,X832) => 27.27/4.50 (![X838]: 27.27/4.50 (in( 27.27/4.50 X838,X834) => 27.27/4.50 in( 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X836, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X836, 27.27/4.50 setadjoin( 27.27/4.50 X838, 27.27/4.50 emptyset)), 27.27/4.50 emptyset)), 27.27/4.50 powerset( 27.27/4.50 powerset( 27.27/4.50 binunion( 27.27/4.50 X832,X834)))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X840, 27.27/4.50 X842,X844]: 27.27/4.50 (in( 27.27/4.50 X844,X840) => 27.27/4.50 (![X846]: 27.27/4.50 (in( 27.27/4.50 X846,X842) => 27.27/4.50 in( 27.27/4.50 kpair( 27.27/4.50 X844,X846), 27.27/4.50 powerset( 27.27/4.50 powerset( 27.27/4.50 binunion( 27.27/4.50 X840,X842)))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X848, 27.27/4.50 X850,X852]: 27.27/4.50 (in( 27.27/4.50 X852,X848) => 27.27/4.50 (![X854]: 27.27/4.50 (in( 27.27/4.50 X854,X850) => 27.27/4.50 in( 27.27/4.50 kpair( 27.27/4.50 X852,X854), 27.27/4.50 cartprod( 27.27/4.50 X848,X850)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X856, 27.27/4.50 X858,X860]: 27.27/4.50 (in( 27.27/4.50 X860, 27.27/4.50 cartprod( 27.27/4.50 X856,X858)) => 27.27/4.50 (?[X862]: 27.27/4.50 (( 27.27/4.50 ?[X864]: 27.27/4.50 (( 27.27/4.50 X860 = 27.27/4.50 kpair( 27.27/4.50 X862,X864)) & 27.27/4.50 in( 27.27/4.50 X864,X858))) & 27.27/4.50 in( 27.27/4.50 X862,X856))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X866, 27.27/4.50 X868,X870]: 27.27/4.50 (in( 27.27/4.50 X870, 27.27/4.50 cartprod( 27.27/4.50 X866,X868)) => 27.27/4.50 iskpair( 27.27/4.50 X870))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X872, 27.27/4.50 X874]: 27.27/4.50 (in( 27.27/4.50 X874, 27.27/4.50 setunion( 27.27/4.50 X872)) => 27.27/4.50 (?[X876]: 27.27/4.50 (in( 27.27/4.50 X874,X876) & 27.27/4.50 in( 27.27/4.50 X876,X872))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X878]: 27.27/4.50 subset( 27.27/4.50 setunion( 27.27/4.50 setadjoin( 27.27/4.50 X878, 27.27/4.50 emptyset)), 27.27/4.50 X878)) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X880]: 27.27/4.50 subset( 27.27/4.50 X880, 27.27/4.50 setunion( 27.27/4.50 setadjoin( 27.27/4.50 X880, 27.27/4.50 emptyset)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X882]: 27.27/4.50 (setunion( 27.27/4.50 setadjoin( 27.27/4.50 X882, 27.27/4.50 emptyset)) = 27.27/4.50 X882)) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X884, 27.27/4.50 X886:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (( 27.27/4.50 ![X888]: 27.27/4.50 (in( 27.27/4.50 X888,X884) => 27.27/4.50 (![X890]: 27.27/4.50 (in( 27.27/4.50 X890,X884) => 27.27/4.50 (X886( 27.27/4.50 X888) => 27.27/4.50 (X886( 27.27/4.50 X890) => 27.27/4.50 (X888 = 27.27/4.50 X890))))))) => 27.27/4.50 (( 27.27/4.50 ?[X892]: 27.27/4.50 (X886( 27.27/4.50 X892) & 27.27/4.50 in( 27.27/4.50 X892,X884))) => 27.27/4.50 singleton( 27.27/4.50 dsetconstr( 27.27/4.50 X884, 27.27/4.50 ^[V_15]: 27.27/4.50 X886( 27.27/4.50 V_15)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X894, 27.27/4.50 X896:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (ex1( 27.27/4.50 X894, 27.27/4.50 ^[V_16]: 27.27/4.50 X896( 27.27/4.50 V_16)) => 27.27/4.50 (?[X898]: 27.27/4.50 (X896( 27.27/4.50 X898) & 27.27/4.50 in( 27.27/4.50 X898,X894))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X900, 27.27/4.50 X902:( 27.27/4.50 ( 27.27/4.50 $i > $o)), 27.27/4.50 X904]: 27.27/4.50 (in( 27.27/4.50 X904,X900) => 27.27/4.50 (X902( 27.27/4.50 X904) => 27.27/4.50 (( 27.27/4.50 ![X906]: 27.27/4.50 (in( 27.27/4.50 X906,X900) => 27.27/4.50 (X902( 27.27/4.50 X906) => 27.27/4.50 (X906 = 27.27/4.50 X904)))) => 27.27/4.50 ex1( 27.27/4.50 X900, 27.27/4.50 ^[V_17]: 27.27/4.50 X902( 27.27/4.50 V_17)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X908, 27.27/4.50 X910:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (( 27.27/4.50 ![X912]: 27.27/4.50 (in( 27.27/4.50 X912,X908) => 27.27/4.50 (![X914]: 27.27/4.50 (in( 27.27/4.50 X914,X908) => 27.27/4.50 (X910( 27.27/4.50 X912) => 27.27/4.50 (X910( 27.27/4.50 X914) => 27.27/4.50 (X912 = 27.27/4.50 X914))))))) => 27.27/4.50 (( 27.27/4.50 ?[X916]: 27.27/4.50 (X910( 27.27/4.50 X916) & 27.27/4.50 in( 27.27/4.50 X916,X908))) => 27.27/4.50 ex1( 27.27/4.50 X908, 27.27/4.50 ^[V_18]: 27.27/4.50 X910( 27.27/4.50 V_18))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X918, 27.27/4.50 X920]: 27.27/4.50 (( 27.27/4.50 setadjoin( 27.27/4.50 X918, 27.27/4.50 emptyset) = 27.27/4.50 setadjoin( 27.27/4.50 X920, 27.27/4.50 emptyset)) => 27.27/4.50 (X918 = 27.27/4.50 X920))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X922, 27.27/4.50 X924,X926]: 27.27/4.50 (in( 27.27/4.50 setadjoin( 27.27/4.50 X926, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X922, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X922, 27.27/4.50 setadjoin( 27.27/4.50 X924, 27.27/4.50 emptyset)), 27.27/4.50 emptyset))) => 27.27/4.50 (X922 = 27.27/4.50 X926))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X928]: 27.27/4.50 (iskpair( 27.27/4.50 X928) => 27.27/4.50 singleton( 27.27/4.50 dsetconstr( 27.27/4.50 setunion( 27.27/4.50 X928), 27.27/4.50 ^[V_19]: 27.27/4.50 in( 27.27/4.50 setadjoin( 27.27/4.50 V_19, 27.27/4.50 emptyset), 27.27/4.50 X928))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X930]: 27.27/4.50 (singleton( 27.27/4.50 X930) => 27.27/4.50 in( 27.27/4.50 setunion( 27.27/4.50 X930), 27.27/4.50 X930))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X932, 27.27/4.50 X934]: 27.27/4.50 (kfst( 27.27/4.50 kpair( 27.27/4.50 X932,X934)) = 27.27/4.50 X932)) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X936, 27.27/4.50 X938,X940]: 27.27/4.50 (in( 27.27/4.50 X940, 27.27/4.50 cartprod( 27.27/4.50 X936,X938)) => 27.27/4.50 in( 27.27/4.50 kfst( 27.27/4.50 X940), 27.27/4.50 X936))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X942, 27.27/4.50 X944, 27.27/4.50 X946,X948]: 27.27/4.50 (( 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X942, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X942, 27.27/4.50 setadjoin( 27.27/4.50 X944, 27.27/4.50 emptyset)), 27.27/4.50 emptyset)) = 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X946, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X946, 27.27/4.50 setadjoin( 27.27/4.50 X948, 27.27/4.50 emptyset)), 27.27/4.50 emptyset))) => 27.27/4.50 (X942 = 27.27/4.50 X946))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X950, 27.27/4.50 X952, 27.27/4.50 X954,X956]: 27.27/4.50 (( 27.27/4.50 kpair( 27.27/4.50 X950,X952) = 27.27/4.50 kpair( 27.27/4.50 X954,X956)) => 27.27/4.50 (X950 = 27.27/4.50 X954))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X958, 27.27/4.50 X960]: 27.27/4.50 (( 27.27/4.50 X958 = 27.27/4.50 X960) => 27.27/4.50 (setadjoin( 27.27/4.50 X958, 27.27/4.50 setadjoin( 27.27/4.50 X960, 27.27/4.50 emptyset)) = 27.27/4.50 setadjoin( 27.27/4.50 X958, 27.27/4.50 emptyset)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X962, 27.27/4.50 X964]: 27.27/4.50 (( 27.27/4.50 X962 = 27.27/4.50 X964) => 27.27/4.50 (setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X962, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X962, 27.27/4.50 setadjoin( 27.27/4.50 X964, 27.27/4.50 emptyset)), 27.27/4.50 emptyset)) = 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X962, 27.27/4.50 emptyset), 27.27/4.50 emptyset)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X966, 27.27/4.50 X968, 27.27/4.50 X970,X972]: 27.27/4.50 (( 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X966, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X966, 27.27/4.50 setadjoin( 27.27/4.50 X968, 27.27/4.50 emptyset)), 27.27/4.50 emptyset)) = 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X970, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X970, 27.27/4.50 setadjoin( 27.27/4.50 X972, 27.27/4.50 emptyset)), 27.27/4.50 emptyset))) => 27.27/4.50 (( 27.27/4.50 X970 = 27.27/4.50 X972) => 27.27/4.50 (X968 = 27.27/4.50 X972)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X974, 27.27/4.50 X976,X978]: 27.27/4.50 (( 27.27/4.50 setadjoin( 27.27/4.50 X974, 27.27/4.50 setadjoin( 27.27/4.50 X976, 27.27/4.50 emptyset)) = 27.27/4.50 setadjoin( 27.27/4.50 X978, 27.27/4.50 emptyset)) => 27.27/4.50 (X974 = 27.27/4.50 X976))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X980, 27.27/4.50 X982, 27.27/4.50 X984,X986]: 27.27/4.50 (( 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X980, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X980, 27.27/4.50 setadjoin( 27.27/4.50 X982, 27.27/4.50 emptyset)), 27.27/4.50 emptyset)) = 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X984, 27.27/4.50 emptyset), 27.27/4.50 setadjoin( 27.27/4.50 setadjoin( 27.27/4.50 X984, 27.27/4.50 setadjoin( 27.27/4.50 X986, 27.27/4.50 emptyset)), 27.27/4.50 emptyset))) => 27.27/4.50 (X982 = 27.27/4.50 X986))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X988, 27.27/4.50 X990, 27.27/4.50 X992,X994]: 27.27/4.50 (( 27.27/4.50 kpair( 27.27/4.50 X988,X990) = 27.27/4.50 kpair( 27.27/4.50 X992,X994)) => 27.27/4.50 (X990 = 27.27/4.50 X994))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X996]: 27.27/4.50 (iskpair( 27.27/4.50 X996) => 27.27/4.50 singleton( 27.27/4.50 dsetconstr( 27.27/4.50 setunion( 27.27/4.50 X996), 27.27/4.50 ^[V_20]: 27.27/4.50 (X996 = 27.27/4.50 kpair( 27.27/4.50 kfst( 27.27/4.50 X996), 27.27/4.50 V_20)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X998, 27.27/4.50 X1000]: 27.27/4.50 (ksnd( 27.27/4.50 kpair( 27.27/4.50 X998, 27.27/4.50 X1000)) = 27.27/4.50 X1000)) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1002]: 27.27/4.50 (iskpair( 27.27/4.50 X1002) => 27.27/4.50 (kpair( 27.27/4.50 kfst( 27.27/4.50 X1002), 27.27/4.50 ksnd( 27.27/4.50 X1002)) = 27.27/4.50 X1002))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1004, 27.27/4.50 X1006, 27.27/4.50 X1008]: 27.27/4.50 (in( 27.27/4.50 X1008, 27.27/4.50 cartprod( 27.27/4.50 X1004, 27.27/4.50 X1006)) => 27.27/4.50 in( 27.27/4.50 ksnd( 27.27/4.50 X1008), 27.27/4.50 X1006))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1010, 27.27/4.50 X1012, 27.27/4.50 X1014, 27.27/4.50 X1016]: 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1014, 27.27/4.50 X1016), 27.27/4.50 cartprod( 27.27/4.50 X1010, 27.27/4.50 X1012)) => 27.27/4.50 in( 27.27/4.50 X1014, 27.27/4.50 X1010))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1018, 27.27/4.50 X1020, 27.27/4.50 X1022, 27.27/4.50 X1024]: 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1022, 27.27/4.50 X1024), 27.27/4.50 cartprod( 27.27/4.50 X1018, 27.27/4.50 X1020)) => 27.27/4.50 in( 27.27/4.50 X1024, 27.27/4.50 X1020))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1026, 27.27/4.50 X1028, 27.27/4.50 X1030]: 27.27/4.50 (in( 27.27/4.50 X1030, 27.27/4.50 X1026) => 27.27/4.50 (![X1032]: 27.27/4.50 (in( 27.27/4.50 X1032, 27.27/4.50 X1028) => 27.27/4.50 (kpair( 27.27/4.50 X1030, 27.27/4.50 X1032) = 27.27/4.50 kpair( 27.27/4.50 X1030, 27.27/4.50 X1032)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1034, 27.27/4.50 X1036, 27.27/4.50 X1038]: 27.27/4.50 (in( 27.27/4.50 X1038, 27.27/4.50 X1034) => 27.27/4.50 (![X1040]: 27.27/4.50 (in( 27.27/4.50 X1040, 27.27/4.50 X1036) => 27.27/4.50 (kfst( 27.27/4.50 kpair( 27.27/4.50 X1038, 27.27/4.50 X1040)) = 27.27/4.50 X1038))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1042, 27.27/4.50 X1044, 27.27/4.50 X1046]: 27.27/4.50 (in( 27.27/4.50 X1046, 27.27/4.50 X1042) => 27.27/4.50 (![X1048]: 27.27/4.50 (in( 27.27/4.50 X1048, 27.27/4.50 X1044) => 27.27/4.50 (ksnd( 27.27/4.50 kpair( 27.27/4.50 X1046, 27.27/4.50 X1048)) = 27.27/4.50 X1048))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1050, 27.27/4.50 X1052, 27.27/4.50 X1054]: 27.27/4.50 (in( 27.27/4.50 X1054, 27.27/4.50 cartprod( 27.27/4.50 X1050, 27.27/4.50 X1052)) => 27.27/4.50 (kpair( 27.27/4.50 kfst( 27.27/4.50 X1054), 27.27/4.50 ksnd( 27.27/4.50 X1054)) = 27.27/4.50 X1054))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1056, 27.27/4.50 X1058, 27.27/4.50 X1060:( 27.27/4.50 ($i * $i) > 27.27/4.50 $o),X1062]: 27.27/4.50 (in( 27.27/4.50 X1062, 27.27/4.50 X1056) => 27.27/4.50 (![X1064]: 27.27/4.50 (in( 27.27/4.50 X1064, 27.27/4.50 X1058) => 27.27/4.50 (X1060( 27.27/4.50 X1062, 27.27/4.50 X1064) => 27.27/4.50 in( 27.27/4.50 kpair( 27.27/4.50 X1062, 27.27/4.50 X1064), 27.27/4.50 dpsetconstr( 27.27/4.50 X1056, 27.27/4.50 X1058, 27.27/4.50 ^[V_21, 27.27/4.50 V_22]: 27.27/4.50 X1060( 27.27/4.50 V_21,V_22)))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1066, 27.27/4.50 X1068, 27.27/4.50 X1070:( 27.27/4.50 ($i * $i) > 27.27/4.50 $o)]: 27.27/4.50 subset( 27.27/4.50 dpsetconstr( 27.27/4.50 X1066, 27.27/4.50 X1068, 27.27/4.50 ^[V_23, 27.27/4.50 V_24]: 27.27/4.50 X1070( 27.27/4.50 V_23,V_24)), 27.27/4.50 cartprod( 27.27/4.50 X1066, 27.27/4.50 X1068))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1072, 27.27/4.50 X1074, 27.27/4.50 X1076:( 27.27/4.50 ($i * $i) > 27.27/4.50 $o)]: 27.27/4.50 breln( 27.27/4.50 X1072, 27.27/4.50 X1074, 27.27/4.50 dpsetconstr( 27.27/4.50 X1072, 27.27/4.50 X1074, 27.27/4.50 ^[V_25, 27.27/4.50 V_26]: 27.27/4.50 X1076( 27.27/4.50 V_25,V_26)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1078, 27.27/4.50 X1080, 27.27/4.50 X1082:( 27.27/4.50 ($i * $i) > 27.27/4.50 $o),X1084]: 27.27/4.50 (in( 27.27/4.50 X1084, 27.27/4.50 X1078) => 27.27/4.50 (![X1086]: 27.27/4.50 (in( 27.27/4.50 X1086, 27.27/4.50 X1080) => 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1084, 27.27/4.50 X1086), 27.27/4.50 dpsetconstr( 27.27/4.50 X1078, 27.27/4.50 X1080, 27.27/4.50 ^[V_27, 27.27/4.50 V_28]: 27.27/4.50 X1082( 27.27/4.50 V_27,V_28))) => 27.27/4.50 X1082( 27.27/4.50 X1084, 27.27/4.50 X1086)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1088, 27.27/4.50 X1090, 27.27/4.50 X1092:( 27.27/4.50 ($i * $i) > 27.27/4.50 $o), 27.27/4.50 X1094, 27.27/4.50 X1096]: 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1094, 27.27/4.50 X1096), 27.27/4.50 dpsetconstr( 27.27/4.50 X1088, 27.27/4.50 X1090, 27.27/4.50 ^[V_29, 27.27/4.50 V_30]: 27.27/4.50 X1092( 27.27/4.50 V_29,V_30))) => 27.27/4.50 in( 27.27/4.50 X1094, 27.27/4.50 X1088))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1098, 27.27/4.50 X1100, 27.27/4.50 X1102:( 27.27/4.50 ($i * $i) > 27.27/4.50 $o), 27.27/4.50 X1104, 27.27/4.50 X1106]: 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1104, 27.27/4.50 X1106), 27.27/4.50 dpsetconstr( 27.27/4.50 X1098, 27.27/4.50 X1100, 27.27/4.50 ^[V_31, 27.27/4.50 V_32]: 27.27/4.50 X1102( 27.27/4.50 V_31,V_32))) => 27.27/4.50 in( 27.27/4.50 X1106, 27.27/4.50 X1100))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1108, 27.27/4.50 X1110, 27.27/4.50 X1112:( 27.27/4.50 ($i * $i) > 27.27/4.50 $o), 27.27/4.50 X1114, 27.27/4.50 X1116]: 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1114, 27.27/4.50 X1116), 27.27/4.50 dpsetconstr( 27.27/4.50 X1108, 27.27/4.50 X1110, 27.27/4.50 ^[V_33, 27.27/4.50 V_34]: 27.27/4.50 X1112( 27.27/4.50 V_33,V_34))) => 27.27/4.50 X1112( 27.27/4.50 X1114, 27.27/4.50 X1116))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1118, 27.27/4.50 X1120, 27.27/4.50 X1122]: 27.27/4.50 (func( 27.27/4.50 X1118, 27.27/4.50 X1120, 27.27/4.50 X1122) => 27.27/4.50 (![X1124]: 27.27/4.50 (in( 27.27/4.50 X1124, 27.27/4.50 X1118) => 27.27/4.50 singleton( 27.27/4.50 dsetconstr( 27.27/4.50 X1120, 27.27/4.50 ^[V_35]: 27.27/4.50 in( 27.27/4.50 kpair( 27.27/4.50 X1124, 27.27/4.50 V_35), 27.27/4.50 X1122))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1126, 27.27/4.50 X1128, 27.27/4.50 X1130]: 27.27/4.50 (func( 27.27/4.50 X1126, 27.27/4.50 X1128, 27.27/4.50 X1130) => 27.27/4.50 (![X1132]: 27.27/4.50 (in( 27.27/4.50 X1132, 27.27/4.50 X1126) => 27.27/4.50 in( 27.27/4.50 setunion( 27.27/4.50 dsetconstr( 27.27/4.50 X1128, 27.27/4.50 ^[V_36]: 27.27/4.50 in( 27.27/4.50 kpair( 27.27/4.50 X1132, 27.27/4.50 V_36), 27.27/4.50 X1130))), 27.27/4.50 X1128))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1134, 27.27/4.50 X1136, 27.27/4.50 X1138]: 27.27/4.50 (func( 27.27/4.50 X1134, 27.27/4.50 X1136, 27.27/4.50 X1138) => 27.27/4.50 (![X1140]: 27.27/4.50 (in( 27.27/4.50 X1140, 27.27/4.50 X1134) => 27.27/4.50 in( 27.27/4.50 ap( 27.27/4.50 X1134, 27.27/4.50 X1136, 27.27/4.50 X1138, 27.27/4.50 X1140), 27.27/4.50 X1136))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1142, 27.27/4.50 X1144, 27.27/4.50 X1146]: 27.27/4.50 (in( 27.27/4.50 X1146, 27.27/4.50 funcSet( 27.27/4.50 X1142, 27.27/4.50 X1144)) => 27.27/4.50 func( 27.27/4.50 X1142, 27.27/4.50 X1144, 27.27/4.50 X1146))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1148, 27.27/4.50 X1150, 27.27/4.50 X1152]: 27.27/4.50 (in( 27.27/4.50 X1152, 27.27/4.50 funcSet( 27.27/4.50 X1148, 27.27/4.50 X1150)) => 27.27/4.50 (![X1154]: 27.27/4.50 (in( 27.27/4.50 X1154, 27.27/4.50 X1148) => 27.27/4.50 in( 27.27/4.50 ap( 27.27/4.50 X1148, 27.27/4.50 X1150, 27.27/4.50 X1152, 27.27/4.50 X1154), 27.27/4.50 X1150))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1156, 27.27/4.50 X1158, 27.27/4.50 X1160]: 27.27/4.50 (func( 27.27/4.50 X1156, 27.27/4.50 X1158, 27.27/4.50 X1160) => 27.27/4.50 in( 27.27/4.50 X1160, 27.27/4.50 funcSet( 27.27/4.50 X1156, 27.27/4.50 X1158)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1162, 27.27/4.50 X1164, 27.27/4.50 X1166:( 27.27/4.50 ( 27.27/4.50 $i > $i))]: 27.27/4.50 (( 27.27/4.50 ![X1168]: 27.27/4.50 (in( 27.27/4.50 X1168, 27.27/4.50 X1162) => 27.27/4.50 in( 27.27/4.50 X1166( 27.27/4.50 X1168), 27.27/4.50 X1164))) => 27.27/4.50 func( 27.27/4.50 X1162, 27.27/4.50 X1164, 27.27/4.50 dpsetconstr( 27.27/4.50 X1162, 27.27/4.50 X1164, 27.27/4.50 ^[V_37, 27.27/4.50 V_38]: 27.27/4.50 (X1166( 27.27/4.50 V_37) = 27.27/4.50 V_38))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1170, 27.27/4.50 X1172, 27.27/4.50 X1174:( 27.27/4.50 ( 27.27/4.50 $i > $i))]: 27.27/4.50 (( 27.27/4.50 ![X1176]: 27.27/4.50 (in( 27.27/4.50 X1176, 27.27/4.50 X1170) => 27.27/4.50 in( 27.27/4.50 X1174( 27.27/4.50 X1176), 27.27/4.50 X1172))) => 27.27/4.50 func( 27.27/4.50 X1170, 27.27/4.50 X1172, 27.27/4.50 lam( 27.27/4.50 X1170, 27.27/4.50 X1172, 27.27/4.50 ^[V_39]: 27.27/4.50 X1174( 27.27/4.50 V_39))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1178, 27.27/4.50 X1180, 27.27/4.50 X1182:( 27.27/4.50 ( 27.27/4.50 $i > $i))]: 27.27/4.50 (( 27.27/4.50 ![X1184]: 27.27/4.50 (in( 27.27/4.50 X1184, 27.27/4.50 X1178) => 27.27/4.50 in( 27.27/4.50 X1182( 27.27/4.50 X1184), 27.27/4.50 X1180))) => 27.27/4.50 in( 27.27/4.50 lam( 27.27/4.50 X1178, 27.27/4.50 X1180, 27.27/4.50 ^[V_40]: 27.27/4.50 X1182( 27.27/4.50 V_40)), 27.27/4.50 funcSet( 27.27/4.50 X1178, 27.27/4.50 X1180)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1186, 27.27/4.50 X1188, 27.27/4.50 X1190]: 27.27/4.50 (breln( 27.27/4.50 X1186, 27.27/4.50 X1188, 27.27/4.50 X1190) => 27.27/4.50 (![X1192:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (( 27.27/4.50 ![X1194]: 27.27/4.50 (in( 27.27/4.50 X1194, 27.27/4.50 X1186) => 27.27/4.50 (![X1196]: 27.27/4.50 (in( 27.27/4.50 X1196, 27.27/4.50 X1188) => 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1194, 27.27/4.50 X1196), 27.27/4.50 X1190) => 27.27/4.50 X1192( 27.27/4.50 kpair( 27.27/4.50 X1194, 27.27/4.50 X1196))))))) => 27.27/4.50 (![X1198]: 27.27/4.50 (in( 27.27/4.50 X1198, 27.27/4.50 X1190) => 27.27/4.50 X1192( 27.27/4.50 X1198))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1200, 27.27/4.50 X1202, 27.27/4.50 X1204]: 27.27/4.50 (breln( 27.27/4.50 X1200, 27.27/4.50 X1202, 27.27/4.50 X1204) => 27.27/4.50 (![X1206:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (( 27.27/4.50 ![X1208]: 27.27/4.50 (in( 27.27/4.50 X1208, 27.27/4.50 X1200) => 27.27/4.50 (![X1210]: 27.27/4.50 (in( 27.27/4.50 X1210, 27.27/4.50 X1202) => 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1208, 27.27/4.50 X1210), 27.27/4.50 X1204) => 27.27/4.50 X1206( 27.27/4.50 kpair( 27.27/4.50 X1208, 27.27/4.50 X1210))))))) => 27.27/4.50 (![X1212]: 27.27/4.50 (in( 27.27/4.50 X1212, 27.27/4.50 X1204) => 27.27/4.50 X1206( 27.27/4.50 X1212))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1214, 27.27/4.50 X1216:( 27.27/4.50 ( 27.27/4.50 $i > $o))]: 27.27/4.50 (ex1( 27.27/4.50 X1214, 27.27/4.50 ^[V_41]: 27.27/4.50 X1216( 27.27/4.50 V_41)) => 27.27/4.50 (![X1218]: 27.27/4.50 (in( 27.27/4.50 X1218, 27.27/4.50 X1214) => 27.27/4.50 (![X1220]: 27.27/4.50 (in( 27.27/4.50 X1220, 27.27/4.50 X1214) => 27.27/4.50 (X1216( 27.27/4.50 X1218) => 27.27/4.50 (X1216( 27.27/4.50 X1220) => 27.27/4.50 (X1218 = 27.27/4.50 X1220))))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1222, 27.27/4.50 X1224, 27.27/4.50 X1226]: 27.27/4.50 (func( 27.27/4.50 X1222, 27.27/4.50 X1224, 27.27/4.50 X1226) => 27.27/4.50 (![X1228]: 27.27/4.50 (in( 27.27/4.50 X1228, 27.27/4.50 X1222) => 27.27/4.50 in( 27.27/4.50 kpair( 27.27/4.50 X1228, 27.27/4.50 ap( 27.27/4.50 X1222, 27.27/4.50 X1224, 27.27/4.50 X1226, 27.27/4.50 X1228)), 27.27/4.50 X1226))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1230, 27.27/4.50 X1232, 27.27/4.50 X1234]: 27.27/4.50 (in( 27.27/4.50 X1234, 27.27/4.50 funcSet( 27.27/4.50 X1230, 27.27/4.50 X1232)) => 27.27/4.50 (![X1236]: 27.27/4.50 (in( 27.27/4.50 X1236, 27.27/4.50 X1230) => 27.27/4.50 in( 27.27/4.50 kpair( 27.27/4.50 X1236, 27.27/4.50 ap( 27.27/4.50 X1230, 27.27/4.50 X1232, 27.27/4.50 X1234, 27.27/4.50 X1236)), 27.27/4.50 X1234))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1238, 27.27/4.50 X1240, 27.27/4.50 X1242]: 27.27/4.50 (func( 27.27/4.50 X1238, 27.27/4.50 X1240, 27.27/4.50 X1242) => 27.27/4.50 (![X1244]: 27.27/4.50 (in( 27.27/4.50 X1244, 27.27/4.50 X1238) => 27.27/4.50 (![X1246]: 27.27/4.50 (in( 27.27/4.50 X1246, 27.27/4.50 X1240) => 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1244, 27.27/4.50 X1246), 27.27/4.50 X1242) => 27.27/4.50 (ap( 27.27/4.50 X1238, 27.27/4.50 X1240, 27.27/4.50 X1242, 27.27/4.50 X1244) = 27.27/4.50 X1246)))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1248, 27.27/4.50 X1250, 27.27/4.50 X1252]: 27.27/4.50 (func( 27.27/4.50 X1248, 27.27/4.50 X1250, 27.27/4.50 X1252) => 27.27/4.50 (![X1254]: 27.27/4.50 (func( 27.27/4.50 X1248, 27.27/4.50 X1250, 27.27/4.50 X1254) => 27.27/4.50 (( 27.27/4.50 ![X1256]: 27.27/4.50 (in( 27.27/4.50 X1256, 27.27/4.50 X1248) => 27.27/4.50 (ap( 27.27/4.50 X1248, 27.27/4.50 X1250, 27.27/4.50 X1252, 27.27/4.50 X1256) = 27.27/4.50 ap( 27.27/4.50 X1248, 27.27/4.50 X1250, 27.27/4.50 X1254, 27.27/4.50 X1256)))) => 27.27/4.50 (![X1258]: 27.27/4.50 (in( 27.27/4.50 X1258, 27.27/4.50 X1248) => 27.27/4.50 (![X1260]: 27.27/4.50 (in( 27.27/4.50 X1260, 27.27/4.50 X1250) => 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1258, 27.27/4.50 X1260), 27.27/4.50 X1254) => 27.27/4.50 in( 27.27/4.50 kpair( 27.27/4.50 X1258, 27.27/4.50 X1260), 27.27/4.50 X1252))))))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1262, 27.27/4.50 X1264, 27.27/4.50 X1266]: 27.27/4.50 (in( 27.27/4.50 X1266, 27.27/4.50 funcSet( 27.27/4.50 X1262, 27.27/4.50 X1264)) => 27.27/4.50 (![X1268]: 27.27/4.50 (in( 27.27/4.50 X1268, 27.27/4.50 X1262) => 27.27/4.50 (![X1270]: 27.27/4.50 (in( 27.27/4.50 X1270, 27.27/4.50 X1264) => 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1268, 27.27/4.50 X1270), 27.27/4.50 X1266) => 27.27/4.50 (ap( 27.27/4.50 X1262, 27.27/4.50 X1264, 27.27/4.50 X1266, 27.27/4.50 X1268) = 27.27/4.50 X1270)))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1272, 27.27/4.50 X1274, 27.27/4.50 X1276]: 27.27/4.50 (breln( 27.27/4.50 X1272, 27.27/4.50 X1274, 27.27/4.50 X1276) => 27.27/4.50 (![X1278]: 27.27/4.50 (breln( 27.27/4.50 X1272, 27.27/4.50 X1274, 27.27/4.50 X1278) => 27.27/4.50 (( 27.27/4.50 ![X1280]: 27.27/4.50 (in( 27.27/4.50 X1280, 27.27/4.50 X1272) => 27.27/4.50 (![X1282]: 27.27/4.50 (in( 27.27/4.50 X1282, 27.27/4.50 X1274) => 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1280, 27.27/4.50 X1282), 27.27/4.50 X1276) => 27.27/4.50 in( 27.27/4.50 kpair( 27.27/4.50 X1280, 27.27/4.50 X1282), 27.27/4.50 X1278)))))) => 27.27/4.50 subset( 27.27/4.50 X1276, 27.27/4.50 X1278)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1284, 27.27/4.50 X1286, 27.27/4.50 X1288]: 27.27/4.50 (breln( 27.27/4.50 X1284, 27.27/4.50 X1286, 27.27/4.50 X1288) => 27.27/4.50 (![X1290]: 27.27/4.50 (breln( 27.27/4.50 X1284, 27.27/4.50 X1286, 27.27/4.50 X1290) => 27.27/4.50 (( 27.27/4.50 ![X1292]: 27.27/4.50 (in( 27.27/4.50 X1292, 27.27/4.50 X1284) => 27.27/4.50 (![X1294]: 27.27/4.50 (in( 27.27/4.50 X1294, 27.27/4.50 X1286) => 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1292, 27.27/4.50 X1294), 27.27/4.50 X1288) => 27.27/4.50 in( 27.27/4.50 kpair( 27.27/4.50 X1292, 27.27/4.50 X1294), 27.27/4.50 X1290)))))) => 27.27/4.50 (( 27.27/4.50 ![X1296]: 27.27/4.50 (in( 27.27/4.50 X1296, 27.27/4.50 X1284) => 27.27/4.50 (![X1298]: 27.27/4.50 (in( 27.27/4.50 X1298, 27.27/4.50 X1286) => 27.27/4.50 (in( 27.27/4.50 kpair( 27.27/4.50 X1296, 27.27/4.50 X1298), 27.27/4.50 X1290) => 27.27/4.50 in( 27.27/4.50 kpair( 27.27/4.50 X1296, 27.27/4.50 X1298), 27.27/4.50 X1288)))))) => 27.27/4.50 (X1288 = 27.27/4.50 X1290))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1300, 27.27/4.50 X1302, 27.27/4.50 X1304]: 27.27/4.50 (func( 27.27/4.50 X1300, 27.27/4.50 X1302, 27.27/4.50 X1304) => 27.27/4.50 (![X1306]: 27.27/4.50 (func( 27.27/4.50 X1300, 27.27/4.50 X1302, 27.27/4.50 X1306) => 27.27/4.50 (( 27.27/4.50 ![X1308]: 27.27/4.50 (in( 27.27/4.50 X1308, 27.27/4.50 X1300) => 27.27/4.50 (ap( 27.27/4.50 X1300, 27.27/4.50 X1302, 27.27/4.50 X1304, 27.27/4.50 X1308) = 27.27/4.50 ap( 27.27/4.50 X1300, 27.27/4.50 X1302, 27.27/4.50 X1306, 27.27/4.50 X1308)))) => 27.27/4.50 (X1304 = 27.27/4.50 X1306)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1310, 27.27/4.50 X1312, 27.27/4.50 X1314]: 27.27/4.50 (in( 27.27/4.50 X1314, 27.27/4.50 funcSet( 27.27/4.50 X1310, 27.27/4.50 X1312)) => 27.27/4.50 (![X1316]: 27.27/4.50 (in( 27.27/4.50 X1316, 27.27/4.50 funcSet( 27.27/4.50 X1310, 27.27/4.50 X1312)) => 27.27/4.50 (( 27.27/4.50 ![X1318]: 27.27/4.50 (in( 27.27/4.50 X1318, 27.27/4.50 X1310) => 27.27/4.50 (ap( 27.27/4.50 X1310, 27.27/4.50 X1312, 27.27/4.50 X1314, 27.27/4.50 X1318) = 27.27/4.50 ap( 27.27/4.50 X1310, 27.27/4.50 X1312, 27.27/4.50 X1316, 27.27/4.50 X1318)))) => 27.27/4.50 (X1314 = 27.27/4.50 X1316)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1320, 27.27/4.50 X1322, 27.27/4.50 X1324]: 27.27/4.50 (in( 27.27/4.50 X1324, 27.27/4.50 funcSet( 27.27/4.50 X1320, 27.27/4.50 X1322)) => 27.27/4.50 (![X1326]: 27.27/4.50 (in( 27.27/4.50 X1326, 27.27/4.50 X1320) => 27.27/4.50 (ap( 27.27/4.50 X1320, 27.27/4.50 X1322, 27.27/4.50 X1324, 27.27/4.50 X1326) = 27.27/4.50 ap( 27.27/4.50 X1320, 27.27/4.50 X1322, 27.27/4.50 X1324, 27.27/4.50 X1326)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1328, 27.27/4.50 X1330, 27.27/4.50 X1332]: 27.27/4.50 (func( 27.27/4.50 X1328, 27.27/4.50 X1330, 27.27/4.50 X1332) => 27.27/4.50 (![X1334]: 27.27/4.50 (in( 27.27/4.50 X1334, 27.27/4.50 X1328) => 27.27/4.50 (ap( 27.27/4.50 X1328, 27.27/4.50 X1330, 27.27/4.50 X1332, 27.27/4.50 X1334) = 27.27/4.50 ap( 27.27/4.50 X1328, 27.27/4.50 X1330, 27.27/4.50 X1332, 27.27/4.50 X1334)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1336, 27.27/4.50 X1338, 27.27/4.50 X1340:( 27.27/4.50 ( 27.27/4.50 $i > $i))]: 27.27/4.50 (( 27.27/4.50 ![X1342]: 27.27/4.50 (in( 27.27/4.50 X1342, 27.27/4.50 X1336) => 27.27/4.50 in( 27.27/4.50 X1340( 27.27/4.50 X1342), 27.27/4.50 X1338))) => 27.27/4.50 (![X1344]: 27.27/4.50 (in( 27.27/4.50 X1344, 27.27/4.50 X1336) => 27.27/4.50 (ap( 27.27/4.50 X1336, 27.27/4.50 X1338, 27.27/4.50 lam( 27.27/4.50 X1336, 27.27/4.50 X1338, 27.27/4.50 ^[V_42]: 27.27/4.50 X1340( 27.27/4.50 V_42)), 27.27/4.50 X1344) = 27.27/4.50 X1340( 27.27/4.50 X1344)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1346, 27.27/4.50 X1348, 27.27/4.50 X1350]: 27.27/4.50 (func( 27.27/4.50 X1346, 27.27/4.50 X1348, 27.27/4.50 X1350) => 27.27/4.50 (lam( 27.27/4.50 X1346, 27.27/4.50 X1348, 27.27/4.50 ^[V_43]: 27.27/4.50 ap( 27.27/4.50 X1346, 27.27/4.50 X1348, 27.27/4.50 X1350, 27.27/4.50 V_43)) = 27.27/4.50 X1350))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1352, 27.27/4.50 X1354, 27.27/4.50 X1356:( 27.27/4.50 ( 27.27/4.50 $i > $i))]: 27.27/4.50 (( 27.27/4.50 ![X1358]: 27.27/4.50 (in( 27.27/4.50 X1358, 27.27/4.50 X1352) => 27.27/4.50 in( 27.27/4.50 X1356( 27.27/4.50 X1358), 27.27/4.50 X1354))) => 27.27/4.50 (lam( 27.27/4.50 X1352, 27.27/4.50 X1354, 27.27/4.50 ^[V_44]: 27.27/4.50 X1356( 27.27/4.50 V_44)) = 27.27/4.50 lam( 27.27/4.50 X1352, 27.27/4.50 X1354, 27.27/4.50 ^[V_45]: 27.27/4.50 X1356( 27.27/4.50 V_45))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1360, 27.27/4.50 X1362, 27.27/4.50 X1364:( 27.27/4.50 ( 27.27/4.50 $i > $i))]: 27.27/4.50 (( 27.27/4.50 ![X1366]: 27.27/4.50 (in( 27.27/4.50 X1366, 27.27/4.50 X1360) => 27.27/4.50 in( 27.27/4.50 X1364( 27.27/4.50 X1366), 27.27/4.50 X1362))) => 27.27/4.50 (![X1368]: 27.27/4.50 (in( 27.27/4.50 X1368, 27.27/4.50 X1360) => 27.27/4.50 (ap( 27.27/4.50 X1360, 27.27/4.50 X1362, 27.27/4.50 lam( 27.27/4.50 X1360, 27.27/4.50 X1362, 27.27/4.50 ^[V_46]: 27.27/4.50 X1364( 27.27/4.50 V_46)), 27.27/4.50 X1368) = 27.27/4.50 X1364( 27.27/4.50 X1368)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1370, 27.27/4.50 X1372, 27.27/4.50 X1374]: 27.27/4.50 (in( 27.27/4.50 X1374, 27.27/4.50 funcSet( 27.27/4.50 X1370, 27.27/4.50 X1372)) => 27.27/4.50 (lam( 27.27/4.50 X1370, 27.27/4.50 X1372, 27.27/4.50 ^[V_47]: 27.27/4.50 ap( 27.27/4.50 X1370, 27.27/4.50 X1372, 27.27/4.50 X1374, 27.27/4.50 V_47)) = 27.27/4.50 X1374))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1376, 27.27/4.50 X1378:$o, 27.27/4.50 X1380]: 27.27/4.50 (in( 27.27/4.50 X1380, 27.27/4.50 X1376) => 27.27/4.50 (![X1382]: 27.27/4.50 (in( 27.27/4.50 X1382, 27.27/4.50 X1376) => 27.27/4.50 (( 27.27/4.50 ~X1378) => 27.27/4.50 in( 27.27/4.50 X1382, 27.27/4.50 dsetconstr( 27.27/4.50 X1376, 27.27/4.50 ^[V_48]: 27.27/4.50 (( 27.27/4.50 ( 27.27/4.50 V_48 = 27.27/4.50 X1382) & 27.27/4.50 ( 27.27/4.50 ~X1378)) | 27.27/4.50 (( 27.27/4.50 V_48 = 27.27/4.50 X1380) & 27.27/4.50 X1378))))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1384, 27.27/4.50 X1386:$o, 27.27/4.50 X1388]: 27.27/4.50 (in( 27.27/4.50 X1388, 27.27/4.50 X1384) => 27.27/4.50 (![X1390]: 27.27/4.50 (in( 27.27/4.50 X1390, 27.27/4.50 X1384) => 27.27/4.50 (( 27.27/4.50 ~X1386) => 27.27/4.50 (dsetconstr( 27.27/4.50 X1384, 27.27/4.50 ^[V_49]: 27.27/4.50 (( 27.27/4.50 ( 27.27/4.50 V_49 = 27.27/4.50 X1390) & 27.27/4.50 ( 27.27/4.50 ~X1386)) | 27.27/4.50 (( 27.27/4.50 V_49 = 27.27/4.50 X1388) & 27.27/4.50 X1386))) = 27.27/4.50 setadjoin( 27.27/4.50 X1390, 27.27/4.50 emptyset))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1392, 27.27/4.50 X1394:$o, 27.27/4.50 X1396]: 27.27/4.50 (in( 27.27/4.50 X1396, 27.27/4.50 X1392) => 27.27/4.50 (![X1398]: 27.27/4.50 (in( 27.27/4.50 X1398, 27.27/4.50 X1392) => 27.27/4.50 (X1394 => 27.27/4.50 in( 27.27/4.50 X1396, 27.27/4.50 dsetconstr( 27.27/4.50 X1392, 27.27/4.50 ^[V_50]: 27.27/4.50 (( 27.27/4.50 ( 27.27/4.50 V_50 = 27.27/4.50 X1398) & 27.27/4.50 ( 27.27/4.50 ~X1394)) | 27.27/4.50 (( 27.27/4.50 V_50 = 27.27/4.50 X1396) & 27.27/4.50 X1394))))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1400, 27.27/4.50 X1402:$o, 27.27/4.50 X1404]: 27.27/4.50 (in( 27.27/4.50 X1404, 27.27/4.50 X1400) => 27.27/4.50 (![X1406]: 27.27/4.50 (in( 27.27/4.50 X1406, 27.27/4.50 X1400) => 27.27/4.50 (X1402 => 27.27/4.50 (dsetconstr( 27.27/4.50 X1400, 27.27/4.50 ^[V_51]: 27.27/4.50 (( 27.27/4.50 ( 27.27/4.50 V_51 = 27.27/4.50 X1406) & 27.27/4.50 ( 27.27/4.50 ~X1402)) | 27.27/4.50 (( 27.27/4.50 V_51 = 27.27/4.50 X1404) & 27.27/4.50 X1402))) = 27.27/4.50 setadjoin( 27.27/4.50 X1404, 27.27/4.50 emptyset))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1408, 27.27/4.50 X1410:$o, 27.27/4.50 X1412]: 27.27/4.50 (in( 27.27/4.50 X1412, 27.27/4.50 X1408) => 27.27/4.50 (![X1414]: 27.27/4.50 (in( 27.27/4.50 X1414, 27.27/4.50 X1408) => 27.27/4.50 singleton( 27.27/4.50 dsetconstr( 27.27/4.50 X1408, 27.27/4.50 ^[V_52]: 27.27/4.50 (( 27.27/4.50 ( 27.27/4.50 V_52 = 27.27/4.50 X1414) & 27.27/4.50 ( 27.27/4.50 ~X1410)) | 27.27/4.50 (( 27.27/4.50 V_52 = 27.27/4.50 X1412) & 27.27/4.50 X1410)))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1416, 27.27/4.50 X1418:$o, 27.27/4.50 X1420]: 27.27/4.50 (in( 27.27/4.50 X1420, 27.27/4.50 X1416) => 27.27/4.50 (![X1422]: 27.27/4.50 (in( 27.27/4.50 X1422, 27.27/4.50 X1416) => 27.27/4.50 in( 27.27/4.50 if( 27.27/4.50 X1416, 27.27/4.50 X1418, 27.27/4.50 X1420, 27.27/4.50 X1422), 27.27/4.50 X1416))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1424]: 27.27/4.50 (singleton( 27.27/4.50 X1424) => 27.27/4.50 (![X1426]: 27.27/4.50 (in( 27.27/4.50 X1426, 27.27/4.50 X1424) => 27.27/4.50 (setunion( 27.27/4.50 X1424) = 27.27/4.50 X1426))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1428, 27.27/4.50 X1430:$o, 27.27/4.50 X1432]: 27.27/4.50 (in( 27.27/4.50 X1432, 27.27/4.50 X1428) => 27.27/4.50 (![X1434]: 27.27/4.50 (in( 27.27/4.50 X1434, 27.27/4.50 X1428) => 27.27/4.50 (X1430 => 27.27/4.50 (if( 27.27/4.50 X1428, 27.27/4.50 X1430, 27.27/4.50 X1432, 27.27/4.50 X1434) = 27.27/4.50 X1432)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1436, 27.27/4.50 X1438:$o, 27.27/4.50 X1440]: 27.27/4.50 (in( 27.27/4.50 X1440, 27.27/4.50 X1436) => 27.27/4.50 (![X1442]: 27.27/4.50 (in( 27.27/4.50 X1442, 27.27/4.50 X1436) => 27.27/4.50 (( 27.27/4.50 ~X1438) => 27.27/4.50 (if( 27.27/4.50 X1436, 27.27/4.50 X1438, 27.27/4.50 X1440, 27.27/4.50 X1442) = 27.27/4.50 X1442)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1444, 27.27/4.50 X1446:$o, 27.27/4.50 X1448]: 27.27/4.50 (in( 27.27/4.50 X1448, 27.27/4.50 X1444) => 27.27/4.50 (![X1450]: 27.27/4.50 (in( 27.27/4.50 X1450, 27.27/4.50 X1444) => 27.27/4.50 in( 27.27/4.50 if( 27.27/4.50 X1444, 27.27/4.50 X1446, 27.27/4.50 X1448, 27.27/4.50 X1450), 27.27/4.50 setadjoin( 27.27/4.50 X1448, 27.27/4.50 setadjoin( 27.27/4.50 X1450, 27.27/4.50 emptyset))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1452, 27.27/4.50 X1454]: 27.27/4.50 (in( 27.27/4.50 X1454, 27.27/4.50 powerset( 27.27/4.50 X1452)) => 27.27/4.50 (![X1456]: 27.27/4.50 (in( 27.27/4.50 X1456, 27.27/4.50 powerset( 27.27/4.50 X1452)) => 27.27/4.50 in( 27.27/4.50 binintersect( 27.27/4.50 X1454, 27.27/4.50 X1456), 27.27/4.50 powerset( 27.27/4.50 X1452)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1458, 27.27/4.50 X1460]: 27.27/4.50 (in( 27.27/4.50 X1460, 27.27/4.50 powerset( 27.27/4.50 X1458)) => 27.27/4.50 (![X1462]: 27.27/4.50 (in( 27.27/4.50 X1462, 27.27/4.50 powerset( 27.27/4.50 X1458)) => 27.27/4.50 in( 27.27/4.50 binunion( 27.27/4.50 X1460, 27.27/4.50 X1462), 27.27/4.50 powerset( 27.27/4.50 X1458)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1464, 27.27/4.50 X1466]: 27.27/4.50 (in( 27.27/4.50 X1466, 27.27/4.50 powerset( 27.27/4.50 X1464)) => 27.27/4.50 in( 27.27/4.50 powerset( 27.27/4.50 X1466), 27.27/4.50 powerset( 27.27/4.50 powerset( 27.27/4.50 X1464))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1468, 27.27/4.50 X1470]: 27.27/4.50 (in( 27.27/4.50 X1470, 27.27/4.50 powerset( 27.27/4.50 X1468)) => 27.27/4.50 (![X1472]: 27.27/4.50 (in( 27.27/4.50 X1472, 27.27/4.50 powerset( 27.27/4.50 X1468)) => 27.27/4.50 in( 27.27/4.50 setminus( 27.27/4.50 X1470, 27.27/4.50 X1472), 27.27/4.50 powerset( 27.27/4.50 X1468)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1474, 27.27/4.50 X1476]: 27.27/4.50 (in( 27.27/4.50 X1476, 27.27/4.50 powerset( 27.27/4.50 X1474)) => 27.27/4.50 in( 27.27/4.50 setminus( 27.27/4.50 X1474, 27.27/4.50 X1476), 27.27/4.50 powerset( 27.27/4.50 X1474)))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1478, 27.27/4.50 X1480]: 27.27/4.50 (in( 27.27/4.50 X1480, 27.27/4.50 powerset( 27.27/4.50 X1478)) => 27.27/4.50 (![X1482]: 27.27/4.50 (in( 27.27/4.50 X1482, 27.27/4.50 powerset( 27.27/4.50 X1478)) => 27.27/4.50 (( 27.27/4.50 ![X1484]: 27.27/4.50 (in( 27.27/4.50 X1484, 27.27/4.50 X1478) => 27.27/4.50 (in( 27.27/4.50 X1484, 27.27/4.50 X1480) => 27.27/4.50 in( 27.27/4.50 X1484, 27.27/4.50 X1482)))) => 27.27/4.50 (( 27.27/4.50 ![X1486]: 27.27/4.50 (in( 27.27/4.50 X1486, 27.27/4.50 X1478) => 27.27/4.50 (in( 27.27/4.50 X1486, 27.27/4.50 X1482) => 27.27/4.50 in( 27.27/4.50 X1486, 27.27/4.50 X1480)))) => 27.27/4.50 (X1480 = 27.27/4.50 X1482))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1488, 27.27/4.50 X1490]: 27.27/4.50 (in( 27.27/4.50 X1490, 27.27/4.50 powerset( 27.27/4.50 X1488)) => 27.27/4.50 (![X1492]: 27.27/4.50 (in( 27.27/4.50 X1492, 27.27/4.50 powerset( 27.27/4.50 X1488)) => 27.27/4.50 (( 27.27/4.50 ![X1494]: 27.27/4.50 (in( 27.27/4.50 X1494, 27.27/4.50 X1488) => 27.27/4.50 (in( 27.27/4.50 X1494, 27.27/4.50 X1490) => 27.27/4.50 in( 27.27/4.50 X1494, 27.27/4.50 X1492)))) => 27.27/4.50 subset( 27.27/4.50 X1490, 27.27/4.50 X1492)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1496, 27.27/4.50 X1498]: 27.27/4.50 (in( 27.27/4.50 X1498, 27.27/4.50 powerset( 27.27/4.50 X1496)) => 27.27/4.50 (![X1500]: 27.27/4.50 (in( 27.27/4.50 X1500, 27.27/4.50 powerset( 27.27/4.50 X1496)) => 27.27/4.50 (( 27.27/4.50 ![X1502]: 27.27/4.50 (in( 27.27/4.50 X1502, 27.27/4.50 X1496) => 27.27/4.50 (in( 27.27/4.50 X1502, 27.27/4.50 X1498) => 27.27/4.50 in( 27.27/4.50 X1502, 27.27/4.50 X1500)))) => 27.27/4.50 in( 27.27/4.50 X1498, 27.27/4.50 powerset( 27.27/4.50 X1500))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1504, 27.27/4.50 X1506]: 27.27/4.50 (in( 27.27/4.50 X1506, 27.27/4.50 powerset( 27.27/4.50 X1504)) => 27.27/4.50 (![X1508]: 27.27/4.50 (in( 27.27/4.50 X1508, 27.27/4.50 powerset( 27.27/4.50 X1504)) => 27.27/4.50 (![X1510]: 27.27/4.50 (in( 27.27/4.50 X1510, 27.27/4.50 X1504) => 27.27/4.50 (in( 27.27/4.50 X1506, 27.27/4.50 powerset( 27.27/4.50 X1508)) => 27.27/4.50 (in( 27.27/4.50 X1510, 27.27/4.50 X1506) => 27.27/4.50 in( 27.27/4.50 X1510, 27.27/4.50 X1508))))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1512, 27.27/4.50 X1514]: 27.27/4.50 (in( 27.27/4.50 X1514, 27.27/4.50 powerset( 27.27/4.50 X1512)) => 27.27/4.50 (![X1516]: 27.27/4.50 (in( 27.27/4.50 X1516, 27.27/4.50 X1512) => 27.27/4.50 (in( 27.27/4.50 X1516, 27.27/4.50 X1514) => 27.27/4.50 (~ 27.27/4.50 in( 27.27/4.50 X1516, 27.27/4.50 setminus( 27.27/4.50 X1512, 27.27/4.50 X1514)))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1518, 27.27/4.50 X1520]: 27.27/4.50 (in( 27.27/4.50 X1520, 27.27/4.50 powerset( 27.27/4.50 X1518)) => 27.27/4.50 (![X1522]: 27.27/4.50 (in( 27.27/4.50 X1522, 27.27/4.50 X1518) => 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X1522, 27.27/4.50 setminus( 27.27/4.50 X1518, 27.27/4.50 X1520))) => 27.27/4.50 in( 27.27/4.50 X1522, 27.27/4.50 X1520)))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1524, 27.27/4.50 X1526]: 27.27/4.50 (in( 27.27/4.50 X1526, 27.27/4.50 powerset( 27.27/4.50 X1524)) => 27.27/4.50 (![X1528]: 27.27/4.50 (in( 27.27/4.50 X1528, 27.27/4.50 powerset( 27.27/4.50 X1524)) => 27.27/4.50 (![X1530]: 27.27/4.50 (in( 27.27/4.50 X1530, 27.27/4.50 X1524) => 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X1530, 27.27/4.50 X1526)) => 27.27/4.50 (~ 27.27/4.50 in( 27.27/4.50 X1530, 27.27/4.50 binintersect( 27.27/4.50 X1526, 27.27/4.50 X1528)))))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1532, 27.27/4.50 X1534]: 27.27/4.50 (in( 27.27/4.50 X1534, 27.27/4.50 powerset( 27.27/4.50 X1532)) => 27.27/4.50 (![X1536]: 27.27/4.50 (in( 27.27/4.50 X1536, 27.27/4.50 powerset( 27.27/4.50 X1532)) => 27.27/4.50 (![X1538]: 27.27/4.50 (in( 27.27/4.50 X1538, 27.27/4.50 X1532) => 27.27/4.50 (( 27.27/4.50 ~ 27.27/4.50 in( 27.27/4.50 X1538, 27.27/4.50 X1536)) => 27.27/4.50 (~ 27.27/4.50 in( 27.27/4.50 X1538, 27.27/4.50 binintersect( 27.27/4.50 X1534, 27.27/4.50 X1536)))))))))) => 27.27/4.50 ( 27.27/4.50 ( 27.27/4.50 ![X1540, 27.27/4.50 X1542]: 27.27/4.50 (in( 27.27/4.50 X1542, 27.27/4.50 powerset( 27.27/4.50 X1540)) => 27.27/4.50 (![X1544]: 27.27/4.50 (in( 27.27/4.50 X1544, 27.27/4.50 powerset( 27.27/4.50 X1540)) => 27.27/4.50 (![X1546]: 27.27/4.50 (in( 27.27/4.50 X1546, 27.27/4.50 X1540) => 27.27/4.50 (subset( 27.27/4.50 X1542, 27.27/4.50 setminus( 27.27/4.50 X1540, 27.27/4.50 X1544)) => 27.27/4.51 (in( 27.27/4.51 X1546, 27.27/4.51 X1544) => 27.27/4.51 (~ 27.27/4.51 in( 27.27/4.51 X1546, 27.27/4.51 X1542)))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1548, 27.27/4.51 X1550]: 27.27/4.51 (in( 27.27/4.51 X1550, 27.27/4.51 powerset( 27.27/4.51 X1548)) => 27.27/4.51 (![X1552]: 27.27/4.51 (in( 27.27/4.51 X1552, 27.27/4.51 powerset( 27.27/4.51 X1548)) => 27.27/4.51 (![X1554]: 27.27/4.51 (in( 27.27/4.51 X1554, 27.27/4.51 X1548) => 27.27/4.51 (subset( 27.27/4.51 X1550, 27.27/4.51 X1552) => 27.27/4.51 (( 27.27/4.51 ~ 27.27/4.51 in( 27.27/4.51 X1554, 27.27/4.51 X1552)) => 27.27/4.51 (~ 27.27/4.51 in( 27.27/4.51 X1554, 27.27/4.51 X1550)))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1556, 27.27/4.51 X1558]: 27.27/4.51 (in( 27.27/4.51 X1558, 27.27/4.51 powerset( 27.27/4.51 X1556)) => 27.27/4.51 (![X1560]: 27.27/4.51 (in( 27.27/4.51 X1560, 27.27/4.51 powerset( 27.27/4.51 X1556)) => 27.27/4.51 (subset( 27.27/4.51 X1558, 27.27/4.51 X1560) => 27.27/4.51 subset( 27.27/4.51 setminus( 27.27/4.51 X1556, 27.27/4.51 X1560), 27.27/4.51 setminus( 27.27/4.51 X1556, 27.27/4.51 X1558))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1562, 27.27/4.51 X1564]: 27.27/4.51 (in( 27.27/4.51 X1564, 27.27/4.51 powerset( 27.27/4.51 X1562)) => 27.27/4.51 (![X1566]: 27.27/4.51 (in( 27.27/4.51 X1566, 27.27/4.51 powerset( 27.27/4.51 X1562)) => 27.27/4.51 (subset( 27.27/4.51 setminus( 27.27/4.51 X1562, 27.27/4.51 X1566), 27.27/4.51 setminus( 27.27/4.51 X1562, 27.27/4.51 X1564)) => 27.27/4.51 subset( 27.27/4.51 X1564, 27.27/4.51 X1566)))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1568, 27.27/4.51 X1570]: 27.27/4.51 (in( 27.27/4.51 X1570, 27.27/4.51 powerset( 27.27/4.51 X1568)) => 27.27/4.51 (![X1572]: 27.27/4.51 (in( 27.27/4.51 X1572, 27.27/4.51 X1568) => 27.27/4.51 (in( 27.27/4.51 X1572, 27.27/4.51 X1570) => 27.27/4.51 in( 27.27/4.51 X1572, 27.27/4.51 setminus( 27.27/4.51 X1568, 27.27/4.51 setminus( 27.27/4.51 X1568, 27.27/4.51 X1570)))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1574, 27.27/4.51 X1576]: 27.27/4.51 (in( 27.27/4.51 X1576, 27.27/4.51 powerset( 27.27/4.51 X1574)) => 27.27/4.51 (![X1578]: 27.27/4.51 (in( 27.27/4.51 X1578, 27.27/4.51 X1574) => 27.27/4.51 (in( 27.27/4.51 X1578, 27.27/4.51 setminus( 27.27/4.51 X1574, 27.27/4.51 setminus( 27.27/4.51 X1574, 27.27/4.51 X1576))) => 27.27/4.51 in( 27.27/4.51 X1578, 27.27/4.51 X1576)))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1580, 27.27/4.51 X1582]: 27.27/4.51 (in( 27.27/4.51 X1582, 27.27/4.51 powerset( 27.27/4.51 X1580)) => 27.27/4.51 subset( 27.27/4.51 X1582, 27.27/4.51 setminus( 27.27/4.51 X1580, 27.27/4.51 setminus( 27.27/4.51 X1580, 27.27/4.51 X1582))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1584, 27.27/4.51 X1586]: 27.27/4.51 (in( 27.27/4.51 X1586, 27.27/4.51 powerset( 27.27/4.51 X1584)) => 27.27/4.51 subset( 27.27/4.51 setminus( 27.27/4.51 X1584, 27.27/4.51 setminus( 27.27/4.51 X1584, 27.27/4.51 X1586)), 27.27/4.51 X1586))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1588, 27.27/4.51 X1590]: 27.27/4.51 (in( 27.27/4.51 X1590, 27.27/4.51 powerset( 27.27/4.51 X1588)) => 27.27/4.51 (X1590 = 27.27/4.51 setminus( 27.27/4.51 X1588, 27.27/4.51 setminus( 27.27/4.51 X1588, 27.27/4.51 X1590))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1592, 27.27/4.51 X1594]: 27.27/4.51 (in( 27.27/4.51 X1594, 27.27/4.51 powerset( 27.27/4.51 X1592)) => 27.27/4.51 (![X1596]: 27.27/4.51 (in( 27.27/4.51 X1596, 27.27/4.51 powerset( 27.27/4.51 X1592)) => 27.27/4.51 (![X1598]: 27.27/4.51 (in( 27.27/4.51 X1598, 27.27/4.51 X1592) => 27.27/4.51 (in( 27.27/4.51 X1598, 27.27/4.51 setminus( 27.27/4.51 X1592, 27.27/4.51 X1594)) => 27.27/4.51 (~ 27.27/4.51 in( 27.27/4.51 X1598, 27.27/4.51 binintersect( 27.27/4.51 X1594, 27.27/4.51 X1596)))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1600, 27.27/4.51 X1602]: 27.27/4.51 (in( 27.27/4.51 X1602, 27.27/4.51 powerset( 27.27/4.51 X1600)) => 27.27/4.51 (![X1604]: 27.27/4.51 (in( 27.27/4.51 X1604, 27.27/4.51 powerset( 27.27/4.51 X1600)) => 27.27/4.51 (![X1606]: 27.27/4.51 (in( 27.27/4.51 X1606, 27.27/4.51 X1600) => 27.27/4.51 (in( 27.27/4.51 X1606, 27.27/4.51 setminus( 27.27/4.51 X1600, 27.27/4.51 X1602)) => 27.27/4.51 in( 27.27/4.51 X1606, 27.27/4.51 setminus( 27.27/4.51 X1600, 27.27/4.51 binintersect( 27.27/4.51 X1602, 27.27/4.51 X1604)))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1608, 27.27/4.51 X1610]: 27.27/4.51 (in( 27.27/4.51 X1610, 27.27/4.51 powerset( 27.27/4.51 X1608)) => 27.27/4.51 (![X1612]: 27.27/4.51 (in( 27.27/4.51 X1612, 27.27/4.51 powerset( 27.27/4.51 X1608)) => 27.27/4.51 subset( 27.27/4.51 setminus( 27.27/4.51 X1608, 27.27/4.51 X1610), 27.27/4.51 setminus( 27.27/4.51 X1608, 27.27/4.51 binintersect( 27.27/4.51 X1610, 27.27/4.51 X1612))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1614, 27.27/4.51 X1616]: 27.27/4.51 (in( 27.27/4.51 X1616, 27.27/4.51 powerset( 27.27/4.51 X1614)) => 27.27/4.51 (![X1618]: 27.27/4.51 (in( 27.27/4.51 X1618, 27.27/4.51 powerset( 27.27/4.51 X1614)) => 27.27/4.51 in( 27.27/4.51 setminus( 27.27/4.51 X1614, 27.27/4.51 X1616), 27.27/4.51 powerset( 27.27/4.51 setminus( 27.27/4.51 X1614, 27.27/4.51 binintersect( 27.27/4.51 X1616, 27.27/4.51 X1618)))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1620, 27.27/4.51 X1622]: 27.27/4.51 (in( 27.27/4.51 X1622, 27.27/4.51 powerset( 27.27/4.51 X1620)) => 27.27/4.51 (![X1624]: 27.27/4.51 (in( 27.27/4.51 X1624, 27.27/4.51 powerset( 27.27/4.51 X1620)) => 27.27/4.51 (subset( 27.27/4.51 X1622, 27.27/4.51 setminus( 27.27/4.51 X1620, 27.27/4.51 X1624)) => 27.27/4.51 (![X1626]: 27.27/4.51 (in( 27.27/4.51 X1626, 27.27/4.51 X1620) => 27.27/4.51 (in( 27.27/4.51 X1626, 27.27/4.51 X1624) => 27.27/4.51 in( 27.27/4.51 X1626, 27.27/4.51 setminus( 27.27/4.51 X1620, 27.27/4.51 X1622)))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1628, 27.27/4.51 X1630]: 27.27/4.51 (in( 27.27/4.51 X1630, 27.27/4.51 powerset( 27.27/4.51 X1628)) => 27.27/4.51 (![X1632]: 27.27/4.51 (in( 27.27/4.51 X1632, 27.27/4.51 powerset( 27.27/4.51 X1628)) => 27.27/4.51 (subset( 27.27/4.51 X1630, 27.27/4.51 setminus( 27.27/4.51 X1628, 27.27/4.51 X1632)) => 27.27/4.51 subset( 27.27/4.51 X1632, 27.27/4.51 setminus( 27.27/4.51 X1628, 27.27/4.51 X1630))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1634, 27.27/4.51 X1636]: 27.27/4.51 (in( 27.27/4.51 X1636, 27.27/4.51 powerset( 27.27/4.51 X1634)) => 27.27/4.51 (![X1638]: 27.27/4.51 (in( 27.27/4.51 X1638, 27.27/4.51 powerset( 27.27/4.51 X1634)) => 27.27/4.51 (![X1640]: 27.27/4.51 (in( 27.27/4.51 X1640, 27.27/4.51 X1634) => 27.27/4.51 (( 27.27/4.51 ~ 27.27/4.51 in( 27.27/4.51 X1640, 27.27/4.51 binunion( 27.27/4.51 X1636, 27.27/4.51 X1638))) => 27.27/4.51 (~ 27.27/4.51 in( 27.27/4.51 X1640, 27.27/4.51 X1636))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1642, 27.27/4.51 X1644]: 27.27/4.51 (in( 27.27/4.51 X1644, 27.27/4.51 powerset( 27.27/4.51 X1642)) => 27.27/4.51 (![X1646]: 27.27/4.51 (in( 27.27/4.51 X1646, 27.27/4.51 powerset( 27.27/4.51 X1642)) => 27.27/4.51 (![X1648]: 27.27/4.51 (in( 27.27/4.51 X1648, 27.27/4.51 X1642) => 27.27/4.51 (( 27.27/4.51 ~ 27.27/4.51 in( 27.27/4.51 X1648, 27.27/4.51 binunion( 27.27/4.51 X1644, 27.27/4.51 X1646))) => 27.27/4.51 (~ 27.27/4.51 in( 27.27/4.51 X1648, 27.27/4.51 X1646))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1650, 27.27/4.51 X1652]: 27.27/4.51 (in( 27.27/4.51 X1652, 27.27/4.51 powerset( 27.27/4.51 X1650)) => 27.27/4.51 (![X1654]: 27.27/4.51 (in( 27.27/4.51 X1654, 27.27/4.51 powerset( 27.27/4.51 X1650)) => 27.27/4.51 (![X1656]: 27.27/4.51 (in( 27.27/4.51 X1656, 27.27/4.51 powerset( 27.27/4.51 X1650)) => 27.27/4.51 (![X1658]: 27.27/4.51 (in( 27.27/4.51 X1658, 27.27/4.51 X1650) => 27.27/4.51 (in( 27.27/4.51 X1658, 27.27/4.51 binintersect( 27.27/4.51 X1652, 27.27/4.51 X1654)) => 27.27/4.51 in( 27.27/4.51 X1658, 27.27/4.51 binunion( 27.27/4.51 X1652, 27.27/4.51 X1656))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1660, 27.27/4.51 X1662]: 27.27/4.51 (in( 27.27/4.51 X1662, 27.27/4.51 powerset( 27.27/4.51 X1660)) => 27.27/4.51 (![X1664]: 27.27/4.51 (in( 27.27/4.51 X1664, 27.27/4.51 powerset( 27.27/4.51 X1660)) => 27.27/4.51 (![X1666]: 27.27/4.51 (in( 27.27/4.51 X1666, 27.27/4.51 powerset( 27.27/4.51 X1660)) => 27.27/4.51 (![X1668]: 27.27/4.51 (in( 27.27/4.51 X1668, 27.27/4.51 X1660) => 27.27/4.51 (in( 27.27/4.51 X1668, 27.27/4.51 binintersect( 27.27/4.51 X1662, 27.27/4.51 X1664)) => 27.27/4.51 in( 27.27/4.51 X1668, 27.27/4.51 binunion( 27.27/4.51 X1664, 27.27/4.51 X1666))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1670, 27.27/4.51 X1672]: 27.27/4.51 (in( 27.27/4.51 X1672, 27.27/4.51 powerset( 27.27/4.51 X1670)) => 27.27/4.51 (![X1674]: 27.27/4.51 (in( 27.27/4.51 X1674, 27.27/4.51 powerset( 27.27/4.51 X1670)) => 27.27/4.51 (![X1676]: 27.27/4.51 (in( 27.27/4.51 X1676, 27.27/4.51 powerset( 27.27/4.51 X1670)) => 27.27/4.51 (![X1678]: 27.27/4.51 (in( 27.27/4.51 X1678, 27.27/4.51 X1670) => 27.27/4.51 (in( 27.27/4.51 X1678, 27.27/4.51 binintersect( 27.27/4.51 X1672, 27.27/4.51 X1674)) => 27.27/4.51 in( 27.27/4.51 X1678, 27.27/4.51 binintersect( 27.27/4.51 binunion( 27.27/4.51 X1672, 27.27/4.51 X1676), 27.27/4.51 binunion( 27.27/4.51 X1674, 27.27/4.51 X1676)))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1680, 27.27/4.51 X1682]: 27.27/4.51 (in( 27.27/4.51 X1682, 27.27/4.51 powerset( 27.27/4.51 X1680)) => 27.27/4.51 (![X1684]: 27.27/4.51 (in( 27.27/4.51 X1684, 27.27/4.51 powerset( 27.27/4.51 X1680)) => 27.27/4.51 (![X1686]: 27.27/4.51 (in( 27.27/4.51 X1686, 27.27/4.51 powerset( 27.27/4.51 X1680)) => 27.27/4.51 in( 27.27/4.51 binintersect( 27.27/4.51 X1682, 27.27/4.51 X1684), 27.27/4.51 powerset( 27.27/4.51 binintersect( 27.27/4.51 binunion( 27.27/4.51 X1682, 27.27/4.51 X1686), 27.27/4.51 binunion( 27.27/4.51 X1684, 27.27/4.51 X1686)))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1688, 27.27/4.51 X1690]: 27.27/4.51 (in( 27.27/4.51 X1690, 27.27/4.51 powerset( 27.27/4.51 X1688)) => 27.27/4.51 (![X1692]: 27.27/4.51 (in( 27.27/4.51 X1692, 27.27/4.51 powerset( 27.27/4.51 X1688)) => 27.27/4.51 (![X1694]: 27.27/4.51 (in( 27.27/4.51 X1694, 27.27/4.51 X1688) => 27.27/4.51 (in( 27.27/4.51 X1694, 27.27/4.51 setminus( 27.27/4.51 X1688, 27.27/4.51 binunion( 27.27/4.51 X1690, 27.27/4.51 X1692))) => 27.27/4.51 (~ 27.27/4.51 in( 27.27/4.51 X1694, 27.27/4.51 X1690))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1696, 27.27/4.51 X1698]: 27.27/4.51 (in( 27.27/4.51 X1698, 27.27/4.51 powerset( 27.27/4.51 X1696)) => 27.27/4.51 (![X1700]: 27.27/4.51 (in( 27.27/4.51 X1700, 27.27/4.51 powerset( 27.27/4.51 X1696)) => 27.27/4.51 (![X1702]: 27.27/4.51 (in( 27.27/4.51 X1702, 27.27/4.51 X1696) => 27.27/4.51 (in( 27.27/4.51 X1702, 27.27/4.51 setminus( 27.27/4.51 X1696, 27.27/4.51 binunion( 27.27/4.51 X1698, 27.27/4.51 X1700))) => 27.27/4.51 in( 27.27/4.51 X1702, 27.27/4.51 setminus( 27.27/4.51 X1696, 27.27/4.51 X1698))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1704, 27.27/4.51 X1706]: 27.27/4.51 (in( 27.27/4.51 X1706, 27.27/4.51 powerset( 27.27/4.51 X1704)) => 27.27/4.51 (![X1708]: 27.27/4.51 (in( 27.27/4.51 X1708, 27.27/4.51 powerset( 27.27/4.51 X1704)) => 27.27/4.51 (![X1710:$o, 27.27/4.51 X1712]: 27.27/4.51 (in( 27.27/4.51 X1712, 27.27/4.51 X1704) => 27.27/4.51 (in( 27.27/4.51 X1712, 27.27/4.51 binunion( 27.27/4.51 X1706, 27.27/4.51 X1708)) => 27.27/4.51 (( 27.27/4.51 in( 27.27/4.51 X1712, 27.27/4.51 X1706) => 27.27/4.51 X1710) => 27.27/4.51 (( 27.27/4.51 in( 27.27/4.51 X1712, 27.27/4.51 X1708) => 27.27/4.51 X1710) => 27.27/4.51 X1710))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1714, 27.27/4.51 X1716]: 27.27/4.51 (in( 27.27/4.51 X1716, 27.27/4.51 powerset( 27.27/4.51 X1714)) => 27.27/4.51 (![X1718]: 27.27/4.51 (in( 27.27/4.51 X1718, 27.27/4.51 powerset( 27.27/4.51 X1714)) => 27.27/4.51 (![X1720]: 27.27/4.51 (in( 27.27/4.51 X1720, 27.27/4.51 X1714) => 27.27/4.51 (( 27.27/4.51 ~ 27.27/4.51 in( 27.27/4.51 X1720, 27.27/4.51 X1716)) => 27.27/4.51 (( 27.27/4.51 ~ 27.27/4.51 in( 27.27/4.51 X1720, 27.27/4.51 X1718)) => 27.27/4.51 (~ 27.27/4.51 in( 27.27/4.51 X1720, 27.27/4.51 binunion( 27.27/4.51 X1716, 27.27/4.51 X1718))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1722, 27.27/4.51 X1724]: 27.27/4.51 (in( 27.27/4.51 X1724, 27.27/4.51 powerset( 27.27/4.51 X1722)) => 27.27/4.51 (![X1726]: 27.27/4.51 (in( 27.27/4.51 X1726, 27.27/4.51 powerset( 27.27/4.51 X1722)) => 27.27/4.51 (![X1728]: 27.27/4.51 (in( 27.27/4.51 X1728, 27.27/4.51 X1722) => 27.27/4.51 (in( 27.27/4.51 X1728, 27.27/4.51 setminus( 27.27/4.51 X1722, 27.27/4.51 binunion( 27.27/4.51 X1724, 27.27/4.51 X1726))) => 27.27/4.51 in( 27.27/4.51 X1728, 27.27/4.51 setminus( 27.27/4.51 X1722, 27.27/4.51 X1724))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1730, 27.27/4.51 X1732]: 27.27/4.51 (in( 27.27/4.51 X1732, 27.27/4.51 powerset( 27.27/4.51 X1730)) => 27.27/4.51 (![X1734]: 27.27/4.51 (in( 27.27/4.51 X1734, 27.27/4.51 powerset( 27.27/4.51 X1730)) => 27.27/4.51 in( 27.27/4.51 setminus( 27.27/4.51 X1730, 27.27/4.51 binunion( 27.27/4.51 X1732, 27.27/4.51 X1734)), 27.27/4.51 powerset( 27.27/4.51 setminus( 27.27/4.51 X1730, 27.27/4.51 X1732))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1736, 27.27/4.51 X1738]: 27.27/4.51 (in( 27.27/4.51 X1738, 27.27/4.51 powerset( 27.27/4.51 X1736)) => 27.27/4.51 (![X1740]: 27.27/4.51 (in( 27.27/4.51 X1740, 27.27/4.51 powerset( 27.27/4.51 X1736)) => 27.27/4.51 (![X1742]: 27.27/4.51 (in( 27.27/4.51 X1742, 27.27/4.51 X1736) => 27.27/4.51 (in( 27.27/4.51 X1742, 27.27/4.51 setminus( 27.27/4.51 X1736, 27.27/4.51 binunion( 27.27/4.51 X1738, 27.27/4.51 X1740))) => 27.27/4.51 in( 27.27/4.51 X1742, 27.27/4.51 setminus( 27.27/4.51 X1736, 27.27/4.51 X1740))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1744, 27.27/4.51 X1746]: 27.27/4.51 (in( 27.27/4.51 X1746, 27.27/4.51 powerset( 27.27/4.51 X1744)) => 27.27/4.51 (![X1748]: 27.27/4.51 (in( 27.27/4.51 X1748, 27.27/4.51 powerset( 27.27/4.51 X1744)) => 27.27/4.51 (![X1750]: 27.27/4.51 (in( 27.27/4.51 X1750, 27.27/4.51 X1744) => 27.27/4.51 (in( 27.27/4.51 X1750, 27.27/4.51 setminus( 27.27/4.51 X1744, 27.27/4.51 binintersect( 27.27/4.51 X1746, 27.27/4.51 X1748))) => 27.27/4.51 in( 27.27/4.51 X1750, 27.27/4.51 binunion( 27.27/4.51 setminus( 27.27/4.51 X1744, 27.27/4.51 X1746), 27.27/4.51 setminus( 27.27/4.51 X1744, 27.27/4.51 X1748)))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1752, 27.27/4.51 X1754]: 27.27/4.51 (in( 27.27/4.51 X1754, 27.27/4.51 powerset( 27.27/4.51 X1752)) => 27.27/4.51 (![X1756]: 27.27/4.51 (in( 27.27/4.51 X1756, 27.27/4.51 powerset( 27.27/4.51 X1752)) => 27.27/4.51 (![X1758]: 27.27/4.51 (in( 27.27/4.51 X1758, 27.27/4.51 X1752) => 27.27/4.51 (in( 27.27/4.51 X1758, 27.27/4.51 binunion( 27.27/4.51 setminus( 27.27/4.51 X1752, 27.27/4.51 X1754), 27.27/4.51 setminus( 27.27/4.51 X1752, 27.27/4.51 X1756))) => 27.27/4.51 in( 27.27/4.51 X1758, 27.27/4.51 setminus( 27.27/4.51 X1752, 27.27/4.51 binintersect( 27.27/4.51 X1754, 27.27/4.51 X1756)))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1760, 27.27/4.51 X1762]: 27.27/4.51 (in( 27.27/4.51 X1762, 27.27/4.51 powerset( 27.27/4.51 X1760)) => 27.27/4.51 (![X1764]: 27.27/4.51 (in( 27.27/4.51 X1764, 27.27/4.51 powerset( 27.27/4.51 X1760)) => 27.27/4.51 (setminus( 27.27/4.51 X1760, 27.27/4.51 binintersect( 27.27/4.51 X1762, 27.27/4.51 X1764)) = 27.27/4.51 binunion( 27.27/4.51 setminus( 27.27/4.51 X1760, 27.27/4.51 X1762), 27.27/4.51 setminus( 27.27/4.51 X1760, 27.27/4.51 X1764))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1766, 27.27/4.51 X1768]: 27.27/4.51 (in( 27.27/4.51 X1768, 27.27/4.51 powerset( 27.27/4.51 X1766)) => 27.27/4.51 (![X1770]: 27.27/4.51 (in( 27.27/4.51 X1770, 27.27/4.51 powerset( 27.27/4.51 X1766)) => 27.27/4.51 (![X1772]: 27.27/4.51 (in( 27.27/4.51 X1772, 27.27/4.51 X1766) => 27.27/4.51 (in( 27.27/4.51 X1772, 27.27/4.51 setminus( 27.27/4.51 X1766, 27.27/4.51 binunion( 27.27/4.51 X1768, 27.27/4.51 X1770))) => 27.27/4.51 in( 27.27/4.51 X1772, 27.27/4.51 binintersect( 27.27/4.51 setminus( 27.27/4.51 X1766, 27.27/4.51 X1768), 27.27/4.51 setminus( 27.27/4.51 X1766, 27.27/4.51 X1770)))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1774, 27.27/4.51 X1776]: 27.27/4.51 (in( 27.27/4.51 X1776, 27.27/4.51 powerset( 27.27/4.51 X1774)) => 27.27/4.51 (![X1778]: 27.27/4.51 (in( 27.27/4.51 X1778, 27.27/4.51 powerset( 27.27/4.51 X1774)) => 27.27/4.51 (![X1780]: 27.27/4.51 (in( 27.27/4.51 X1780, 27.27/4.51 X1774) => 27.27/4.51 (in( 27.27/4.51 X1780, 27.27/4.51 setminus( 27.27/4.51 X1774, 27.27/4.51 X1776)) => 27.27/4.51 (in( 27.27/4.51 X1780, 27.27/4.51 setminus( 27.27/4.51 X1774, 27.27/4.51 X1778)) => 27.27/4.51 in( 27.27/4.51 X1780, 27.27/4.51 setminus( 27.27/4.51 X1774, 27.27/4.51 binunion( 27.27/4.51 X1776, 27.27/4.51 X1778))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1782, 27.27/4.51 X1784]: 27.27/4.51 (in( 27.27/4.51 X1784, 27.27/4.51 powerset( 27.27/4.51 X1782)) => 27.27/4.51 (![X1786]: 27.27/4.51 (in( 27.27/4.51 X1786, 27.27/4.51 powerset( 27.27/4.51 X1782)) => 27.27/4.51 (![X1788]: 27.27/4.51 (in( 27.27/4.51 X1788, 27.27/4.51 X1782) => 27.27/4.51 (in( 27.27/4.51 X1788, 27.27/4.51 binintersect( 27.27/4.51 setminus( 27.27/4.51 X1782, 27.27/4.51 X1784), 27.27/4.51 setminus( 27.27/4.51 X1782, 27.27/4.51 X1786))) => 27.27/4.51 in( 27.27/4.51 X1788, 27.27/4.51 setminus( 27.27/4.51 X1782, 27.27/4.51 binunion( 27.27/4.51 X1784, 27.27/4.51 X1786)))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1790, 27.27/4.51 X1792]: 27.27/4.51 (in( 27.27/4.51 X1792, 27.27/4.51 powerset( 27.27/4.51 X1790)) => 27.27/4.51 (![X1794]: 27.27/4.51 (in( 27.27/4.51 X1794, 27.27/4.51 powerset( 27.27/4.51 X1790)) => 27.27/4.51 (setminus( 27.27/4.51 X1790, 27.27/4.51 binunion( 27.27/4.51 X1792, 27.27/4.51 X1794)) = 27.27/4.51 binintersect( 27.27/4.51 setminus( 27.27/4.51 X1790, 27.27/4.51 X1792), 27.27/4.51 setminus( 27.27/4.51 X1790, 27.27/4.51 X1794))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1796, 27.27/4.51 X1798]: 27.27/4.51 (in( 27.27/4.51 X1798, 27.27/4.51 powerset( 27.27/4.51 X1796)) => 27.27/4.51 (![X1800]: 27.27/4.51 (in( 27.27/4.51 X1800, 27.27/4.51 powerset( 27.27/4.51 X1796)) => 27.27/4.51 (![X1802]: 27.27/4.51 (in( 27.27/4.51 X1802, 27.27/4.51 binintersect( 27.27/4.51 X1798, 27.27/4.51 X1800)) => 27.27/4.51 in( 27.27/4.51 X1802, 27.27/4.51 X1796))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1804, 27.27/4.51 X1806]: 27.27/4.51 (in( 27.27/4.51 X1806, 27.27/4.51 powerset( 27.27/4.51 X1804)) => 27.27/4.51 (![X1808]: 27.27/4.51 (in( 27.27/4.51 X1808, 27.27/4.51 powerset( 27.27/4.51 X1804)) => 27.27/4.51 (![X1810]: 27.27/4.51 (in( 27.27/4.51 X1810, 27.27/4.51 powerset( 27.27/4.51 X1804)) => 27.27/4.51 (subset( 27.27/4.51 X1806, 27.27/4.51 X1810) => 27.27/4.51 subset( 27.27/4.51 binintersect( 27.27/4.51 X1806, 27.27/4.51 X1808), 27.27/4.51 X1810)))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1812, 27.27/4.51 X1814]: 27.27/4.51 (in( 27.27/4.51 X1814, 27.27/4.51 powerset( 27.27/4.51 X1812)) => 27.27/4.51 (![X1816]: 27.27/4.51 (in( 27.27/4.51 X1816, 27.27/4.51 powerset( 27.27/4.51 X1812)) => 27.27/4.51 (![X1818]: 27.27/4.51 (in( 27.27/4.51 X1818, 27.27/4.51 powerset( 27.27/4.51 X1812)) => 27.27/4.51 (subset( 27.27/4.51 X1816, 27.27/4.51 X1818) => 27.27/4.51 subset( 27.27/4.51 binintersect( 27.27/4.51 X1814, 27.27/4.51 X1816), 27.27/4.51 X1818)))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1820, 27.27/4.51 X1822]: 27.27/4.51 (in( 27.27/4.51 X1822, 27.27/4.51 powerset( 27.27/4.51 X1820)) => 27.27/4.51 (![X1824]: 27.27/4.51 (in( 27.27/4.51 X1824, 27.27/4.51 powerset( 27.27/4.51 X1820)) => 27.27/4.51 (![X1826]: 27.27/4.51 (in( 27.27/4.51 X1826, 27.27/4.51 powerset( 27.27/4.51 X1820)) => 27.27/4.51 (subset( 27.27/4.51 X1822, 27.27/4.51 X1824) => 27.27/4.51 (subset( 27.27/4.51 X1822, 27.27/4.51 X1826) => 27.27/4.51 subset( 27.27/4.51 X1822, 27.27/4.51 binintersect( 27.27/4.51 X1824, 27.27/4.51 X1826)))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1828, 27.27/4.51 X1830]: 27.27/4.51 (in( 27.27/4.51 X1830, 27.27/4.51 powerset( 27.27/4.51 X1828)) => 27.27/4.51 (![X1832]: 27.27/4.51 (in( 27.27/4.51 X1832, 27.27/4.51 powerset( 27.27/4.51 X1828)) => 27.27/4.51 (![X1834]: 27.27/4.51 (in( 27.27/4.51 X1834, 27.27/4.51 powerset( 27.27/4.51 X1828)) => 27.27/4.51 (![X1836]: 27.27/4.51 (in( 27.27/4.51 X1836, 27.27/4.51 powerset( 27.27/4.51 X1828)) => 27.27/4.51 (subset( 27.27/4.51 X1830, 27.27/4.51 X1834) => 27.27/4.51 (subset( 27.27/4.51 X1832, 27.27/4.51 X1836) => 27.27/4.51 subset( 27.27/4.51 binintersect( 27.27/4.51 X1830, 27.27/4.51 X1832), 27.27/4.51 binintersect( 27.27/4.51 X1834, 27.27/4.51 X1836)))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1838, 27.27/4.51 X1840]: 27.27/4.51 (in( 27.27/4.51 X1840, 27.27/4.51 powerset( 27.27/4.51 X1838)) => 27.27/4.51 (![X1842]: 27.27/4.51 (in( 27.27/4.51 X1842, 27.27/4.51 powerset( 27.27/4.51 X1838)) => 27.27/4.51 in( 27.27/4.51 setminus( 27.27/4.51 X1838, 27.27/4.51 X1840), 27.27/4.51 powerset( 27.27/4.51 setminus( 27.27/4.51 X1838, 27.27/4.51 binintersect( 27.27/4.51 X1840, 27.27/4.51 X1842)))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1844, 27.27/4.51 X1846]: 27.27/4.51 (in( 27.27/4.51 X1846, 27.27/4.51 powerset( 27.27/4.51 X1844)) => 27.27/4.51 (![X1848]: 27.27/4.51 (in( 27.27/4.51 X1848, 27.27/4.51 powerset( 27.27/4.51 X1844)) => 27.27/4.51 (![X1850]: 27.27/4.51 (in( 27.27/4.51 X1850, 27.27/4.51 powerset( 27.27/4.51 X1844)) => 27.27/4.51 (![X1852]: 27.27/4.51 (in( 27.27/4.51 X1852, 27.27/4.51 powerset( 27.27/4.51 X1844)) => 27.27/4.51 (setminus( 27.27/4.51 X1844, 27.27/4.51 binintersect( 27.27/4.51 binunion( 27.27/4.51 X1846, 27.27/4.51 X1848), 27.27/4.51 binunion( 27.27/4.51 X1850, 27.27/4.51 X1852))) = 27.27/4.51 binunion( 27.27/4.51 binintersect( 27.27/4.51 setminus( 27.27/4.51 X1844, 27.27/4.51 X1846), 27.27/4.51 setminus( 27.27/4.51 X1844, 27.27/4.51 X1848)), 27.27/4.51 binintersect( 27.27/4.51 setminus( 27.27/4.51 X1844, 27.27/4.51 X1850), 27.27/4.51 setminus( 27.27/4.51 X1844, 27.27/4.51 X1852)))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1854, 27.27/4.51 X1856]: 27.27/4.51 (in( 27.27/4.51 X1856, 27.27/4.51 powerset( 27.27/4.51 X1854)) => 27.27/4.51 (![X1858]: 27.27/4.51 (in( 27.27/4.51 X1858, 27.27/4.51 powerset( 27.27/4.51 X1854)) => 27.27/4.51 (![X1860]: 27.27/4.51 (in( 27.27/4.51 X1860, 27.27/4.51 powerset( 27.27/4.51 X1854)) => 27.27/4.51 in( 27.27/4.51 binintersect( 27.27/4.51 X1856, 27.27/4.51 X1858), 27.27/4.51 powerset( 27.27/4.51 binintersect( 27.27/4.51 binunion( 27.27/4.51 X1856, 27.27/4.51 X1860), 27.27/4.51 binunion( 27.27/4.51 X1858, 27.27/4.51 X1860)))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1862, 27.27/4.51 X1864]: 27.27/4.51 (in( 27.27/4.51 X1864, 27.27/4.51 powerset( 27.27/4.51 X1862)) => 27.27/4.51 (![X1866]: 27.27/4.51 (in( 27.27/4.51 X1866, 27.27/4.51 powerset( 27.27/4.51 X1862)) => 27.27/4.51 (subset( 27.27/4.51 X1864, 27.27/4.51 setminus( 27.27/4.51 X1862, 27.27/4.51 X1866)) => 27.27/4.51 subset( 27.27/4.51 X1866, 27.27/4.51 setminus( 27.27/4.51 X1862, 27.27/4.51 X1864))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1868, 27.27/4.51 X1870]: 27.27/4.51 (in( 27.27/4.51 X1870, 27.27/4.51 powerset( 27.27/4.51 X1868)) => 27.27/4.51 (![X1872]: 27.27/4.51 (in( 27.27/4.51 X1872, 27.27/4.51 powerset( 27.27/4.51 X1868)) => 27.27/4.51 in( 27.27/4.51 setminus( 27.27/4.51 X1868, 27.27/4.51 binunion( 27.27/4.51 X1870, 27.27/4.51 X1872)), 27.27/4.51 powerset( 27.27/4.51 setminus( 27.27/4.51 X1868, 27.27/4.51 X1870))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1874, 27.27/4.51 X1876]: 27.27/4.51 (breln1( 27.27/4.51 X1874, 27.27/4.51 X1876) => 27.27/4.51 (![X1878:( 27.27/4.51 ( 27.27/4.51 $i > $o))]: 27.27/4.51 (( 27.27/4.51 ![X1880]: 27.27/4.51 (in( 27.27/4.51 X1880, 27.27/4.51 X1874) => 27.27/4.51 (![X1882]: 27.27/4.51 (in( 27.27/4.51 X1882, 27.27/4.51 X1874) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X1880, 27.27/4.51 X1882), 27.27/4.51 X1876) => 27.27/4.51 X1878( 27.27/4.51 kpair( 27.27/4.51 X1880, 27.27/4.51 X1882))))))) => 27.27/4.51 (![X1884]: 27.27/4.51 (in( 27.27/4.51 X1884, 27.27/4.51 X1876) => 27.27/4.51 X1878( 27.27/4.51 X1884))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1886, 27.27/4.51 X1888]: 27.27/4.51 (in( 27.27/4.51 X1888, 27.27/4.51 breln1Set( 27.27/4.51 X1886)) => 27.27/4.51 breln1( 27.27/4.51 X1886, 27.27/4.51 X1888))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1890, 27.27/4.51 X1892, 27.27/4.51 X1894:( 27.27/4.51 ($i * $i) > 27.27/4.51 $o)]: 27.27/4.51 (( 27.27/4.51 ![X1896]: 27.27/4.51 (in( 27.27/4.51 X1896, 27.27/4.51 X1890) => 27.27/4.51 (?[X1898]: 27.27/4.51 (X1894( 27.27/4.51 X1896, 27.27/4.51 X1898) & 27.27/4.51 in( 27.27/4.51 X1898, 27.27/4.51 X1892))))) => 27.27/4.51 (![X1900]: 27.27/4.51 (in( 27.27/4.51 X1900, 27.27/4.51 breln1Set( 27.27/4.51 X1892)) => 27.27/4.51 (reflwellordering( 27.27/4.51 X1892, 27.27/4.51 X1900) => 27.27/4.51 (![X1902]: 27.27/4.51 (in( 27.27/4.51 X1902, 27.27/4.51 X1890) => 27.27/4.51 singleton( 27.27/4.51 dsetconstr( 27.27/4.51 X1892, 27.27/4.51 ^[V_53]: 27.27/4.51 (( 27.27/4.51 ![X1904]: 27.27/4.51 (in( 27.27/4.51 X1904, 27.27/4.51 X1892) => 27.27/4.51 (X1894( 27.27/4.51 X1902, 27.27/4.51 X1904) => 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 V_53, 27.27/4.51 X1904), 27.27/4.51 X1900)))) & 27.27/4.51 X1894( 27.27/4.51 X1902, 27.27/4.51 V_53))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1906, 27.27/4.51 X1908:( 27.27/4.51 ($i * $i) > 27.27/4.51 $o)]: 27.27/4.51 breln1( 27.27/4.51 X1906, 27.27/4.51 dpsetconstr( 27.27/4.51 X1906, 27.27/4.51 X1906, 27.27/4.51 ^[V_54, 27.27/4.51 V_55]: 27.27/4.51 X1908( 27.27/4.51 V_54,V_55)))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1910, 27.27/4.51 X1912]: 27.27/4.51 (breln1( 27.27/4.51 X1910, 27.27/4.51 X1912) => 27.27/4.51 (![X1914:( 27.27/4.51 ( 27.27/4.51 $i > $o))]: 27.27/4.51 (( 27.27/4.51 ![X1916]: 27.27/4.51 (in( 27.27/4.51 X1916, 27.27/4.51 X1910) => 27.27/4.51 (![X1918]: 27.27/4.51 (in( 27.27/4.51 X1918, 27.27/4.51 X1910) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X1916, 27.27/4.51 X1918), 27.27/4.51 X1912) => 27.27/4.51 X1914( 27.27/4.51 kpair( 27.27/4.51 X1916, 27.27/4.51 X1918))))))) => 27.27/4.51 (![X1920]: 27.27/4.51 (in( 27.27/4.51 X1920, 27.27/4.51 X1912) => 27.27/4.51 X1914( 27.27/4.51 X1920))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1922, 27.27/4.51 X1924]: 27.27/4.51 (breln1( 27.27/4.51 X1922, 27.27/4.51 X1924) => 27.27/4.51 (![X1926]: 27.27/4.51 (breln1( 27.27/4.51 X1922, 27.27/4.51 X1926) => 27.27/4.51 (( 27.27/4.51 ![X1928]: 27.27/4.51 (in( 27.27/4.51 X1928, 27.27/4.51 X1922) => 27.27/4.51 (![X1930]: 27.27/4.51 (in( 27.27/4.51 X1930, 27.27/4.51 X1922) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X1928, 27.27/4.51 X1930), 27.27/4.51 X1924) => 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X1928, 27.27/4.51 X1930), 27.27/4.51 X1926)))))) => 27.27/4.51 subset( 27.27/4.51 X1924, 27.27/4.51 X1926)))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1932, 27.27/4.51 X1934]: 27.27/4.51 (breln1( 27.27/4.51 X1932, 27.27/4.51 X1934) => 27.27/4.51 (![X1936]: 27.27/4.51 (breln1( 27.27/4.51 X1932, 27.27/4.51 X1936) => 27.27/4.51 (( 27.27/4.51 ![X1938]: 27.27/4.51 (in( 27.27/4.51 X1938, 27.27/4.51 X1932) => 27.27/4.51 (![X1940]: 27.27/4.51 (in( 27.27/4.51 X1940, 27.27/4.51 X1932) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X1938, 27.27/4.51 X1940), 27.27/4.51 X1934) => 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X1938, 27.27/4.51 X1940), 27.27/4.51 X1936)))))) => 27.27/4.51 (( 27.27/4.51 ![X1942]: 27.27/4.51 (in( 27.27/4.51 X1942, 27.27/4.51 X1932) => 27.27/4.51 (![X1944]: 27.27/4.51 (in( 27.27/4.51 X1944, 27.27/4.51 X1932) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X1942, 27.27/4.51 X1944), 27.27/4.51 X1936) => 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X1942, 27.27/4.51 X1944), 27.27/4.51 X1934)))))) => 27.27/4.51 (X1934 = 27.27/4.51 X1936))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1946, 27.27/4.51 X1948]: 27.27/4.51 (breln1( 27.27/4.51 X1946, 27.27/4.51 X1948) => 27.27/4.51 breln1( 27.27/4.51 X1946, 27.27/4.51 breln1invset( 27.27/4.51 X1946, 27.27/4.51 X1948)))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1950, 27.27/4.51 X1952]: 27.27/4.51 (breln1( 27.27/4.51 X1950, 27.27/4.51 X1952) => 27.27/4.51 (![X1954]: 27.27/4.51 (in( 27.27/4.51 X1954, 27.27/4.51 X1950) => 27.27/4.51 (![X1956]: 27.27/4.51 (in( 27.27/4.51 X1956, 27.27/4.51 X1950) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X1954, 27.27/4.51 X1956), 27.27/4.51 X1952) => 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X1956, 27.27/4.51 X1954), 27.27/4.51 breln1invset( 27.27/4.51 X1950, 27.27/4.51 X1952))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1958, 27.27/4.51 X1960]: 27.27/4.51 (breln1( 27.27/4.51 X1958, 27.27/4.51 X1960) => 27.27/4.51 (![X1962]: 27.27/4.51 (in( 27.27/4.51 X1962, 27.27/4.51 X1958) => 27.27/4.51 (![X1964]: 27.27/4.51 (in( 27.27/4.51 X1964, 27.27/4.51 X1958) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X1964, 27.27/4.51 X1962), 27.27/4.51 breln1invset( 27.27/4.51 X1958, 27.27/4.51 X1960)) => 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X1962, 27.27/4.51 X1964), 27.27/4.51 X1960)))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1966, 27.27/4.51 X1968]: 27.27/4.51 (breln1( 27.27/4.51 X1966, 27.27/4.51 X1968) => 27.27/4.51 (![X1970]: 27.27/4.51 (breln1( 27.27/4.51 X1966, 27.27/4.51 X1970) => 27.27/4.51 breln1( 27.27/4.51 X1966, 27.27/4.51 breln1compset( 27.27/4.51 X1966, 27.27/4.51 X1968, 27.27/4.51 X1970)))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1972, 27.27/4.51 X1974]: 27.27/4.51 (breln1( 27.27/4.51 X1972, 27.27/4.51 X1974) => 27.27/4.51 (![X1976]: 27.27/4.51 (breln1( 27.27/4.51 X1972, 27.27/4.51 X1976) => 27.27/4.51 (![X1978]: 27.27/4.51 (in( 27.27/4.51 X1978, 27.27/4.51 X1972) => 27.27/4.51 (![X1980]: 27.27/4.51 (in( 27.27/4.51 X1980, 27.27/4.51 X1972) => 27.27/4.51 (![X1982]: 27.27/4.51 (in( 27.27/4.51 X1982, 27.27/4.51 X1972) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X1978, 27.27/4.51 X1982), 27.27/4.51 X1974) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X1982, 27.27/4.51 X1980), 27.27/4.51 X1976) => 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X1978, 27.27/4.51 X1980), 27.27/4.51 breln1compset( 27.27/4.51 X1972, 27.27/4.51 X1974, 27.27/4.51 X1976)))))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1984, 27.27/4.51 X1986]: 27.27/4.51 (breln1( 27.27/4.51 X1984, 27.27/4.51 X1986) => 27.27/4.51 (![X1988]: 27.27/4.51 (breln1( 27.27/4.51 X1984, 27.27/4.51 X1988) => 27.27/4.51 (![X1990]: 27.27/4.51 (in( 27.27/4.51 X1990, 27.27/4.51 X1984) => 27.27/4.51 (![X1992]: 27.27/4.51 (in( 27.27/4.51 X1992, 27.27/4.51 X1984) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X1990, 27.27/4.51 X1992), 27.27/4.51 breln1compset( 27.27/4.51 X1984, 27.27/4.51 X1986, 27.27/4.51 X1988)) => 27.27/4.51 (?[X1994]: 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X1994, 27.27/4.51 X1992), 27.27/4.51 X1988) & 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X1990, 27.27/4.51 X1994), 27.27/4.51 X1986) & 27.27/4.51 in( 27.27/4.51 X1994, 27.27/4.51 X1984)))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X1996, 27.27/4.51 X1998]: 27.27/4.51 (breln1( 27.27/4.51 X1996, 27.27/4.51 X1998) => 27.27/4.51 (![X2000]: 27.27/4.51 (breln1( 27.27/4.51 X1996, 27.27/4.51 X2000) => 27.27/4.51 (![X2002]: 27.27/4.51 (in( 27.27/4.51 X2002, 27.27/4.51 X1996) => 27.27/4.51 (![X2004]: 27.27/4.51 (in( 27.27/4.51 X2004, 27.27/4.51 X1996) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X2002, 27.27/4.51 X2004), 27.27/4.51 breln1compset( 27.27/4.51 X1996, 27.27/4.51 X1998, 27.27/4.51 X2000)) => 27.27/4.51 (![X2006:$o]: 27.27/4.51 (( 27.27/4.51 ![X2008]: 27.27/4.51 (in( 27.27/4.51 X2008, 27.27/4.51 X1996) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X2002, 27.27/4.51 X2008), 27.27/4.51 X1998) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X2008, 27.27/4.51 X2004), 27.27/4.51 X2000) => 27.27/4.51 X2006)))) => 27.27/4.51 X2006))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2010, 27.27/4.51 X2012]: 27.27/4.51 (breln1( 27.27/4.51 X2010, 27.27/4.51 X2012) => 27.27/4.51 (![X2014]: 27.27/4.51 (breln1( 27.27/4.51 X2010, 27.27/4.51 X2014) => 27.27/4.51 breln1( 27.27/4.51 X2010, 27.27/4.51 binunion( 27.27/4.51 X2012, 27.27/4.51 X2014)))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2016, 27.27/4.51 X2018]: 27.27/4.51 (breln1( 27.27/4.51 X2016, 27.27/4.51 X2018) => 27.27/4.51 (![X2020]: 27.27/4.51 (breln1( 27.27/4.51 X2016, 27.27/4.51 X2020) => 27.27/4.51 (![X2022]: 27.27/4.51 (in( 27.27/4.51 X2022, 27.27/4.51 X2016) => 27.27/4.51 (![X2024]: 27.27/4.51 (in( 27.27/4.51 X2024, 27.27/4.51 X2016) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X2022, 27.27/4.51 X2024), 27.27/4.51 X2018) => 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X2022, 27.27/4.51 X2024), 27.27/4.51 binunion( 27.27/4.51 X2018, 27.27/4.51 X2020))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2026, 27.27/4.51 X2028]: 27.27/4.51 (breln1( 27.27/4.51 X2026, 27.27/4.51 X2028) => 27.27/4.51 (![X2030]: 27.27/4.51 (breln1( 27.27/4.51 X2026, 27.27/4.51 X2030) => 27.27/4.51 (![X2032]: 27.27/4.51 (in( 27.27/4.51 X2032, 27.27/4.51 X2026) => 27.27/4.51 (![X2034]: 27.27/4.51 (in( 27.27/4.51 X2034, 27.27/4.51 X2026) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X2032, 27.27/4.51 X2034), 27.27/4.51 X2030) => 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X2032, 27.27/4.51 X2034), 27.27/4.51 binunion( 27.27/4.51 X2028, 27.27/4.51 X2030))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2036, 27.27/4.51 X2038]: 27.27/4.51 (breln1( 27.27/4.51 X2036, 27.27/4.51 X2038) => 27.27/4.51 (![X2040]: 27.27/4.51 (breln1( 27.27/4.51 X2036, 27.27/4.51 X2040) => 27.27/4.51 (![X2042]: 27.27/4.51 (in( 27.27/4.51 X2042, 27.27/4.51 X2036) => 27.27/4.51 (![X2044]: 27.27/4.51 (in( 27.27/4.51 X2044, 27.27/4.51 X2036) => 27.27/4.51 (( 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X2042, 27.27/4.51 X2044), 27.27/4.51 X2038) | 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X2042, 27.27/4.51 X2044), 27.27/4.51 X2040)) => 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X2042, 27.27/4.51 X2044), 27.27/4.51 binunion( 27.27/4.51 X2038, 27.27/4.51 X2040))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2046, 27.27/4.51 X2048]: 27.27/4.51 (breln1( 27.27/4.51 X2046, 27.27/4.51 X2048) => 27.27/4.51 (![X2050]: 27.27/4.51 (breln1( 27.27/4.51 X2046, 27.27/4.51 X2050) => 27.27/4.51 (![X2052]: 27.27/4.51 (in( 27.27/4.51 X2052, 27.27/4.51 X2046) => 27.27/4.51 (![X2054]: 27.27/4.51 (in( 27.27/4.51 X2054, 27.27/4.51 X2046) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X2052, 27.27/4.51 X2054), 27.27/4.51 binunion( 27.27/4.51 X2048, 27.27/4.51 X2050)) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X2052, 27.27/4.51 X2054), 27.27/4.51 X2048) | 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X2052, 27.27/4.51 X2054), 27.27/4.51 X2050))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2056, 27.27/4.51 X2058]: 27.27/4.51 (breln1( 27.27/4.51 X2056, 27.27/4.51 X2058) => 27.27/4.51 (![X2060]: 27.27/4.51 (breln1( 27.27/4.51 X2056, 27.27/4.51 X2060) => 27.27/4.51 (![X2062]: 27.27/4.51 (in( 27.27/4.51 X2062, 27.27/4.51 X2056) => 27.27/4.51 (![X2064]: 27.27/4.51 (in( 27.27/4.51 X2064, 27.27/4.51 X2056) => 27.27/4.51 (in( 27.27/4.51 kpair( 27.27/4.51 X2062, 27.27/4.51 X2064), 27.27/4.51 binunion( 27.27/4.51 X2058, 27.27/4.51 X2060)) => 27.27/4.51 (![X2066:$o]: 27.27/4.51 (( 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X2062, 27.27/4.51 X2064), 27.27/4.51 X2058) => 27.27/4.51 X2066) => 27.27/4.51 (( 27.27/4.51 in( 27.27/4.51 kpair( 27.27/4.51 X2062, 27.27/4.51 X2064), 27.27/4.51 X2060) => 27.27/4.51 X2066) => 27.27/4.51 X2066)))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2068, 27.27/4.51 X2070]: 27.27/4.51 (breln1( 27.27/4.51 X2068, 27.27/4.51 X2070) => 27.27/4.51 (![X2072]: 27.27/4.51 (breln1( 27.27/4.51 X2068, 27.27/4.51 X2072) => 27.27/4.51 (binunion( 27.27/4.51 X2070, 27.27/4.51 X2072) = 27.27/4.51 binunion( 27.27/4.51 X2072, 27.27/4.51 X2070)))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2074, 27.27/4.51 X2076]: 27.27/4.51 (breln1( 27.27/4.51 X2074, 27.27/4.51 X2076) => 27.27/4.51 (X2076 = 27.27/4.51 breln1invset( 27.27/4.51 X2074, 27.27/4.51 breln1invset( 27.27/4.51 X2074, 27.27/4.51 X2076))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2078, 27.27/4.51 X2080]: 27.27/4.51 (breln1( 27.27/4.51 X2078, 27.27/4.51 X2080) => 27.27/4.51 (![X2082]: 27.27/4.51 (breln1( 27.27/4.51 X2078, 27.27/4.51 X2082) => 27.27/4.51 (breln1invset( 27.27/4.51 X2078, 27.27/4.51 breln1compset( 27.27/4.51 X2078, 27.27/4.51 X2080, 27.27/4.51 X2082)) = 27.27/4.51 breln1compset( 27.27/4.51 X2078, 27.27/4.51 breln1invset( 27.27/4.51 X2078, 27.27/4.51 X2082), 27.27/4.51 breln1invset( 27.27/4.51 X2078, 27.27/4.51 X2080))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2084, 27.27/4.51 X2086]: 27.27/4.51 (breln1( 27.27/4.51 X2084, 27.27/4.51 X2086) => 27.27/4.51 (![X2088]: 27.27/4.51 (breln1( 27.27/4.51 X2084, 27.27/4.51 X2088) => 27.27/4.51 (![X2090]: 27.27/4.51 (breln1( 27.27/4.51 X2084, 27.27/4.51 X2090) => 27.27/4.51 (breln1compset( 27.27/4.51 X2084, 27.27/4.51 binunion( 27.27/4.51 X2086, 27.27/4.51 X2088), 27.27/4.51 X2090) = 27.27/4.51 binunion( 27.27/4.51 breln1compset( 27.27/4.51 X2084, 27.27/4.51 X2086, 27.27/4.51 X2090), 27.27/4.51 breln1compset( 27.27/4.51 X2084, 27.27/4.51 X2088, 27.27/4.51 X2090))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2092, 27.27/4.51 X2094]: 27.27/4.51 (breln1( 27.27/4.51 X2092, 27.27/4.51 X2094) => 27.27/4.51 (![X2096]: 27.27/4.51 (breln1( 27.27/4.51 X2092, 27.27/4.51 X2096) => 27.27/4.51 (![X2098]: 27.27/4.51 (breln1( 27.27/4.51 X2092, 27.27/4.51 X2098) => 27.27/4.51 (breln1compset( 27.27/4.51 X2092, 27.27/4.51 binunion( 27.27/4.51 X2094, 27.27/4.51 X2096), 27.27/4.51 X2098) = 27.27/4.51 binunion( 27.27/4.51 breln1invset( 27.27/4.51 X2092, 27.27/4.51 breln1compset( 27.27/4.51 X2092, 27.27/4.51 breln1invset( 27.27/4.51 X2092, 27.27/4.51 X2098), 27.27/4.51 breln1invset( 27.27/4.51 X2092, 27.27/4.51 X2096))), 27.27/4.51 breln1invset( 27.27/4.51 X2092, 27.27/4.51 breln1compset( 27.27/4.51 X2092, 27.27/4.51 breln1invset( 27.27/4.51 X2092, 27.27/4.51 X2098), 27.27/4.51 breln1invset( 27.27/4.51 X2092, 27.27/4.51 X2094))))))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2100, 27.27/4.51 X2102:( 27.27/4.51 ( 27.27/4.51 $i > $i))]: 27.27/4.51 (?[X2104]: 27.27/4.51 (![X2106]: 27.27/4.51 (in( 27.27/4.51 X2106, 27.27/4.51 X2104) <=> 27.27/4.51 (?[X2108]: 27.27/4.51 zip_tseitin_6( 27.27/4.51 X2108, 27.27/4.51 X2106, 27.27/4.51 X2102, 27.27/4.51 X2100)))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2110, 27.27/4.51 X2112:( 27.27/4.51 ( 27.27/4.51 $i > $i))]: 27.27/4.51 (?[X2114]: 27.27/4.51 (( 27.27/4.51 ![X2116]: 27.27/4.51 (( 27.27/4.51 ![X2118]: 27.27/4.51 (in( 27.27/4.51 X2118, 27.27/4.51 X2116) <=> 27.27/4.51 (?[X2120]: 27.27/4.51 zip_tseitin_6( 27.27/4.51 X2120, 27.27/4.51 X2118, 27.27/4.51 X2112, 27.27/4.51 X2110)))) => 27.27/4.51 (X2114 = 27.27/4.51 X2116))) & 27.27/4.51 (![X2122]: 27.27/4.51 (in( 27.27/4.51 X2122, 27.27/4.51 X2114) <=> 27.27/4.51 (?[X2124]: 27.27/4.51 zip_tseitin_6( 27.27/4.51 X2124, 27.27/4.51 X2122, 27.27/4.51 X2112, 27.27/4.51 X2110))))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2126, 27.27/4.51 X2128:( 27.27/4.51 ( 27.27/4.51 $i > $i)), 27.27/4.51 X2130]: 27.27/4.51 (in( 27.27/4.51 X2130, 27.27/4.51 image1( 27.27/4.51 X2126, 27.27/4.51 ^[V_56]: 27.27/4.51 X2128( 27.27/4.51 V_56))) <=> 27.27/4.51 (?[X2132]: 27.27/4.51 zip_tseitin_6( 27.27/4.51 X2132, 27.27/4.51 X2130, 27.27/4.51 X2128, 27.27/4.51 X2126)))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2134, 27.27/4.51 X2136:( 27.27/4.51 ( 27.27/4.51 $i > $i)), 27.27/4.51 X2138]: 27.27/4.51 (in( 27.27/4.51 X2138, 27.27/4.51 image1( 27.27/4.51 X2134, 27.27/4.51 ^[V_57]: 27.27/4.51 X2136( 27.27/4.51 V_57))) => 27.27/4.51 (?[X2140]: 27.27/4.51 (( 27.27/4.51 X2138 = 27.27/4.51 X2136( 27.27/4.51 X2140)) & 27.27/4.51 in( 27.27/4.51 X2140, 27.27/4.51 X2134))))) => 27.27/4.51 ( 27.27/4.51 ( 27.27/4.51 ![X2142, 27.27/4.51 X2144:( 27.27/4.51 ( 27.27/4.51 $i > $i)), 27.27/4.51 X2146]: 27.27/4.51 (( 27.27/4.51 ?[X2148]: 27.27/4.51 (( 27.27/4.51 X2146 = 27.27/4.51 X2144( 27.27/4.51 X2148)) & 27.27/4.51 in( 27.27/4.51 X2148, 27.27/4.51 X2142))) => 27.27/4.51 in( 27.27/4.51 X2146, 27.27/4.51 image1( 27.27/4.51 X2142, 27.27/4.51 ^[V_58]: 27.27/4.51 X2144( 27.27/4.51 V_58))))) => 27.27/4.51 ( 27.27/4.51 ![X2150, 27.27/4.51 X2152, 27.27/4.51 X2154]: 27.27/4.51 (in( 27.27/4.51 X2154, 27.27/4.51 funcSet( 27.27/4.51 X2150, 27.27/4.51 X2152)) => 27.27/4.51 (injective( 27.27/4.51 X2150, 27.27/4.51 X2152, 27.27/4.51 X2154) => 27.27/4.51 in( 27.27/4.51 X2154, 27.27/4.51 dsetconstr( 27.27/4.51 funcSet( 27.27/4.51 X2150, 27.27/4.51 X2152), 27.27/4.51 ^[V_59]: 27.27/4.51 injective( 27.27/4.51 X2150, 27.27/4.51 X2152, 27.27/4.51 V_59)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 27.27/4.51 tff('322', plain, injective(sk_X2150, sk_X2152, sk_X2154), 27.27/4.51 inference('cnf', [status(esa)], [zf_stmt_16])). 27.27/4.51 tff('323', plain, in(sk_X2154, funcSet(sk_X2150, sk_X2152)), 27.27/4.51 inference('cnf', [status(esa)], [zf_stmt_16])). 27.27/4.51 tff('324', plain, 27.27/4.51 ![X1110 : $i > $o, X1111, X1112]: 27.27/4.51 (~ X1110(X1111) 27.27/4.51 | in(X1111, dsetconstr(X1112, (^[Y0 : $i]: X1110(Y0)))) 27.27/4.51 | ~ in(X1111, X1112)), 27.27/4.51 inference('cnf', [status(esa)], [zf_stmt_16])). 27.27/4.51 tff('325', plain, 27.27/4.51 ![X1110 : $i > $o, X1111, X1112]: 27.27/4.51 (~ X1110(X1111) 27.27/4.51 | in(X1111, dsetconstr(X1112, X1110)) 27.27/4.51 | ~ in(X1111, X1112)), 27.27/4.51 inference('ho_norm', [status(thm)], ['324'])). 27.27/4.51 tff('326', plain, 27.27/4.51 ~ in(sk_X2154, 27.27/4.51 dsetconstr(funcSet(sk_X2150, sk_X2152), 27.27/4.51 (^[Y0 : $i]: injective(sk_X2150, sk_X2152, Y0)))), 27.27/4.51 inference('cnf', [status(esa)], [zf_stmt_16])). 27.27/4.51 tff('327', plain, 27.27/4.51 ~ in(sk_X2154, 27.27/4.51 dsetconstr(funcSet(sk_X2150, sk_X2152), 27.27/4.51 injective(sk_X2150, sk_X2152))), 27.27/4.51 inference('ho_norm', [status(thm)], ['326'])). 27.27/4.51 tff('328', plain, $false, 27.27/4.51 inference('eprover', [status(thm)], ['322', '323', '325', '327'])). 27.27/4.51 27.27/4.51 % SZS output end Refutation 27.27/4.51 27.27/4.51 27.27/4.51 % /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s 27.27/4.51 % Terminating... 27.30/4.57 % Runner terminated. 27.30/4.59 % Zipperpin 1.5 exiting 27.30/4.59 EOF