0.06/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.13 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.EA37XhrI7z 0.13/0.33 % Computer : n003.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1200 0.13/0.33 % DateTime : Tue Jul 13 15:33:39 EDT 2021 0.13/0.33 % CPUTime : 0.13/0.33 % Running portfolio for 120 s 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.33 % Number of cores: 8 0.18/0.33 % Python version: Python 3.6.8 0.18/0.34 % Running in HO mode 0.47/0.61 % Estimated wc time : 1286 0.47/0.62 % Estimated cpu time (7 cpus) : 183.71428571428572 0.48/0.70 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.48/0.70 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.48/0.70 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.48/0.70 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.48/0.70 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 0.48/0.71 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 0.48/0.71 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 24.76/4.22 % Solved by lams/c.easy.sh. 24.76/4.22 % Running : timeout 10 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.EA37XhrI7z/e_input5cfb29 --cpu-limit=8 --auto -s -p. 24.76/4.22 % done 889 iterations in 3.317s 24.76/4.22 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 24.76/4.22 % SZS output start Refutation 24.76/4.22 tff(complementTnotintersectT, axiom, complementTnotintersectT <=> 24.76/4.22 (![A,X]: 24.76/4.22 (in(X,powerset(A)) => 24.76/4.22 (![Y]: 24.76/4.22 (in(Y,powerset(A)) => 24.76/4.22 (![Xx]: 24.76/4.22 (in(Xx,A) => 24.76/4.22 (in(Xx,setminus(A,X)) => (~in(Xx,binintersect(X,Y))))))))))). 24.76/4.22 tff('0', plain, 24.76/4.22 complementTnotintersectT = 24.76/4.22 (![X4,X6]: 24.76/4.22 (in(X6,powerset(X4)) => 24.76/4.22 (![X8]: 24.76/4.22 (in(X8,powerset(X4)) => 24.76/4.22 (![X10]: 24.76/4.22 (in(X10,X4) => 24.76/4.22 (in(X10,setminus(X4,X6)) => (~in(X10,binintersect(X6,X8)))))))))), 24.76/4.22 define([status(thm)])). 24.76/4.22 tff(doubleComplementEq, axiom, doubleComplementEq <=> 24.76/4.22 (![A,X]: (in(X,powerset(A)) => (X = setminus(A,setminus(A,X)))))). 24.76/4.22 tff('1', plain, 24.76/4.22 doubleComplementEq = 24.76/4.22 (![X4,X6]: (in(X6,powerset(X4)) => (X6 = setminus(X4,setminus(X4,X6))))), 24.76/4.22 define([status(thm)])). 24.76/4.22 tff(doubleComplementSub2, axiom, doubleComplementSub2 <=> 24.76/4.22 (![A,X]: (in(X,powerset(A)) => subset(setminus(A,setminus(A,X)),X)))). 24.76/4.22 tff('2', plain, 24.76/4.22 doubleComplementSub2 = 24.76/4.22 (![X4,X6]: 24.76/4.22 (in(X6,powerset(X4)) => subset(setminus(X4,setminus(X4,X6)),X6))), 24.76/4.22 define([status(thm)])). 24.76/4.22 tff(doubleComplementSub1, axiom, doubleComplementSub1 <=> 24.76/4.22 (![A,X]: (in(X,powerset(A)) => subset(X,setminus(A,setminus(A,X)))))). 24.76/4.22 tff('3', plain, 24.76/4.22 doubleComplementSub1 = 24.76/4.22 (![X4,X6]: 24.76/4.22 (in(X6,powerset(X4)) => subset(X6,setminus(X4,setminus(X4,X6))))), 24.76/4.22 define([status(thm)])). 24.76/4.22 tff(doubleComplementE1, axiom, doubleComplementE1 <=> 24.76/4.22 (![A,X]: 24.76/4.22 (in(X,powerset(A)) => 24.76/4.22 (![Xx]: (in(Xx,A) => (in(Xx,setminus(A,setminus(A,X))) => in(Xx,X))))))). 24.76/4.22 tff('4', plain, 24.76/4.22 doubleComplementE1 = 24.76/4.22 (![X4,X6]: 24.76/4.22 (in(X6,powerset(X4)) => 24.76/4.22 (![X8]: 24.76/4.22 (in(X8,X4) => (in(X8,setminus(X4,setminus(X4,X6))) => in(X8,X6)))))), 24.76/4.22 define([status(thm)])). 24.76/4.22 tff(doubleComplementI1, axiom, doubleComplementI1 <=> 24.76/4.22 (![A,X]: 24.76/4.22 (in(X,powerset(A)) => 24.76/4.22 (![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,setminus(A,setminus(A,X))))))))). 24.76/4.22 tff('5', plain, 24.76/4.22 doubleComplementI1 = 24.76/4.22 (![X4,X6]: 24.76/4.22 (in(X6,powerset(X4)) => 24.76/4.22 (![X8]: 24.76/4.22 (in(X8,X4) => (in(X8,X6) => in(X8,setminus(X4,setminus(X4,X6)))))))), 24.76/4.22 define([status(thm)])). 24.76/4.22 tff(contrasubsetT3, axiom, contrasubsetT3 <=> 24.76/4.22 (![A,X]: 24.76/4.22 (in(X,powerset(A)) => 24.76/4.22 (![Y]: 24.76/4.22 (in(Y,powerset(A)) => 24.76/4.22 (subset(setminus(A,Y),setminus(A,X)) => subset(X,Y))))))). 24.76/4.22 tff('6', plain, 24.76/4.22 contrasubsetT3 = 24.76/4.22 (![X4,X6]: 24.76/4.22 (in(X6,powerset(X4)) => 24.76/4.22 (![X8]: 24.76/4.22 (in(X8,powerset(X4)) => 24.76/4.22 (subset(setminus(X4,X8),setminus(X4,X6)) => subset(X6,X8)))))), 24.76/4.22 define([status(thm)])). 24.76/4.22 tff(contrasubsetT2, axiom, contrasubsetT2 <=> 24.76/4.22 (![A,X]: 24.76/4.22 (in(X,powerset(A)) => 24.76/4.22 (![Y]: 25.32/4.22 (in(Y,powerset(A)) => 25.32/4.22 (subset(X,Y) => subset(setminus(A,Y),setminus(A,X)))))))). 25.32/4.22 tff('7', plain, 25.32/4.22 contrasubsetT2 = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: 25.32/4.22 (in(X8,powerset(X4)) => 25.32/4.22 (subset(X6,X8) => subset(setminus(X4,X8),setminus(X4,X6))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(contrasubsetT1, axiom, contrasubsetT1 <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Y]: 25.32/4.22 (in(Y,powerset(A)) => 25.32/4.22 (![Xx]: (in(Xx,A) => (subset(X,Y) => ((~in(Xx,Y)) => (~in(Xx,X))))))))))). 25.32/4.22 tff('8', plain, 25.32/4.22 contrasubsetT1 = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: 25.32/4.22 (in(X8,powerset(X4)) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 (subset(X6,X8) => ((~in(X10,X8)) => (~in(X10,X6)))))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(contrasubsetT, axiom, contrasubsetT <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Y]: 25.32/4.22 (in(Y,powerset(A)) => 25.32/4.22 (![Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (subset(X,setminus(A,Y)) => (in(Xx,Y) => (~in(Xx,X))))))))))). 25.32/4.22 tff('9', plain, 25.32/4.22 contrasubsetT = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: 25.32/4.22 (in(X8,powerset(X4)) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 (subset(X6,setminus(X4,X8)) => (in(X10,X8) => (~in(X10,X6)))))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(binintersectTERcontra, axiom, binintersectTERcontra <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Y]: 25.32/4.22 (in(Y,powerset(A)) => 25.32/4.22 (![Xx]: (in(Xx,A) => ((~in(Xx,Y)) => (~in(Xx,binintersect(X,Y))))))))))). 25.32/4.22 tff('10', plain, 25.32/4.22 binintersectTERcontra = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: 25.32/4.22 (in(X8,powerset(X4)) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 ((~in(X10,X8)) => (~in(X10,binintersect(X6,X8)))))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(binintersectTELcontra, axiom, binintersectTELcontra <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Y]: 25.32/4.22 (in(Y,powerset(A)) => 25.32/4.22 (![Xx]: (in(Xx,A) => ((~in(Xx,X)) => (~in(Xx,binintersect(X,Y))))))))))). 25.32/4.22 tff('11', plain, 25.32/4.22 binintersectTELcontra = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: 25.32/4.22 (in(X8,powerset(X4)) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 ((~in(X10,X6)) => (~in(X10,binintersect(X6,X8)))))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(complementTE1, axiom, complementTE1 <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Xx]: (in(Xx,A) => ((~in(Xx,setminus(A,X))) => in(Xx,X))))))). 25.32/4.22 tff('12', plain, 25.32/4.22 complementTE1 = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: (in(X8,X4) => ((~in(X8,setminus(X4,X6))) => in(X8,X6)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(complementTI1, axiom, complementTI1 <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Xx]: (in(Xx,A) => (in(Xx,X) => (~in(Xx,setminus(A,X))))))))). 25.32/4.22 tff('13', plain, 25.32/4.22 complementTI1 = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: (in(X8,X4) => (in(X8,X6) => (~in(X8,setminus(X4,X6)))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(powersetTE1, axiom, powersetTE1 <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Y]: 25.32/4.22 (in(Y,powerset(A)) => 25.32/4.22 (![Xx]: (in(Xx,A) => (in(X,powerset(Y)) => (in(Xx,X) => in(Xx,Y)))))))))). 25.32/4.22 tff('14', plain, 25.32/4.22 powersetTE1 = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: 25.32/4.22 (in(X8,powerset(X4)) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 (in(X6,powerset(X8)) => (in(X10,X6) => in(X10,X8))))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(powersetTI1, axiom, powersetTI1 <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Y]: 25.32/4.22 (in(Y,powerset(A)) => 25.32/4.22 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => in(X,powerset(Y)))))))). 25.32/4.22 tff('15', plain, 25.32/4.22 powersetTI1 = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: 25.32/4.22 (in(X8,powerset(X4)) => 25.32/4.22 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 25.32/4.22 in(X6,powerset(X8))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(subsetTI, axiom, subsetTI <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Y]: 25.32/4.22 (in(Y,powerset(A)) => 25.32/4.22 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y))))))). 25.32/4.22 tff('16', plain, 25.32/4.22 subsetTI = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: 25.32/4.22 (in(X8,powerset(X4)) => 25.32/4.22 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 25.32/4.22 subset(X6,X8)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(setextT, axiom, setextT <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Y]: 25.32/4.22 (in(Y,powerset(A)) => 25.32/4.22 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => 25.32/4.22 ((![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,X)))) => (X = Y)))))))). 25.32/4.22 tff('17', plain, 25.32/4.22 setextT = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: 25.32/4.22 (in(X8,powerset(X4)) => 25.32/4.22 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 25.32/4.22 ((![X12]: (in(X12,X4) => (in(X12,X8) => in(X12,X6)))) => 25.32/4.22 (X6 = X8))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(complementT_lem, axiom, complementT_lem <=> 25.32/4.22 (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A))))). 25.32/4.22 tff('18', plain, 25.32/4.22 complementT_lem = 25.32/4.22 (![X4,X6]: (in(X6,powerset(X4)) => in(setminus(X4,X6),powerset(X4)))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(setminusT_lem, axiom, setminusT_lem <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Y]: (in(Y,powerset(A)) => in(setminus(X,Y),powerset(A))))))). 25.32/4.22 tff('19', plain, 25.32/4.22 setminusT_lem = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: (in(X8,powerset(X4)) => in(setminus(X6,X8),powerset(X4)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(powersetT_lem, axiom, powersetT_lem <=> 25.32/4.22 (![A,X]: (in(X,powerset(A)) => in(powerset(X),powerset(powerset(A)))))). 25.32/4.22 tff('20', plain, 25.32/4.22 powersetT_lem = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => in(powerset(X6),powerset(powerset(X4))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(binunionT_lem, axiom, binunionT_lem <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A))))))). 25.32/4.22 tff('21', plain, 25.32/4.22 binunionT_lem = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: (in(X8,powerset(X4)) => in(binunion(X6,X8),powerset(X4)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(binintersectT_lem, axiom, binintersectT_lem <=> 25.32/4.22 (![A,X]: 25.32/4.22 (in(X,powerset(A)) => 25.32/4.22 (![Y]: (in(Y,powerset(A)) => in(binintersect(X,Y),powerset(A))))))). 25.32/4.22 tff('22', plain, 25.32/4.22 binintersectT_lem = 25.32/4.22 (![X4,X6]: 25.32/4.22 (in(X6,powerset(X4)) => 25.32/4.22 (![X8]: (in(X8,powerset(X4)) => in(binintersect(X6,X8),powerset(X4)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(iftrueorfalse, axiom, iftrueorfalse <=> 25.32/4.22 (![A,Xphi:$o,Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,A) => 25.32/4.22 in(if(A,Xphi,Xx,Xy),setadjoin(Xx,setadjoin(Xy,emptyset)))))))). 25.32/4.22 tff('23', plain, 25.32/4.22 iftrueorfalse = 25.32/4.22 (![X4,X6:$o,X8]: 25.32/4.22 (in(X8,X4) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 in(if(X4,X6,X8,X10),setadjoin(X8,setadjoin(X10,emptyset))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(iffalse, axiom, iffalse <=> 25.32/4.22 (![A,Xphi:$o,Xx]: 25.32/4.22 (in(Xx,A) => (![Xy]: (in(Xy,A) => ((~Xphi) => (if(A,Xphi,Xx,Xy) = Xy))))))). 25.32/4.22 tff('24', plain, 25.32/4.22 iffalse = 25.32/4.22 (![X4,X6:$o,X8]: 25.32/4.22 (in(X8,X4) => 25.32/4.22 (![X10]: (in(X10,X4) => ((~X6) => (if(X4,X6,X8,X10) = X10)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(iftrue, axiom, iftrue <=> 25.32/4.22 (![A,Xphi:$o,Xx]: 25.32/4.22 (in(Xx,A) => (![Xy]: (in(Xy,A) => (Xphi => (if(A,Xphi,Xx,Xy) = Xx))))))). 25.32/4.22 tff('25', plain, 25.32/4.22 iftrue = 25.32/4.22 (![X4,X6:$o,X8]: 25.32/4.22 (in(X8,X4) => 25.32/4.22 (![X10]: (in(X10,X4) => (X6 => (if(X4,X6,X8,X10) = X8)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(theeq, axiom, theeq <=> 25.32/4.22 (![X]: (singleton(X) => (![Xx]: (in(Xx,X) => (setunion(X) = Xx)))))). 25.32/4.22 tff('26', plain, 25.32/4.22 theeq = 25.32/4.22 (![X4]: (singleton(X4) => (![X6]: (in(X6,X4) => (setunion(X4) = X6))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(ifp, axiom, ifp <=> 25.32/4.22 (![A,Xphi:$o,Xx]: 25.32/4.22 (in(Xx,A) => (![Xy]: (in(Xy,A) => in(if(A,Xphi,Xx,Xy),A)))))). 25.32/4.22 tff('27', plain, 25.32/4.22 ifp = 25.32/4.22 (![X4,X6:$o,X8]: 25.32/4.22 (in(X8,X4) => (![X10]: (in(X10,X4) => in(if(X4,X6,X8,X10),X4))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(ifSingleton, axiom, ifSingleton <=> 25.32/4.22 (![A,Xphi:$o,Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,A) => 25.32/4.22 singleton(dsetconstr(A, 25.32/4.22 ^[Xz]: 25.32/4.22 ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy)))))))))). 25.32/4.22 tff('28', plain, 25.32/4.22 ifSingleton = 25.32/4.22 (![X4,X6:$o,X8]: 25.32/4.22 (in(X8,X4) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 singleton(dsetconstr(X4, 25.32/4.22 ^[V_1]: 25.32/4.22 ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10))))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(iftrueProp2, axiom, iftrueProp2 <=> 25.32/4.22 (![A,Xphi:$o,Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,A) => 25.32/4.22 (Xphi => 25.32/4.22 (dsetconstr(A,^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy)))) = 25.32/4.22 setadjoin(Xx,emptyset)))))))). 25.32/4.22 tff('29', plain, 25.32/4.22 iftrueProp2 = 25.32/4.22 (![X4,X6:$o,X8]: 25.32/4.22 (in(X8,X4) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 (X6 => 25.32/4.22 (dsetconstr(X4, 25.32/4.22 ^[V_1]: ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))) = 25.32/4.22 setadjoin(X8,emptyset))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(iftrueProp1, axiom, iftrueProp1 <=> 25.32/4.22 (![A,Xphi:$o,Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,A) => 25.32/4.22 (Xphi => 25.32/4.22 in(Xx, 25.32/4.22 dsetconstr(A, 25.32/4.22 ^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy))))))))))). 25.32/4.22 tff('30', plain, 25.32/4.22 iftrueProp1 = 25.32/4.22 (![X4,X6:$o,X8]: 25.32/4.22 (in(X8,X4) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 (X6 => 25.32/4.22 in(X8, 25.32/4.22 dsetconstr(X4, 25.32/4.22 ^[V_1]: 25.32/4.22 ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(iffalseProp2, axiom, iffalseProp2 <=> 25.32/4.22 (![A,Xphi:$o,Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,A) => 25.32/4.22 ((~Xphi) => 25.32/4.22 (dsetconstr(A,^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy)))) = 25.32/4.22 setadjoin(Xy,emptyset)))))))). 25.32/4.22 tff('31', plain, 25.32/4.22 iffalseProp2 = 25.32/4.22 (![X4,X6:$o,X8]: 25.32/4.22 (in(X8,X4) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 ((~X6) => 25.32/4.22 (dsetconstr(X4, 25.32/4.22 ^[V_1]: ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))) = 25.32/4.22 setadjoin(X10,emptyset))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(iffalseProp1, axiom, iffalseProp1 <=> 25.32/4.22 (![A,Xphi:$o,Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,A) => 25.32/4.22 ((~Xphi) => 25.32/4.22 in(Xy, 25.32/4.22 dsetconstr(A, 25.32/4.22 ^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy))))))))))). 25.32/4.22 tff('32', plain, 25.32/4.22 iffalseProp1 = 25.32/4.22 (![X4,X6:$o,X8]: 25.32/4.22 (in(X8,X4) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 ((~X6) => 25.32/4.22 in(X10, 25.32/4.22 dsetconstr(X4, 25.32/4.22 ^[V_1]: 25.32/4.22 ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(eta2, axiom, eta2 <=> 25.32/4.22 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 25.32/4.22 tff('33', plain, 25.32/4.22 eta2 = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (in(X8,funcSet(X4,X6)) => (lam(X4,X6,^[V_1]: ap(X4,X6,X8,V_1)) = X8))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(beta2, axiom, beta2 <=> 25.32/4.22 (![A,B,Xf:(($i > $i))]: 25.32/4.22 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 25.32/4.22 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 25.32/4.22 tff('34', plain, 25.32/4.22 beta2 = 25.32/4.22 (![X4,X6,X8:(($i > $i))]: 25.32/4.22 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 25.32/4.22 (![X12]: 25.32/4.22 (in(X12,X4) => 25.32/4.22 (ap(X4,X6,lam(X4,X6,^[V_1]: X8(V_1)),X12) = X8(X12)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(lam2lamEq, axiom, lam2lamEq <=> 25.32/4.22 (![A,B,Xf:(($i > $i))]: 25.32/4.22 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 25.32/4.22 (lam(A,B,^[Xx]: Xf(Xx)) = lam(A,B,^[Xx]: Xf(Xx)))))). 25.32/4.22 tff('35', plain, 25.32/4.22 lam2lamEq = 25.32/4.22 (![X4,X6,X8:(($i > $i))]: 25.32/4.22 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 25.32/4.22 (lam(X4,X6,^[V_1]: X8(V_1)) = lam(X4,X6,^[V_2]: X8(V_2))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(eta1, axiom, eta1 <=> 25.32/4.22 (![A,B,Xf]: (func(A,B,Xf) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 25.32/4.22 tff('36', plain, 25.32/4.22 eta1 = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (func(X4,X6,X8) => (lam(X4,X6,^[V_1]: ap(X4,X6,X8,V_1)) = X8))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(beta1, axiom, beta1 <=> 25.32/4.22 (![A,B,Xf:(($i > $i))]: 25.32/4.22 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 25.32/4.22 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 25.32/4.22 tff('37', plain, 25.32/4.22 beta1 = 25.32/4.22 (![X4,X6,X8:(($i > $i))]: 25.32/4.22 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 25.32/4.22 (![X12]: 25.32/4.22 (in(X12,X4) => 25.32/4.22 (ap(X4,X6,lam(X4,X6,^[V_1]: X8(V_1)),X12) = X8(X12)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(ap2apEq2, axiom, ap2apEq2 <=> 25.32/4.22 (![A,B,Xf]: 25.32/4.22 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 25.32/4.22 tff('38', plain, 25.32/4.22 ap2apEq2 = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (func(X4,X6,X8) => 25.32/4.22 (![X10]: (in(X10,X4) => (ap(X4,X6,X8,X10) = ap(X4,X6,X8,X10)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(ap2apEq1, axiom, ap2apEq1 <=> 25.32/4.22 (![A,B,Xf]: 25.32/4.22 (in(Xf,funcSet(A,B)) => 25.32/4.22 (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 25.32/4.22 tff('39', plain, 25.32/4.22 ap2apEq1 = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (in(X8,funcSet(X4,X6)) => 25.32/4.22 (![X10]: (in(X10,X4) => (ap(X4,X6,X8,X10) = ap(X4,X6,X8,X10)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(funcext2, axiom, funcext2 <=> 25.32/4.22 (![A,B,Xf]: 25.32/4.22 (in(Xf,funcSet(A,B)) => 25.32/4.22 (![Xg]: 25.32/4.22 (in(Xg,funcSet(A,B)) => 25.32/4.22 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 25.32/4.22 (Xf = Xg))))))). 25.32/4.22 tff('40', plain, 25.32/4.22 funcext2 = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (in(X8,funcSet(X4,X6)) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,funcSet(X4,X6)) => 25.32/4.22 ((![X12]: (in(X12,X4) => (ap(X4,X6,X8,X12) = ap(X4,X6,X10,X12)))) => 25.32/4.22 (X8 = X10)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(funcext, axiom, funcext <=> 25.32/4.22 (![A,B,Xf]: 25.32/4.22 (func(A,B,Xf) => 25.32/4.22 (![Xg]: 25.32/4.22 (func(A,B,Xg) => 25.32/4.22 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 25.32/4.22 (Xf = Xg))))))). 25.32/4.22 tff('41', plain, 25.32/4.22 funcext = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (func(X4,X6,X8) => 25.32/4.22 (![X10]: 25.32/4.22 (func(X4,X6,X10) => 25.32/4.22 ((![X12]: (in(X12,X4) => (ap(X4,X6,X8,X12) = ap(X4,X6,X10,X12)))) => 25.32/4.22 (X8 = X10)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(eqbreln, axiom, eqbreln <=> 25.32/4.22 (![A,B,R]: 25.32/4.22 (breln(A,B,R) => 25.32/4.22 (![S]: 25.32/4.22 (breln(A,B,S) => 25.32/4.22 ((![Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 25.32/4.22 ((![Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,B) => (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),R)))))) => 25.32/4.22 (R = S)))))))). 25.32/4.22 tff('42', plain, 25.32/4.22 eqbreln = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (breln(X4,X6,X8) => 25.32/4.22 (![X10]: 25.32/4.22 (breln(X4,X6,X10) => 25.32/4.22 ((![X12]: 25.32/4.22 (in(X12,X4) => 25.32/4.22 (![X14]: 25.32/4.22 (in(X14,X6) => 25.32/4.22 (in(kpair(X12,X14),X8) => in(kpair(X12,X14),X10)))))) => 25.32/4.22 ((![X16]: 25.32/4.22 (in(X16,X4) => 25.32/4.22 (![X18]: 25.32/4.22 (in(X18,X6) => 25.32/4.22 (in(kpair(X16,X18),X10) => in(kpair(X16,X18),X8)))))) => 25.32/4.22 (X8 = X10))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(subbreln, axiom, subbreln <=> 25.32/4.22 (![A,B,R]: 25.32/4.22 (breln(A,B,R) => 25.32/4.22 (![S]: 25.32/4.22 (breln(A,B,S) => 25.32/4.22 ((![Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 25.32/4.22 subset(R,S))))))). 25.32/4.22 tff('43', plain, 25.32/4.22 subbreln = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (breln(X4,X6,X8) => 25.32/4.22 (![X10]: 25.32/4.22 (breln(X4,X6,X10) => 25.32/4.22 ((![X12]: 25.32/4.22 (in(X12,X4) => 25.32/4.22 (![X14]: 25.32/4.22 (in(X14,X6) => 25.32/4.22 (in(kpair(X12,X14),X8) => in(kpair(X12,X14),X10)))))) => 25.32/4.22 subset(X8,X10)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(funcGraphProp4, axiom, funcGraphProp4 <=> 25.32/4.22 (![A,B,Xf]: 25.32/4.22 (in(Xf,funcSet(A,B)) => 25.32/4.22 (![Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 25.32/4.22 tff('44', plain, 25.32/4.22 funcGraphProp4 = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (in(X8,funcSet(X4,X6)) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 (![X12]: 25.32/4.22 (in(X12,X6) => 25.32/4.22 (in(kpair(X10,X12),X8) => (ap(X4,X6,X8,X10) = X12)))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(funcextLem, axiom, funcextLem <=> 25.32/4.22 (![A,B,Xf]: 25.32/4.22 (func(A,B,Xf) => 25.32/4.22 (![Xg]: 25.32/4.22 (func(A,B,Xg) => 25.32/4.22 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 25.32/4.22 (![Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,B) => (in(kpair(Xx,Xy),Xg) => in(kpair(Xx,Xy),Xf)))))))))))). 25.32/4.22 tff('45', plain, 25.32/4.22 funcextLem = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (func(X4,X6,X8) => 25.32/4.22 (![X10]: 25.32/4.22 (func(X4,X6,X10) => 25.32/4.22 ((![X12]: (in(X12,X4) => (ap(X4,X6,X8,X12) = ap(X4,X6,X10,X12)))) => 25.32/4.22 (![X14]: 25.32/4.22 (in(X14,X4) => 25.32/4.22 (![X16]: 25.32/4.22 (in(X16,X6) => 25.32/4.22 (in(kpair(X14,X16),X10) => in(kpair(X14,X16),X8))))))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(funcGraphProp2, axiom, funcGraphProp2 <=> 25.32/4.22 (![A,B,Xf]: 25.32/4.22 (func(A,B,Xf) => 25.32/4.22 (![Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 25.32/4.22 tff('46', plain, 25.32/4.22 funcGraphProp2 = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (func(X4,X6,X8) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 (![X12]: 25.32/4.22 (in(X12,X6) => 25.32/4.22 (in(kpair(X10,X12),X8) => (ap(X4,X6,X8,X10) = X12)))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(funcGraphProp3, axiom, funcGraphProp3 <=> 25.32/4.22 (![A,B,Xf]: 25.32/4.22 (in(Xf,funcSet(A,B)) => 25.32/4.22 (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 25.32/4.22 tff('47', plain, 25.32/4.22 funcGraphProp3 = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (in(X8,funcSet(X4,X6)) => 25.32/4.22 (![X10]: (in(X10,X4) => in(kpair(X10,ap(X4,X6,X8,X10)),X8))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(funcGraphProp1, axiom, funcGraphProp1 <=> 25.32/4.22 (![A,B,Xf]: 25.32/4.22 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 25.32/4.22 tff('48', plain, 25.32/4.22 funcGraphProp1 = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (func(X4,X6,X8) => 25.32/4.22 (![X10]: (in(X10,X4) => in(kpair(X10,ap(X4,X6,X8,X10)),X8))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(ex1E2, axiom, ex1E2 <=> 25.32/4.22 (![A,Xphi:(($i > $o))]: 25.32/4.22 (ex1(A,^[Xx]: Xphi(Xx)) => 25.32/4.22 (![Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))))))))). 25.32/4.22 tff('49', plain, 25.32/4.22 ex1E2 = 25.32/4.22 (![X4,X6:(($i > $o))]: 25.32/4.22 (ex1(X4,^[V_1]: X6(V_1)) => 25.32/4.22 (![X8]: 25.32/4.22 (in(X8,X4) => 25.32/4.22 (![X10]: (in(X10,X4) => (X6(X8) => (X6(X10) => (X8 = X10))))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(brelnall2, axiom, brelnall2 <=> 25.32/4.22 (![A,B,R]: 25.32/4.22 (breln(A,B,R) => 25.32/4.22 (![Xphi:(($i > $o))]: 25.32/4.22 ((![Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 25.32/4.22 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 25.32/4.22 tff('50', plain, 25.32/4.22 brelnall2 = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (breln(X4,X6,X8) => 25.32/4.22 (![X10:(($i > $o))]: 25.32/4.22 ((![X12]: 25.32/4.22 (in(X12,X4) => 25.32/4.22 (![X14]: 25.32/4.22 (in(X14,X6) => 25.32/4.22 (in(kpair(X12,X14),X8) => X10(kpair(X12,X14))))))) => 25.32/4.22 (![X16]: (in(X16,X8) => X10(X16))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(brelnall1, axiom, brelnall1 <=> 25.32/4.22 (![A,B,R]: 25.32/4.22 (breln(A,B,R) => 25.32/4.22 (![Xphi:(($i > $o))]: 25.32/4.22 ((![Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 25.32/4.22 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 25.32/4.22 tff('51', plain, 25.32/4.22 brelnall1 = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (breln(X4,X6,X8) => 25.32/4.22 (![X10:(($i > $o))]: 25.32/4.22 ((![X12]: 25.32/4.22 (in(X12,X4) => 25.32/4.22 (![X14]: 25.32/4.22 (in(X14,X6) => 25.32/4.22 (in(kpair(X12,X14),X8) => X10(kpair(X12,X14))))))) => 25.32/4.22 (![X16]: (in(X16,X8) => X10(X16))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(lam2p, axiom, lam2p <=> 25.32/4.22 (![A,B,Xf:(($i > $i))]: 25.32/4.22 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 25.32/4.22 in(lam(A,B,^[Xx]: Xf(Xx)),funcSet(A,B))))). 25.32/4.22 tff('52', plain, 25.32/4.22 lam2p = 25.32/4.22 (![X4,X6,X8:(($i > $i))]: 25.32/4.22 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 25.32/4.22 in(lam(X4,X6,^[V_1]: X8(V_1)),funcSet(X4,X6)))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(lamp, axiom, lamp <=> 25.32/4.22 (![A,B,Xf:(($i > $i))]: 25.32/4.22 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => func(A,B,lam(A,B,^[Xx]: Xf(Xx)))))). 25.32/4.22 tff('53', plain, 25.32/4.22 lamp = 25.32/4.22 (![X4,X6,X8:(($i > $i))]: 25.32/4.22 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 25.32/4.22 func(X4,X6,lam(X4,X6,^[V_1]: X8(V_1))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(lamProp, axiom, lamProp <=> 25.32/4.22 (![A,B,Xf:(($i > $i))]: 25.32/4.22 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 25.32/4.22 func(A,B,dpsetconstr(A,B,^[Xx,Xy]: (Xf(Xx) = Xy)))))). 25.32/4.22 tff('54', plain, 25.32/4.22 lamProp = 25.32/4.22 (![X4,X6,X8:(($i > $i))]: 25.32/4.22 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 25.32/4.22 func(X4,X6,dpsetconstr(X4,X6,^[V_1,V_2]: (X8(V_1) = V_2))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(funcinfuncset, axiom, funcinfuncset <=> 25.32/4.22 (![A,B,Xf]: (func(A,B,Xf) => in(Xf,funcSet(A,B))))). 25.32/4.22 tff('55', plain, 25.32/4.22 funcinfuncset = (![X4,X6,X8]: (func(X4,X6,X8) => in(X8,funcSet(X4,X6)))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(ap2p, axiom, ap2p <=> 25.32/4.22 (![A,B,Xf]: 25.32/4.22 (in(Xf,funcSet(A,B)) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 25.32/4.22 tff('56', plain, 25.32/4.22 ap2p = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (in(X8,funcSet(X4,X6)) => 25.32/4.22 (![X10]: (in(X10,X4) => in(ap(X4,X6,X8,X10),X6))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(infuncsetfunc, axiom, infuncsetfunc <=> 25.32/4.22 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => func(A,B,Xf)))). 25.32/4.22 tff('57', plain, 25.32/4.22 infuncsetfunc = (![X4,X6,X8]: (in(X8,funcSet(X4,X6)) => func(X4,X6,X8))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(app, axiom, app <=> 25.32/4.22 (![A,B,Xf]: (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 25.32/4.22 tff('58', plain, 25.32/4.22 app = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (func(X4,X6,X8) => (![X10]: (in(X10,X4) => in(ap(X4,X6,X8,X10),X6))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(apProp, axiom, apProp <=> 25.32/4.22 (![A,B,Xf]: 25.32/4.22 (func(A,B,Xf) => 25.32/4.22 (![Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 in(setunion(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf))),B)))))). 25.32/4.22 tff('59', plain, 25.32/4.22 apProp = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (func(X4,X6,X8) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 in(setunion(dsetconstr(X6,^[V_1]: in(kpair(X10,V_1),X8))),X6))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(funcImageSingleton, axiom, funcImageSingleton <=> 25.32/4.22 (![A,B,Xf]: 25.32/4.22 (func(A,B,Xf) => 25.32/4.22 (![Xx]: 25.32/4.22 (in(Xx,A) => singleton(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf)))))))). 25.32/4.22 tff('60', plain, 25.32/4.22 funcImageSingleton = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (func(X4,X6,X8) => 25.32/4.22 (![X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 singleton(dsetconstr(X6,^[V_1]: in(kpair(X10,V_1),X8))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(dpsetconstrER, axiom, dpsetconstrER <=> 25.32/4.22 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 25.32/4.22 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => Xphi(Xx,Xy)))). 25.32/4.22 tff('61', plain, 25.32/4.22 dpsetconstrER = 25.32/4.22 (![X4,X6,X8:(($i * $i) > $o),X10,X12]: 25.32/4.22 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 25.32/4.22 X8(X10,X12))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(dpsetconstrEL2, axiom, dpsetconstrEL2 <=> 25.32/4.22 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 25.32/4.22 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xy,B)))). 25.32/4.22 tff('62', plain, 25.32/4.22 dpsetconstrEL2 = 25.32/4.22 (![X4,X6,X8:(($i * $i) > $o),X10,X12]: 25.32/4.22 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 25.32/4.22 in(X12,X6))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(dpsetconstrEL1, axiom, dpsetconstrEL1 <=> 25.32/4.22 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 25.32/4.22 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xx,A)))). 25.32/4.22 tff('63', plain, 25.32/4.22 dpsetconstrEL1 = 25.32/4.22 (![X4,X6,X8:(($i * $i) > $o),X10,X12]: 25.32/4.22 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 25.32/4.22 in(X10,X4))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(dpsetconstrERa, axiom, dpsetconstrERa <=> 25.32/4.22 (![A,B,Xphi:(($i * $i) > $o),Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,B) => 25.32/4.22 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => 25.32/4.22 Xphi(Xx,Xy))))))). 25.32/4.22 tff('64', plain, 25.32/4.22 dpsetconstrERa = 25.32/4.22 (![X4,X6,X8:(($i * $i) > $o),X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 (![X12]: 25.32/4.22 (in(X12,X6) => 25.32/4.22 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 25.32/4.22 X8(X10,X12)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(setOfPairsIsBReln, axiom, setOfPairsIsBReln <=> 25.32/4.22 (![A,B,Xphi:(($i * $i) > $o)]: 25.32/4.22 breln(A,B,dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy))))). 25.32/4.22 tff('65', plain, 25.32/4.22 setOfPairsIsBReln = 25.32/4.22 (![X4,X6,X8:(($i * $i) > $o)]: 25.32/4.22 breln(X4,X6,dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(dpsetconstrSub, axiom, dpsetconstrSub <=> 25.32/4.22 (![A,B,Xphi:(($i * $i) > $o)]: 25.32/4.22 subset(dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy)),cartprod(A,B)))). 25.32/4.22 tff('66', plain, 25.32/4.22 dpsetconstrSub = 25.32/4.22 (![X4,X6,X8:(($i * $i) > $o)]: 25.32/4.22 subset(dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)),cartprod(X4,X6))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(dpsetconstrI, axiom, dpsetconstrI <=> 25.32/4.22 (![A,B,Xphi:(($i * $i) > $o),Xx]: 25.32/4.22 (in(Xx,A) => 25.32/4.22 (![Xy]: 25.32/4.22 (in(Xy,B) => 25.32/4.22 (Xphi(Xx,Xy) => 25.32/4.22 in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))))))))). 25.32/4.22 tff('67', plain, 25.32/4.22 dpsetconstrI = 25.32/4.22 (![X4,X6,X8:(($i * $i) > $o),X10]: 25.32/4.22 (in(X10,X4) => 25.32/4.22 (![X12]: 25.32/4.22 (in(X12,X6) => 25.32/4.22 (X8(X10,X12) => 25.32/4.22 in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(breln, axiom, breln() = ^[A,B,C]: subset(C,cartprod(A,B))). 25.32/4.22 tff('68', plain, breln = (^[A,B,C]: subset(C,cartprod(A,B))), 25.32/4.22 inference('simplify_rw_rule', [status(thm)], [breln])). 25.32/4.22 tff('69', plain, breln = (^[V_1,V_2,V_3]: subset(V_3,cartprod(V_1,V_2))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(cartprodpairsurjEq, axiom, cartprodpairsurjEq <=> 25.32/4.22 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 25.32/4.22 tff('70', plain, 25.32/4.22 cartprodpairsurjEq = 25.32/4.22 (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => (kpair(kfst(X8),ksnd(X8)) = X8))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(cartprodsndpairEq, axiom, cartprodsndpairEq <=> 25.32/4.22 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (ksnd(kpair(Xx,Xy)) = Xy)))))). 25.32/4.22 tff('71', plain, 25.32/4.22 cartprodsndpairEq = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (in(X8,X4) => (![X10]: (in(X10,X6) => (ksnd(kpair(X8,X10)) = X10))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(cartprodfstpairEq, axiom, cartprodfstpairEq <=> 25.32/4.22 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (kfst(kpair(Xx,Xy)) = Xx)))))). 25.32/4.22 tff('72', plain, 25.32/4.22 cartprodfstpairEq = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (in(X8,X4) => (![X10]: (in(X10,X6) => (kfst(kpair(X8,X10)) = X8))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(cartprodmempaircEq, axiom, cartprodmempaircEq <=> 25.32/4.22 (![A,B,Xx]: 25.32/4.22 (in(Xx,A) => (![Xy]: (in(Xy,B) => (kpair(Xx,Xy) = kpair(Xx,Xy))))))). 25.32/4.22 tff('73', plain, 25.32/4.22 cartprodmempaircEq = 25.32/4.22 (![X4,X6,X8]: 25.32/4.22 (in(X8,X4) => 25.32/4.22 (![X10]: (in(X10,X6) => (kpair(X8,X10) = kpair(X8,X10)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(cartprodpairmemER, axiom, cartprodpairmemER <=> 25.32/4.22 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xy,B)))). 25.32/4.22 tff('74', plain, 25.32/4.22 cartprodpairmemER = 25.32/4.22 (![X4,X6,X8,X10]: (in(kpair(X8,X10),cartprod(X4,X6)) => in(X10,X6))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(cartprodpairmemEL, axiom, cartprodpairmemEL <=> 25.32/4.22 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xx,A)))). 25.32/4.22 tff('75', plain, 25.32/4.22 cartprodpairmemEL = 25.32/4.22 (![X4,X6,X8,X10]: (in(kpair(X8,X10),cartprod(X4,X6)) => in(X8,X4))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(cartprodsndin, axiom, cartprodsndin <=> 25.32/4.22 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(ksnd(Xu),B)))). 25.32/4.22 tff('76', plain, 25.32/4.22 cartprodsndin = 25.32/4.22 (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => in(ksnd(X8),X6))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(kpairsurjEq, axiom, kpairsurjEq <=> 25.32/4.22 (![Xu]: (iskpair(Xu) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 25.32/4.22 tff('77', plain, 25.32/4.22 kpairsurjEq = (![X4]: (iskpair(X4) => (kpair(kfst(X4),ksnd(X4)) = X4))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(ksndpairEq, axiom, ksndpairEq <=> (![Xx,Xy]: (ksnd(kpair(Xx,Xy)) = Xy))). 25.32/4.22 tff('78', plain, ksndpairEq = (![X4,X6]: (ksnd(kpair(X4,X6)) = X6)), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(ksndsingleton, axiom, ksndsingleton <=> 25.32/4.22 (![Xu]: 25.32/4.22 (iskpair(Xu) => 25.32/4.22 singleton(dsetconstr(setunion(Xu),^[Xx]: (Xu = kpair(kfst(Xu),Xx))))))). 25.32/4.22 tff('79', plain, 25.32/4.22 ksndsingleton = 25.32/4.22 (![X4]: 25.32/4.22 (iskpair(X4) => 25.32/4.22 singleton(dsetconstr(setunion(X4),^[V_1]: (X4 = kpair(kfst(X4),V_1)))))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(setukpairinjR, axiom, setukpairinjR <=> 25.32/4.22 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xy = Xu)))). 25.32/4.22 tff('80', plain, 25.32/4.22 setukpairinjR = 25.32/4.22 (![X4,X6,X8,X10]: ((kpair(X4,X6) = kpair(X8,X10)) => (X6 = X10))), 25.32/4.22 define([status(thm)])). 25.32/4.22 tff(setukpairinjR2, axiom, setukpairinjR2 <=> 25.32/4.22 (![Xx,Xy,Xz,Xu]: 25.32/4.22 ((setadjoin(setadjoin(Xx,emptyset), 25.32/4.22 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 25.32/4.22 setadjoin(setadjoin(Xz,emptyset), 25.32/4.22 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 25.32/4.22 (Xy = Xu)))). 25.32/4.22 tff('81', plain, 25.32/4.22 setukpairinjR2 = 25.32/4.22 (![X4,X6,X8,X10]: 25.32/4.22 ((setadjoin(setadjoin(X4,emptyset), 25.32/4.22 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 25.32/4.22 setadjoin(setadjoin(X8,emptyset), 25.32/4.23 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)),emptyset))) => 25.32/4.23 (X6 = X10))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(upairequniteq, axiom, upairequniteq <=> 25.32/4.23 (![Xx,Xy,Xz]: 25.32/4.23 ((setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xz,emptyset)) => 25.32/4.23 (Xx = Xy)))). 25.32/4.23 tff('82', plain, 25.32/4.23 upairequniteq = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 ((setadjoin(X4,setadjoin(X6,emptyset)) = setadjoin(X8,emptyset)) => 25.32/4.23 (X4 = X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setukpairinjR1, axiom, setukpairinjR1 <=> 25.32/4.23 (![Xx,Xy,Xz,Xu]: 25.32/4.23 ((setadjoin(setadjoin(Xx,emptyset), 25.32/4.23 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 25.32/4.23 setadjoin(setadjoin(Xz,emptyset), 25.32/4.23 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 25.32/4.23 ((Xz = Xu) => (Xy = Xu))))). 25.32/4.23 tff('83', plain, 25.32/4.23 setukpairinjR1 = 25.32/4.23 (![X4,X6,X8,X10]: 25.32/4.23 ((setadjoin(setadjoin(X4,emptyset), 25.32/4.23 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 25.32/4.23 setadjoin(setadjoin(X8,emptyset), 25.32/4.23 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)),emptyset))) => 25.32/4.23 ((X8 = X10) => (X6 = X10)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setukpairinjR12, axiom, setukpairinjR12 <=> 25.32/4.23 (![Xx,Xy]: 25.32/4.23 ((Xx = Xy) => 25.32/4.23 (setadjoin(setadjoin(Xx,emptyset), 25.32/4.23 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 25.32/4.23 setadjoin(setadjoin(Xx,emptyset),emptyset))))). 25.32/4.23 tff('84', plain, 25.32/4.23 setukpairinjR12 = 25.32/4.23 (![X4,X6]: 25.32/4.23 ((X4 = X6) => 25.32/4.23 (setadjoin(setadjoin(X4,emptyset), 25.32/4.23 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 25.32/4.23 setadjoin(setadjoin(X4,emptyset),emptyset)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setukpairinjR11, axiom, setukpairinjR11 <=> 25.32/4.23 (![Xx,Xy]: 25.32/4.23 ((Xx = Xy) => 25.32/4.23 (setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xx,emptyset))))). 25.32/4.23 tff('85', plain, 25.32/4.23 setukpairinjR11 = 25.32/4.23 (![X4,X6]: 25.32/4.23 ((X4 = X6) => 25.32/4.23 (setadjoin(X4,setadjoin(X6,emptyset)) = setadjoin(X4,emptyset)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setukpairinjL, axiom, setukpairinjL <=> 25.32/4.23 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xx = Xz)))). 25.32/4.23 tff('86', plain, 25.32/4.23 setukpairinjL = 25.32/4.23 (![X4,X6,X8,X10]: ((kpair(X4,X6) = kpair(X8,X10)) => (X4 = X8))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setukpairinjL2, axiom, setukpairinjL2 <=> 25.32/4.23 (![Xx,Xy,Xz,Xu]: 25.32/4.23 ((setadjoin(setadjoin(Xx,emptyset), 25.32/4.23 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 25.32/4.23 setadjoin(setadjoin(Xz,emptyset), 25.32/4.23 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 25.32/4.23 (Xx = Xz)))). 25.32/4.23 tff('87', plain, 25.32/4.23 setukpairinjL2 = 25.32/4.23 (![X4,X6,X8,X10]: 25.32/4.23 ((setadjoin(setadjoin(X4,emptyset), 25.32/4.23 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 25.32/4.23 setadjoin(setadjoin(X8,emptyset), 25.32/4.23 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)),emptyset))) => 25.32/4.23 (X4 = X8))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(cartprodfstin, axiom, cartprodfstin <=> 25.32/4.23 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(kfst(Xu),A)))). 25.32/4.23 tff('88', plain, 25.32/4.23 cartprodfstin = 25.32/4.23 (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => in(kfst(X8),X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(kfstpairEq, axiom, kfstpairEq <=> (![Xx,Xy]: (kfst(kpair(Xx,Xy)) = Xx))). 25.32/4.23 tff('89', plain, kfstpairEq = (![X4,X6]: (kfst(kpair(X4,X6)) = X4)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(theprop, axiom, theprop <=> (![X]: (singleton(X) => in(setunion(X),X)))). 25.32/4.23 tff('90', plain, theprop = (![X4]: (singleton(X4) => in(setunion(X4),X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(kfstsingleton, axiom, kfstsingleton <=> 25.32/4.23 (![Xu]: 25.32/4.23 (iskpair(Xu) => 25.32/4.23 singleton(dsetconstr(setunion(Xu),^[Xx]: in(setadjoin(Xx,emptyset),Xu)))))). 25.32/4.23 tff('91', plain, 25.32/4.23 kfstsingleton = 25.32/4.23 (![X4]: 25.32/4.23 (iskpair(X4) => 25.32/4.23 singleton(dsetconstr(setunion(X4), 25.32/4.23 ^[V_1]: in(setadjoin(V_1,emptyset),X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setukpairinjL1, axiom, setukpairinjL1 <=> 25.32/4.23 (![Xx,Xy,Xz]: 25.32/4.23 (in(setadjoin(Xz,emptyset), 25.32/4.23 setadjoin(setadjoin(Xx,emptyset), 25.32/4.23 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset))) => 25.32/4.23 (Xx = Xz)))). 25.32/4.23 tff('92', plain, 25.32/4.23 setukpairinjL1 = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(setadjoin(X8,emptyset), 25.32/4.23 setadjoin(setadjoin(X4,emptyset), 25.32/4.23 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset))) => 25.32/4.23 (X4 = X8))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(singletonsuniq, axiom, singletonsuniq <=> 25.32/4.23 (![Xx,Xy]: ((setadjoin(Xx,emptyset) = setadjoin(Xy,emptyset)) => (Xx = Xy)))). 25.32/4.23 tff('93', plain, 25.32/4.23 singletonsuniq = 25.32/4.23 (![X4,X6]: 25.32/4.23 ((setadjoin(X4,emptyset) = setadjoin(X6,emptyset)) => (X4 = X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(ex1I2, axiom, ex1I2 <=> 25.32/4.23 (![A,Xphi:(($i > $o))]: 25.32/4.23 ((![Xx]: 25.32/4.23 (in(Xx,A) => 25.32/4.23 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 25.32/4.23 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => ex1(A,^[Xx]: Xphi(Xx)))))). 25.32/4.23 tff('94', plain, 25.32/4.23 ex1I2 = 25.32/4.23 (![X4,X6:(($i > $o))]: 25.32/4.23 ((![X8]: 25.32/4.23 (in(X8,X4) => 25.32/4.23 (![X10]: (in(X10,X4) => (X6(X8) => (X6(X10) => (X8 = X10))))))) => 25.32/4.23 ((?[X12]: (X6(X12) & in(X12,X4))) => ex1(X4,^[V_1]: X6(V_1))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(ex1I, axiom, ex1I <=> 25.32/4.23 (![A,Xphi:(($i > $o)),Xx]: 25.32/4.23 (in(Xx,A) => 25.32/4.23 (Xphi(Xx) => 25.32/4.23 ((![Xy]: (in(Xy,A) => (Xphi(Xy) => (Xy = Xx)))) => 25.32/4.23 ex1(A,^[Xy]: Xphi(Xy))))))). 25.32/4.23 tff('95', plain, 25.32/4.23 ex1I = 25.32/4.23 (![X4,X6:(($i > $o)),X8]: 25.32/4.23 (in(X8,X4) => 25.32/4.23 (X6(X8) => 25.32/4.23 ((![X10]: (in(X10,X4) => (X6(X10) => (X10 = X8)))) => 25.32/4.23 ex1(X4,^[V_1]: X6(V_1)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(ex1E1, axiom, ex1E1 <=> 25.32/4.23 (![A,Xphi:(($i > $o))]: 25.32/4.23 (ex1(A,^[Xx]: Xphi(Xx)) => (?[Xx]: (Xphi(Xx) & in(Xx,A)))))). 25.32/4.23 tff('96', plain, 25.32/4.23 ex1E1 = 25.32/4.23 (![X4,X6:(($i > $o))]: 25.32/4.23 (ex1(X4,^[V_1]: X6(V_1)) => (?[X8]: (X6(X8) & in(X8,X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(ex1, axiom, ex1() = 25.32/4.23 ^[A,Xphi:(($i > $o))]: singleton(dsetconstr(A,^[Xx]: Xphi(Xx)))). 25.32/4.23 tff('97', plain, 25.32/4.23 ex1 = (^[A,Xphi:(($i > $o))]: singleton(dsetconstr(A,^[Xx]: Xphi(Xx)))), 25.32/4.23 inference('simplify_rw_rule', [status(thm)], [ex1])). 25.32/4.23 tff('98', plain, 25.32/4.23 ex1 = 25.32/4.23 (^[V_1,V_2:(($i > $o))]: singleton(dsetconstr(V_1,^[V_3]: V_2(V_3)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(singletonprop, axiom, singletonprop <=> 25.32/4.23 (![A,Xphi:(($i > $o))]: 25.32/4.23 ((![Xx]: 25.32/4.23 (in(Xx,A) => 25.32/4.23 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 25.32/4.23 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 25.32/4.23 singleton(dsetconstr(A,^[Xx]: Xphi(Xx))))))). 25.32/4.23 tff('99', plain, 25.32/4.23 singletonprop = 25.32/4.23 (![X4,X6:(($i > $o))]: 25.32/4.23 ((![X8]: 25.32/4.23 (in(X8,X4) => 25.32/4.23 (![X10]: (in(X10,X4) => (X6(X8) => (X6(X10) => (X8 = X10))))))) => 25.32/4.23 ((?[X12]: (X6(X12) & in(X12,X4))) => 25.32/4.23 singleton(dsetconstr(X4,^[V_1]: X6(V_1)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setunionsingleton, axiom, setunionsingleton <=> 25.32/4.23 (![Xx]: (setunion(setadjoin(Xx,emptyset)) = Xx))). 25.32/4.23 tff('100', plain, 25.32/4.23 setunionsingleton = (![X4]: (setunion(setadjoin(X4,emptyset)) = X4)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setunionsingleton2, axiom, setunionsingleton2 <=> 25.32/4.23 (![A]: subset(A,setunion(setadjoin(A,emptyset))))). 25.32/4.23 tff('101', plain, 25.32/4.23 setunionsingleton2 = (![X4]: subset(X4,setunion(setadjoin(X4,emptyset)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setunionsingleton1, axiom, setunionsingleton1 <=> 25.32/4.23 (![A]: subset(setunion(setadjoin(A,emptyset)),A))). 25.32/4.23 tff('102', plain, 25.32/4.23 setunionsingleton1 = (![X4]: subset(setunion(setadjoin(X4,emptyset)),X4)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setunionE2, axiom, setunionE2 <=> 25.32/4.23 (![A,Xx]: (in(Xx,setunion(A)) => (?[X]: (in(Xx,X) & in(X,A)))))). 25.32/4.23 tff('103', plain, 25.32/4.23 setunionE2 = 25.32/4.23 (![X4,X6]: (in(X6,setunion(X4)) => (?[X8]: (in(X6,X8) & in(X8,X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(cartprodmempair, axiom, cartprodmempair <=> 25.32/4.23 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => iskpair(Xu)))). 25.32/4.23 tff('104', plain, 25.32/4.23 cartprodmempair = (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => iskpair(X8))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(cartprodmempair1, axiom, cartprodmempair1 <=> 25.32/4.23 (![A,B,Xu]: 25.32/4.23 (in(Xu,cartprod(A,B)) => 25.32/4.23 (?[Xx]: ((?[Xy]: ((Xu = kpair(Xx,Xy)) & in(Xy,B))) & in(Xx,A)))))). 25.32/4.23 tff('105', plain, 25.32/4.23 cartprodmempair1 = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(X8,cartprod(X4,X6)) => 25.32/4.23 (?[X10]: 25.32/4.23 ((?[X12]: ((X8 = kpair(X10,X12)) & in(X12,X6))) & in(X10,X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(cartprodpairin, axiom, cartprodpairin <=> 25.32/4.23 (![A,B,Xx]: 25.32/4.23 (in(Xx,A) => (![Xy]: (in(Xy,B) => in(kpair(Xx,Xy),cartprod(A,B))))))). 25.32/4.23 tff('106', plain, 25.32/4.23 cartprodpairin = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(X8,X4) => 25.32/4.23 (![X10]: (in(X10,X6) => in(kpair(X8,X10),cartprod(X4,X6)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(ubforcartprodlem3, axiom, ubforcartprodlem3 <=> 25.32/4.23 (![A,B,Xx]: 25.32/4.23 (in(Xx,A) => 25.32/4.23 (![Xy]: 25.32/4.23 (in(Xy,B) => in(kpair(Xx,Xy),powerset(powerset(binunion(A,B))))))))). 25.32/4.23 tff('107', plain, 25.32/4.23 ubforcartprodlem3 = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(X8,X4) => 25.32/4.23 (![X10]: 25.32/4.23 (in(X10,X6) => 25.32/4.23 in(kpair(X8,X10),powerset(powerset(binunion(X4,X6)))))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(ubforcartprodlem2, axiom, ubforcartprodlem2 <=> 25.32/4.23 (![A,B,Xx]: 25.32/4.23 (in(Xx,A) => 25.32/4.23 (![Xy]: 25.32/4.23 (in(Xy,B) => 25.32/4.23 in(setadjoin(setadjoin(Xx,emptyset), 25.32/4.23 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 25.32/4.23 emptyset)), 25.32/4.23 powerset(powerset(binunion(A,B))))))))). 25.32/4.23 tff('108', plain, 25.32/4.23 ubforcartprodlem2 = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(X8,X4) => 25.32/4.23 (![X10]: 25.32/4.23 (in(X10,X6) => 25.32/4.23 in(setadjoin(setadjoin(X8,emptyset), 25.32/4.23 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)), 25.32/4.23 emptyset)), 25.32/4.23 powerset(powerset(binunion(X4,X6)))))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(ubforcartprodlem1, axiom, ubforcartprodlem1 <=> 25.32/4.23 (![A,B,Xx]: 25.32/4.23 (in(Xx,A) => 25.32/4.23 (![Xy]: 25.32/4.23 (in(Xy,B) => 25.32/4.23 subset(setadjoin(setadjoin(Xx,emptyset), 25.32/4.23 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 25.32/4.23 emptyset)), 25.32/4.23 powerset(binunion(A,B)))))))). 25.32/4.23 tff('109', plain, 25.32/4.23 ubforcartprodlem1 = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(X8,X4) => 25.32/4.23 (![X10]: 25.32/4.23 (in(X10,X6) => 25.32/4.23 subset(setadjoin(setadjoin(X8,emptyset), 25.32/4.23 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)), 25.32/4.23 emptyset)), 25.32/4.23 powerset(binunion(X4,X6))))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(upairinpowunion, axiom, upairinpowunion <=> 25.32/4.23 (![A,B,Xx]: 25.32/4.23 (in(Xx,A) => 25.32/4.23 (![Xy]: 25.32/4.23 (in(Xy,B) => 25.32/4.23 in(setadjoin(Xx,setadjoin(Xy,emptyset)),powerset(binunion(A,B)))))))). 25.32/4.23 tff('110', plain, 25.32/4.23 upairinpowunion = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(X8,X4) => 25.32/4.23 (![X10]: 25.32/4.23 (in(X10,X6) => 25.32/4.23 in(setadjoin(X8,setadjoin(X10,emptyset)), 25.32/4.23 powerset(binunion(X4,X6))))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(upairsubunion, axiom, upairsubunion <=> 25.32/4.23 (![A,B,Xx]: 25.32/4.23 (in(Xx,A) => 25.32/4.23 (![Xy]: 25.32/4.23 (in(Xy,B) => 25.32/4.23 subset(setadjoin(Xx,setadjoin(Xy,emptyset)),binunion(A,B))))))). 25.32/4.23 tff('111', plain, 25.32/4.23 upairsubunion = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(X8,X4) => 25.32/4.23 (![X10]: 25.32/4.23 (in(X10,X6) => 25.32/4.23 subset(setadjoin(X8,setadjoin(X10,emptyset)),binunion(X4,X6)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(upairset2E, axiom, upairset2E <=> 25.32/4.23 (![Xx,Xy,Xz]: 25.32/4.23 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xx) | (Xz = Xy))))). 25.32/4.23 tff('112', plain, 25.32/4.23 upairset2E = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(X8,setadjoin(X4,setadjoin(X6,emptyset))) => 25.32/4.23 ((X8 = X4) | (X8 = X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(singletoninpowunion, axiom, singletoninpowunion <=> 25.32/4.23 (![A,B,Xx]: 25.32/4.23 (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(binunion(A,B)))))). 25.32/4.23 tff('113', plain, 25.32/4.23 singletoninpowunion = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(X8,X4) => in(setadjoin(X8,emptyset),powerset(binunion(X4,X6))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(singletoninpowerset, axiom, singletoninpowerset <=> 25.32/4.23 (![A,Xx]: (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(A))))). 25.32/4.23 tff('114', plain, 25.32/4.23 singletoninpowerset = 25.32/4.23 (![X4,X6]: (in(X6,X4) => in(setadjoin(X6,emptyset),powerset(X4)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(singletonsubset, axiom, singletonsubset <=> 25.32/4.23 (![A,Xx]: (in(Xx,A) => subset(setadjoin(Xx,emptyset),A)))). 25.32/4.23 tff('115', plain, 25.32/4.23 singletonsubset = 25.32/4.23 (![X4,X6]: (in(X6,X4) => subset(setadjoin(X6,emptyset),X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(kpairp, axiom, kpairp <=> (![Xx,Xy]: iskpair(kpair(Xx,Xy)))). 25.32/4.23 tff('116', plain, kpairp = (![X4,X6]: iskpair(kpair(X4,X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(kpairiskpair, axiom, kpairiskpair <=> 25.32/4.23 (![Xx,Xy]: 25.32/4.23 iskpair(setadjoin(setadjoin(Xx,emptyset), 25.32/4.23 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 25.32/4.23 emptyset))))). 25.32/4.23 tff('117', plain, 25.32/4.23 kpairiskpair = 25.32/4.23 (![X4,X6]: 25.32/4.23 iskpair(setadjoin(setadjoin(X4,emptyset), 25.32/4.23 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)), 25.32/4.23 emptyset)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setukpairIR, axiom, setukpairIR <=> 25.32/4.23 (![Xx,Xy]: 25.32/4.23 in(Xy, 25.32/4.23 setunion(setadjoin(setadjoin(Xx,emptyset), 25.32/4.23 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 25.32/4.23 emptyset)))))). 25.32/4.23 tff('118', plain, 25.32/4.23 setukpairIR = 25.32/4.23 (![X4,X6]: 25.32/4.23 in(X6, 25.32/4.23 setunion(setadjoin(setadjoin(X4,emptyset), 25.32/4.23 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)), 25.32/4.23 emptyset))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setukpairIL, axiom, setukpairIL <=> 25.32/4.23 (![Xx,Xy]: 25.32/4.23 in(Xx, 25.32/4.23 setunion(setadjoin(setadjoin(Xx,emptyset), 25.32/4.23 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 25.32/4.23 emptyset)))))). 25.32/4.23 tff('119', plain, 25.32/4.23 setukpairIL = 25.32/4.23 (![X4,X6]: 25.32/4.23 in(X4, 25.32/4.23 setunion(setadjoin(setadjoin(X4,emptyset), 25.32/4.23 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)), 25.32/4.23 emptyset))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(secondinupair, axiom, secondinupair <=> 25.32/4.23 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 25.32/4.23 tff('120', plain, 25.32/4.23 secondinupair = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(symdiffIneg2, axiom, symdiffIneg2 <=> 25.32/4.23 (![A,B,Xx]: ((~in(Xx,A)) => ((~in(Xx,B)) => (~in(Xx,symdiff(A,B))))))). 25.32/4.23 tff('121', plain, 25.32/4.23 symdiffIneg2 = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 ((~in(X8,X4)) => ((~in(X8,X6)) => (~in(X8,symdiff(X4,X6)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(symdiffIneg1, axiom, symdiffIneg1 <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => (~in(Xx,symdiff(A,B))))))). 25.32/4.23 tff('122', plain, 25.32/4.23 symdiffIneg1 = 25.32/4.23 (![X4,X6,X8]: (in(X8,X4) => (in(X8,X6) => (~in(X8,symdiff(X4,X6)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(symdiffI2, axiom, symdiffI2 <=> 25.32/4.23 (![A,B,Xx]: ((~in(Xx,A)) => (in(Xx,B) => in(Xx,symdiff(A,B)))))). 25.32/4.23 tff('123', plain, 25.32/4.23 symdiffI2 = 25.32/4.23 (![X4,X6,X8]: ((~in(X8,X4)) => (in(X8,X6) => in(X8,symdiff(X4,X6))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(symdiffI1, axiom, symdiffI1 <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,symdiff(A,B)))))). 25.32/4.23 tff('124', plain, 25.32/4.23 symdiffI1 = 25.32/4.23 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => in(X8,symdiff(X4,X6))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(symdiffE, axiom, symdiffE <=> 25.32/4.23 (![A,B,Xx]: 25.32/4.23 (in(Xx,symdiff(A,B)) => 25.32/4.23 (![Xphi:$o]: 25.32/4.23 ((in(Xx,A) => ((~in(Xx,B)) => Xphi)) => 25.32/4.23 (((~in(Xx,A)) => (in(Xx,B) => Xphi)) => Xphi)))))). 25.32/4.23 tff('125', plain, 25.32/4.23 symdiffE = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(X8,symdiff(X4,X6)) => 25.32/4.23 (![X10:$o]: 25.32/4.23 ((in(X8,X4) => ((~in(X8,X6)) => X10)) => 25.32/4.23 (((~in(X8,X4)) => (in(X8,X6) => X10)) => X10))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setminusSubset1, axiom, setminusSubset1 <=> 25.32/4.23 (![A,B]: ((setminus(A,B) = emptyset) => subset(A,B)))). 25.32/4.23 tff('126', plain, 25.32/4.23 setminusSubset1 = 25.32/4.23 (![X4,X6]: ((setminus(X4,X6) = emptyset) => subset(X4,X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setminusLsub, axiom, setminusLsub <=> (![A,B]: subset(setminus(A,B),A))). 25.32/4.23 tff('127', plain, setminusLsub = (![X4,X6]: subset(setminus(X4,X6),X4)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setminusIRneg, axiom, setminusIRneg <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,B) => (~in(Xx,setminus(A,B)))))). 25.32/4.23 tff('128', plain, 25.32/4.23 setminusIRneg = (![X4,X6,X8]: (in(X8,X6) => (~in(X8,setminus(X4,X6))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setminusILneg, axiom, setminusILneg <=> 25.32/4.23 (![A,B,Xx]: ((~in(Xx,A)) => (~in(Xx,setminus(A,B)))))). 25.32/4.23 tff('129', plain, 25.32/4.23 setminusILneg = 25.32/4.23 (![X4,X6,X8]: ((~in(X8,X4)) => (~in(X8,setminus(X4,X6))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setminusELneg, axiom, setminusELneg <=> 25.32/4.23 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => ((~in(Xx,B)) => (~in(Xx,A)))))). 25.32/4.23 tff('130', plain, 25.32/4.23 setminusELneg = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 ((~in(X8,setminus(X4,X6))) => ((~in(X8,X6)) => (~in(X8,X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setminusERneg, axiom, setminusERneg <=> 25.32/4.23 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => (in(Xx,A) => in(Xx,B))))). 25.32/4.23 tff('131', plain, 25.32/4.23 setminusERneg = 25.32/4.23 (![X4,X6,X8]: ((~in(X8,setminus(X4,X6))) => (in(X8,X4) => in(X8,X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setminusSubset2, axiom, setminusSubset2 <=> 25.32/4.23 (![A,B]: (subset(A,B) => (setminus(A,B) = emptyset)))). 25.32/4.23 tff('132', plain, 25.32/4.23 setminusSubset2 = 25.32/4.23 (![X4,X6]: (subset(X4,X6) => (setminus(X4,X6) = emptyset))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setminusER, axiom, setminusER <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B))))). 25.32/4.23 tff('133', plain, 25.32/4.23 setminusER = (![X4,X6,X8]: (in(X8,setminus(X4,X6)) => (~in(X8,X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setminusEL, axiom, setminusEL <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,setminus(A,B)) => in(Xx,A)))). 25.32/4.23 tff('134', plain, 25.32/4.23 setminusEL = (![X4,X6,X8]: (in(X8,setminus(X4,X6)) => in(X8,X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setminusI, axiom, setminusI <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,setminus(A,B)))))). 25.32/4.23 tff('135', plain, 25.32/4.23 setminusI = 25.32/4.23 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => in(X8,setminus(X4,X6))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(bs114d, axiom, bs114d <=> 25.32/4.23 (![A,B,C]: 25.32/4.23 (binintersect(A,binunion(B,C)) = 25.32/4.23 binunion(binintersect(A,B),binintersect(A,C))))). 25.32/4.23 tff('136', plain, 25.32/4.23 bs114d = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (binintersect(X4,binunion(X6,X8)) = 25.32/4.23 binunion(binintersect(X4,X6),binintersect(X4,X8)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binintersectSubset1, axiom, binintersectSubset1 <=> 25.32/4.23 (![A,B]: ((binintersect(A,B) = A) => subset(A,B)))). 25.32/4.23 tff('137', plain, 25.32/4.23 binintersectSubset1 = 25.32/4.23 (![X4,X6]: ((binintersect(X4,X6) = X4) => subset(X4,X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binintersectSubset4, axiom, binintersectSubset4 <=> 25.32/4.23 (![A,B]: (subset(B,A) => (binintersect(A,B) = B)))). 25.32/4.23 tff('138', plain, 25.32/4.23 binintersectSubset4 = 25.32/4.23 (![X4,X6]: (subset(X6,X4) => (binintersect(X4,X6) = X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binintersectRsub, axiom, binintersectRsub <=> 25.32/4.23 (![A,B]: subset(binintersect(A,B),B))). 25.32/4.23 tff('139', plain, 25.32/4.23 binintersectRsub = (![X4,X6]: subset(binintersect(X4,X6),X6)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(disjointsetsI1, axiom, disjointsetsI1 <=> 25.32/4.23 (![A,B]: 25.32/4.23 ((~(?[Xx]: (in(Xx,B) & in(Xx,A)))) => (binintersect(A,B) = emptyset)))). 25.32/4.23 tff('140', plain, 25.32/4.23 disjointsetsI1 = 25.32/4.23 (![X4,X6]: 25.32/4.23 ((~(?[X8]: (in(X8,X6) & in(X8,X4)))) => 25.32/4.23 (binintersect(X4,X6) = emptyset))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binintersectER, axiom, binintersectER <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,B)))). 25.32/4.23 tff('141', plain, 25.32/4.23 binintersectER = (![X4,X6,X8]: (in(X8,binintersect(X4,X6)) => in(X8,X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binintersectSubset3, axiom, binintersectSubset3 <=> 25.32/4.23 (![A,B]: ((binintersect(A,B) = B) => subset(B,A)))). 25.32/4.23 tff('142', plain, 25.32/4.23 binintersectSubset3 = 25.32/4.23 (![X4,X6]: ((binintersect(X4,X6) = X6) => subset(X6,X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binintersectSubset2, axiom, binintersectSubset2 <=> 25.32/4.23 (![A,B]: (subset(A,B) => (binintersect(A,B) = A)))). 25.32/4.23 tff('143', plain, 25.32/4.23 binintersectSubset2 = 25.32/4.23 (![X4,X6]: (subset(X4,X6) => (binintersect(X4,X6) = X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binintersectLsub, axiom, binintersectLsub <=> 25.32/4.23 (![A,B]: subset(binintersect(A,B),A))). 25.32/4.23 tff('144', plain, 25.32/4.23 binintersectLsub = (![X4,X6]: subset(binintersect(X4,X6),X4)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binintersectEL, axiom, binintersectEL <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,A)))). 25.32/4.23 tff('145', plain, 25.32/4.23 binintersectEL = (![X4,X6,X8]: (in(X8,binintersect(X4,X6)) => in(X8,X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binintersectSubset5, axiom, binintersectSubset5 <=> 25.32/4.23 (![A,B,C]: (subset(C,A) => (subset(C,B) => subset(C,binintersect(A,B)))))). 25.32/4.23 tff('146', plain, 25.32/4.23 binintersectSubset5 = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (subset(X8,X4) => (subset(X8,X6) => subset(X8,binintersect(X4,X6))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binintersectI, axiom, binintersectI <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => in(Xx,binintersect(A,B)))))). 25.32/4.23 tff('147', plain, 25.32/4.23 binintersectI = 25.32/4.23 (![X4,X6,X8]: (in(X8,X4) => (in(X8,X6) => in(X8,binintersect(X4,X6))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binunionRsub, axiom, binunionRsub <=> (![A,B]: subset(B,binunion(A,B)))). 25.32/4.23 tff('148', plain, binunionRsub = (![X4,X6]: subset(X6,binunion(X4,X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binunionLsub, axiom, binunionLsub <=> (![A,B]: subset(A,binunion(A,B)))). 25.32/4.23 tff('149', plain, binunionLsub = (![X4,X6]: subset(X4,binunion(X4,X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binunionE, axiom, binunionE <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,binunion(A,B)) => (in(Xx,A) | in(Xx,B))))). 25.32/4.23 tff('150', plain, 25.32/4.23 binunionE = 25.32/4.23 (![X4,X6,X8]: (in(X8,binunion(X4,X6)) => (in(X8,X4) | in(X8,X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binunionEcases, axiom, binunionEcases <=> 25.32/4.23 (![A,B,Xx,Xphi:$o]: 25.32/4.23 (in(Xx,binunion(A,B)) => 25.32/4.23 ((in(Xx,A) => Xphi) => ((in(Xx,B) => Xphi) => Xphi))))). 25.32/4.23 tff('151', plain, 25.32/4.23 binunionEcases = 25.32/4.23 (![X4,X6,X8,X10:$o]: 25.32/4.23 (in(X8,binunion(X4,X6)) => 25.32/4.23 ((in(X8,X4) => X10) => ((in(X8,X6) => X10) => X10)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binunionIR, axiom, binunionIR <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,B) => in(Xx,binunion(A,B))))). 25.32/4.23 tff('152', plain, 25.32/4.23 binunionIR = (![X4,X6,X8]: (in(X8,X6) => in(X8,binunion(X4,X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(upairset2IR, axiom, upairset2IR <=> 25.32/4.23 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 25.32/4.23 tff('153', plain, 25.32/4.23 upairset2IR = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(binunionIL, axiom, binunionIL <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,A) => in(Xx,binunion(A,B))))). 25.32/4.23 tff('154', plain, 25.32/4.23 binunionIL = (![X4,X6,X8]: (in(X8,X4) => in(X8,binunion(X4,X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(sepSubset, axiom, sepSubset <=> 25.32/4.23 (![A,Xphi:(($i > $o))]: subset(dsetconstr(A,^[Xx]: Xphi(Xx)),A))). 25.32/4.23 tff('155', plain, 25.32/4.23 sepSubset = 25.32/4.23 (![X4,X6:(($i > $o))]: subset(dsetconstr(X4,^[V_1]: X6(V_1)),X4)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(sepInPowerset, axiom, sepInPowerset <=> 25.32/4.23 (![A,Xphi:(($i > $o))]: in(dsetconstr(A,^[Xx]: Xphi(Xx)),powerset(A)))). 25.32/4.23 tff('156', plain, 25.32/4.23 sepInPowerset = 25.32/4.23 (![X4,X6:(($i > $o))]: in(dsetconstr(X4,^[V_1]: X6(V_1)),powerset(X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(powersetsubset, axiom, powersetsubset <=> 25.32/4.23 (![A,B]: (subset(A,B) => subset(powerset(A),powerset(B))))). 25.32/4.23 tff('157', plain, 25.32/4.23 powersetsubset = 25.32/4.23 (![X4,X6]: (subset(X4,X6) => subset(powerset(X4),powerset(X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(inPowerset, axiom, inPowerset <=> (![A]: in(A,powerset(A)))). 25.32/4.23 tff('158', plain, inPowerset = (![X4]: in(X4,powerset(X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(powersetE1, axiom, powersetE1 <=> 25.32/4.23 (![A,B]: (in(B,powerset(A)) => subset(B,A)))). 25.32/4.23 tff('159', plain, 25.32/4.23 powersetE1 = (![X4,X6]: (in(X6,powerset(X4)) => subset(X6,X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(powersetI1, axiom, powersetI1 <=> 25.32/4.23 (![A,B]: (subset(B,A) => in(B,powerset(A))))). 25.32/4.23 tff('160', plain, 25.32/4.23 powersetI1 = (![X4,X6]: (subset(X6,X4) => in(X6,powerset(X4)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(subsetemptysetimpeq, axiom, subsetemptysetimpeq <=> 25.32/4.23 (![A]: (subset(A,emptyset) => (A = emptyset)))). 25.32/4.23 tff('161', plain, 25.32/4.23 subsetemptysetimpeq = (![X4]: (subset(X4,emptyset) => (X4 = emptyset))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setextsub, axiom, setextsub <=> 25.32/4.23 (![A,B]: (subset(A,B) => (subset(B,A) => (A = B))))). 25.32/4.23 tff('162', plain, 25.32/4.23 setextsub = (![X4,X6]: (subset(X4,X6) => (subset(X6,X4) => (X4 = X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(subset2powerset, axiom, subset2powerset <=> 25.32/4.23 (![A,B]: (subset(A,B) => in(A,powerset(B))))). 25.32/4.23 tff('163', plain, 25.32/4.23 subset2powerset = (![X4,X6]: (subset(X4,X6) => in(X4,powerset(X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setadjoinSub2, axiom, setadjoinSub2 <=> 25.32/4.23 (![A,Xx,B]: (subset(A,B) => subset(A,setadjoin(Xx,B))))). 25.32/4.23 tff('164', plain, 25.32/4.23 setadjoinSub2 = 25.32/4.23 (![X4,X6,X8]: (subset(X4,X8) => subset(X4,setadjoin(X6,X8)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setadjoinSub, axiom, setadjoinSub <=> 25.32/4.23 (![Xx,A]: subset(A,setadjoin(Xx,A)))). 25.32/4.23 tff('165', plain, setadjoinSub = (![X4,X6]: subset(X6,setadjoin(X4,X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(subsetTrans, axiom, subsetTrans <=> 25.32/4.23 (![A,B,C]: (subset(A,B) => (subset(B,C) => subset(A,C))))). 25.32/4.23 tff('166', plain, 25.32/4.23 subsetTrans = 25.32/4.23 (![X4,X6,X8]: (subset(X4,X6) => (subset(X6,X8) => subset(X4,X8)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(subsetRefl, axiom, subsetRefl <=> (![A]: subset(A,A))). 25.32/4.23 tff('167', plain, subsetRefl = (![X4]: subset(X4,X4)), define([status(thm)])). 25.32/4.23 tff(notequalI2, axiom, notequalI2 <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (A != B))))). 25.32/4.23 tff('168', plain, 25.32/4.23 notequalI2 = (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => (X4 != X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(notequalI1, axiom, notequalI1 <=> (![A,B]: ((~subset(A,B)) => (A != B)))). 25.32/4.23 tff('169', plain, notequalI1 = (![X4,X6]: ((~subset(X4,X6)) => (X4 != X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(notsubsetI, axiom, notsubsetI <=> 25.32/4.23 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (~subset(A,B)))))). 25.32/4.23 tff('170', plain, 25.32/4.23 notsubsetI = 25.32/4.23 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => (~subset(X4,X6))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(subsetE2, axiom, subsetE2 <=> 25.32/4.23 (![A,B,Xx]: (subset(A,B) => ((~in(Xx,B)) => (~in(Xx,A)))))). 25.32/4.23 tff('171', plain, 25.32/4.23 subsetE2 = 25.32/4.23 (![X4,X6,X8]: (subset(X4,X6) => ((~in(X8,X6)) => (~in(X8,X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(subsetE, axiom, subsetE <=> 25.32/4.23 (![A,B,Xx]: (subset(A,B) => (in(Xx,A) => in(Xx,B))))). 25.32/4.23 tff('172', plain, 25.32/4.23 subsetE = (![X4,X6,X8]: (subset(X4,X6) => (in(X8,X4) => in(X8,X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(emptysetsubset, axiom, emptysetsubset <=> (![A]: subset(emptyset,A))). 25.32/4.23 tff('173', plain, emptysetsubset = (![X4]: subset(emptyset,X4)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(subsetI2, axiom, subsetI2 <=> 25.32/4.23 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 25.32/4.23 tff('174', plain, 25.32/4.23 subsetI2 = 25.32/4.23 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(eqimpsubset1, axiom, eqimpsubset1 <=> (![A,B]: ((A = B) => subset(A,B)))). 25.32/4.23 tff('175', plain, eqimpsubset1 = (![X4,X6]: ((X4 = X6) => subset(X4,X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(eqimpsubset2, axiom, eqimpsubset2 <=> (![A,B]: ((A = B) => subset(B,A)))). 25.32/4.23 tff('176', plain, eqimpsubset2 = (![X4,X6]: ((X4 = X6) => subset(X6,X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(subsetI1, axiom, subsetI1 <=> 25.32/4.23 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 25.32/4.23 tff('177', plain, 25.32/4.23 subsetI1 = 25.32/4.23 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(dsetconstr__Cong, axiom, dsetconstr__Cong <=> 25.32/4.23 (![A,B]: 25.32/4.23 ((A = B) => 25.32/4.23 (![Xphi:(($i > $o)),Xpsi:(($i > $o))]: 25.32/4.23 ((![Xx]: 25.32/4.23 (in(Xx,A) => 25.32/4.23 (![Xy]: (in(Xy,B) => ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy))))))) => 25.32/4.23 (dsetconstr(A,^[Xx]: Xphi(Xx)) = dsetconstr(B,^[Xx]: Xpsi(Xx)))))))). 25.32/4.23 tff('178', plain, 25.32/4.23 dsetconstr__Cong = 25.32/4.23 (![X4,X6]: 25.32/4.23 ((X4 = X6) => 25.32/4.23 (![X8:(($i > $o)),X10:(($i > $o))]: 25.32/4.23 ((![X12]: 25.32/4.23 (in(X12,X4) => 25.32/4.23 (![X14]: 25.32/4.23 (in(X14,X6) => ((X12 = X14) => (X8(X12) <=> X10(X14))))))) => 25.32/4.23 (dsetconstr(X4,^[V_1]: X8(V_1)) = dsetconstr(X6,^[V_2]: X10(V_2))))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(descr__Cong, axiom, descr__Cong <=> 25.32/4.23 (![Xphi:(($i > $o)),Xpsi:(($i > $o))]: 25.32/4.23 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 25.32/4.23 (exu(^[Xx]: Xphi(Xx)) => 25.32/4.23 (exu(^[Xx]: Xpsi(Xx)) => 25.32/4.23 (descr(^[Xx]: Xphi(Xx)) = descr(^[Xx]: Xpsi(Xx)))))))). 25.32/4.23 tff('179', plain, 25.32/4.23 descr__Cong = 25.32/4.23 (![X4:(($i > $o)),X6:(($i > $o))]: 25.32/4.23 ((![X8,X10]: ((X8 = X10) => (X4(X8) <=> X6(X10)))) => 25.32/4.23 (exu(^[V_1]: X4(V_1)) => 25.32/4.23 (exu(^[V_2]: X6(V_2)) => 25.32/4.23 (descr(^[V_3]: X4(V_3)) = descr(^[V_4]: X6(V_4))))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(exuEu, axiom, exuEu <=> 25.32/4.23 (![Xphi:(($i > $o))]: 25.32/4.23 (exu(^[Xx]: Xphi(Xx)) => 25.32/4.23 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 25.32/4.23 tff('180', plain, 25.32/4.23 exuEu = 25.32/4.23 (![X4:(($i > $o))]: 25.32/4.23 (exu(^[V_1]: X4(V_1)) => (![X6,X8]: (X4(X6) => (X4(X8) => (X6 = X8)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(omega__Cong, axiom, omega__Cong <=> (omega = omega)). 25.32/4.23 tff('181', plain, omega__Cong = (omega = omega), define([status(thm)])). 25.32/4.23 tff(setunion__Cong, axiom, setunion__Cong <=> 25.32/4.23 (![A,B]: ((A = B) => (setunion(A) = setunion(B))))). 25.32/4.23 tff('182', plain, 25.32/4.23 setunion__Cong = (![X4,X6]: ((X4 = X6) => (setunion(X4) = setunion(X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(powerset__Cong, axiom, powerset__Cong <=> 25.32/4.23 (![A,B]: ((A = B) => (powerset(A) = powerset(B))))). 25.32/4.23 tff('183', plain, 25.32/4.23 powerset__Cong = (![X4,X6]: ((X4 = X6) => (powerset(X4) = powerset(X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setadjoin__Cong, axiom, setadjoin__Cong <=> 25.32/4.23 (![Xx,Xy]: 25.32/4.23 ((Xx = Xy) => 25.32/4.23 (![Xz,Xu]: ((Xz = Xu) => (setadjoin(Xx,Xz) = setadjoin(Xy,Xu))))))). 25.32/4.23 tff('184', plain, 25.32/4.23 setadjoin__Cong = 25.32/4.23 (![X4,X6]: 25.32/4.23 ((X4 = X6) => 25.32/4.23 (![X8,X10]: ((X8 = X10) => (setadjoin(X4,X8) = setadjoin(X6,X10)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(emptyset__Cong, axiom, emptyset__Cong <=> (emptyset = emptyset)). 25.32/4.23 tff('185', plain, emptyset__Cong = (emptyset = emptyset), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(exu__Cong, axiom, exu__Cong <=> 25.32/4.23 (![Xphi:(($i > $o)),Xpsi:(($i > $o))]: 25.32/4.23 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 25.32/4.23 (exu(^[Xx]: Xphi(Xx)) <=> exu(^[Xx]: Xpsi(Xx)))))). 25.32/4.23 tff('186', plain, 25.32/4.23 exu__Cong = 25.32/4.23 (![X4:(($i > $o)),X6:(($i > $o))]: 25.32/4.23 ((![X8,X10]: ((X8 = X10) => (X4(X8) <=> X6(X10)))) => 25.32/4.23 (exu(^[V_1]: X4(V_1)) <=> exu(^[V_2]: X6(V_2))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(exuE3u, axiom, exuE3u <=> 25.32/4.23 (![Xphi:(($i > $o))]: 25.32/4.23 (exu(^[Xx]: Xphi(Xx)) => 25.32/4.23 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 25.32/4.23 tff('187', plain, 25.32/4.23 exuE3u = 25.32/4.23 (![X4:(($i > $o))]: 25.32/4.23 (exu(^[V_1]: X4(V_1)) => (![X6,X8]: (X4(X6) => (X4(X8) => (X6 = X8)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(in__Cong, axiom, in__Cong <=> 25.32/4.23 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) <=> in(Xy,B))))))). 25.32/4.23 tff('188', plain, 25.32/4.23 in__Cong = 25.32/4.23 (![X4,X6]: 25.32/4.23 ((X4 = X6) => (![X8,X10]: ((X8 = X10) => (in(X8,X4) <=> in(X10,X6)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(inCongP, axiom, inCongP <=> 25.32/4.23 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) => in(Xy,B))))))). 25.32/4.23 tff('189', plain, 25.32/4.23 inCongP = 25.32/4.23 (![X4,X6]: 25.32/4.23 ((X4 = X6) => (![X8,X10]: ((X8 = X10) => (in(X8,X4) => in(X10,X6)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(exuI2, axiom, exuI2 <=> 25.32/4.23 (![Xphi:(($i > $o))]: 25.32/4.23 ((?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx)))) => exu(^[Xx]: Xphi(Xx))))). 25.32/4.23 tff('190', plain, 25.32/4.23 exuI2 = 25.32/4.23 (![X4:(($i > $o))]: 25.32/4.23 ((?[X6]: (![X8]: (X4(X8) <=> (X8 = X6)))) => exu(^[V_1]: X4(V_1)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(exuI3, axiom, exuI3 <=> 25.32/4.23 (![Xphi:(($i > $o))]: 25.32/4.23 ((?[Xx]: Xphi(Xx)) => 25.32/4.23 ((![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))) => 25.32/4.23 exu(^[Xx]: Xphi(Xx)))))). 25.32/4.23 tff('191', plain, 25.32/4.23 exuI3 = 25.32/4.23 (![X4:(($i > $o))]: 25.32/4.23 ((?[X6]: X4(X6)) => 25.32/4.23 ((![X8,X10]: (X4(X8) => (X4(X10) => (X8 = X10)))) => 25.32/4.23 exu(^[V_1]: X4(V_1))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(exuI1, axiom, exuI1 <=> 25.32/4.23 (![Xphi:(($i > $o))]: 25.32/4.23 ((?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx))) => 25.32/4.23 exu(^[Xx]: Xphi(Xx))))). 25.32/4.23 tff('192', plain, 25.32/4.23 exuI1 = 25.32/4.23 (![X4:(($i > $o))]: 25.32/4.23 ((?[X6]: ((![X8]: (X4(X8) => (X6 = X8))) & X4(X6))) => 25.32/4.23 exu(^[V_1]: X4(V_1)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(notdallE, axiom, notdallE <=> 25.32/4.23 (![A,Xphi:(($i > $o))]: 25.32/4.23 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 25.32/4.23 tff('193', plain, 25.32/4.23 notdallE = 25.32/4.23 (![X4,X6:(($i > $o))]: 25.32/4.23 ((~(![X8]: (in(X8,X4) => X6(X8)))) => 25.32/4.23 (?[X10]: ((~X6(X10)) & in(X10,X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(notdexE, axiom, notdexE <=> 25.32/4.23 (![A,Xphi:(($i > $o))]: 25.32/4.23 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 25.32/4.23 tff('194', plain, 25.32/4.23 notdexE = 25.32/4.23 (![X4,X6:(($i > $o))]: 25.32/4.23 ((~(?[X8]: (X6(X8) & in(X8,X4)))) => 25.32/4.23 (![X10]: (in(X10,X4) => (~X6(X10)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(prop2set2propI, axiom, prop2set2propI <=> 25.32/4.23 (![Xphi:$o]: (Xphi => set2prop(prop2set(Xphi))))). 25.32/4.23 tff('195', plain, 25.32/4.23 prop2set2propI = (![X4:$o]: (X4 => set2prop(prop2set(X4)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(prop2setI, axiom, prop2setI <=> 25.32/4.23 (![Xphi:$o]: (Xphi => in(emptyset,prop2set(Xphi))))). 25.32/4.23 tff('196', plain, prop2setI = (![X4:$o]: (X4 => in(emptyset,prop2set(X4)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(quantDeMorgan4, axiom, quantDeMorgan4 <=> 25.32/4.23 (![A,Xphi:(($i > $o))]: 25.32/4.23 ((?[Xx]: ((~Xphi(Xx)) & in(Xx,A))) => (~(![Xx]: (in(Xx,A) => Xphi(Xx))))))). 25.32/4.23 tff('197', plain, 25.32/4.23 quantDeMorgan4 = 25.32/4.23 (![X4,X6:(($i > $o))]: 25.32/4.23 ((?[X8]: ((~X6(X8)) & in(X8,X4))) => 25.32/4.23 (~(![X10]: (in(X10,X4) => X6(X10)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(quantDeMorgan3, axiom, quantDeMorgan3 <=> 25.32/4.23 (![A,Xphi:(($i > $o))]: 25.32/4.23 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 25.32/4.23 tff('198', plain, 25.32/4.23 quantDeMorgan3 = 25.32/4.23 (![X4,X6:(($i > $o))]: 25.32/4.23 ((~(?[X8]: (X6(X8) & in(X8,X4)))) => 25.32/4.23 (![X10]: (in(X10,X4) => (~X6(X10)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(quantDeMorgan2, axiom, quantDeMorgan2 <=> 25.32/4.23 (![A,Xphi:(($i > $o))]: 25.32/4.23 ((![Xx]: (in(Xx,A) => (~Xphi(Xx)))) => (~(?[Xx]: (Xphi(Xx) & in(Xx,A))))))). 25.32/4.23 tff('199', plain, 25.32/4.23 quantDeMorgan2 = 25.32/4.23 (![X4,X6:(($i > $o))]: 25.32/4.23 ((![X8]: (in(X8,X4) => (~X6(X8)))) => 25.32/4.23 (~(?[X10]: (X6(X10) & in(X10,X4)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(quantDeMorgan1, axiom, quantDeMorgan1 <=> 25.32/4.23 (![A,Xphi:(($i > $o))]: 25.32/4.23 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 25.32/4.23 tff('200', plain, 25.32/4.23 quantDeMorgan1 = 25.32/4.23 (![X4,X6:(($i > $o))]: 25.32/4.23 ((~(![X8]: (in(X8,X4) => X6(X8)))) => 25.32/4.23 (?[X10]: ((~X6(X10)) & in(X10,X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(vacuousDall, axiom, vacuousDall <=> 25.32/4.23 (![Xphi:(($i > $o)),Xx]: (in(Xx,emptyset) => Xphi(Xx)))). 25.32/4.23 tff('201', plain, 25.32/4.23 vacuousDall = (![X4:(($i > $o)),X6]: (in(X6,emptyset) => X4(X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(emptyE1, axiom, emptyE1 <=> 25.32/4.23 (![A,Xphi:(($i > $o))]: 25.32/4.23 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 25.32/4.23 ((dsetconstr(A,^[Xx]: Xphi(Xx)) = emptyset) => $false)))). 25.32/4.23 tff('202', plain, 25.32/4.23 emptyE1 = 25.32/4.23 (![X4,X6:(($i > $o))]: 25.32/4.23 ((?[X8]: (X6(X8) & in(X8,X4))) => 25.32/4.23 ((dsetconstr(X4,^[V_1]: X6(V_1)) = emptyset) => $false))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(upairsetIR, axiom, upairsetIR <=> 25.32/4.23 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 25.32/4.23 tff('203', plain, 25.32/4.23 upairsetIR = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(upairsetIL, axiom, upairsetIL <=> 25.32/4.23 (![Xx,Xy]: in(Xx,setadjoin(Xx,setadjoin(Xy,emptyset))))). 25.32/4.23 tff('204', plain, 25.32/4.23 upairsetIL = (![X4,X6]: in(X4,setadjoin(X4,setadjoin(X6,emptyset)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(upairsetE, axiom, upairsetE <=> 25.32/4.23 (![Xx,Xy,Xz]: 25.32/4.23 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xx) | (Xz = Xy))))). 25.32/4.23 tff('205', plain, 25.32/4.23 upairsetE = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(X8,setadjoin(X4,setadjoin(X6,emptyset))) => 25.32/4.23 ((X8 = X4) | (X8 = X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(singletonsswitch, axiom, singletonsswitch <=> 25.32/4.23 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => in(Xy,setadjoin(Xx,emptyset))))). 25.32/4.23 tff('206', plain, 25.32/4.23 singletonsswitch = 25.32/4.23 (![X4,X6]: 25.32/4.23 (in(X4,setadjoin(X6,emptyset)) => in(X6,setadjoin(X4,emptyset)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(eqinunit, axiom, eqinunit <=> 25.32/4.23 (![Xx,Xy]: ((Xx = Xy) => in(Xx,setadjoin(Xy,emptyset))))). 25.32/4.23 tff('207', plain, 25.32/4.23 eqinunit = (![X4,X6]: ((X4 = X6) => in(X4,setadjoin(X6,emptyset)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(notinsingleton, axiom, notinsingleton <=> 25.32/4.23 (![Xx,Xy]: ((Xx != Xy) => (~in(Xy,setadjoin(Xx,emptyset)))))). 25.32/4.23 tff('208', plain, 25.32/4.23 notinsingleton = 25.32/4.23 (![X4,X6]: ((X4 != X6) => (~in(X6,setadjoin(X4,emptyset))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(uniqinunit, axiom, uniqinunit <=> 25.32/4.23 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => (Xx = Xy)))). 25.32/4.23 tff('209', plain, 25.32/4.23 uniqinunit = (![X4,X6]: (in(X4,setadjoin(X6,emptyset)) => (X4 = X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(nonemptyImpWitness, axiom, nonemptyImpWitness <=> 25.32/4.23 (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))). 25.32/4.23 tff('210', plain, 25.32/4.23 nonemptyImpWitness = (![X4]: (nonempty(X4) => (?[X6]: in(X6,X4)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(exuE2, axiom, exuE2 <=> 25.32/4.23 (![Xphi:(($i > $o))]: 25.32/4.23 (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx))))))). 25.32/4.23 tff('211', plain, 25.32/4.23 exuE2 = 25.32/4.23 (![X4:(($i > $o))]: 25.32/4.23 (exu(^[V_1]: X4(V_1)) => (?[X6]: (![X8]: (X4(X8) <=> (X8 = X6)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(subPowSU, axiom, subPowSU <=> 25.32/4.23 (![A,Xx]: (in(Xx,A) => in(Xx,powerset(setunion(A)))))). 25.32/4.23 tff('212', plain, 25.32/4.23 subPowSU = (![X4,X6]: (in(X6,X4) => in(X6,powerset(setunion(X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setunionE, axiom, setunionE <=> 25.32/4.23 (![A,Xx]: 25.32/4.23 (in(Xx,setunion(A)) => 25.32/4.23 (![Xphi:$o]: ((![B]: (in(Xx,B) => (in(B,A) => Xphi))) => Xphi))))). 25.32/4.23 tff('213', plain, 25.32/4.23 setunionE = 25.32/4.23 (![X4,X6]: 25.32/4.23 (in(X6,setunion(X4)) => 25.32/4.23 (![X8:$o]: ((![X10]: (in(X6,X10) => (in(X10,X4) => X8))) => X8)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setunionI, axiom, setunionI <=> 25.32/4.23 (![A,Xx,B]: (in(Xx,B) => (in(B,A) => in(Xx,setunion(A)))))). 25.32/4.23 tff('214', plain, 25.32/4.23 setunionI = 25.32/4.23 (![X4,X6,X8]: (in(X6,X8) => (in(X8,X4) => in(X6,setunion(X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(powersetE, axiom, powersetE <=> 25.32/4.23 (![A,B,Xx]: (in(B,powerset(A)) => (in(Xx,B) => in(Xx,A))))). 25.32/4.23 tff('215', plain, 25.32/4.23 powersetE = 25.32/4.23 (![X4,X6,X8]: (in(X6,powerset(X4)) => (in(X8,X6) => in(X8,X4)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(emptyInPowerset, axiom, emptyInPowerset <=> 25.32/4.23 (![A]: in(emptyset,powerset(A)))). 25.32/4.23 tff('216', plain, emptyInPowerset = (![X4]: in(emptyset,powerset(X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(emptyinPowerset, axiom, emptyinPowerset <=> 25.32/4.23 (![A]: in(emptyset,powerset(A)))). 25.32/4.23 tff('217', plain, emptyinPowerset = (![X4]: in(emptyset,powerset(X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(powersetI, axiom, powersetI <=> 25.32/4.23 (![A,B]: ((![Xx]: (in(Xx,B) => in(Xx,A))) => in(B,powerset(A))))). 25.32/4.23 tff('218', plain, 25.32/4.23 powersetI = 25.32/4.23 (![X4,X6]: ((![X8]: (in(X8,X6) => in(X8,X4))) => in(X6,powerset(X4)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setoftrueEq, axiom, setoftrueEq <=> 25.32/4.23 (![A]: (dsetconstr(A,^[Xx]: $true) = A))). 25.32/4.23 tff('219', plain, setoftrueEq = (![X4]: (dsetconstr(X4,^[V_1]: $true) = X4)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setadjoinOr, axiom, setadjoinOr <=> 25.32/4.23 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) => ((Xy = Xx) | in(Xy,A))))). 25.32/4.23 tff('220', plain, 25.32/4.23 setadjoinOr = 25.32/4.23 (![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) => ((X8 = X4) | in(X8,X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setadjoinE, axiom, setadjoinE <=> 25.32/4.23 (![Xx,A,Xy]: 25.32/4.23 (in(Xy,setadjoin(Xx,A)) => 25.32/4.23 (![Xphi:$o]: (((Xy = Xx) => Xphi) => ((in(Xy,A) => Xphi) => Xphi)))))). 25.32/4.23 tff('221', plain, 25.32/4.23 setadjoinE = 25.32/4.23 (![X4,X6,X8]: 25.32/4.23 (in(X8,setadjoin(X4,X6)) => 25.32/4.23 (![X10:$o]: (((X8 = X4) => X10) => ((in(X8,X6) => X10) => X10))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setadjoinIR, axiom, setadjoinIR <=> 25.32/4.23 (![Xx,A,Xy]: (in(Xy,A) => in(Xy,setadjoin(Xx,A))))). 25.32/4.23 tff('222', plain, 25.32/4.23 setadjoinIR = (![X4,X6,X8]: (in(X8,X6) => in(X8,setadjoin(X4,X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(emptyinunitempty, axiom, emptyinunitempty() = 25.32/4.23 in(emptyset,setadjoin(emptyset,emptyset))). 25.32/4.23 tff('223', plain, 25.32/4.23 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 25.32/4.23 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 25.32/4.23 tff('224', plain, 25.32/4.23 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setadjoinIL, axiom, setadjoinIL <=> (![Xx,Xy]: in(Xx,setadjoin(Xx,Xy)))). 25.32/4.23 tff('225', plain, setadjoinIL = (![X4,X6]: in(X4,setadjoin(X4,X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(nonemptyI1, axiom, nonemptyI1 <=> 25.32/4.23 (![A]: ((?[Xx]: in(Xx,A)) => nonempty(A)))). 25.32/4.23 tff('226', plain, nonemptyI1 = (![X4]: ((?[X6]: in(X6,X4)) => nonempty(X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(nonemptyI, axiom, nonemptyI <=> 25.32/4.23 (![A,Xphi:(($i > $o)),Xx]: 25.32/4.23 (in(Xx,A) => (Xphi(Xx) => nonempty(dsetconstr(A,^[Xy]: Xphi(Xy))))))). 25.32/4.23 tff('227', plain, 25.32/4.23 nonemptyI = 25.32/4.23 (![X4,X6:(($i > $o)),X8]: 25.32/4.23 (in(X8,X4) => (X6(X8) => nonempty(dsetconstr(X4,^[V_1]: X6(V_1)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(nonemptyE1, axiom, nonemptyE1 <=> 25.32/4.23 (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))). 25.32/4.23 tff('228', plain, nonemptyE1 = (![X4]: (nonempty(X4) => (?[X6]: in(X6,X4)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(nonempty, axiom, nonempty() = ^[Xx]: (Xx != emptyset)). 25.32/4.23 tff('229', plain, nonempty = (^[Xx]: (Xx != emptyset)), 25.32/4.23 inference('simplify_rw_rule', [status(thm)], [nonempty])). 25.32/4.23 tff('230', plain, nonempty = (^[V_1]: (V_1 != emptyset)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setbeta, axiom, setbeta <=> 25.32/4.23 (![A,Xphi:(($i > $o)),Xx]: 25.32/4.23 (in(Xx,A) => (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) <=> Xphi(Xx))))). 25.32/4.23 tff('231', plain, 25.32/4.23 setbeta = 25.32/4.23 (![X4,X6:(($i > $o)),X8]: 25.32/4.23 (in(X8,X4) => (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) <=> X6(X8)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(noeltsimpempty, axiom, noeltsimpempty <=> 25.32/4.23 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 25.32/4.23 tff('232', plain, 25.32/4.23 noeltsimpempty = (![X4]: ((![X6]: (~in(X6,X4))) => (X4 = emptyset))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(emptyI, axiom, emptyI <=> 25.32/4.23 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 25.32/4.23 tff('233', plain, 25.32/4.23 emptyI = (![X4]: ((![X6]: (~in(X6,X4))) => (X4 = emptyset))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setext, axiom, setext <=> 25.32/4.23 (![A,B]: 25.32/4.23 ((![Xx]: (in(Xx,A) => in(Xx,B))) => 25.32/4.23 ((![Xx]: (in(Xx,B) => in(Xx,A))) => (A = B))))). 25.32/4.23 tff('234', plain, 25.32/4.23 setext = 25.32/4.23 (![X4,X6]: 25.32/4.23 ((![X8]: (in(X8,X4) => in(X8,X6))) => 25.32/4.23 ((![X10]: (in(X10,X6) => in(X10,X4))) => (X4 = X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(exuE3e, axiom, exuE3e <=> 25.32/4.23 (![Xphi:(($i > $o))]: (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: Xphi(Xx))))). 25.32/4.23 tff('235', plain, 25.32/4.23 exuE3e = (![X4:(($i > $o))]: (exu(^[V_1]: X4(V_1)) => (?[X6]: X4(X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(notinemptyset, axiom, notinemptyset <=> (![Xx]: (~in(Xx,emptyset)))). 25.32/4.23 tff('236', plain, notinemptyset = (![X4]: (~in(X4,emptyset))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(emptysetimpfalse, axiom, emptysetimpfalse <=> 25.32/4.23 (![Xx]: (in(Xx,emptyset) => $false))). 25.32/4.23 tff('237', plain, emptysetimpfalse = (![X4]: (in(X4,emptyset) => $false)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(emptysetE, axiom, emptysetE <=> 25.32/4.23 (![Xx]: (in(Xx,emptyset) => (![Xphi:$o]: Xphi)))). 25.32/4.23 tff('238', plain, emptysetE = (![X4]: (in(X4,emptyset) => (![X6:$o]: X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(prop2setE, axiom, prop2setE <=> 25.32/4.23 (![Xphi:$o,Xx]: (in(Xx,prop2set(Xphi)) => Xphi))). 25.32/4.23 tff('239', plain, prop2setE = (![X4:$o,X6]: (in(X6,prop2set(X4)) => X4)), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(exuE1, axiom, exuE1 <=> 25.32/4.23 (![Xphi:(($i > $o))]: 25.32/4.23 (exu(^[Xx]: Xphi(Xx)) => 25.32/4.23 (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))))). 25.32/4.23 tff('240', plain, 25.32/4.23 exuE1 = 25.32/4.23 (![X4:(($i > $o))]: 25.32/4.23 (exu(^[V_1]: X4(V_1)) => 25.32/4.23 (?[X6]: ((![X8]: (X4(X8) => (X6 = X8))) & X4(X6))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(dsetconstrER, axiom, dsetconstrER <=> 25.32/4.23 (![A,Xphi:(($i > $o)),Xx]: 25.32/4.23 (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => Xphi(Xx)))). 25.32/4.23 tff('241', plain, 25.32/4.23 dsetconstrER = 25.32/4.23 (![X4,X6:(($i > $o)),X8]: 25.32/4.23 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => X6(X8))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(dsetconstrEL, axiom, dsetconstrEL <=> 25.32/4.23 (![A,Xphi:(($i > $o)),Xx]: 25.32/4.23 (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => in(Xx,A)))). 25.32/4.23 tff('242', plain, 25.32/4.23 dsetconstrEL = 25.32/4.23 (![X4,X6:(($i > $o)),X8]: 25.32/4.23 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => in(X8,X4))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(dsetconstrI, axiom, dsetconstrI <=> 25.32/4.23 (![A,Xphi:(($i > $o)),Xx]: 25.32/4.23 (in(Xx,A) => (Xphi(Xx) => in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))))))). 25.32/4.23 tff('243', plain, 25.32/4.23 dsetconstrI = 25.32/4.23 (![X4,X6:(($i > $o)),X8]: 25.32/4.23 (in(X8,X4) => (X6(X8) => in(X8,dsetconstr(X4,^[V_1]: X6(V_1)))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(descrp, axiom, descrp <=> 25.32/4.23 (![Xphi:(($i > $o))]: 25.32/4.23 (exu(^[Xx]: Xphi(Xx)) => Xphi(descr(^[Xx]: Xphi(Xx)))))). 25.32/4.23 tff('244', plain, 25.32/4.23 descrp = 25.32/4.23 (![X4:(($i > $o))]: (exu(^[V_1]: X4(V_1)) => X4(descr(^[V_2]: X4(V_2))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(wellorderingAx, axiom, wellorderingAx <=> 25.32/4.23 (![A]: 25.32/4.23 (?[B]: 25.32/4.23 ((![C]: 25.32/4.23 (((![Xx]: (in(Xx,C) => in(Xx,A))) & (?[Xx]: in(Xx,C))) => 25.32/4.23 (?[D,Xx]: 25.32/4.23 ((![E]: 25.32/4.23 (in(E,B) => ((![Xy]: (in(Xy,E) => in(Xy,D))) | in(Xx,E)))) & 25.32/4.23 (~(?[Xy]: (in(Xy,C) & in(Xy,D)))) & in(Xx,C) & in(D,B))))) & 25.32/4.23 (![C,D]: 25.32/4.23 ((in(C,B) & in(D,B)) => 25.32/4.23 ((![Xx]: (in(Xx,C) => in(Xx,D))) | 25.32/4.23 (![Xx]: (in(Xx,D) => in(Xx,C)))))) & 25.32/4.23 (![Xx,Xy]: 25.32/4.23 ((in(Xx,A) & in(Xy,A)) => 25.32/4.23 ((![C]: (in(C,B) => (in(Xx,C) <=> in(Xy,C)))) => (Xx = Xy)))) & 25.32/4.23 (![C]: (in(C,B) => (![Xx]: (in(Xx,C) => in(Xx,A))))))))). 25.32/4.23 tff('245', plain, 25.32/4.23 wellorderingAx = 25.32/4.23 (![X4]: 25.32/4.23 (?[X6]: 25.32/4.23 ((![X8]: 25.32/4.23 (((![X10]: (in(X10,X8) => in(X10,X4))) & (?[X12]: in(X12,X8))) => 25.32/4.23 (?[X14,X16]: 25.32/4.23 ((![X18]: 25.32/4.23 (in(X18,X6) => 25.32/4.23 ((![X20]: (in(X20,X18) => in(X20,X14))) | in(X16,X18)))) & 25.32/4.23 (~(?[X22]: (in(X22,X8) & in(X22,X14)))) & in(X16,X8) & 25.32/4.23 in(X14,X6))))) & 25.32/4.23 (![X24,X26]: 25.32/4.23 ((in(X24,X6) & in(X26,X6)) => 25.32/4.23 ((![X28]: (in(X28,X24) => in(X28,X26))) | 25.32/4.23 (![X30]: (in(X30,X26) => in(X30,X24)))))) & 25.32/4.23 (![X32,X34]: 25.32/4.23 ((in(X32,X4) & in(X34,X4)) => 25.32/4.23 ((![X36]: (in(X36,X6) => (in(X32,X36) <=> in(X34,X36)))) => 25.32/4.23 (X32 = X34)))) & 25.32/4.23 (![X38]: (in(X38,X6) => (![X40]: (in(X40,X38) => in(X40,X4)))))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(foundationAx, axiom, foundationAx <=> 25.32/4.23 (![A]: 25.32/4.23 ((?[Xx]: in(Xx,A)) => 25.32/4.23 (?[B]: ((~(?[Xx]: (in(Xx,A) & in(Xx,B)))) & in(B,A)))))). 25.32/4.23 tff('246', plain, 25.32/4.23 foundationAx = 25.32/4.23 (![X4]: 25.32/4.23 ((?[X6]: in(X6,X4)) => 25.32/4.23 (?[X8]: ((~(?[X10]: (in(X10,X4) & in(X10,X8)))) & in(X8,X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(replAx, axiom, replAx <=> 25.32/4.23 (![Xphi:(($i * $i) > $o),A]: 25.32/4.23 ((![Xx]: (in(Xx,A) => exu(^[Xy]: Xphi(Xx,Xy)))) => 25.32/4.23 (?[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: (Xphi(Xy,Xx) & in(Xy,A))))))))). 25.32/4.23 tff('247', plain, 25.32/4.23 replAx = 25.32/4.23 (![X4:(($i * $i) > $o),X6]: 25.32/4.23 ((![X8]: (in(X8,X6) => exu(^[V_1]: X4(X8,V_1)))) => 25.32/4.23 (?[X10]: 25.32/4.23 (![X12]: (in(X12,X10) <=> (?[X14]: (X4(X14,X12) & in(X14,X6)))))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(omegaIndAx, axiom, omegaIndAx <=> 25.32/4.23 (![A]: 25.32/4.23 ((in(emptyset,A) & 25.32/4.23 (![Xx]: ((in(Xx,omega) & in(Xx,A)) => in(setadjoin(Xx,Xx),A)))) => 25.32/4.23 (![Xx]: (in(Xx,omega) => in(Xx,A)))))). 25.32/4.23 tff('248', plain, 25.32/4.23 omegaIndAx = 25.32/4.23 (![X4]: 25.32/4.23 ((in(emptyset,X4) & 25.32/4.23 (![X6]: ((in(X6,omega) & in(X6,X4)) => in(setadjoin(X6,X6),X4)))) => 25.32/4.23 (![X8]: (in(X8,omega) => in(X8,X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(omegaSAx, axiom, omegaSAx <=> 25.32/4.23 (![Xx]: (in(Xx,omega) => in(setadjoin(Xx,Xx),omega)))). 25.32/4.23 tff('249', plain, 25.32/4.23 omegaSAx = (![X4]: (in(X4,omega) => in(setadjoin(X4,X4),omega))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(omega0Ax, axiom, omega0Ax() = in(emptyset,omega)). 25.32/4.23 tff('250', plain, omega0Ax = in(emptyset,omega), 25.32/4.23 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 25.32/4.23 tff('251', plain, omega0Ax = in(emptyset,omega), define([status(thm)])). 25.32/4.23 tff(setunionAx, axiom, setunionAx <=> 25.32/4.23 (![A,Xx]: (in(Xx,setunion(A)) <=> (?[B]: (in(B,A) & in(Xx,B)))))). 25.32/4.23 tff('252', plain, 25.32/4.23 setunionAx = 25.32/4.23 (![X4,X6]: (in(X6,setunion(X4)) <=> (?[X8]: (in(X8,X4) & in(X6,X8))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(powersetAx, axiom, powersetAx <=> 25.32/4.23 (![A,B]: (in(B,powerset(A)) <=> (![Xx]: (in(Xx,B) => in(Xx,A)))))). 25.32/4.23 tff('253', plain, 25.32/4.23 powersetAx = 25.32/4.23 (![X4,X6]: (in(X6,powerset(X4)) <=> (![X8]: (in(X8,X6) => in(X8,X4))))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setadjoinAx, axiom, setadjoinAx <=> 25.32/4.23 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) <=> ((Xy = Xx) | in(Xy,A))))). 25.32/4.23 tff('254', plain, 25.32/4.23 setadjoinAx = 25.32/4.23 (![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) <=> ((X8 = X4) | in(X8,X6)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(emptysetAx, axiom, emptysetAx <=> (![Xx]: (~in(Xx,emptyset)))). 25.32/4.23 tff('255', plain, emptysetAx = (![X4]: (~in(X4,emptyset))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(setextAx, axiom, setextAx <=> 25.32/4.23 (![A,B]: ((![Xx]: (in(Xx,A) <=> in(Xx,B))) => (A = B)))). 25.32/4.23 tff('256', plain, 25.32/4.23 setextAx = (![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(exu, axiom, exu() = 25.32/4.23 ^[Xphi:(($i > $o))]: (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))). 25.32/4.23 tff('257', plain, 25.32/4.23 exu = 25.32/4.23 (^[Xphi:(($i > $o))]: 25.32/4.23 (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))), 25.32/4.23 inference('simplify_rw_rule', [status(thm)], [exu])). 25.32/4.23 tff('258', plain, 25.32/4.23 exu = 25.32/4.23 (^[V_1:(($i > $o))]: (?[X4]: ((![X6]: (V_1(X6) => (X4 = X6))) & V_1(X4)))), 25.32/4.23 define([status(thm)])). 25.32/4.23 tff(complementImpComplementIntersect, conjecture, 25.32/4.23 (setextAx => 25.32/4.23 (emptysetAx => 25.32/4.23 (setadjoinAx => 25.32/4.23 (powersetAx => 25.32/4.23 (setunionAx => 25.32/4.23 (omega0Ax => 25.32/4.23 (omegaSAx => 25.32/4.23 (omegaIndAx => 25.32/4.23 (replAx => 25.32/4.23 (foundationAx => 25.32/4.23 (wellorderingAx => 25.32/4.23 (descrp => 25.32/4.23 (dsetconstrI => 25.32/4.23 (dsetconstrEL => 25.32/4.23 (dsetconstrER => 25.32/4.23 (exuE1 => 25.32/4.23 (prop2setE => 25.32/4.23 (emptysetE => 25.32/4.23 (emptysetimpfalse => 25.32/4.23 (notinemptyset => 25.32/4.23 (exuE3e => 25.32/4.23 (setext => 25.32/4.23 (emptyI => 25.32/4.23 (noeltsimpempty => 25.32/4.23 (setbeta => 25.32/4.23 (nonemptyE1 => 25.32/4.23 (nonemptyI => 25.32/4.23 (nonemptyI1 => 25.32/4.23 (setadjoinIL => 25.32/4.23 (emptyinunitempty => 25.32/4.23 (setadjoinIR => 25.32/4.23 (setadjoinE => 25.32/4.23 (setadjoinOr => 25.32/4.23 (setoftrueEq => 25.32/4.23 (powersetI => 25.32/4.23 (emptyinPowerset => 25.32/4.23 (emptyInPowerset => 25.32/4.23 (powersetE => 25.32/4.23 (setunionI => 25.32/4.23 (setunionE => 25.32/4.23 (subPowSU => 25.32/4.23 (exuE2 => 25.32/4.23 (nonemptyImpWitness => 25.32/4.23 (uniqinunit => 25.32/4.23 (notinsingleton => 25.32/4.23 (eqinunit => 25.32/4.23 (singletonsswitch => 25.32/4.23 (upairsetE => 25.32/4.23 (upairsetIL => 25.32/4.23 (upairsetIR => 25.32/4.23 (emptyE1 => 25.32/4.23 (vacuousDall => 25.32/4.23 (quantDeMorgan1 => 25.32/4.23 (quantDeMorgan2 => 25.32/4.23 (quantDeMorgan3 => 25.32/4.23 (quantDeMorgan4 => 25.32/4.23 (prop2setI => 25.32/4.23 (prop2set2propI => 25.32/4.23 (notdexE => 25.32/4.23 (notdallE => 25.32/4.23 (exuI1 => 25.32/4.23 (exuI3 => 25.32/4.23 (exuI2 => 25.32/4.23 (inCongP => 25.32/4.23 (in__Cong => 25.32/4.23 (exuE3u => 25.32/4.23 ( 25.32/4.23 exu__Cong => 25.32/4.23 ( 25.32/4.23 emptyset__Cong => 25.32/4.23 ( 25.32/4.23 setadjoin__Cong => 25.32/4.23 ( 25.32/4.23 powerset__Cong => 25.32/4.23 ( 25.32/4.23 setunion__Cong => 25.32/4.23 ( 25.32/4.23 omega__Cong => 25.32/4.23 ( 25.32/4.23 exuEu => 25.32/4.23 ( 25.32/4.23 descr__Cong => 25.32/4.23 ( 25.32/4.23 dsetconstr__Cong => 25.32/4.23 ( 25.32/4.23 subsetI1 => 25.32/4.23 ( 25.32/4.23 eqimpsubset2 => 25.32/4.23 ( 25.32/4.23 eqimpsubset1 => 25.32/4.23 ( 25.32/4.23 subsetI2 => 25.32/4.23 ( 25.32/4.23 emptysetsubset => 25.32/4.23 ( 25.32/4.23 subsetE => 25.32/4.23 ( 25.32/4.23 subsetE2 => 25.32/4.23 ( 25.32/4.23 notsubsetI => 25.32/4.23 ( 25.32/4.23 notequalI1 => 25.32/4.23 ( 25.32/4.23 notequalI2 => 25.32/4.23 ( 25.32/4.23 subsetRefl => 25.32/4.23 ( 25.32/4.23 subsetTrans => 25.32/4.23 ( 25.32/4.23 setadjoinSub => 25.32/4.23 ( 25.32/4.23 setadjoinSub2 => 25.32/4.23 ( 25.32/4.23 subset2powerset => 25.32/4.23 ( 25.32/4.23 setextsub => 25.32/4.23 ( 25.32/4.23 subsetemptysetimpeq => 25.32/4.23 ( 25.32/4.23 powersetI1 => 25.32/4.23 ( 25.32/4.23 powersetE1 => 25.32/4.23 ( 25.32/4.23 inPowerset => 25.32/4.23 ( 25.32/4.23 powersetsubset => 25.32/4.23 ( 25.32/4.23 sepInPowerset => 25.32/4.23 ( 25.32/4.23 sepSubset => 25.32/4.23 ( 25.32/4.23 binunionIL => 25.32/4.23 ( 25.32/4.23 upairset2IR => 25.32/4.23 ( 25.32/4.23 binunionIR => 25.32/4.23 ( 25.32/4.23 binunionEcases => 25.32/4.23 ( 25.32/4.23 binunionE => 25.32/4.23 ( 25.32/4.23 binunionLsub => 25.32/4.23 ( 25.32/4.23 binunionRsub => 25.32/4.23 ( 25.32/4.23 binintersectI => 25.32/4.23 ( 25.32/4.23 binintersectSubset5 => 25.32/4.23 ( 25.32/4.23 binintersectEL => 25.32/4.23 ( 25.32/4.23 binintersectLsub => 25.32/4.23 ( 25.32/4.23 binintersectSubset2 => 25.32/4.23 ( 25.32/4.23 binintersectSubset3 => 25.32/4.23 ( 25.32/4.23 binintersectER => 25.32/4.23 ( 25.32/4.23 disjointsetsI1 => 25.32/4.23 ( 25.32/4.23 binintersectRsub => 25.32/4.23 ( 25.32/4.23 binintersectSubset4 => 25.32/4.23 ( 25.32/4.23 binintersectSubset1 => 25.32/4.23 ( 25.32/4.23 bs114d => 25.32/4.23 ( 25.32/4.23 setminusI => 25.32/4.23 ( 25.32/4.23 setminusEL => 25.32/4.23 ( 25.32/4.23 setminusER => 25.32/4.23 ( 25.32/4.23 setminusSubset2 => 25.32/4.23 ( 25.32/4.23 setminusERneg => 25.32/4.23 ( 25.32/4.23 setminusELneg => 25.32/4.23 ( 25.32/4.23 setminusILneg => 25.32/4.23 ( 25.32/4.23 setminusIRneg => 25.32/4.23 ( 25.32/4.23 setminusLsub => 25.32/4.23 ( 25.32/4.23 setminusSubset1 => 25.32/4.23 ( 25.32/4.23 symdiffE => 25.32/4.23 ( 25.32/4.23 symdiffI1 => 25.32/4.23 ( 25.32/4.23 symdiffI2 => 25.32/4.23 ( 25.32/4.23 symdiffIneg1 => 25.32/4.23 ( 25.32/4.23 symdiffIneg2 => 25.32/4.23 ( 25.32/4.23 secondinupair => 25.32/4.23 ( 25.32/4.23 setukpairIL => 25.32/4.23 ( 25.32/4.23 setukpairIR => 25.32/4.23 ( 25.32/4.23 kpairiskpair => 25.32/4.23 ( 25.32/4.23 kpairp => 25.32/4.23 ( 25.32/4.23 singletonsubset => 25.32/4.23 ( 25.32/4.23 singletoninpowerset => 25.32/4.23 ( 25.32/4.23 singletoninpowunion => 25.32/4.23 ( 25.32/4.23 upairset2E => 25.32/4.23 ( 25.32/4.23 upairsubunion => 25.32/4.23 ( 25.32/4.23 upairinpowunion => 25.32/4.23 ( 25.32/4.23 ubforcartprodlem1 => 25.32/4.23 ( 25.32/4.23 ubforcartprodlem2 => 25.32/4.23 ( 25.32/4.23 ubforcartprodlem3 => 25.32/4.23 ( 25.32/4.23 cartprodpairin => 25.32/4.23 ( 25.32/4.23 cartprodmempair1 => 25.32/4.23 ( 25.32/4.23 cartprodmempair => 25.32/4.23 ( 25.32/4.23 setunionE2 => 25.32/4.23 ( 25.32/4.23 setunionsingleton1 => 25.32/4.23 ( 25.32/4.23 setunionsingleton2 => 25.32/4.23 ( 25.32/4.23 setunionsingleton => 25.32/4.23 ( 25.32/4.23 singletonprop => 25.32/4.23 ( 25.32/4.23 ex1E1 => 25.32/4.23 ( 25.32/4.23 ex1I => 25.32/4.23 ( 25.32/4.23 ex1I2 => 25.32/4.23 ( 25.32/4.23 singletonsuniq => 25.32/4.23 ( 25.32/4.23 setukpairinjL1 => 25.32/4.23 ( 25.32/4.23 kfstsingleton => 25.32/4.23 ( 25.32/4.23 theprop => 25.32/4.23 ( 25.32/4.23 kfstpairEq => 25.32/4.23 ( 25.32/4.23 cartprodfstin => 25.32/4.23 ( 25.32/4.23 setukpairinjL2 => 25.32/4.23 ( 25.32/4.23 setukpairinjL => 25.32/4.23 ( 25.32/4.23 setukpairinjR11 => 25.32/4.23 ( 25.32/4.23 setukpairinjR12 => 25.32/4.23 ( 25.32/4.23 setukpairinjR1 => 25.32/4.23 ( 25.32/4.23 upairequniteq => 25.32/4.23 ( 25.32/4.23 setukpairinjR2 => 25.32/4.23 ( 25.32/4.23 setukpairinjR => 25.32/4.23 ( 25.32/4.23 ksndsingleton => 25.32/4.23 ( 25.32/4.23 ksndpairEq => 25.32/4.23 ( 25.32/4.23 kpairsurjEq => 25.32/4.23 ( 25.32/4.23 cartprodsndin => 25.32/4.23 ( 25.32/4.23 cartprodpairmemEL => 25.32/4.23 ( 25.32/4.23 cartprodpairmemER => 25.32/4.23 ( 25.32/4.23 cartprodmempaircEq => 25.32/4.23 ( 25.32/4.23 cartprodfstpairEq => 25.32/4.23 ( 25.32/4.23 cartprodsndpairEq => 25.32/4.23 ( 25.32/4.23 cartprodpairsurjEq => 25.32/4.23 ( 25.32/4.23 dpsetconstrI => 25.32/4.23 ( 25.32/4.23 dpsetconstrSub => 25.32/4.23 ( 25.32/4.23 setOfPairsIsBReln => 25.32/4.23 ( 25.32/4.23 dpsetconstrERa => 25.32/4.23 ( 25.32/4.23 dpsetconstrEL1 => 25.32/4.23 ( 25.32/4.23 dpsetconstrEL2 => 25.32/4.23 ( 25.32/4.23 dpsetconstrER => 25.32/4.23 ( 25.32/4.23 funcImageSingleton => 25.32/4.23 ( 25.32/4.23 apProp => 25.32/4.23 ( 25.32/4.23 app => 25.32/4.23 ( 25.32/4.23 infuncsetfunc => 25.32/4.23 ( 25.32/4.23 ap2p => 25.32/4.23 ( 25.32/4.23 funcinfuncset => 25.32/4.23 ( 25.32/4.23 lamProp => 25.32/4.23 ( 25.32/4.23 lamp => 25.32/4.23 ( 25.32/4.23 lam2p => 25.32/4.23 ( 25.32/4.23 brelnall1 => 25.32/4.23 ( 25.32/4.23 brelnall2 => 25.32/4.23 ( 25.32/4.23 ex1E2 => 25.32/4.23 ( 25.32/4.23 funcGraphProp1 => 25.32/4.23 ( 25.32/4.23 funcGraphProp3 => 25.32/4.23 ( 25.32/4.23 funcGraphProp2 => 25.32/4.23 ( 25.32/4.23 funcextLem => 25.32/4.23 ( 25.32/4.23 funcGraphProp4 => 25.32/4.23 ( 25.32/4.23 subbreln => 25.32/4.23 ( 25.32/4.23 eqbreln => 25.32/4.23 ( 25.32/4.23 funcext => 25.32/4.23 ( 25.32/4.23 funcext2 => 25.32/4.23 ( 25.32/4.23 ap2apEq1 => 25.32/4.23 ( 25.32/4.23 ap2apEq2 => 25.32/4.23 ( 25.32/4.23 beta1 => 25.32/4.23 ( 25.32/4.23 eta1 => 25.32/4.23 ( 25.32/4.23 lam2lamEq => 25.32/4.23 ( 25.32/4.23 beta2 => 25.32/4.23 ( 25.32/4.23 eta2 => 25.32/4.23 ( 25.32/4.23 iffalseProp1 => 25.32/4.23 ( 25.32/4.23 iffalseProp2 => 25.32/4.23 ( 25.32/4.23 iftrueProp1 => 25.32/4.23 ( 25.32/4.23 iftrueProp2 => 25.32/4.23 ( 25.32/4.23 ifSingleton => 25.32/4.23 ( 25.32/4.23 ifp => 25.32/4.23 ( 25.32/4.23 theeq => 25.32/4.23 ( 25.32/4.23 iftrue => 25.32/4.23 ( 25.32/4.23 iffalse => 25.32/4.23 ( 25.32/4.23 iftrueorfalse => 25.32/4.23 ( 25.32/4.23 binintersectT_lem => 25.32/4.23 ( 25.32/4.23 binunionT_lem => 25.32/4.23 ( 25.32/4.23 powersetT_lem => 25.32/4.23 ( 25.32/4.23 setminusT_lem => 25.32/4.23 ( 25.32/4.23 complementT_lem => 25.32/4.23 ( 25.32/4.23 setextT => 25.32/4.23 ( 25.32/4.23 subsetTI => 25.32/4.23 ( 25.32/4.23 powersetTI1 => 25.32/4.23 ( 25.32/4.23 powersetTE1 => 25.32/4.23 ( 25.32/4.23 complementTI1 => 25.32/4.23 ( 25.32/4.23 complementTE1 => 25.32/4.23 ( 25.32/4.23 binintersectTELcontra => 25.32/4.23 ( 25.32/4.23 binintersectTERcontra => 25.32/4.23 ( 25.32/4.23 contrasubsetT => 25.32/4.23 ( 25.32/4.23 contrasubsetT1 => 25.32/4.23 ( 25.32/4.23 contrasubsetT2 => 25.32/4.23 ( 25.32/4.23 contrasubsetT3 => 25.32/4.23 ( 25.32/4.23 doubleComplementI1 => 25.32/4.23 ( 25.32/4.23 doubleComplementE1 => 25.32/4.23 ( 25.32/4.23 doubleComplementSub1 => 25.32/4.23 ( 25.32/4.23 doubleComplementSub2 => 25.32/4.23 ( 25.32/4.23 doubleComplementEq => 25.32/4.23 ( 25.32/4.23 complementTnotintersectT => 25.32/4.23 ( 25.32/4.23 ![A,X]: 25.32/4.23 (in( 25.32/4.23 X, 25.32/4.23 powerset( 25.32/4.23 A)) => 25.32/4.23 (![Y]: 25.32/4.23 (in( 25.32/4.23 Y, 25.32/4.23 powerset( 25.32/4.23 A)) => 25.32/4.23 (![Xx]: 25.32/4.23 (in(Xx,A) => 25.32/4.23 (in( 25.32/4.23 Xx, 25.32/4.23 setminus( 25.32/4.23 A,X)) => 25.32/4.23 in( 25.32/4.23 Xx, 25.32/4.23 setminus( 25.32/4.23 A, 25.32/4.23 binintersect( 25.32/4.23 X,Y)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 25.32/4.23 tff(zf_stmt_0, conjecture, 25.32/4.23 ((![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))) => 25.32/4.23 ((![X10]: (~in(X10,emptyset))) => 25.32/4.23 ((![X12,X14,X16]: 25.32/4.23 (in(X16,setadjoin(X12,X14)) <=> (in(X16,X14) | (X16 = X12)))) => 25.32/4.23 ((![X18,X20]: 25.32/4.23 (in(X20,powerset(X18)) <=> (![X22]: (in(X22,X20) => in(X22,X18))))) => 25.32/4.23 ((![X24,X26]: 25.32/4.23 (in(X26,setunion(X24)) <=> (?[X28]: (in(X26,X28) & in(X28,X24))))) => 25.32/4.23 (in(emptyset,omega) => 25.32/4.23 ((![X30]: (in(X30,omega) => in(setadjoin(X30,X30),omega))) => 25.32/4.23 ((![X32]: 25.32/4.23 (((![X34]: 25.32/4.23 ((in(X34,X32) & in(X34,omega)) => 25.32/4.23 in(setadjoin(X34,X34),X32))) & 25.32/4.23 in(emptyset,X32)) => 25.32/4.23 (![X36]: (in(X36,omega) => in(X36,X32))))) => 25.32/4.23 ((![X38:(($i * $i) > $o),X40]: 25.32/4.23 ((![X42]: 25.32/4.23 (in(X42,X40) => 25.32/4.23 (?[X44]: 25.32/4.23 (X38(X42,X44) & (![X46]: (X38(X42,X46) => (X44 = X46))))))) => 25.32/4.23 (?[X48]: 25.32/4.23 (![X50]: 25.32/4.23 (in(X50,X48) <=> (?[X52]: (in(X52,X40) & X38(X52,X50)))))))) => 25.32/4.23 ((![X54]: 25.32/4.23 ((?[X56]: in(X56,X54)) => 25.32/4.23 (?[X58]: 25.32/4.23 (in(X58,X54) & (~(?[X60]: (in(X60,X58) & in(X60,X54)))))))) => 25.32/4.23 ((![X62]: 25.32/4.23 (?[X64]: 25.32/4.23 ((![X96]: 25.32/4.23 (in(X96,X64) => (![X98]: (in(X98,X96) => in(X98,X62))))) & 25.32/4.23 (![X90,X92]: 25.32/4.23 ((in(X92,X62) & in(X90,X62)) => 25.32/4.23 ((![X94]: 25.32/4.23 (in(X94,X64) => (in(X90,X94) <=> in(X92,X94)))) => 25.32/4.23 (X90 = X92)))) & 25.32/4.23 (![X82,X84]: 25.32/4.23 ((in(X84,X64) & in(X82,X64)) => 25.32/4.23 ((![X88]: (in(X88,X84) => in(X88,X82))) | 25.32/4.23 (![X86]: (in(X86,X82) => in(X86,X84)))))) & 25.32/4.23 (![X66]: 25.32/4.23 (((?[X70]: in(X70,X66)) & 25.32/4.23 (![X68]: (in(X68,X66) => in(X68,X62)))) => 25.32/4.23 (?[X72,X74]: 25.32/4.23 (in(X72,X64) & in(X74,X66) & 25.32/4.23 (~(?[X80]: (in(X80,X72) & in(X80,X66)))) & 25.32/4.23 (![X76]: 25.32/4.23 (in(X76,X64) => 25.32/4.23 (in(X74,X76) | 25.32/4.23 (![X78]: (in(X78,X76) => in(X78,X72))))))))))))) => 25.32/4.23 ((![X100:(($i > $o))]: 25.32/4.23 ((?[X102]: 25.32/4.23 (X100(X102) & (![X104]: (X100(X104) => (X102 = X104))))) => 25.32/4.23 X100(descr(^[V_1]: X100(V_1))))) => 25.32/4.23 ((![X106,X108:(($i > $o)),X110]: 25.32/4.23 (in(X110,X106) => 25.32/4.23 (X108(X110) => in(X110,dsetconstr(X106,^[V_2]: X108(V_2)))))) => 25.32/4.23 ((![X112,X114:(($i > $o)),X116]: 25.32/4.23 (in(X116,dsetconstr(X112,^[V_3]: X114(V_3))) => 25.32/4.23 in(X116,X112))) => 25.32/4.23 ((![X118,X120:(($i > $o)),X122]: 25.32/4.23 (in(X122,dsetconstr(X118,^[V_4]: X120(V_4))) => 25.32/4.23 X120(X122))) => 25.32/4.23 ((![X124:(($i > $o))]: 25.32/4.23 ((?[X126]: 25.32/4.23 (X124(X126) & 25.32/4.23 (![X128]: (X124(X128) => (X126 = X128))))) => 25.32/4.23 (?[X130]: 25.32/4.23 (X124(X130) & 25.32/4.23 (![X132]: (X124(X132) => (X130 = X132))))))) => 25.32/4.23 ((![X134:$o,X136]: (in(X136,prop2set(X134)) => X134)) => 25.32/4.23 ((![X138]: (in(X138,emptyset) => (![X140:$o]: X140))) => 25.32/4.23 ((![X142]: (in(X142,emptyset) => $false)) => 25.32/4.23 ((![X144]: (~in(X144,emptyset))) => 25.32/4.23 ((![X146:(($i > $o))]: 25.32/4.23 ((?[X148]: 25.32/4.23 (X146(X148) & 25.32/4.23 (![X150]: (X146(X150) => (X148 = X150))))) => 25.32/4.23 (?[X152]: X146(X152)))) => 25.32/4.23 ((![X154,X156]: 25.32/4.23 ((![X158]: (in(X158,X154) => in(X158,X156))) => 25.32/4.23 ((![X160]: (in(X160,X156) => in(X160,X154))) => 25.32/4.23 (X154 = X156)))) => 25.32/4.23 ((![X162]: 25.32/4.23 ((![X164]: (~in(X164,X162))) => (X162 = emptyset))) => 25.32/4.23 ((![X166]: 25.32/4.23 ((![X168]: (~in(X168,X166))) => 25.32/4.23 (X166 = emptyset))) => 25.32/4.23 ((![X170,X172:(($i > $o)),X174]: 25.32/4.23 (in(X174,X170) => 25.32/4.23 (in(X174,dsetconstr(X170,^[V_5]: X172(V_5))) <=> 25.32/4.23 X172(X174)))) => 25.32/4.23 ((![X176]: 25.32/4.23 ((X176 != emptyset) => 25.32/4.23 (?[X178]: in(X178,X176)))) => 25.32/4.23 ((![X180,X182:(($i > $o)),X184]: 25.32/4.23 (in(X184,X180) => 25.32/4.23 (X182(X184) => 25.32/4.23 (dsetconstr(X180,^[V_6]: X182(V_6)) != 25.32/4.23 emptyset)))) => 25.32/4.23 ((![X186]: 25.32/4.23 ((?[X188]: in(X188,X186)) => 25.32/4.23 (X186 != emptyset))) => 25.32/4.23 ((![X190,X192]: in(X190,setadjoin(X190,X192))) => 25.32/4.23 (in(emptyset,setadjoin(emptyset,emptyset)) => 25.32/4.23 ((![X194,X196,X198]: 25.32/4.23 (in(X198,X196) => 25.32/4.23 in(X198,setadjoin(X194,X196)))) => 25.32/4.23 ((![X200,X202,X204]: 25.32/4.23 (in(X204,setadjoin(X200,X202)) => 25.32/4.23 (![X206:$o]: 25.32/4.23 (((X204 = X200) => X206) => 25.32/4.23 ((in(X204,X202) => X206) => X206))))) => 25.32/4.23 ((![X208,X210,X212]: 25.32/4.23 (in(X212,setadjoin(X208,X210)) => 25.32/4.23 (in(X212,X210) | (X212 = X208)))) => 25.32/4.23 ((![X214]: 25.32/4.23 (dsetconstr(X214,^[V_7]: $true) = X214)) => 25.32/4.23 ((![X216,X218]: 25.32/4.23 ((![X220]: 25.32/4.23 (in(X220,X218) => in(X220,X216))) => 25.32/4.23 in(X218,powerset(X216)))) => 25.32/4.23 ((![X222]: in(emptyset,powerset(X222))) => 25.32/4.23 ((![X224]: in(emptyset,powerset(X224))) => 25.32/4.23 ((![X226,X228,X230]: 25.32/4.23 (in(X228,powerset(X226)) => 25.32/4.23 (in(X230,X228) => in(X230,X226)))) => 25.32/4.23 ((![X232,X234,X236]: 25.32/4.23 (in(X234,X236) => 25.32/4.23 (in(X236,X232) => 25.32/4.23 in(X234,setunion(X232))))) => 25.32/4.23 ((![X238,X240]: 25.32/4.23 (in(X240,setunion(X238)) => 25.32/4.23 (![X242:$o]: 25.32/4.23 ((![X244]: 25.32/4.23 (in(X240,X244) => 25.32/4.23 (in(X244,X238) => X242))) => 25.32/4.23 X242)))) => 25.32/4.23 ((![X246,X248]: 25.32/4.23 (in(X248,X246) => 25.32/4.23 in(X248, 25.32/4.23 powerset(setunion(X246))))) => 25.32/4.23 ((![X250:(($i > $o))]: 25.32/4.23 ((?[X252]: 25.32/4.23 (X250(X252) & 25.32/4.23 (![X254]: 25.32/4.23 (X250(X254) => 25.32/4.23 (X252 = X254))))) => 25.32/4.23 (?[X256]: 25.32/4.23 (![X258]: 25.32/4.23 (X250(X258) <=> 25.32/4.23 (X258 = X256)))))) => 25.32/4.23 ((![X260]: 25.32/4.23 ((X260 != emptyset) => 25.32/4.23 (?[X262]: in(X262,X260)))) => 25.32/4.23 ((![X264,X266]: 25.32/4.23 (in(X264, 25.32/4.23 setadjoin(X266,emptyset)) => 25.32/4.23 (X264 = X266))) => 25.32/4.23 ((![X268,X270]: 25.32/4.23 ((X268 != X270) => 25.32/4.23 (~ 25.32/4.23 in(X270, 25.32/4.23 setadjoin(X268, 25.32/4.23 emptyset))))) => 25.32/4.23 ((![X272,X274]: 25.32/4.23 ((X272 = X274) => 25.32/4.23 in(X272, 25.32/4.23 setadjoin(X274, 25.32/4.23 emptyset)))) => 25.32/4.23 ((![X276,X278]: 25.32/4.23 (in(X276, 25.32/4.23 setadjoin(X278, 25.32/4.23 emptyset)) => 25.32/4.23 in(X278, 25.32/4.23 setadjoin(X276, 25.32/4.23 emptyset)))) => 25.32/4.23 ((![X280,X282,X284]: 25.32/4.23 (in(X284, 25.32/4.23 setadjoin(X280, 25.32/4.23 setadjoin( 25.32/4.23 X282, 25.32/4.23 emptyset))) => 25.32/4.23 ((X284 = X282) | 25.32/4.23 (X284 = X280)))) => 25.32/4.23 ((![X286,X288]: 25.32/4.23 in(X286, 25.32/4.23 setadjoin(X286, 25.32/4.23 setadjoin( 25.32/4.23 X288, 25.32/4.23 emptyset)))) => 25.32/4.23 ((![X290,X292]: 25.32/4.23 in(X292, 25.32/4.23 setadjoin(X290, 25.32/4.23 setadjoin( 25.32/4.23 X292, 25.32/4.23 emptyset)))) => 25.32/4.23 ((![X294,X296:(($i > $o))]: 25.32/4.23 ((?[X298]: 25.32/4.23 (in(X298,X294) & 25.32/4.23 X296(X298))) => 25.32/4.23 ((dsetconstr( 25.32/4.23 X294, 25.32/4.23 ^[V_8]: X296(V_8)) = 25.32/4.23 emptyset) => 25.32/4.23 $false))) => 25.32/4.23 ((![X300:(($i > $o)), 25.32/4.23 X302]: 25.32/4.23 (in(X302,emptyset) => 25.32/4.23 X300(X302))) => 25.32/4.23 ((![X304, 25.32/4.23 X306:(($i > $o))]: 25.32/4.23 ((~ 25.32/4.23 (![X308]: 25.32/4.23 (in(X308,X304) => 25.32/4.23 X306(X308)))) => 25.32/4.23 (?[X310]: 25.32/4.23 (in(X310,X304) & 25.32/4.23 (~X306(X310)))))) => 25.32/4.23 ((![X312, 25.32/4.23 X314:(($i > $o))]: 25.32/4.23 ((![X316]: 25.32/4.23 (in(X316,X312) => 25.32/4.23 (~X314(X316)))) => 25.32/4.23 (~ 25.32/4.23 (?[X318]: 25.32/4.23 (in( 25.32/4.23 X318,X312) & 25.32/4.23 X314(X318)))))) => 25.32/4.23 ((![X320, 25.32/4.23 X322:(($i > $o))]: 25.32/4.23 ((~ 25.32/4.23 (?[X324]: 25.32/4.23 (in( 25.32/4.23 X324,X320) & 25.32/4.23 X322(X324)))) => 25.32/4.23 (![X326]: 25.32/4.23 (in(X326,X320) => 25.32/4.23 (~X322(X326)))))) => 25.32/4.23 ((![X328, 25.32/4.23 X330:(($i > $o))]: 25.32/4.23 ((?[X332]: 25.32/4.23 (in( 25.32/4.23 X332,X328) & 25.32/4.23 (~ 25.32/4.23 X330( 25.32/4.23 X332)))) => 25.32/4.23 (~ 25.32/4.23 (![X334]: 25.32/4.23 (in( 25.32/4.23 X334,X328) => 25.32/4.23 X330( 25.32/4.23 X334)))))) => 25.32/4.23 ((![X336:$o]: 25.32/4.23 (X336 => 25.32/4.23 in(emptyset, 25.32/4.23 prop2set( 25.32/4.23 X336)))) => 25.32/4.23 ((![X338:$o]: 25.32/4.23 (X338 => 25.32/4.23 set2prop( 25.32/4.23 prop2set( 25.32/4.23 X338)))) => 25.32/4.23 ((![X340, 25.32/4.23 X342:( 25.32/4.23 ($i > $o))]: 25.32/4.23 ((~ 25.32/4.23 (?[X344]: 25.32/4.23 (in( 25.32/4.23 X344,X340) & 25.32/4.23 X342( 25.32/4.23 X344)))) => 25.32/4.23 (![X346]: 25.32/4.23 ( 25.32/4.23 in( 25.32/4.23 X346,X340) => 25.32/4.23 ( 25.32/4.23 ~ 25.32/4.23 X342( 25.32/4.23 X346)))))) => 25.32/4.23 ((![X348, 25.32/4.23 X350:( 25.32/4.23 ($i > $o))]: 25.32/4.23 ((~ 25.32/4.23 ( 25.32/4.23 ![X352]: 25.32/4.23 (in( 25.32/4.23 X352,X348) => 25.32/4.23 X350( 25.32/4.23 X352)))) => 25.32/4.23 (?[X354]: 25.32/4.23 (in( 25.32/4.23 X354,X348) & 25.32/4.23 (~ 25.32/4.23 X350( 25.32/4.23 X354)))))) => 25.32/4.23 ((![X356:( 25.32/4.23 ($i > $o))]: 25.32/4.23 ((?[X358]: 25.32/4.23 (X356( 25.32/4.23 X358) & 25.32/4.23 (![X360]: 25.32/4.23 (X356( 25.32/4.23 X360) => 25.32/4.23 (X358 = 25.32/4.23 X360))))) => 25.32/4.23 (?[X362]: 25.32/4.23 (X356( 25.32/4.23 X362) & 25.32/4.23 (![X364]: 25.32/4.23 (X356( 25.32/4.23 X364) => 25.32/4.23 (X362 = 25.32/4.23 X364))))))) => 25.32/4.23 ((![X366:( 25.32/4.23 ($i > $o))]: 25.32/4.23 (( 25.32/4.23 ?[X368]: 25.32/4.23 X366( 25.32/4.23 X368)) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X370, 25.32/4.23 X372]: 25.32/4.23 (X366( 25.32/4.23 X370) => 25.32/4.23 (X366( 25.32/4.23 X372) => 25.32/4.23 (X370 = 25.32/4.23 X372)))) => 25.32/4.23 ( 25.32/4.23 ?[X374]: 25.32/4.23 (X366( 25.32/4.23 X374) & 25.32/4.23 (![X376]: 25.32/4.23 (X366( 25.32/4.23 X376) => 25.32/4.23 (X374 = 25.32/4.23 X376)))))))) => 25.32/4.23 ((![X378:( 25.32/4.23 ( 25.32/4.23 $i > $o))]: 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ?[X380]: 25.32/4.23 (![X382]: 25.32/4.23 (X378( 25.32/4.23 X382) <=> 25.32/4.23 (X382 = 25.32/4.23 X380)))) => 25.32/4.23 ( 25.32/4.23 ?[X384]: 25.32/4.23 (X378( 25.32/4.23 X384) & 25.32/4.23 (![X386]: 25.32/4.23 (X378( 25.32/4.23 X386) => 25.32/4.23 (X384 = 25.32/4.23 X386))))))) => 25.32/4.23 ((![X388, 25.32/4.23 X390]: 25.32/4.23 (( 25.32/4.23 X388 = 25.32/4.23 X390) => 25.32/4.23 (![X392, 25.32/4.23 X394]: 25.32/4.23 (( 25.32/4.23 X392 = 25.32/4.23 X394) => 25.32/4.23 (in( 25.32/4.23 X392,X388) => 25.32/4.23 in( 25.32/4.23 X394,X390)))))) => 25.32/4.23 ((![X396, 25.32/4.23 X398]: 25.32/4.23 (( 25.32/4.23 X396 = 25.32/4.23 X398) => 25.32/4.23 (![X400, 25.32/4.23 X402]: 25.32/4.23 (( 25.32/4.23 X400 = 25.32/4.23 X402) => 25.32/4.23 (in( 25.32/4.23 X400,X396) <=> 25.32/4.23 in( 25.32/4.23 X402,X398)))))) => 25.32/4.23 (( 25.32/4.23 ![X404:( 25.32/4.23 ( 25.32/4.23 $i > $o))]: 25.32/4.23 (( 25.32/4.23 ?[X406]: 25.32/4.23 (X404( 25.32/4.23 X406) & 25.32/4.23 (![X408]: 25.32/4.23 (X404( 25.32/4.23 X408) => 25.32/4.23 (X406 = 25.32/4.23 X408))))) => 25.32/4.23 (![X410, 25.32/4.23 X412]: 25.32/4.23 (X404( 25.32/4.23 X410) => 25.32/4.23 (X404( 25.32/4.23 X412) => 25.32/4.23 (X410 = 25.32/4.23 X412)))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X414:( 25.32/4.23 ( 25.32/4.23 $i > $o)), 25.32/4.23 X416:( 25.32/4.23 ( 25.32/4.23 $i > $o))]: 25.32/4.23 (( 25.32/4.23 ![X418, 25.32/4.23 X420]: 25.32/4.23 (( 25.32/4.23 X418 = 25.32/4.23 X420) => 25.32/4.23 (X414( 25.32/4.23 X418) <=> 25.32/4.23 X416( 25.32/4.23 X420)))) => 25.32/4.23 (( 25.32/4.23 ?[X422]: 25.32/4.23 (X414( 25.32/4.23 X422) & 25.32/4.23 (![X424]: 25.32/4.23 (X414( 25.32/4.23 X424) => 25.32/4.23 (X422 = 25.32/4.23 X424))))) <=> 25.32/4.23 (?[X426]: 25.32/4.23 (X416( 25.32/4.23 X426) & 25.32/4.23 (![X428]: 25.32/4.23 (X416( 25.32/4.23 X428) => 25.32/4.23 (X426 = 25.32/4.23 X428)))))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 emptyset = 25.32/4.23 emptyset) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X430, 25.32/4.23 X432]: 25.32/4.23 (( 25.32/4.23 X430 = 25.32/4.23 X432) => 25.32/4.23 (![X434, 25.32/4.23 X436]: 25.32/4.23 (( 25.32/4.23 X434 = 25.32/4.23 X436) => 25.32/4.23 (setadjoin( 25.32/4.23 X430,X434) = 25.32/4.23 setadjoin( 25.32/4.23 X432,X436)))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X438, 25.32/4.23 X440]: 25.32/4.23 (( 25.32/4.23 X438 = 25.32/4.23 X440) => 25.32/4.23 (powerset( 25.32/4.23 X438) = 25.32/4.23 powerset( 25.32/4.23 X440)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X442, 25.32/4.23 X444]: 25.32/4.23 (( 25.32/4.23 X442 = 25.32/4.23 X444) => 25.32/4.23 (setunion( 25.32/4.23 X442) = 25.32/4.23 setunion( 25.32/4.23 X444)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 omega = 25.32/4.23 omega) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X446:( 25.32/4.23 ( 25.32/4.23 $i > $o))]: 25.32/4.23 (( 25.32/4.23 ?[X448]: 25.32/4.23 (X446( 25.32/4.23 X448) & 25.32/4.23 (![X450]: 25.32/4.23 (X446( 25.32/4.23 X450) => 25.32/4.23 (X448 = 25.32/4.23 X450))))) => 25.32/4.23 (![X452, 25.32/4.23 X454]: 25.32/4.23 (X446( 25.32/4.23 X452) => 25.32/4.23 (X446( 25.32/4.23 X454) => 25.32/4.23 (X452 = 25.32/4.23 X454)))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X456:( 25.32/4.23 ( 25.32/4.23 $i > $o)), 25.32/4.23 X458:( 25.32/4.23 ( 25.32/4.23 $i > $o))]: 25.32/4.23 (( 25.32/4.23 ![X460, 25.32/4.23 X462]: 25.32/4.23 (( 25.32/4.23 X460 = 25.32/4.23 X462) => 25.32/4.23 (X456( 25.32/4.23 X460) <=> 25.32/4.23 X458( 25.32/4.23 X462)))) => 25.32/4.23 (( 25.32/4.23 ?[X464]: 25.32/4.23 (X456( 25.32/4.23 X464) & 25.32/4.23 (![X466]: 25.32/4.23 (X456( 25.32/4.23 X466) => 25.32/4.23 (X464 = 25.32/4.23 X466))))) => 25.32/4.23 (( 25.32/4.23 ?[X468]: 25.32/4.23 (X458( 25.32/4.23 X468) & 25.32/4.23 (![X470]: 25.32/4.23 (X458( 25.32/4.23 X470) => 25.32/4.23 (X468 = 25.32/4.23 X470))))) => 25.32/4.23 (descr( 25.32/4.23 ^[V_9]: 25.32/4.23 X456(V_9)) = 25.32/4.23 descr( 25.32/4.23 ^[V_10]: 25.32/4.23 X458( 25.32/4.23 V_10))))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X472, 25.32/4.23 X474]: 25.32/4.23 (( 25.32/4.23 X472 = 25.32/4.23 X474) => 25.32/4.23 (![X476:( 25.32/4.23 ( 25.32/4.23 $i > $o)), 25.32/4.23 X478:( 25.32/4.23 ( 25.32/4.23 $i > $o))]: 25.32/4.23 (( 25.32/4.23 ![X480]: 25.32/4.23 (in( 25.32/4.23 X480,X472) => 25.32/4.23 (![X482]: 25.32/4.23 (in( 25.32/4.23 X482,X474) => 25.32/4.23 (( 25.32/4.23 X480 = 25.32/4.23 X482) => 25.32/4.23 (X476( 25.32/4.23 X480) <=> 25.32/4.23 X478( 25.32/4.23 X482))))))) => 25.32/4.23 (dsetconstr( 25.32/4.23 X472, 25.32/4.23 ^[V_11]: 25.32/4.23 X476( 25.32/4.23 V_11)) = 25.32/4.23 dsetconstr( 25.32/4.23 X474, 25.32/4.23 ^[V_12]: 25.32/4.23 X478( 25.32/4.23 V_12))))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X484, 25.32/4.23 X486]: 25.32/4.23 (( 25.32/4.23 ![X488]: 25.32/4.23 (in( 25.32/4.23 X488,X484) => 25.32/4.23 in( 25.32/4.23 X488,X486))) => 25.32/4.23 subset( 25.32/4.23 X484,X486))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X490, 25.32/4.23 X492]: 25.32/4.23 (( 25.32/4.23 X490 = 25.32/4.23 X492) => 25.32/4.23 subset( 25.32/4.23 X492,X490))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X494, 25.32/4.23 X496]: 25.32/4.23 (( 25.32/4.23 X494 = 25.32/4.23 X496) => 25.32/4.23 subset( 25.32/4.23 X494,X496))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X498, 25.32/4.23 X500]: 25.32/4.23 (( 25.32/4.23 ![X502]: 25.32/4.23 (in( 25.32/4.23 X502,X498) => 25.32/4.23 in( 25.32/4.23 X502,X500))) => 25.32/4.23 subset( 25.32/4.23 X498,X500))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X504]: 25.32/4.23 subset( 25.32/4.23 emptyset, 25.32/4.23 X504)) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X506, 25.32/4.23 X508,X510]: 25.32/4.23 (subset( 25.32/4.23 X506,X508) => 25.32/4.23 (in( 25.32/4.23 X510,X506) => 25.32/4.23 in( 25.32/4.23 X510,X508)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X512, 25.32/4.23 X514,X516]: 25.32/4.23 (subset( 25.32/4.23 X512,X514) => 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X516,X514)) => 25.32/4.23 (~ 25.32/4.23 in( 25.32/4.23 X516,X512))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X518, 25.32/4.23 X520,X522]: 25.32/4.23 (in( 25.32/4.23 X522,X518) => 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X522,X520)) => 25.32/4.23 (~ 25.32/4.23 subset( 25.32/4.23 X518,X520))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X524, 25.32/4.23 X526]: 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 subset( 25.32/4.23 X524,X526)) => 25.32/4.23 (X524 != 25.32/4.23 X526))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X528, 25.32/4.23 X530,X532]: 25.32/4.23 (in( 25.32/4.23 X532,X528) => 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X532,X530)) => 25.32/4.23 (X528 != 25.32/4.23 X530)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X534]: 25.32/4.23 subset( 25.32/4.23 X534,X534)) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X536, 25.32/4.23 X538,X540]: 25.32/4.23 (subset( 25.32/4.23 X536,X538) => 25.32/4.23 (subset( 25.32/4.23 X538,X540) => 25.32/4.23 subset( 25.32/4.23 X536,X540)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X542, 25.32/4.23 X544]: 25.32/4.23 subset( 25.32/4.23 X544, 25.32/4.23 setadjoin( 25.32/4.23 X542,X544))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X546, 25.32/4.23 X548,X550]: 25.32/4.23 (subset( 25.32/4.23 X546,X550) => 25.32/4.23 subset( 25.32/4.23 X546, 25.32/4.23 setadjoin( 25.32/4.23 X548,X550)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X552, 25.32/4.23 X554]: 25.32/4.23 (subset( 25.32/4.23 X552,X554) => 25.32/4.23 in( 25.32/4.23 X552, 25.32/4.23 powerset( 25.32/4.23 X554)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X556, 25.32/4.23 X558]: 25.32/4.23 (subset( 25.32/4.23 X556,X558) => 25.32/4.23 (subset( 25.32/4.23 X558,X556) => 25.32/4.23 (X556 = 25.32/4.23 X558)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X560]: 25.32/4.23 (subset( 25.32/4.23 X560, 25.32/4.23 emptyset) => 25.32/4.23 (X560 = 25.32/4.23 emptyset))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X562, 25.32/4.23 X564]: 25.32/4.23 (subset( 25.32/4.23 X564,X562) => 25.32/4.23 in( 25.32/4.23 X564, 25.32/4.23 powerset( 25.32/4.23 X562)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X566, 25.32/4.23 X568]: 25.32/4.23 (in( 25.32/4.23 X568, 25.32/4.23 powerset( 25.32/4.23 X566)) => 25.32/4.23 subset( 25.32/4.23 X568,X566))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X570]: 25.32/4.23 in( 25.32/4.23 X570, 25.32/4.23 powerset( 25.32/4.23 X570))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X572, 25.32/4.23 X574]: 25.32/4.23 (subset( 25.32/4.23 X572,X574) => 25.32/4.23 subset( 25.32/4.23 powerset( 25.32/4.23 X572), 25.32/4.23 powerset( 25.32/4.23 X574)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X576, 25.32/4.23 X578:( 25.32/4.23 ( 25.32/4.23 $i > $o))]: 25.32/4.23 in( 25.32/4.23 dsetconstr( 25.32/4.23 X576, 25.32/4.23 ^[V_13]: 25.32/4.23 X578( 25.32/4.23 V_13)), 25.32/4.23 powerset( 25.32/4.23 X576))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X580, 25.32/4.23 X582:( 25.32/4.23 ( 25.32/4.23 $i > $o))]: 25.32/4.23 subset( 25.32/4.23 dsetconstr( 25.32/4.23 X580, 25.32/4.23 ^[V_14]: 25.32/4.23 X582( 25.32/4.23 V_14)), 25.32/4.23 X580)) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X584, 25.32/4.23 X586,X588]: 25.32/4.23 (in( 25.32/4.23 X588,X584) => 25.32/4.23 in( 25.32/4.23 X588, 25.32/4.23 binunion( 25.32/4.23 X584,X586)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X590, 25.32/4.23 X592]: 25.32/4.23 in( 25.32/4.23 X592, 25.32/4.23 setadjoin( 25.32/4.23 X590, 25.32/4.23 setadjoin( 25.32/4.23 X592, 25.32/4.23 emptyset)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X594, 25.32/4.23 X596,X598]: 25.32/4.23 (in( 25.32/4.23 X598,X596) => 25.32/4.23 in( 25.32/4.23 X598, 25.32/4.23 binunion( 25.32/4.23 X594,X596)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X600, 25.32/4.23 X602, 25.32/4.23 X604, 25.32/4.23 X606:$o]: 25.32/4.23 (in( 25.32/4.23 X604, 25.32/4.23 binunion( 25.32/4.23 X600,X602)) => 25.32/4.23 (( 25.32/4.23 in( 25.32/4.23 X604,X600) => 25.32/4.23 X606) => 25.32/4.23 (( 25.32/4.23 in( 25.32/4.23 X604,X602) => 25.32/4.23 X606) => 25.32/4.23 X606)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X608, 25.32/4.23 X610,X612]: 25.32/4.23 (in( 25.32/4.23 X612, 25.32/4.23 binunion( 25.32/4.23 X608,X610)) => 25.32/4.23 (in( 25.32/4.23 X612,X610) | 25.32/4.23 in( 25.32/4.23 X612,X608)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X614, 25.32/4.23 X616]: 25.32/4.23 subset( 25.32/4.23 X614, 25.32/4.23 binunion( 25.32/4.23 X614,X616))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X618, 25.32/4.23 X620]: 25.32/4.23 subset( 25.32/4.23 X620, 25.32/4.23 binunion( 25.32/4.23 X618,X620))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X622, 25.32/4.23 X624,X626]: 25.32/4.23 (in( 25.32/4.23 X626,X622) => 25.32/4.23 (in( 25.32/4.23 X626,X624) => 25.32/4.23 in( 25.32/4.23 X626, 25.32/4.23 binintersect( 25.32/4.23 X622,X624))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X628, 25.32/4.23 X630,X632]: 25.32/4.23 (subset( 25.32/4.23 X632,X628) => 25.32/4.23 (subset( 25.32/4.23 X632,X630) => 25.32/4.23 subset( 25.32/4.23 X632, 25.32/4.23 binintersect( 25.32/4.23 X628,X630))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X634, 25.32/4.23 X636,X638]: 25.32/4.23 (in( 25.32/4.23 X638, 25.32/4.23 binintersect( 25.32/4.23 X634,X636)) => 25.32/4.23 in( 25.32/4.23 X638,X634))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X640, 25.32/4.23 X642]: 25.32/4.23 subset( 25.32/4.23 binintersect( 25.32/4.23 X640,X642), 25.32/4.23 X640)) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X644, 25.32/4.23 X646]: 25.32/4.23 (subset( 25.32/4.23 X644,X646) => 25.32/4.23 (binintersect( 25.32/4.23 X644,X646) = 25.32/4.23 X644))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X648, 25.32/4.23 X650]: 25.32/4.23 (( 25.32/4.23 binintersect( 25.32/4.23 X648,X650) = 25.32/4.23 X650) => 25.32/4.23 subset( 25.32/4.23 X650,X648))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X652, 25.32/4.23 X654,X656]: 25.32/4.23 (in( 25.32/4.23 X656, 25.32/4.23 binintersect( 25.32/4.23 X652,X654)) => 25.32/4.23 in( 25.32/4.23 X656,X654))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X658, 25.32/4.23 X660]: 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 ( 25.32/4.23 ?[X662]: 25.32/4.23 (in( 25.32/4.23 X662,X658) & 25.32/4.23 in( 25.32/4.23 X662,X660)))) => 25.32/4.23 (binintersect( 25.32/4.23 X658,X660) = 25.32/4.23 emptyset))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X664, 25.32/4.23 X666]: 25.32/4.23 subset( 25.32/4.23 binintersect( 25.32/4.23 X664,X666), 25.32/4.23 X666)) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X668, 25.32/4.23 X670]: 25.32/4.23 (subset( 25.32/4.23 X670,X668) => 25.32/4.23 (binintersect( 25.32/4.23 X668,X670) = 25.32/4.23 X670))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X672, 25.32/4.23 X674]: 25.32/4.23 (( 25.32/4.23 binintersect( 25.32/4.23 X672,X674) = 25.32/4.23 X672) => 25.32/4.23 subset( 25.32/4.23 X672,X674))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X676, 25.32/4.23 X678,X680]: 25.32/4.23 (binintersect( 25.32/4.23 X676, 25.32/4.23 binunion( 25.32/4.23 X678,X680)) = 25.32/4.23 binunion( 25.32/4.23 binintersect( 25.32/4.23 X676,X678), 25.32/4.23 binintersect( 25.32/4.23 X676,X680)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X682, 25.32/4.23 X684,X686]: 25.32/4.23 (in( 25.32/4.23 X686,X682) => 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X686,X684)) => 25.32/4.23 in( 25.32/4.23 X686, 25.32/4.23 setminus( 25.32/4.23 X682,X684))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X688, 25.32/4.23 X690,X692]: 25.32/4.23 (in( 25.32/4.23 X692, 25.32/4.23 setminus( 25.32/4.23 X688,X690)) => 25.32/4.23 in( 25.32/4.23 X692,X688))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X694, 25.32/4.23 X696,X698]: 25.32/4.23 (in( 25.32/4.23 X698, 25.32/4.23 setminus( 25.32/4.23 X694,X696)) => 25.32/4.23 (~ 25.32/4.23 in( 25.32/4.23 X698,X696)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X700, 25.32/4.23 X702]: 25.32/4.23 (subset( 25.32/4.23 X700,X702) => 25.32/4.23 (setminus( 25.32/4.23 X700,X702) = 25.32/4.23 emptyset))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X704, 25.32/4.23 X706,X708]: 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X708, 25.32/4.23 setminus( 25.32/4.23 X704,X706))) => 25.32/4.23 (in( 25.32/4.23 X708,X704) => 25.32/4.23 in( 25.32/4.23 X708,X706)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X710, 25.32/4.23 X712,X714]: 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X714, 25.32/4.23 setminus( 25.32/4.23 X710,X712))) => 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X714,X712)) => 25.32/4.23 (~ 25.32/4.23 in( 25.32/4.23 X714,X710))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X716, 25.32/4.23 X718,X720]: 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X720,X716)) => 25.32/4.23 (~ 25.32/4.23 in( 25.32/4.23 X720, 25.32/4.23 setminus( 25.32/4.23 X716,X718))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X722, 25.32/4.23 X724,X726]: 25.32/4.23 (in( 25.32/4.23 X726,X724) => 25.32/4.23 (~ 25.32/4.23 in( 25.32/4.23 X726, 25.32/4.23 setminus( 25.32/4.23 X722,X724))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X728, 25.32/4.23 X730]: 25.32/4.23 subset( 25.32/4.23 setminus( 25.32/4.23 X728,X730), 25.32/4.23 X728)) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X732, 25.32/4.23 X734]: 25.32/4.23 (( 25.32/4.23 setminus( 25.32/4.23 X732,X734) = 25.32/4.23 emptyset) => 25.32/4.23 subset( 25.32/4.23 X732,X734))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X736, 25.32/4.23 X738,X740]: 25.32/4.23 (in( 25.32/4.23 X740, 25.32/4.23 symdiff( 25.32/4.23 X736,X738)) => 25.32/4.23 (![X742:$o]: 25.32/4.23 (( 25.32/4.23 in( 25.32/4.23 X740,X736) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X740,X738)) => 25.32/4.23 X742)) => 25.32/4.23 (( 25.32/4.23 ( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X740,X736)) => 25.32/4.23 ( 25.32/4.23 in( 25.32/4.23 X740,X738) => 25.32/4.23 X742)) => 25.32/4.23 X742))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X744, 25.32/4.23 X746,X748]: 25.32/4.23 (in( 25.32/4.23 X748,X744) => 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X748,X746)) => 25.32/4.23 in( 25.32/4.23 X748, 25.32/4.23 symdiff( 25.32/4.23 X744,X746))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X750, 25.32/4.23 X752,X754]: 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X754,X750)) => 25.32/4.23 (in( 25.32/4.23 X754,X752) => 25.32/4.23 in( 25.32/4.23 X754, 25.32/4.23 symdiff( 25.32/4.23 X750,X752))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X756, 25.32/4.23 X758,X760]: 25.32/4.23 (in( 25.32/4.23 X760,X756) => 25.32/4.23 (in( 25.32/4.23 X760,X758) => 25.32/4.23 (~ 25.32/4.23 in( 25.32/4.23 X760, 25.32/4.23 symdiff( 25.32/4.23 X756,X758)))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X762, 25.32/4.23 X764,X766]: 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X766,X762)) => 25.32/4.23 (( 25.32/4.23 ~ 25.32/4.23 in( 25.32/4.23 X766,X764)) => 25.32/4.23 (~ 25.32/4.23 in( 25.32/4.23 X766, 25.32/4.23 symdiff( 25.32/4.23 X762,X764)))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X768, 25.32/4.23 X770]: 25.32/4.23 in( 25.32/4.23 X770, 25.32/4.23 setadjoin( 25.32/4.23 X768, 25.32/4.23 setadjoin( 25.32/4.23 X770, 25.32/4.23 emptyset)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X772, 25.32/4.23 X774]: 25.32/4.23 in( 25.32/4.23 X772, 25.32/4.23 setunion( 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X772, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X772, 25.32/4.23 setadjoin( 25.32/4.23 X774, 25.32/4.23 emptyset)), 25.32/4.23 emptyset))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X776, 25.32/4.23 X778]: 25.32/4.23 in( 25.32/4.23 X778, 25.32/4.23 setunion( 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X776, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X776, 25.32/4.23 setadjoin( 25.32/4.23 X778, 25.32/4.23 emptyset)), 25.32/4.23 emptyset))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X780, 25.32/4.23 X782]: 25.32/4.23 iskpair( 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X780, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X780, 25.32/4.23 setadjoin( 25.32/4.23 X782, 25.32/4.23 emptyset)), 25.32/4.23 emptyset)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X784, 25.32/4.23 X786]: 25.32/4.23 iskpair( 25.32/4.23 kpair( 25.32/4.23 X784,X786))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X788, 25.32/4.23 X790]: 25.32/4.23 (in( 25.32/4.23 X790,X788) => 25.32/4.23 subset( 25.32/4.23 setadjoin( 25.32/4.23 X790, 25.32/4.23 emptyset), 25.32/4.23 X788))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X792, 25.32/4.23 X794]: 25.32/4.23 (in( 25.32/4.23 X794,X792) => 25.32/4.23 in( 25.32/4.23 setadjoin( 25.32/4.23 X794, 25.32/4.23 emptyset), 25.32/4.23 powerset( 25.32/4.23 X792)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X796, 25.32/4.23 X798,X800]: 25.32/4.23 (in( 25.32/4.23 X800,X796) => 25.32/4.23 in( 25.32/4.23 setadjoin( 25.32/4.23 X800, 25.32/4.23 emptyset), 25.32/4.23 powerset( 25.32/4.23 binunion( 25.32/4.23 X796,X798))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X802, 25.32/4.23 X804,X806]: 25.32/4.23 (in( 25.32/4.23 X806, 25.32/4.23 setadjoin( 25.32/4.23 X802, 25.32/4.23 setadjoin( 25.32/4.23 X804, 25.32/4.23 emptyset))) => 25.32/4.23 (( 25.32/4.23 X806 = 25.32/4.23 X804) | 25.32/4.23 (X806 = 25.32/4.23 X802)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X808, 25.32/4.23 X810,X812]: 25.32/4.23 (in( 25.32/4.23 X812,X808) => 25.32/4.23 (![X814]: 25.32/4.23 (in( 25.32/4.23 X814,X810) => 25.32/4.23 subset( 25.32/4.23 setadjoin( 25.32/4.23 X812, 25.32/4.23 setadjoin( 25.32/4.23 X814, 25.32/4.23 emptyset)), 25.32/4.23 binunion( 25.32/4.23 X808,X810)))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X816, 25.32/4.23 X818,X820]: 25.32/4.23 (in( 25.32/4.23 X820,X816) => 25.32/4.23 (![X822]: 25.32/4.23 (in( 25.32/4.23 X822,X818) => 25.32/4.23 in( 25.32/4.23 setadjoin( 25.32/4.23 X820, 25.32/4.23 setadjoin( 25.32/4.23 X822, 25.32/4.23 emptyset)), 25.32/4.23 powerset( 25.32/4.23 binunion( 25.32/4.23 X816,X818))))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X824, 25.32/4.23 X826,X828]: 25.32/4.23 (in( 25.32/4.23 X828,X824) => 25.32/4.23 (![X830]: 25.32/4.23 (in( 25.32/4.23 X830,X826) => 25.32/4.23 subset( 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X828, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X828, 25.32/4.23 setadjoin( 25.32/4.23 X830, 25.32/4.23 emptyset)), 25.32/4.23 emptyset)), 25.32/4.23 powerset( 25.32/4.23 binunion( 25.32/4.23 X824,X826))))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X832, 25.32/4.23 X834,X836]: 25.32/4.23 (in( 25.32/4.23 X836,X832) => 25.32/4.23 (![X838]: 25.32/4.23 (in( 25.32/4.23 X838,X834) => 25.32/4.23 in( 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X836, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X836, 25.32/4.23 setadjoin( 25.32/4.23 X838, 25.32/4.23 emptyset)), 25.32/4.23 emptyset)), 25.32/4.23 powerset( 25.32/4.23 powerset( 25.32/4.23 binunion( 25.32/4.23 X832,X834)))))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X840, 25.32/4.23 X842,X844]: 25.32/4.23 (in( 25.32/4.23 X844,X840) => 25.32/4.23 (![X846]: 25.32/4.23 (in( 25.32/4.23 X846,X842) => 25.32/4.23 in( 25.32/4.23 kpair( 25.32/4.23 X844,X846), 25.32/4.23 powerset( 25.32/4.23 powerset( 25.32/4.23 binunion( 25.32/4.23 X840,X842)))))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X848, 25.32/4.23 X850,X852]: 25.32/4.23 (in( 25.32/4.23 X852,X848) => 25.32/4.23 (![X854]: 25.32/4.23 (in( 25.32/4.23 X854,X850) => 25.32/4.23 in( 25.32/4.23 kpair( 25.32/4.23 X852,X854), 25.32/4.23 cartprod( 25.32/4.23 X848,X850)))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X856, 25.32/4.23 X858,X860]: 25.32/4.23 (in( 25.32/4.23 X860, 25.32/4.23 cartprod( 25.32/4.23 X856,X858)) => 25.32/4.23 (?[X862]: 25.32/4.23 (in( 25.32/4.23 X862,X856) & 25.32/4.23 (?[X864]: 25.32/4.23 (in( 25.32/4.23 X864,X858) & 25.32/4.23 (X860 = 25.32/4.23 kpair( 25.32/4.23 X862,X864)))))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X866, 25.32/4.23 X868,X870]: 25.32/4.23 (in( 25.32/4.23 X870, 25.32/4.23 cartprod( 25.32/4.23 X866,X868)) => 25.32/4.23 iskpair( 25.32/4.23 X870))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X872, 25.32/4.23 X874]: 25.32/4.23 (in( 25.32/4.23 X874, 25.32/4.23 setunion( 25.32/4.23 X872)) => 25.32/4.23 (?[X876]: 25.32/4.23 (in( 25.32/4.23 X876,X872) & 25.32/4.23 in( 25.32/4.23 X874,X876))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X878]: 25.32/4.23 subset( 25.32/4.23 setunion( 25.32/4.23 setadjoin( 25.32/4.23 X878, 25.32/4.23 emptyset)), 25.32/4.23 X878)) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X880]: 25.32/4.23 subset( 25.32/4.23 X880, 25.32/4.23 setunion( 25.32/4.23 setadjoin( 25.32/4.23 X880, 25.32/4.23 emptyset)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X882]: 25.32/4.23 (setunion( 25.32/4.23 setadjoin( 25.32/4.23 X882, 25.32/4.23 emptyset)) = 25.32/4.23 X882)) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X884, 25.32/4.23 X886:( 25.32/4.23 ( 25.32/4.23 $i > $o))]: 25.32/4.23 (( 25.32/4.23 ![X888]: 25.32/4.23 (in( 25.32/4.23 X888,X884) => 25.32/4.23 (![X890]: 25.32/4.23 (in( 25.32/4.23 X890,X884) => 25.32/4.23 (X886( 25.32/4.23 X888) => 25.32/4.23 (X886( 25.32/4.23 X890) => 25.32/4.23 (X888 = 25.32/4.23 X890))))))) => 25.32/4.23 (( 25.32/4.23 ?[X892]: 25.32/4.23 (in( 25.32/4.23 X892,X884) & 25.32/4.23 X886( 25.32/4.23 X892))) => 25.32/4.23 singleton( 25.32/4.23 dsetconstr( 25.32/4.23 X884, 25.32/4.23 ^[V_15]: 25.32/4.23 X886( 25.32/4.23 V_15)))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X894, 25.32/4.23 X896:( 25.32/4.23 ( 25.32/4.23 $i > $o))]: 25.32/4.23 (singleton( 25.32/4.23 dsetconstr( 25.32/4.23 X894, 25.32/4.23 ^[V_16]: 25.32/4.23 X896( 25.32/4.23 V_16))) => 25.32/4.23 (?[X898]: 25.32/4.23 (in( 25.32/4.23 X898,X894) & 25.32/4.23 X896( 25.32/4.23 X898))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X900, 25.32/4.23 X902:( 25.32/4.23 ( 25.32/4.23 $i > $o)), 25.32/4.23 X904]: 25.32/4.23 (in( 25.32/4.23 X904,X900) => 25.32/4.23 (X902( 25.32/4.23 X904) => 25.32/4.23 (( 25.32/4.23 ![X906]: 25.32/4.23 (in( 25.32/4.23 X906,X900) => 25.32/4.23 (X902( 25.32/4.23 X906) => 25.32/4.23 (X906 = 25.32/4.23 X904)))) => 25.32/4.23 singleton( 25.32/4.23 dsetconstr( 25.32/4.23 X900, 25.32/4.23 ^[V_17]: 25.32/4.23 X902( 25.32/4.23 V_17))))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X908, 25.32/4.23 X910:( 25.32/4.23 ( 25.32/4.23 $i > $o))]: 25.32/4.23 (( 25.32/4.23 ![X912]: 25.32/4.23 (in( 25.32/4.23 X912,X908) => 25.32/4.23 (![X914]: 25.32/4.23 (in( 25.32/4.23 X914,X908) => 25.32/4.23 (X910( 25.32/4.23 X912) => 25.32/4.23 (X910( 25.32/4.23 X914) => 25.32/4.23 (X912 = 25.32/4.23 X914))))))) => 25.32/4.23 (( 25.32/4.23 ?[X916]: 25.32/4.23 (in( 25.32/4.23 X916,X908) & 25.32/4.23 X910( 25.32/4.23 X916))) => 25.32/4.23 singleton( 25.32/4.23 dsetconstr( 25.32/4.23 X908, 25.32/4.23 ^[V_18]: 25.32/4.23 X910( 25.32/4.23 V_18)))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X918, 25.32/4.23 X920]: 25.32/4.23 (( 25.32/4.23 setadjoin( 25.32/4.23 X918, 25.32/4.23 emptyset) = 25.32/4.23 setadjoin( 25.32/4.23 X920, 25.32/4.23 emptyset)) => 25.32/4.23 (X918 = 25.32/4.23 X920))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X922, 25.32/4.23 X924,X926]: 25.32/4.23 (in( 25.32/4.23 setadjoin( 25.32/4.23 X926, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X922, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X922, 25.32/4.23 setadjoin( 25.32/4.23 X924, 25.32/4.23 emptyset)), 25.32/4.23 emptyset))) => 25.32/4.23 (X922 = 25.32/4.23 X926))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X928]: 25.32/4.23 (iskpair( 25.32/4.23 X928) => 25.32/4.23 singleton( 25.32/4.23 dsetconstr( 25.32/4.23 setunion( 25.32/4.23 X928), 25.32/4.23 ^[V_19]: 25.32/4.23 in( 25.32/4.23 setadjoin( 25.32/4.23 V_19, 25.32/4.23 emptyset), 25.32/4.23 X928))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X930]: 25.32/4.23 (singleton( 25.32/4.23 X930) => 25.32/4.23 in( 25.32/4.23 setunion( 25.32/4.23 X930), 25.32/4.23 X930))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X932, 25.32/4.23 X934]: 25.32/4.23 (kfst( 25.32/4.23 kpair( 25.32/4.23 X932,X934)) = 25.32/4.23 X932)) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X936, 25.32/4.23 X938,X940]: 25.32/4.23 (in( 25.32/4.23 X940, 25.32/4.23 cartprod( 25.32/4.23 X936,X938)) => 25.32/4.23 in( 25.32/4.23 kfst( 25.32/4.23 X940), 25.32/4.23 X936))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X942, 25.32/4.23 X944, 25.32/4.23 X946,X948]: 25.32/4.23 (( 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X942, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X942, 25.32/4.23 setadjoin( 25.32/4.23 X944, 25.32/4.23 emptyset)), 25.32/4.23 emptyset)) = 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X946, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X946, 25.32/4.23 setadjoin( 25.32/4.23 X948, 25.32/4.23 emptyset)), 25.32/4.23 emptyset))) => 25.32/4.23 (X942 = 25.32/4.23 X946))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X950, 25.32/4.23 X952, 25.32/4.23 X954,X956]: 25.32/4.23 (( 25.32/4.23 kpair( 25.32/4.23 X950,X952) = 25.32/4.23 kpair( 25.32/4.23 X954,X956)) => 25.32/4.23 (X950 = 25.32/4.23 X954))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X958, 25.32/4.23 X960]: 25.32/4.23 (( 25.32/4.23 X958 = 25.32/4.23 X960) => 25.32/4.23 (setadjoin( 25.32/4.23 X958, 25.32/4.23 setadjoin( 25.32/4.23 X960, 25.32/4.23 emptyset)) = 25.32/4.23 setadjoin( 25.32/4.23 X958, 25.32/4.23 emptyset)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X962, 25.32/4.23 X964]: 25.32/4.23 (( 25.32/4.23 X962 = 25.32/4.23 X964) => 25.32/4.23 (setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X962, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X962, 25.32/4.23 setadjoin( 25.32/4.23 X964, 25.32/4.23 emptyset)), 25.32/4.23 emptyset)) = 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X962, 25.32/4.23 emptyset), 25.32/4.23 emptyset)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X966, 25.32/4.23 X968, 25.32/4.23 X970,X972]: 25.32/4.23 (( 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X966, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X966, 25.32/4.23 setadjoin( 25.32/4.23 X968, 25.32/4.23 emptyset)), 25.32/4.23 emptyset)) = 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X970, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X970, 25.32/4.23 setadjoin( 25.32/4.23 X972, 25.32/4.23 emptyset)), 25.32/4.23 emptyset))) => 25.32/4.23 (( 25.32/4.23 X970 = 25.32/4.23 X972) => 25.32/4.23 (X968 = 25.32/4.23 X972)))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X974, 25.32/4.23 X976,X978]: 25.32/4.23 (( 25.32/4.23 setadjoin( 25.32/4.23 X974, 25.32/4.23 setadjoin( 25.32/4.23 X976, 25.32/4.23 emptyset)) = 25.32/4.23 setadjoin( 25.32/4.23 X978, 25.32/4.23 emptyset)) => 25.32/4.23 (X974 = 25.32/4.23 X976))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X980, 25.32/4.23 X982, 25.32/4.23 X984,X986]: 25.32/4.23 (( 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X980, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X980, 25.32/4.23 setadjoin( 25.32/4.23 X982, 25.32/4.23 emptyset)), 25.32/4.23 emptyset)) = 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X984, 25.32/4.23 emptyset), 25.32/4.23 setadjoin( 25.32/4.23 setadjoin( 25.32/4.23 X984, 25.32/4.23 setadjoin( 25.32/4.23 X986, 25.32/4.23 emptyset)), 25.32/4.23 emptyset))) => 25.32/4.23 (X982 = 25.32/4.23 X986))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X988, 25.32/4.23 X990, 25.32/4.23 X992,X994]: 25.32/4.23 (( 25.32/4.23 kpair( 25.32/4.23 X988,X990) = 25.32/4.23 kpair( 25.32/4.23 X992,X994)) => 25.32/4.23 (X990 = 25.32/4.23 X994))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X996]: 25.32/4.23 (iskpair( 25.32/4.23 X996) => 25.32/4.23 singleton( 25.32/4.23 dsetconstr( 25.32/4.23 setunion( 25.32/4.23 X996), 25.32/4.23 ^[V_20]: 25.32/4.23 (X996 = 25.32/4.23 kpair( 25.32/4.23 kfst( 25.32/4.23 X996), 25.32/4.23 V_20)))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X998, 25.32/4.23 X1000]: 25.32/4.23 (ksnd( 25.32/4.23 kpair( 25.32/4.23 X998, 25.32/4.23 X1000)) = 25.32/4.23 X1000)) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X1002]: 25.32/4.23 (iskpair( 25.32/4.23 X1002) => 25.32/4.23 (kpair( 25.32/4.23 kfst( 25.32/4.23 X1002), 25.32/4.23 ksnd( 25.32/4.23 X1002)) = 25.32/4.23 X1002))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X1004, 25.32/4.23 X1006, 25.32/4.23 X1008]: 25.32/4.23 (in( 25.32/4.23 X1008, 25.32/4.23 cartprod( 25.32/4.23 X1004, 25.32/4.23 X1006)) => 25.32/4.23 in( 25.32/4.23 ksnd( 25.32/4.23 X1008), 25.32/4.23 X1006))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X1010, 25.32/4.23 X1012, 25.32/4.23 X1014, 25.32/4.23 X1016]: 25.32/4.23 (in( 25.32/4.23 kpair( 25.32/4.23 X1014, 25.32/4.23 X1016), 25.32/4.23 cartprod( 25.32/4.23 X1010, 25.32/4.23 X1012)) => 25.32/4.23 in( 25.32/4.23 X1014, 25.32/4.23 X1010))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X1018, 25.32/4.23 X1020, 25.32/4.23 X1022, 25.32/4.23 X1024]: 25.32/4.23 (in( 25.32/4.23 kpair( 25.32/4.23 X1022, 25.32/4.23 X1024), 25.32/4.23 cartprod( 25.32/4.23 X1018, 25.32/4.23 X1020)) => 25.32/4.23 in( 25.32/4.23 X1024, 25.32/4.23 X1020))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X1026, 25.32/4.23 X1028, 25.32/4.23 X1030]: 25.32/4.23 (in( 25.32/4.23 X1030, 25.32/4.23 X1026) => 25.32/4.23 (![X1032]: 25.32/4.23 (in( 25.32/4.23 X1032, 25.32/4.23 X1028) => 25.32/4.23 (kpair( 25.32/4.23 X1030, 25.32/4.23 X1032) = 25.32/4.23 kpair( 25.32/4.23 X1030, 25.32/4.23 X1032)))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X1034, 25.32/4.23 X1036, 25.32/4.23 X1038]: 25.32/4.23 (in( 25.32/4.23 X1038, 25.32/4.23 X1034) => 25.32/4.23 (![X1040]: 25.32/4.23 (in( 25.32/4.23 X1040, 25.32/4.23 X1036) => 25.32/4.23 (kfst( 25.32/4.23 kpair( 25.32/4.23 X1038, 25.32/4.23 X1040)) = 25.32/4.23 X1038))))) => 25.32/4.23 ( 25.32/4.23 ( 25.32/4.23 ![X1042, 25.32/4.23 X1044, 25.32/4.23 X1046]: 25.32/4.23 (in( 25.32/4.23 X1046, 25.32/4.23 X1042) => 25.32/4.23 (![X1048]: 25.32/4.23 (in( 25.32/4.23 X1048, 25.32/4.23 X1044) => 25.32/4.23 (ksnd( 25.32/4.23 kpair( 25.32/4.23 X1046, 25.32/4.24 X1048)) = 25.32/4.24 X1048))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1050, 25.32/4.24 X1052, 25.32/4.24 X1054]: 25.32/4.24 (in( 25.32/4.24 X1054, 25.32/4.24 cartprod( 25.32/4.24 X1050, 25.32/4.24 X1052)) => 25.32/4.24 (kpair( 25.32/4.24 kfst( 25.32/4.24 X1054), 25.32/4.24 ksnd( 25.32/4.24 X1054)) = 25.32/4.24 X1054))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1056, 25.32/4.24 X1058, 25.32/4.24 X1060:( 25.32/4.24 ($i * $i) > 25.32/4.24 $o),X1062]: 25.32/4.24 (in( 25.32/4.24 X1062, 25.32/4.24 X1056) => 25.32/4.24 (![X1064]: 25.32/4.24 (in( 25.32/4.24 X1064, 25.32/4.24 X1058) => 25.32/4.24 (X1060( 25.32/4.24 X1062, 25.32/4.24 X1064) => 25.32/4.24 in( 25.32/4.24 kpair( 25.32/4.24 X1062, 25.32/4.24 X1064), 25.32/4.24 dpsetconstr( 25.32/4.24 X1056, 25.32/4.24 X1058, 25.32/4.24 ^[V_21, 25.32/4.24 V_22]: 25.32/4.24 X1060( 25.32/4.24 V_21,V_22)))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1066, 25.32/4.24 X1068, 25.32/4.24 X1070:( 25.32/4.24 ($i * $i) > 25.32/4.24 $o)]: 25.32/4.24 subset( 25.32/4.24 dpsetconstr( 25.32/4.24 X1066, 25.32/4.24 X1068, 25.32/4.24 ^[V_23, 25.32/4.24 V_24]: 25.32/4.24 X1070( 25.32/4.24 V_23,V_24)), 25.32/4.24 cartprod( 25.32/4.24 X1066, 25.32/4.24 X1068))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1072, 25.32/4.24 X1074, 25.32/4.24 X1076:( 25.32/4.24 ($i * $i) > 25.32/4.24 $o)]: 25.32/4.24 subset( 25.32/4.24 dpsetconstr( 25.32/4.24 X1072, 25.32/4.24 X1074, 25.32/4.24 ^[V_25, 25.32/4.24 V_26]: 25.32/4.24 X1076( 25.32/4.24 V_25,V_26)), 25.32/4.24 cartprod( 25.32/4.24 X1072, 25.32/4.24 X1074))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1078, 25.32/4.24 X1080, 25.32/4.24 X1082:( 25.32/4.24 ($i * $i) > 25.32/4.24 $o),X1084]: 25.32/4.24 (in( 25.32/4.24 X1084, 25.32/4.24 X1078) => 25.32/4.24 (![X1086]: 25.32/4.24 (in( 25.32/4.24 X1086, 25.32/4.24 X1080) => 25.32/4.24 (in( 25.32/4.24 kpair( 25.32/4.24 X1084, 25.32/4.24 X1086), 25.32/4.24 dpsetconstr( 25.32/4.24 X1078, 25.32/4.24 X1080, 25.32/4.24 ^[V_27, 25.32/4.24 V_28]: 25.32/4.24 X1082( 25.32/4.24 V_27,V_28))) => 25.32/4.24 X1082( 25.32/4.24 X1084, 25.32/4.24 X1086)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1088, 25.32/4.24 X1090, 25.32/4.24 X1092:( 25.32/4.24 ($i * $i) > 25.32/4.24 $o), 25.32/4.24 X1094, 25.32/4.24 X1096]: 25.32/4.24 (in( 25.32/4.24 kpair( 25.32/4.24 X1094, 25.32/4.24 X1096), 25.32/4.24 dpsetconstr( 25.32/4.24 X1088, 25.32/4.24 X1090, 25.32/4.24 ^[V_29, 25.32/4.24 V_30]: 25.32/4.24 X1092( 25.32/4.24 V_29,V_30))) => 25.32/4.24 in( 25.32/4.24 X1094, 25.32/4.24 X1088))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1098, 25.32/4.24 X1100, 25.32/4.24 X1102:( 25.32/4.24 ($i * $i) > 25.32/4.24 $o), 25.32/4.24 X1104, 25.32/4.24 X1106]: 25.32/4.24 (in( 25.32/4.24 kpair( 25.32/4.24 X1104, 25.32/4.24 X1106), 25.32/4.24 dpsetconstr( 25.32/4.24 X1098, 25.32/4.24 X1100, 25.32/4.24 ^[V_31, 25.32/4.24 V_32]: 25.32/4.24 X1102( 25.32/4.24 V_31,V_32))) => 25.32/4.24 in( 25.32/4.24 X1106, 25.32/4.24 X1100))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1108, 25.32/4.24 X1110, 25.32/4.24 X1112:( 25.32/4.24 ($i * $i) > 25.32/4.24 $o), 25.32/4.24 X1114, 25.32/4.24 X1116]: 25.32/4.24 (in( 25.32/4.24 kpair( 25.32/4.24 X1114, 25.32/4.24 X1116), 25.32/4.24 dpsetconstr( 25.32/4.24 X1108, 25.32/4.24 X1110, 25.32/4.24 ^[V_33, 25.32/4.24 V_34]: 25.32/4.24 X1112( 25.32/4.24 V_33,V_34))) => 25.32/4.24 X1112( 25.32/4.24 X1114, 25.32/4.24 X1116))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1118, 25.32/4.24 X1120, 25.32/4.24 X1122]: 25.32/4.24 (func( 25.32/4.24 X1118, 25.32/4.24 X1120, 25.32/4.24 X1122) => 25.32/4.24 (![X1124]: 25.32/4.24 (in( 25.32/4.24 X1124, 25.32/4.24 X1118) => 25.32/4.24 singleton( 25.32/4.24 dsetconstr( 25.32/4.24 X1120, 25.32/4.24 ^[V_35]: 25.32/4.24 in( 25.32/4.24 kpair( 25.32/4.24 X1124, 25.32/4.24 V_35), 25.32/4.24 X1122))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1126, 25.32/4.24 X1128, 25.32/4.24 X1130]: 25.32/4.24 (func( 25.32/4.24 X1126, 25.32/4.24 X1128, 25.32/4.24 X1130) => 25.32/4.24 (![X1132]: 25.32/4.24 (in( 25.32/4.24 X1132, 25.32/4.24 X1126) => 25.32/4.24 in( 25.32/4.24 setunion( 25.32/4.24 dsetconstr( 25.32/4.24 X1128, 25.32/4.24 ^[V_36]: 25.32/4.24 in( 25.32/4.24 kpair( 25.32/4.24 X1132, 25.32/4.24 V_36), 25.32/4.24 X1130))), 25.32/4.24 X1128))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1134, 25.32/4.24 X1136, 25.32/4.24 X1138]: 25.32/4.24 (func( 25.32/4.24 X1134, 25.32/4.24 X1136, 25.32/4.24 X1138) => 25.32/4.24 (![X1140]: 25.32/4.24 (in( 25.32/4.24 X1140, 25.32/4.24 X1134) => 25.32/4.24 in( 25.32/4.24 ap( 25.32/4.24 X1134, 25.32/4.24 X1136, 25.32/4.24 X1138, 25.32/4.24 X1140), 25.32/4.24 X1136))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1142, 25.32/4.24 X1144, 25.32/4.24 X1146]: 25.32/4.24 (in( 25.32/4.24 X1146, 25.32/4.24 funcSet( 25.32/4.24 X1142, 25.32/4.24 X1144)) => 25.32/4.24 func( 25.32/4.24 X1142, 25.32/4.24 X1144, 25.32/4.24 X1146))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1148, 25.32/4.24 X1150, 25.32/4.24 X1152]: 25.32/4.24 (in( 25.32/4.24 X1152, 25.32/4.24 funcSet( 25.32/4.24 X1148, 25.32/4.24 X1150)) => 25.32/4.24 (![X1154]: 25.32/4.24 (in( 25.32/4.24 X1154, 25.32/4.24 X1148) => 25.32/4.24 in( 25.32/4.24 ap( 25.32/4.24 X1148, 25.32/4.24 X1150, 25.32/4.24 X1152, 25.32/4.24 X1154), 25.32/4.24 X1150))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1156, 25.32/4.24 X1158, 25.32/4.24 X1160]: 25.32/4.24 (func( 25.32/4.24 X1156, 25.32/4.24 X1158, 25.32/4.24 X1160) => 25.32/4.24 in( 25.32/4.24 X1160, 25.32/4.24 funcSet( 25.32/4.24 X1156, 25.32/4.24 X1158)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1162, 25.32/4.24 X1164, 25.32/4.24 X1166:( 25.32/4.24 ( 25.32/4.24 $i > $i))]: 25.32/4.24 (( 25.32/4.24 ![X1168]: 25.32/4.24 (in( 25.32/4.24 X1168, 25.32/4.24 X1162) => 25.32/4.24 in( 25.32/4.24 X1166( 25.32/4.24 X1168), 25.32/4.24 X1164))) => 25.32/4.24 func( 25.32/4.24 X1162, 25.32/4.24 X1164, 25.32/4.24 dpsetconstr( 25.32/4.24 X1162, 25.32/4.24 X1164, 25.32/4.24 ^[V_37, 25.32/4.24 V_38]: 25.32/4.24 (X1166( 25.32/4.24 V_37) = 25.32/4.24 V_38))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1170, 25.32/4.24 X1172, 25.32/4.24 X1174:( 25.32/4.24 ( 25.32/4.24 $i > $i))]: 25.32/4.24 (( 25.32/4.24 ![X1176]: 25.32/4.24 (in( 25.32/4.24 X1176, 25.32/4.24 X1170) => 25.32/4.24 in( 25.32/4.24 X1174( 25.32/4.24 X1176), 25.32/4.24 X1172))) => 25.32/4.24 func( 25.32/4.24 X1170, 25.32/4.24 X1172, 25.32/4.24 lam( 25.32/4.24 X1170, 25.32/4.24 X1172, 25.32/4.24 ^[V_39]: 25.32/4.24 X1174( 25.32/4.24 V_39))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1178, 25.32/4.24 X1180, 25.32/4.24 X1182:( 25.32/4.24 ( 25.32/4.24 $i > $i))]: 25.32/4.24 (( 25.32/4.24 ![X1184]: 25.32/4.24 (in( 25.32/4.24 X1184, 25.32/4.24 X1178) => 25.32/4.24 in( 25.32/4.24 X1182( 25.32/4.24 X1184), 25.32/4.24 X1180))) => 25.32/4.24 in( 25.32/4.24 lam( 25.32/4.24 X1178, 25.32/4.24 X1180, 25.32/4.24 ^[V_40]: 25.32/4.24 X1182( 25.32/4.24 V_40)), 25.32/4.24 funcSet( 25.32/4.24 X1178, 25.32/4.24 X1180)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1186, 25.32/4.24 X1188, 25.32/4.24 X1190]: 25.32/4.24 (subset( 25.32/4.24 X1190, 25.32/4.24 cartprod( 25.32/4.24 X1186, 25.32/4.24 X1188)) => 25.32/4.24 (![X1192:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 (( 25.32/4.24 ![X1194]: 25.32/4.24 (in( 25.32/4.24 X1194, 25.32/4.24 X1186) => 25.32/4.24 (![X1196]: 25.32/4.24 (in( 25.32/4.24 X1196, 25.32/4.24 X1188) => 25.32/4.24 (in( 25.32/4.24 kpair( 25.32/4.24 X1194, 25.32/4.24 X1196), 25.32/4.24 X1190) => 25.32/4.24 X1192( 25.32/4.24 kpair( 25.32/4.24 X1194, 25.32/4.24 X1196))))))) => 25.32/4.24 (![X1198]: 25.32/4.24 (in( 25.32/4.24 X1198, 25.32/4.24 X1190) => 25.32/4.24 X1192( 25.32/4.24 X1198))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1200, 25.32/4.24 X1202, 25.32/4.24 X1204]: 25.32/4.24 (subset( 25.32/4.24 X1204, 25.32/4.24 cartprod( 25.32/4.24 X1200, 25.32/4.24 X1202)) => 25.32/4.24 (![X1206:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 (( 25.32/4.24 ![X1208]: 25.32/4.24 (in( 25.32/4.24 X1208, 25.32/4.24 X1200) => 25.32/4.24 (![X1210]: 25.32/4.24 (in( 25.32/4.24 X1210, 25.32/4.24 X1202) => 25.32/4.24 (in( 25.32/4.24 kpair( 25.32/4.24 X1208, 25.32/4.24 X1210), 25.32/4.24 X1204) => 25.32/4.24 X1206( 25.32/4.24 kpair( 25.32/4.24 X1208, 25.32/4.24 X1210))))))) => 25.32/4.24 (![X1212]: 25.32/4.24 (in( 25.32/4.24 X1212, 25.32/4.24 X1204) => 25.32/4.24 X1206( 25.32/4.24 X1212))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1214, 25.32/4.24 X1216:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 (singleton( 25.32/4.24 dsetconstr( 25.32/4.24 X1214, 25.32/4.24 ^[V_41]: 25.32/4.24 X1216( 25.32/4.24 V_41))) => 25.32/4.24 (![X1218]: 25.32/4.24 (in( 25.32/4.24 X1218, 25.32/4.24 X1214) => 25.32/4.24 (![X1220]: 25.32/4.24 (in( 25.32/4.24 X1220, 25.32/4.24 X1214) => 25.32/4.24 (X1216( 25.32/4.24 X1218) => 25.32/4.24 (X1216( 25.32/4.24 X1220) => 25.32/4.24 (X1218 = 25.32/4.24 X1220))))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1222, 25.32/4.24 X1224, 25.32/4.24 X1226]: 25.32/4.24 (func( 25.32/4.24 X1222, 25.32/4.24 X1224, 25.32/4.24 X1226) => 25.32/4.24 (![X1228]: 25.32/4.24 (in( 25.32/4.24 X1228, 25.32/4.24 X1222) => 25.32/4.24 in( 25.32/4.24 kpair( 25.32/4.24 X1228, 25.32/4.24 ap( 25.32/4.24 X1222, 25.32/4.24 X1224, 25.32/4.24 X1226, 25.32/4.24 X1228)), 25.32/4.24 X1226))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1230, 25.32/4.24 X1232, 25.32/4.24 X1234]: 25.32/4.24 (in( 25.32/4.24 X1234, 25.32/4.24 funcSet( 25.32/4.24 X1230, 25.32/4.24 X1232)) => 25.32/4.24 (![X1236]: 25.32/4.24 (in( 25.32/4.24 X1236, 25.32/4.24 X1230) => 25.32/4.24 in( 25.32/4.24 kpair( 25.32/4.24 X1236, 25.32/4.24 ap( 25.32/4.24 X1230, 25.32/4.24 X1232, 25.32/4.24 X1234, 25.32/4.24 X1236)), 25.32/4.24 X1234))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1238, 25.32/4.24 X1240, 25.32/4.24 X1242]: 25.32/4.24 (func( 25.32/4.24 X1238, 25.32/4.24 X1240, 25.32/4.24 X1242) => 25.32/4.24 (![X1244]: 25.32/4.24 (in( 25.32/4.24 X1244, 25.32/4.24 X1238) => 25.32/4.24 (![X1246]: 25.32/4.24 (in( 25.32/4.24 X1246, 25.32/4.24 X1240) => 25.32/4.24 (in( 25.32/4.24 kpair( 25.32/4.24 X1244, 25.32/4.24 X1246), 25.32/4.24 X1242) => 25.32/4.24 (ap( 25.32/4.24 X1238, 25.32/4.24 X1240, 25.32/4.24 X1242, 25.32/4.24 X1244) = 25.32/4.24 X1246)))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1248, 25.32/4.24 X1250, 25.32/4.24 X1252]: 25.32/4.24 (func( 25.32/4.24 X1248, 25.32/4.24 X1250, 25.32/4.24 X1252) => 25.32/4.24 (![X1254]: 25.32/4.24 (func( 25.32/4.24 X1248, 25.32/4.24 X1250, 25.32/4.24 X1254) => 25.32/4.24 (( 25.32/4.24 ![X1256]: 25.32/4.24 (in( 25.32/4.24 X1256, 25.32/4.24 X1248) => 25.32/4.24 (ap( 25.32/4.24 X1248, 25.32/4.24 X1250, 25.32/4.24 X1252, 25.32/4.24 X1256) = 25.32/4.24 ap( 25.32/4.24 X1248, 25.32/4.24 X1250, 25.32/4.24 X1254, 25.32/4.24 X1256)))) => 25.32/4.24 (![X1258]: 25.32/4.24 (in( 25.32/4.24 X1258, 25.32/4.24 X1248) => 25.32/4.24 (![X1260]: 25.32/4.24 (in( 25.32/4.24 X1260, 25.32/4.24 X1250) => 25.32/4.24 (in( 25.32/4.24 kpair( 25.32/4.24 X1258, 25.32/4.24 X1260), 25.32/4.24 X1254) => 25.32/4.24 in( 25.32/4.24 kpair( 25.32/4.24 X1258, 25.32/4.24 X1260), 25.32/4.24 X1252))))))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1262, 25.32/4.24 X1264, 25.32/4.24 X1266]: 25.32/4.24 (in( 25.32/4.24 X1266, 25.32/4.24 funcSet( 25.32/4.24 X1262, 25.32/4.24 X1264)) => 25.32/4.24 (![X1268]: 25.32/4.24 (in( 25.32/4.24 X1268, 25.32/4.24 X1262) => 25.32/4.24 (![X1270]: 25.32/4.24 (in( 25.32/4.24 X1270, 25.32/4.24 X1264) => 25.32/4.24 (in( 25.32/4.24 kpair( 25.32/4.24 X1268, 25.32/4.24 X1270), 25.32/4.24 X1266) => 25.32/4.24 (ap( 25.32/4.24 X1262, 25.32/4.24 X1264, 25.32/4.24 X1266, 25.32/4.24 X1268) = 25.32/4.24 X1270)))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1272, 25.32/4.24 X1274, 25.32/4.24 X1276]: 25.32/4.24 (subset( 25.32/4.24 X1276, 25.32/4.24 cartprod( 25.32/4.24 X1272, 25.32/4.24 X1274)) => 25.32/4.24 (![X1278]: 25.32/4.24 (subset( 25.32/4.24 X1278, 25.32/4.24 cartprod( 25.32/4.24 X1272, 25.32/4.24 X1274)) => 25.32/4.24 (( 25.32/4.24 ![X1280]: 25.32/4.24 (in( 25.32/4.24 X1280, 25.32/4.24 X1272) => 25.32/4.24 (![X1282]: 25.32/4.24 (in( 25.32/4.24 X1282, 25.32/4.24 X1274) => 25.32/4.24 (in( 25.32/4.24 kpair( 25.32/4.24 X1280, 25.32/4.24 X1282), 25.32/4.24 X1276) => 25.32/4.24 in( 25.32/4.24 kpair( 25.32/4.24 X1280, 25.32/4.24 X1282), 25.32/4.24 X1278)))))) => 25.32/4.24 subset( 25.32/4.24 X1276, 25.32/4.24 X1278)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1284, 25.32/4.24 X1286, 25.32/4.24 X1288]: 25.32/4.24 (subset( 25.32/4.24 X1288, 25.32/4.24 cartprod( 25.32/4.24 X1284, 25.32/4.24 X1286)) => 25.32/4.24 (![X1290]: 25.32/4.24 (subset( 25.32/4.24 X1290, 25.32/4.24 cartprod( 25.32/4.24 X1284, 25.32/4.24 X1286)) => 25.32/4.24 (( 25.32/4.24 ![X1292]: 25.32/4.24 (in( 25.32/4.24 X1292, 25.32/4.24 X1284) => 25.32/4.24 (![X1294]: 25.32/4.24 (in( 25.32/4.24 X1294, 25.32/4.24 X1286) => 25.32/4.24 (in( 25.32/4.24 kpair( 25.32/4.24 X1292, 25.32/4.24 X1294), 25.32/4.24 X1288) => 25.32/4.24 in( 25.32/4.24 kpair( 25.32/4.24 X1292, 25.32/4.24 X1294), 25.32/4.24 X1290)))))) => 25.32/4.24 (( 25.32/4.24 ![X1296]: 25.32/4.24 (in( 25.32/4.24 X1296, 25.32/4.24 X1284) => 25.32/4.24 (![X1298]: 25.32/4.24 (in( 25.32/4.24 X1298, 25.32/4.24 X1286) => 25.32/4.24 (in( 25.32/4.24 kpair( 25.32/4.24 X1296, 25.32/4.24 X1298), 25.32/4.24 X1290) => 25.32/4.24 in( 25.32/4.24 kpair( 25.32/4.24 X1296, 25.32/4.24 X1298), 25.32/4.24 X1288)))))) => 25.32/4.24 (X1288 = 25.32/4.24 X1290))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1300, 25.32/4.24 X1302, 25.32/4.24 X1304]: 25.32/4.24 (func( 25.32/4.24 X1300, 25.32/4.24 X1302, 25.32/4.24 X1304) => 25.32/4.24 (![X1306]: 25.32/4.24 (func( 25.32/4.24 X1300, 25.32/4.24 X1302, 25.32/4.24 X1306) => 25.32/4.24 (( 25.32/4.24 ![X1308]: 25.32/4.24 (in( 25.32/4.24 X1308, 25.32/4.24 X1300) => 25.32/4.24 (ap( 25.32/4.24 X1300, 25.32/4.24 X1302, 25.32/4.24 X1304, 25.32/4.24 X1308) = 25.32/4.24 ap( 25.32/4.24 X1300, 25.32/4.24 X1302, 25.32/4.24 X1306, 25.32/4.24 X1308)))) => 25.32/4.24 (X1304 = 25.32/4.24 X1306)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1310, 25.32/4.24 X1312, 25.32/4.24 X1314]: 25.32/4.24 (in( 25.32/4.24 X1314, 25.32/4.24 funcSet( 25.32/4.24 X1310, 25.32/4.24 X1312)) => 25.32/4.24 (![X1316]: 25.32/4.24 (in( 25.32/4.24 X1316, 25.32/4.24 funcSet( 25.32/4.24 X1310, 25.32/4.24 X1312)) => 25.32/4.24 (( 25.32/4.24 ![X1318]: 25.32/4.24 (in( 25.32/4.24 X1318, 25.32/4.24 X1310) => 25.32/4.24 (ap( 25.32/4.24 X1310, 25.32/4.24 X1312, 25.32/4.24 X1314, 25.32/4.24 X1318) = 25.32/4.24 ap( 25.32/4.24 X1310, 25.32/4.24 X1312, 25.32/4.24 X1316, 25.32/4.24 X1318)))) => 25.32/4.24 (X1314 = 25.32/4.24 X1316)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1320, 25.32/4.24 X1322, 25.32/4.24 X1324]: 25.32/4.24 (in( 25.32/4.24 X1324, 25.32/4.24 funcSet( 25.32/4.24 X1320, 25.32/4.24 X1322)) => 25.32/4.24 (![X1326]: 25.32/4.24 (in( 25.32/4.24 X1326, 25.32/4.24 X1320) => 25.32/4.24 (ap( 25.32/4.24 X1320, 25.32/4.24 X1322, 25.32/4.24 X1324, 25.32/4.24 X1326) = 25.32/4.24 ap( 25.32/4.24 X1320, 25.32/4.24 X1322, 25.32/4.24 X1324, 25.32/4.24 X1326)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1328, 25.32/4.24 X1330, 25.32/4.24 X1332]: 25.32/4.24 (func( 25.32/4.24 X1328, 25.32/4.24 X1330, 25.32/4.24 X1332) => 25.32/4.24 (![X1334]: 25.32/4.24 (in( 25.32/4.24 X1334, 25.32/4.24 X1328) => 25.32/4.24 (ap( 25.32/4.24 X1328, 25.32/4.24 X1330, 25.32/4.24 X1332, 25.32/4.24 X1334) = 25.32/4.24 ap( 25.32/4.24 X1328, 25.32/4.24 X1330, 25.32/4.24 X1332, 25.32/4.24 X1334)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1336, 25.32/4.24 X1338, 25.32/4.24 X1340:( 25.32/4.24 ( 25.32/4.24 $i > $i))]: 25.32/4.24 (( 25.32/4.24 ![X1342]: 25.32/4.24 (in( 25.32/4.24 X1342, 25.32/4.24 X1336) => 25.32/4.24 in( 25.32/4.24 X1340( 25.32/4.24 X1342), 25.32/4.24 X1338))) => 25.32/4.24 (![X1344]: 25.32/4.24 (in( 25.32/4.24 X1344, 25.32/4.24 X1336) => 25.32/4.24 (ap( 25.32/4.24 X1336, 25.32/4.24 X1338, 25.32/4.24 lam( 25.32/4.24 X1336, 25.32/4.24 X1338, 25.32/4.24 ^[V_42]: 25.32/4.24 X1340( 25.32/4.24 V_42)), 25.32/4.24 X1344) = 25.32/4.24 X1340( 25.32/4.24 X1344)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1346, 25.32/4.24 X1348, 25.32/4.24 X1350]: 25.32/4.24 (func( 25.32/4.24 X1346, 25.32/4.24 X1348, 25.32/4.24 X1350) => 25.32/4.24 (lam( 25.32/4.24 X1346, 25.32/4.24 X1348, 25.32/4.24 ^[V_43]: 25.32/4.24 ap( 25.32/4.24 X1346, 25.32/4.24 X1348, 25.32/4.24 X1350, 25.32/4.24 V_43)) = 25.32/4.24 X1350))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1352, 25.32/4.24 X1354, 25.32/4.24 X1356:( 25.32/4.24 ( 25.32/4.24 $i > $i))]: 25.32/4.24 (( 25.32/4.24 ![X1358]: 25.32/4.24 (in( 25.32/4.24 X1358, 25.32/4.24 X1352) => 25.32/4.24 in( 25.32/4.24 X1356( 25.32/4.24 X1358), 25.32/4.24 X1354))) => 25.32/4.24 (lam( 25.32/4.24 X1352, 25.32/4.24 X1354, 25.32/4.24 ^[V_44]: 25.32/4.24 X1356( 25.32/4.24 V_44)) = 25.32/4.24 lam( 25.32/4.24 X1352, 25.32/4.24 X1354, 25.32/4.24 ^[V_45]: 25.32/4.24 X1356( 25.32/4.24 V_45))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1360, 25.32/4.24 X1362, 25.32/4.24 X1364:( 25.32/4.24 ( 25.32/4.24 $i > $i))]: 25.32/4.24 (( 25.32/4.24 ![X1366]: 25.32/4.24 (in( 25.32/4.24 X1366, 25.32/4.24 X1360) => 25.32/4.24 in( 25.32/4.24 X1364( 25.32/4.24 X1366), 25.32/4.24 X1362))) => 25.32/4.24 (![X1368]: 25.32/4.24 (in( 25.32/4.24 X1368, 25.32/4.24 X1360) => 25.32/4.24 (ap( 25.32/4.24 X1360, 25.32/4.24 X1362, 25.32/4.24 lam( 25.32/4.24 X1360, 25.32/4.24 X1362, 25.32/4.24 ^[V_46]: 25.32/4.24 X1364( 25.32/4.24 V_46)), 25.32/4.24 X1368) = 25.32/4.24 X1364( 25.32/4.24 X1368)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1370, 25.32/4.24 X1372, 25.32/4.24 X1374]: 25.32/4.24 (in( 25.32/4.24 X1374, 25.32/4.24 funcSet( 25.32/4.24 X1370, 25.32/4.24 X1372)) => 25.32/4.24 (lam( 25.32/4.24 X1370, 25.32/4.24 X1372, 25.32/4.24 ^[V_47]: 25.32/4.24 ap( 25.32/4.24 X1370, 25.32/4.24 X1372, 25.32/4.24 X1374, 25.32/4.24 V_47)) = 25.32/4.24 X1374))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1376, 25.32/4.24 X1378:$o, 25.32/4.24 X1380]: 25.32/4.24 (in( 25.32/4.24 X1380, 25.32/4.24 X1376) => 25.32/4.24 (![X1382]: 25.32/4.24 (in( 25.32/4.24 X1382, 25.32/4.24 X1376) => 25.32/4.24 (( 25.32/4.24 ~X1378) => 25.32/4.24 in( 25.32/4.24 X1382, 25.32/4.24 dsetconstr( 25.32/4.24 X1376, 25.32/4.24 ^[V_48]: 25.32/4.24 (( 25.32/4.24 ( 25.32/4.24 V_48 = 25.32/4.24 X1382) & 25.32/4.24 ( 25.32/4.24 ~X1378)) | 25.32/4.24 (( 25.32/4.24 V_48 = 25.32/4.24 X1380) & 25.32/4.24 X1378))))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1384, 25.32/4.24 X1386:$o, 25.32/4.24 X1388]: 25.32/4.24 (in( 25.32/4.24 X1388, 25.32/4.24 X1384) => 25.32/4.24 (![X1390]: 25.32/4.24 (in( 25.32/4.24 X1390, 25.32/4.24 X1384) => 25.32/4.24 (( 25.32/4.24 ~X1386) => 25.32/4.24 (dsetconstr( 25.32/4.24 X1384, 25.32/4.24 ^[V_49]: 25.32/4.24 (( 25.32/4.24 ( 25.32/4.24 V_49 = 25.32/4.24 X1390) & 25.32/4.24 ( 25.32/4.24 ~X1386)) | 25.32/4.24 (( 25.32/4.24 V_49 = 25.32/4.24 X1388) & 25.32/4.24 X1386))) = 25.32/4.24 setadjoin( 25.32/4.24 X1390, 25.32/4.24 emptyset))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1392, 25.32/4.24 X1394:$o, 25.32/4.24 X1396]: 25.32/4.24 (in( 25.32/4.24 X1396, 25.32/4.24 X1392) => 25.32/4.24 (![X1398]: 25.32/4.24 (in( 25.32/4.24 X1398, 25.32/4.24 X1392) => 25.32/4.24 (X1394 => 25.32/4.24 in( 25.32/4.24 X1396, 25.32/4.24 dsetconstr( 25.32/4.24 X1392, 25.32/4.24 ^[V_50]: 25.32/4.24 (( 25.32/4.24 ( 25.32/4.24 V_50 = 25.32/4.24 X1398) & 25.32/4.24 ( 25.32/4.24 ~X1394)) | 25.32/4.24 (( 25.32/4.24 V_50 = 25.32/4.24 X1396) & 25.32/4.24 X1394))))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1400, 25.32/4.24 X1402:$o, 25.32/4.24 X1404]: 25.32/4.24 (in( 25.32/4.24 X1404, 25.32/4.24 X1400) => 25.32/4.24 (![X1406]: 25.32/4.24 (in( 25.32/4.24 X1406, 25.32/4.24 X1400) => 25.32/4.24 (X1402 => 25.32/4.24 (dsetconstr( 25.32/4.24 X1400, 25.32/4.24 ^[V_51]: 25.32/4.24 (( 25.32/4.24 ( 25.32/4.24 V_51 = 25.32/4.24 X1406) & 25.32/4.24 ( 25.32/4.24 ~X1402)) | 25.32/4.24 (( 25.32/4.24 V_51 = 25.32/4.24 X1404) & 25.32/4.24 X1402))) = 25.32/4.24 setadjoin( 25.32/4.24 X1404, 25.32/4.24 emptyset))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1408, 25.32/4.24 X1410:$o, 25.32/4.24 X1412]: 25.32/4.24 (in( 25.32/4.24 X1412, 25.32/4.24 X1408) => 25.32/4.24 (![X1414]: 25.32/4.24 (in( 25.32/4.24 X1414, 25.32/4.24 X1408) => 25.32/4.24 singleton( 25.32/4.24 dsetconstr( 25.32/4.24 X1408, 25.32/4.24 ^[V_52]: 25.32/4.24 (( 25.32/4.24 ( 25.32/4.24 V_52 = 25.32/4.24 X1414) & 25.32/4.24 ( 25.32/4.24 ~X1410)) | 25.32/4.24 (( 25.32/4.24 V_52 = 25.32/4.24 X1412) & 25.32/4.24 X1410)))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1416, 25.32/4.24 X1418:$o, 25.32/4.24 X1420]: 25.32/4.24 (in( 25.32/4.24 X1420, 25.32/4.24 X1416) => 25.32/4.24 (![X1422]: 25.32/4.24 (in( 25.32/4.24 X1422, 25.32/4.24 X1416) => 25.32/4.24 in( 25.32/4.24 if( 25.32/4.24 X1416, 25.32/4.24 X1418, 25.32/4.24 X1420, 25.32/4.24 X1422), 25.32/4.24 X1416))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1424]: 25.32/4.24 (singleton( 25.32/4.24 X1424) => 25.32/4.24 (![X1426]: 25.32/4.24 (in( 25.32/4.24 X1426, 25.32/4.24 X1424) => 25.32/4.24 (setunion( 25.32/4.24 X1424) = 25.32/4.24 X1426))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1428, 25.32/4.24 X1430:$o, 25.32/4.24 X1432]: 25.32/4.24 (in( 25.32/4.24 X1432, 25.32/4.24 X1428) => 25.32/4.24 (![X1434]: 25.32/4.24 (in( 25.32/4.24 X1434, 25.32/4.24 X1428) => 25.32/4.24 (X1430 => 25.32/4.24 (if( 25.32/4.24 X1428, 25.32/4.24 X1430, 25.32/4.24 X1432, 25.32/4.24 X1434) = 25.32/4.24 X1432)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1436, 25.32/4.24 X1438:$o, 25.32/4.24 X1440]: 25.32/4.24 (in( 25.32/4.24 X1440, 25.32/4.24 X1436) => 25.32/4.24 (![X1442]: 25.32/4.24 (in( 25.32/4.24 X1442, 25.32/4.24 X1436) => 25.32/4.24 (( 25.32/4.24 ~X1438) => 25.32/4.24 (if( 25.32/4.24 X1436, 25.32/4.24 X1438, 25.32/4.24 X1440, 25.32/4.24 X1442) = 25.32/4.24 X1442)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1444, 25.32/4.24 X1446:$o, 25.32/4.24 X1448]: 25.32/4.24 (in( 25.32/4.24 X1448, 25.32/4.24 X1444) => 25.32/4.24 (![X1450]: 25.32/4.24 (in( 25.32/4.24 X1450, 25.32/4.24 X1444) => 25.32/4.24 in( 25.32/4.24 if( 25.32/4.24 X1444, 25.32/4.24 X1446, 25.32/4.24 X1448, 25.32/4.24 X1450), 25.32/4.24 setadjoin( 25.32/4.24 X1448, 25.32/4.24 setadjoin( 25.32/4.24 X1450, 25.32/4.24 emptyset))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1452, 25.32/4.24 X1454]: 25.32/4.24 (in( 25.32/4.24 X1454, 25.32/4.24 powerset( 25.32/4.24 X1452)) => 25.32/4.24 (![X1456]: 25.32/4.24 (in( 25.32/4.24 X1456, 25.32/4.24 powerset( 25.32/4.24 X1452)) => 25.32/4.24 in( 25.32/4.24 binintersect( 25.32/4.24 X1454, 25.32/4.24 X1456), 25.32/4.24 powerset( 25.32/4.24 X1452)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1458, 25.32/4.24 X1460]: 25.32/4.24 (in( 25.32/4.24 X1460, 25.32/4.24 powerset( 25.32/4.24 X1458)) => 25.32/4.24 (![X1462]: 25.32/4.24 (in( 25.32/4.24 X1462, 25.32/4.24 powerset( 25.32/4.24 X1458)) => 25.32/4.24 in( 25.32/4.24 binunion( 25.32/4.24 X1460, 25.32/4.24 X1462), 25.32/4.24 powerset( 25.32/4.24 X1458)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1464, 25.32/4.24 X1466]: 25.32/4.24 (in( 25.32/4.24 X1466, 25.32/4.24 powerset( 25.32/4.24 X1464)) => 25.32/4.24 in( 25.32/4.24 powerset( 25.32/4.24 X1466), 25.32/4.24 powerset( 25.32/4.24 powerset( 25.32/4.24 X1464))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1468, 25.32/4.24 X1470]: 25.32/4.24 (in( 25.32/4.24 X1470, 25.32/4.24 powerset( 25.32/4.24 X1468)) => 25.32/4.24 (![X1472]: 25.32/4.24 (in( 25.32/4.24 X1472, 25.32/4.24 powerset( 25.32/4.24 X1468)) => 25.32/4.24 in( 25.32/4.24 setminus( 25.32/4.24 X1470, 25.32/4.24 X1472), 25.32/4.24 powerset( 25.32/4.24 X1468)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1474, 25.32/4.24 X1476]: 25.32/4.24 (in( 25.32/4.24 X1476, 25.32/4.24 powerset( 25.32/4.24 X1474)) => 25.32/4.24 in( 25.32/4.24 setminus( 25.32/4.24 X1474, 25.32/4.24 X1476), 25.32/4.24 powerset( 25.32/4.24 X1474)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1478, 25.32/4.24 X1480]: 25.32/4.24 (in( 25.32/4.24 X1480, 25.32/4.24 powerset( 25.32/4.24 X1478)) => 25.32/4.24 (![X1482]: 25.32/4.24 (in( 25.32/4.24 X1482, 25.32/4.24 powerset( 25.32/4.24 X1478)) => 25.32/4.24 (( 25.32/4.24 ![X1484]: 25.32/4.24 (in( 25.32/4.24 X1484, 25.32/4.24 X1478) => 25.32/4.24 (in( 25.32/4.24 X1484, 25.32/4.24 X1480) => 25.32/4.24 in( 25.32/4.24 X1484, 25.32/4.24 X1482)))) => 25.32/4.24 (( 25.32/4.24 ![X1486]: 25.32/4.24 (in( 25.32/4.24 X1486, 25.32/4.24 X1478) => 25.32/4.24 (in( 25.32/4.24 X1486, 25.32/4.24 X1482) => 25.32/4.24 in( 25.32/4.24 X1486, 25.32/4.24 X1480)))) => 25.32/4.24 (X1480 = 25.32/4.24 X1482))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1488, 25.32/4.24 X1490]: 25.32/4.24 (in( 25.32/4.24 X1490, 25.32/4.24 powerset( 25.32/4.24 X1488)) => 25.32/4.24 (![X1492]: 25.32/4.24 (in( 25.32/4.24 X1492, 25.32/4.24 powerset( 25.32/4.24 X1488)) => 25.32/4.24 (( 25.32/4.24 ![X1494]: 25.32/4.24 (in( 25.32/4.24 X1494, 25.32/4.24 X1488) => 25.32/4.24 (in( 25.32/4.24 X1494, 25.32/4.24 X1490) => 25.32/4.24 in( 25.32/4.24 X1494, 25.32/4.24 X1492)))) => 25.32/4.24 subset( 25.32/4.24 X1490, 25.32/4.24 X1492)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1496, 25.32/4.24 X1498]: 25.32/4.24 (in( 25.32/4.24 X1498, 25.32/4.24 powerset( 25.32/4.24 X1496)) => 25.32/4.24 (![X1500]: 25.32/4.24 (in( 25.32/4.24 X1500, 25.32/4.24 powerset( 25.32/4.24 X1496)) => 25.32/4.24 (( 25.32/4.24 ![X1502]: 25.32/4.24 (in( 25.32/4.24 X1502, 25.32/4.24 X1496) => 25.32/4.24 (in( 25.32/4.24 X1502, 25.32/4.24 X1498) => 25.32/4.24 in( 25.32/4.24 X1502, 25.32/4.24 X1500)))) => 25.32/4.24 in( 25.32/4.24 X1498, 25.32/4.24 powerset( 25.32/4.24 X1500))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1504, 25.32/4.24 X1506]: 25.32/4.24 (in( 25.32/4.24 X1506, 25.32/4.24 powerset( 25.32/4.24 X1504)) => 25.32/4.24 (![X1508]: 25.32/4.24 (in( 25.32/4.24 X1508, 25.32/4.24 powerset( 25.32/4.24 X1504)) => 25.32/4.24 (![X1510]: 25.32/4.24 (in( 25.32/4.24 X1510, 25.32/4.24 X1504) => 25.32/4.24 (in( 25.32/4.24 X1506, 25.32/4.24 powerset( 25.32/4.24 X1508)) => 25.32/4.24 (in( 25.32/4.24 X1510, 25.32/4.24 X1506) => 25.32/4.24 in( 25.32/4.24 X1510, 25.32/4.24 X1508))))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1512, 25.32/4.24 X1514]: 25.32/4.24 (in( 25.32/4.24 X1514, 25.32/4.24 powerset( 25.32/4.24 X1512)) => 25.32/4.24 (![X1516]: 25.32/4.24 (in( 25.32/4.24 X1516, 25.32/4.24 X1512) => 25.32/4.24 (in( 25.32/4.24 X1516, 25.32/4.24 X1514) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X1516, 25.32/4.24 setminus( 25.32/4.24 X1512, 25.32/4.24 X1514)))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1518, 25.32/4.24 X1520]: 25.32/4.24 (in( 25.32/4.24 X1520, 25.32/4.24 powerset( 25.32/4.24 X1518)) => 25.32/4.24 (![X1522]: 25.32/4.24 (in( 25.32/4.24 X1522, 25.32/4.24 X1518) => 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X1522, 25.32/4.24 setminus( 25.32/4.24 X1518, 25.32/4.24 X1520))) => 25.32/4.24 in( 25.32/4.24 X1522, 25.32/4.24 X1520)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1524, 25.32/4.24 X1526]: 25.32/4.24 (in( 25.32/4.24 X1526, 25.32/4.24 powerset( 25.32/4.24 X1524)) => 25.32/4.24 (![X1528]: 25.32/4.24 (in( 25.32/4.24 X1528, 25.32/4.24 powerset( 25.32/4.24 X1524)) => 25.32/4.24 (![X1530]: 25.32/4.24 (in( 25.32/4.24 X1530, 25.32/4.24 X1524) => 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X1530, 25.32/4.24 X1526)) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X1530, 25.32/4.24 binintersect( 25.32/4.24 X1526, 25.32/4.24 X1528)))))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1532, 25.32/4.24 X1534]: 25.32/4.24 (in( 25.32/4.24 X1534, 25.32/4.24 powerset( 25.32/4.24 X1532)) => 25.32/4.24 (![X1536]: 25.32/4.24 (in( 25.32/4.24 X1536, 25.32/4.24 powerset( 25.32/4.24 X1532)) => 25.32/4.24 (![X1538]: 25.32/4.24 (in( 25.32/4.24 X1538, 25.32/4.24 X1532) => 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X1538, 25.32/4.24 X1536)) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X1538, 25.32/4.24 binintersect( 25.32/4.24 X1534, 25.32/4.24 X1536)))))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1540, 25.32/4.24 X1542]: 25.32/4.24 (in( 25.32/4.24 X1542, 25.32/4.24 powerset( 25.32/4.24 X1540)) => 25.32/4.24 (![X1544]: 25.32/4.24 (in( 25.32/4.24 X1544, 25.32/4.24 powerset( 25.32/4.24 X1540)) => 25.32/4.24 (![X1546]: 25.32/4.24 (in( 25.32/4.24 X1546, 25.32/4.24 X1540) => 25.32/4.24 (subset( 25.32/4.24 X1542, 25.32/4.24 setminus( 25.32/4.24 X1540, 25.32/4.24 X1544)) => 25.32/4.24 (in( 25.32/4.24 X1546, 25.32/4.24 X1544) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X1546, 25.32/4.24 X1542)))))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1548, 25.32/4.24 X1550]: 25.32/4.24 (in( 25.32/4.24 X1550, 25.32/4.24 powerset( 25.32/4.24 X1548)) => 25.32/4.24 (![X1552]: 25.32/4.24 (in( 25.32/4.24 X1552, 25.32/4.24 powerset( 25.32/4.24 X1548)) => 25.32/4.24 (![X1554]: 25.32/4.24 (in( 25.32/4.24 X1554, 25.32/4.24 X1548) => 25.32/4.24 (subset( 25.32/4.24 X1550, 25.32/4.24 X1552) => 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X1554, 25.32/4.24 X1552)) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X1554, 25.32/4.24 X1550)))))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1556, 25.32/4.24 X1558]: 25.32/4.24 (in( 25.32/4.24 X1558, 25.32/4.24 powerset( 25.32/4.24 X1556)) => 25.32/4.24 (![X1560]: 25.32/4.24 (in( 25.32/4.24 X1560, 25.32/4.24 powerset( 25.32/4.24 X1556)) => 25.32/4.24 (subset( 25.32/4.24 X1558, 25.32/4.24 X1560) => 25.32/4.24 subset( 25.32/4.24 setminus( 25.32/4.24 X1556, 25.32/4.24 X1560), 25.32/4.24 setminus( 25.32/4.24 X1556, 25.32/4.24 X1558))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1562, 25.32/4.24 X1564]: 25.32/4.24 (in( 25.32/4.24 X1564, 25.32/4.24 powerset( 25.32/4.24 X1562)) => 25.32/4.24 (![X1566]: 25.32/4.24 (in( 25.32/4.24 X1566, 25.32/4.24 powerset( 25.32/4.24 X1562)) => 25.32/4.24 (subset( 25.32/4.24 setminus( 25.32/4.24 X1562, 25.32/4.24 X1566), 25.32/4.24 setminus( 25.32/4.24 X1562, 25.32/4.24 X1564)) => 25.32/4.24 subset( 25.32/4.24 X1564, 25.32/4.24 X1566)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1568, 25.32/4.24 X1570]: 25.32/4.24 (in( 25.32/4.24 X1570, 25.32/4.24 powerset( 25.32/4.24 X1568)) => 25.32/4.24 (![X1572]: 25.32/4.24 (in( 25.32/4.24 X1572, 25.32/4.24 X1568) => 25.32/4.24 (in( 25.32/4.24 X1572, 25.32/4.24 X1570) => 25.32/4.24 in( 25.32/4.24 X1572, 25.32/4.24 setminus( 25.32/4.24 X1568, 25.32/4.24 setminus( 25.32/4.24 X1568, 25.32/4.24 X1570)))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1574, 25.32/4.24 X1576]: 25.32/4.24 (in( 25.32/4.24 X1576, 25.32/4.24 powerset( 25.32/4.24 X1574)) => 25.32/4.24 (![X1578]: 25.32/4.24 (in( 25.32/4.24 X1578, 25.32/4.24 X1574) => 25.32/4.24 (in( 25.32/4.24 X1578, 25.32/4.24 setminus( 25.32/4.24 X1574, 25.32/4.24 setminus( 25.32/4.24 X1574, 25.32/4.24 X1576))) => 25.32/4.24 in( 25.32/4.24 X1578, 25.32/4.24 X1576)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1580, 25.32/4.24 X1582]: 25.32/4.24 (in( 25.32/4.24 X1582, 25.32/4.24 powerset( 25.32/4.24 X1580)) => 25.32/4.24 subset( 25.32/4.24 X1582, 25.32/4.24 setminus( 25.32/4.24 X1580, 25.32/4.24 setminus( 25.32/4.24 X1580, 25.32/4.24 X1582))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1584, 25.32/4.24 X1586]: 25.32/4.24 (in( 25.32/4.24 X1586, 25.32/4.24 powerset( 25.32/4.24 X1584)) => 25.32/4.24 subset( 25.32/4.24 setminus( 25.32/4.24 X1584, 25.32/4.24 setminus( 25.32/4.24 X1584, 25.32/4.24 X1586)), 25.32/4.24 X1586))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1588, 25.32/4.24 X1590]: 25.32/4.24 (in( 25.32/4.24 X1590, 25.32/4.24 powerset( 25.32/4.24 X1588)) => 25.32/4.24 (X1590 = 25.32/4.24 setminus( 25.32/4.24 X1588, 25.32/4.24 setminus( 25.32/4.24 X1588, 25.32/4.24 X1590))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1592, 25.32/4.24 X1594]: 25.32/4.24 (in( 25.32/4.24 X1594, 25.32/4.24 powerset( 25.32/4.24 X1592)) => 25.32/4.24 (![X1596]: 25.32/4.24 (in( 25.32/4.24 X1596, 25.32/4.24 powerset( 25.32/4.24 X1592)) => 25.32/4.24 (![X1598]: 25.32/4.24 (in( 25.32/4.24 X1598, 25.32/4.24 X1592) => 25.32/4.24 (in( 25.32/4.24 X1598, 25.32/4.24 setminus( 25.32/4.24 X1592, 25.32/4.24 X1594)) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X1598, 25.32/4.24 binintersect( 25.32/4.24 X1594, 25.32/4.24 X1596)))))))))) => 25.32/4.24 ( 25.32/4.24 ![X1600, 25.32/4.24 X1602]: 25.32/4.24 (in( 25.32/4.24 X1602, 25.32/4.24 powerset( 25.32/4.24 X1600)) => 25.32/4.24 (![X1604]: 25.32/4.24 (in( 25.32/4.24 X1604, 25.32/4.24 powerset( 25.32/4.24 X1600)) => 25.32/4.24 (![X1606]: 25.32/4.24 (in( 25.32/4.24 X1606, 25.32/4.24 X1600) => 25.32/4.24 (in( 25.32/4.24 X1606, 25.32/4.24 setminus( 25.32/4.24 X1600, 25.32/4.24 X1602)) => 25.32/4.24 in( 25.32/4.24 X1606, 25.32/4.24 setminus( 25.32/4.24 X1600, 25.32/4.24 binintersect( 25.32/4.24 X1602, 25.32/4.24 X1604)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 25.32/4.24 tff(zf_stmt_1, type, zip_tseitin_5 : ($i * ($i > $o)) > $o). 25.32/4.24 tff(zf_stmt_2, axiom, 25.32/4.24 (zip_tseitin_5(X422,X414) <=> 25.32/4.24 ((![X424]: zip_tseitin_4(X424,X422,X414)) & X414(X422)))). 25.32/4.24 tff(zf_stmt_3, type, zip_tseitin_4 : ($i * $i * ($i > $o)) > $o). 25.32/4.24 tff(zf_stmt_4, axiom, 25.32/4.24 (zip_tseitin_4(X424,X422,X414) <=> (X414(X424) => (X422 = X424)))). 25.32/4.24 tff(zf_stmt_5, type, zip_tseitin_3 : ($i * $i * $i * ($i * $i) > $o) > $o). 25.32/4.24 tff(zf_stmt_6, axiom, 25.32/4.24 (zip_tseitin_3(X52,X50,X40,X38) <=> (X38(X52,X50) & in(X52,X40)))). 25.32/4.24 tff(zf_stmt_7, type, zip_tseitin_2 : ($i * $i * $i) > $o). 25.32/4.24 tff(zf_stmt_8, axiom, 25.32/4.24 (zip_tseitin_2(X28,X26,X24) <=> (in(X28,X24) & in(X26,X28)))). 25.32/4.24 tff(zf_stmt_9, type, zip_tseitin_1 : ($i * $i * $i) > $o). 25.32/4.24 tff(zf_stmt_10, axiom, 25.32/4.24 (zip_tseitin_1(X22,X20,X18) <=> (in(X22,X20) => in(X22,X18)))). 25.32/4.24 tff(zf_stmt_11, type, zip_tseitin_0 : ($i * $i * $i) > $o). 25.32/4.24 tff(zf_stmt_12, axiom, 25.32/4.24 (zip_tseitin_0(X16,X14,X12) <=> ((X16 = X12) | in(X16,X14)))). 25.32/4.24 tff(zf_stmt_13, conjecture, 25.32/4.24 ((![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))) => 25.32/4.24 ((![X10]: (~in(X10,emptyset))) => 25.32/4.24 ((![X12,X14,X16]: 25.32/4.24 (in(X16,setadjoin(X12,X14)) <=> zip_tseitin_0(X16,X14,X12))) => 25.32/4.24 ((![X18,X20]: 25.32/4.24 (in(X20,powerset(X18)) <=> (![X22]: zip_tseitin_1(X22,X20,X18)))) => 25.32/4.24 ((![X24,X26]: 25.32/4.24 (in(X26,setunion(X24)) <=> (?[X28]: zip_tseitin_2(X28,X26,X24)))) => 25.32/4.24 (in(emptyset,omega) => 25.32/4.24 ((![X30]: (in(X30,omega) => in(setadjoin(X30,X30),omega))) => 25.32/4.24 ((![X32]: 25.32/4.24 ((in(emptyset,X32) & 25.32/4.24 (![X34]: 25.32/4.24 ((in(X34,omega) & in(X34,X32)) => 25.32/4.24 in(setadjoin(X34,X34),X32)))) => 25.32/4.24 (![X36]: (in(X36,omega) => in(X36,X32))))) => 25.32/4.24 ((![X38:(($i * $i) > $o),X40]: 25.32/4.24 ((![X42]: 25.32/4.24 (in(X42,X40) => 25.32/4.24 (?[X44]: 25.32/4.24 ((![X46]: (X38(X42,X46) => (X44 = X46))) & X38(X42,X44))))) => 25.32/4.24 (?[X48]: 25.32/4.24 (![X50]: 25.32/4.24 (in(X50,X48) <=> 25.32/4.24 (?[X52]: zip_tseitin_3(X52,X50,X40,X38))))))) => 25.32/4.24 ((![X54]: 25.32/4.24 ((?[X56]: in(X56,X54)) => 25.32/4.24 (?[X58]: 25.32/4.24 ((~(?[X60]: (in(X60,X54) & in(X60,X58)))) & in(X58,X54))))) => 25.32/4.24 ((![X62]: 25.32/4.24 (?[X64]: 25.32/4.24 ((![X66]: 25.32/4.24 (((![X68]: (in(X68,X66) => in(X68,X62))) & 25.32/4.24 (?[X70]: in(X70,X66))) => 25.32/4.24 (?[X72,X74]: 25.32/4.24 ((![X76]: 25.32/4.24 (in(X76,X64) => 25.32/4.24 ((![X78]: (in(X78,X76) => in(X78,X72))) | 25.32/4.24 in(X74,X76)))) & 25.32/4.24 (~(?[X80]: (in(X80,X66) & in(X80,X72)))) & 25.32/4.24 in(X74,X66) & in(X72,X64))))) & 25.32/4.24 (![X82,X84]: 25.32/4.24 ((in(X82,X64) & in(X84,X64)) => 25.32/4.24 ((![X86]: (in(X86,X82) => in(X86,X84))) | 25.32/4.24 (![X88]: (in(X88,X84) => in(X88,X82)))))) & 25.32/4.24 (![X90,X92]: 25.32/4.24 ((in(X90,X62) & in(X92,X62)) => 25.32/4.24 ((![X94]: 25.32/4.24 (in(X94,X64) => (in(X90,X94) <=> in(X92,X94)))) => 25.32/4.24 (X90 = X92)))) & 25.32/4.24 (![X96]: 25.32/4.24 (in(X96,X64) => (![X98]: (in(X98,X96) => in(X98,X62)))))))) => 25.32/4.24 ((![X100:(($i > $o))]: 25.32/4.24 ((?[X102]: 25.32/4.24 ((![X104]: (X100(X104) => (X102 = X104))) & X100(X102))) => 25.32/4.24 X100(descr(^[V_1]: X100(V_1))))) => 25.32/4.24 ((![X106,X108:(($i > $o)),X110]: 25.32/4.24 (in(X110,X106) => 25.32/4.24 (X108(X110) => in(X110,dsetconstr(X106,^[V_2]: X108(V_2)))))) => 25.32/4.24 ((![X112,X114:(($i > $o)),X116]: 25.32/4.24 (in(X116,dsetconstr(X112,^[V_3]: X114(V_3))) => 25.32/4.24 in(X116,X112))) => 25.32/4.24 ((![X118,X120:(($i > $o)),X122]: 25.32/4.24 (in(X122,dsetconstr(X118,^[V_4]: X120(V_4))) => 25.32/4.24 X120(X122))) => 25.32/4.24 ((![X124:(($i > $o))]: 25.32/4.24 ((?[X126]: 25.32/4.24 ((![X128]: (X124(X128) => (X126 = X128))) & 25.32/4.24 X124(X126))) => 25.32/4.24 (?[X130]: 25.32/4.24 ((![X132]: (X124(X132) => (X130 = X132))) & 25.32/4.24 X124(X130))))) => 25.32/4.24 ((![X134:$o,X136]: (in(X136,prop2set(X134)) => X134)) => 25.32/4.24 ((![X138]: (in(X138,emptyset) => (![X140:$o]: X140))) => 25.32/4.24 ((![X142]: (~in(X142,emptyset))) => 25.32/4.24 ((![X144]: (~in(X144,emptyset))) => 25.32/4.24 ((![X146:(($i > $o))]: 25.32/4.24 ((?[X148]: 25.32/4.24 ((![X150]: (X146(X150) => (X148 = X150))) & 25.32/4.24 X146(X148))) => 25.32/4.24 (?[X152]: X146(X152)))) => 25.32/4.24 ((![X154,X156]: 25.32/4.24 ((![X158]: (in(X158,X154) => in(X158,X156))) => 25.32/4.24 ((![X160]: (in(X160,X156) => in(X160,X154))) => 25.32/4.24 (X154 = X156)))) => 25.32/4.24 ((![X162]: 25.32/4.24 ((![X164]: (~in(X164,X162))) => (X162 = emptyset))) => 25.32/4.24 ((![X166]: 25.32/4.24 ((![X168]: (~in(X168,X166))) => 25.32/4.24 (X166 = emptyset))) => 25.32/4.24 ((![X170,X172:(($i > $o)),X174]: 25.32/4.24 (in(X174,X170) => 25.32/4.24 (in(X174,dsetconstr(X170,^[V_5]: X172(V_5))) <=> 25.32/4.24 X172(X174)))) => 25.32/4.24 ((![X176]: 25.32/4.24 ((X176 != emptyset) => 25.32/4.24 (?[X178]: in(X178,X176)))) => 25.32/4.24 ((![X180,X182:(($i > $o)),X184]: 25.32/4.24 (in(X184,X180) => 25.32/4.24 (X182(X184) => 25.32/4.24 (dsetconstr(X180,^[V_6]: X182(V_6)) != 25.32/4.24 emptyset)))) => 25.32/4.24 ((![X186]: 25.32/4.24 ((?[X188]: in(X188,X186)) => 25.32/4.24 (X186 != emptyset))) => 25.32/4.24 ((![X190,X192]: in(X190,setadjoin(X190,X192))) => 25.32/4.24 (in(emptyset,setadjoin(emptyset,emptyset)) => 25.32/4.24 ((![X194,X196,X198]: 25.32/4.24 (in(X198,X196) => 25.32/4.24 in(X198,setadjoin(X194,X196)))) => 25.32/4.24 ((![X200,X202,X204]: 25.32/4.24 (in(X204,setadjoin(X200,X202)) => 25.32/4.24 (![X206:$o]: 25.32/4.24 (((X204 = X200) => X206) => 25.32/4.24 ((in(X204,X202) => X206) => X206))))) => 25.32/4.24 ((![X208,X210,X212]: 25.32/4.24 (in(X212,setadjoin(X208,X210)) => 25.32/4.24 ((X212 = X208) | in(X212,X210)))) => 25.32/4.24 ((![X214]: 25.32/4.24 (dsetconstr(X214,^[V_7]: $true) = X214)) => 25.32/4.24 ((![X216,X218]: 25.32/4.24 ((![X220]: 25.32/4.24 (in(X220,X218) => in(X220,X216))) => 25.32/4.24 in(X218,powerset(X216)))) => 25.32/4.24 ((![X222]: in(emptyset,powerset(X222))) => 25.32/4.24 ((![X224]: in(emptyset,powerset(X224))) => 25.32/4.24 ((![X226,X228,X230]: 25.32/4.24 (in(X228,powerset(X226)) => 25.32/4.24 (in(X230,X228) => in(X230,X226)))) => 25.32/4.24 ((![X232,X234,X236]: 25.32/4.24 (in(X234,X236) => 25.32/4.24 (in(X236,X232) => 25.32/4.24 in(X234,setunion(X232))))) => 25.32/4.24 ((![X238,X240]: 25.32/4.24 (in(X240,setunion(X238)) => 25.32/4.24 (![X242:$o]: 25.32/4.24 ((![X244]: 25.32/4.24 (in(X240,X244) => 25.32/4.24 (in(X244,X238) => X242))) => 25.32/4.24 X242)))) => 25.32/4.24 ((![X246,X248]: 25.32/4.24 (in(X248,X246) => 25.32/4.24 in(X248, 25.32/4.24 powerset(setunion(X246))))) => 25.32/4.24 ((![X250:(($i > $o))]: 25.32/4.24 ((?[X252]: 25.32/4.24 ((![X254]: 25.32/4.24 (X250(X254) => 25.32/4.24 (X252 = X254))) & 25.32/4.24 X250(X252))) => 25.32/4.24 (?[X256]: 25.32/4.24 (![X258]: 25.32/4.24 (X250(X258) <=> 25.32/4.24 (X258 = X256)))))) => 25.32/4.24 ((![X260]: 25.32/4.24 ((X260 != emptyset) => 25.32/4.24 (?[X262]: in(X262,X260)))) => 25.32/4.24 ((![X264,X266]: 25.32/4.24 (in(X264, 25.32/4.24 setadjoin(X266,emptyset)) => 25.32/4.24 (X264 = X266))) => 25.32/4.24 ((![X268,X270]: 25.32/4.24 ((X268 != X270) => 25.32/4.24 (~ 25.32/4.24 in(X270, 25.32/4.24 setadjoin(X268, 25.32/4.24 emptyset))))) => 25.32/4.24 ((![X272,X274]: 25.32/4.24 ((X272 = X274) => 25.32/4.24 in(X272, 25.32/4.24 setadjoin(X274, 25.32/4.24 emptyset)))) => 25.32/4.24 ((![X276,X278]: 25.32/4.24 (in(X276, 25.32/4.24 setadjoin(X278, 25.32/4.24 emptyset)) => 25.32/4.24 in(X278, 25.32/4.24 setadjoin(X276, 25.32/4.24 emptyset)))) => 25.32/4.24 ((![X280,X282,X284]: 25.32/4.24 (in(X284, 25.32/4.24 setadjoin(X280, 25.32/4.24 setadjoin( 25.32/4.24 X282, 25.32/4.24 emptyset))) => 25.32/4.24 ((X284 = X280) | 25.32/4.24 (X284 = X282)))) => 25.32/4.24 ((![X286,X288]: 25.32/4.24 in(X286, 25.32/4.24 setadjoin(X286, 25.32/4.24 setadjoin( 25.32/4.24 X288, 25.32/4.24 emptyset)))) => 25.32/4.24 ((![X290,X292]: 25.32/4.24 in(X292, 25.32/4.24 setadjoin(X290, 25.32/4.24 setadjoin( 25.32/4.24 X292, 25.32/4.24 emptyset)))) => 25.32/4.24 ((![X294,X296:(($i > $o))]: 25.32/4.24 ((?[X298]: 25.32/4.24 (X296(X298) & 25.32/4.24 in(X298,X294))) => 25.32/4.24 (dsetconstr( 25.32/4.24 X294, 25.32/4.24 ^[V_8]: X296(V_8)) != 25.32/4.24 emptyset))) => 25.32/4.24 ((![X300:(($i > $o)), 25.32/4.24 X302]: 25.32/4.24 (in(X302,emptyset) => 25.32/4.24 X300(X302))) => 25.32/4.24 ((![X304, 25.32/4.24 X306:(($i > $o))]: 25.32/4.24 ((~ 25.32/4.24 (![X308]: 25.32/4.24 (in(X308,X304) => 25.32/4.24 X306(X308)))) => 25.32/4.24 (?[X310]: 25.32/4.24 ((~X306(X310)) & 25.32/4.24 in(X310,X304))))) => 25.32/4.24 ((![X312, 25.32/4.24 X314:(($i > $o))]: 25.32/4.24 ((![X316]: 25.32/4.24 (in(X316,X312) => 25.32/4.24 (~X314(X316)))) => 25.32/4.24 (~ 25.32/4.24 (?[X318]: 25.32/4.24 (X314(X318) & 25.32/4.24 in( 25.32/4.24 X318,X312)))))) => 25.32/4.24 ((![X320, 25.32/4.24 X322:(($i > $o))]: 25.32/4.24 ((~ 25.32/4.24 (?[X324]: 25.32/4.24 (X322(X324) & 25.32/4.24 in( 25.32/4.24 X324,X320)))) => 25.32/4.24 (![X326]: 25.32/4.24 (in(X326,X320) => 25.32/4.24 (~X322(X326)))))) => 25.32/4.24 ((![X328, 25.32/4.24 X330:(($i > $o))]: 25.32/4.24 ((?[X332]: 25.32/4.24 ((~ 25.32/4.24 X330( 25.32/4.24 X332)) & 25.32/4.24 in( 25.32/4.24 X332,X328))) => 25.32/4.24 (~ 25.32/4.24 (![X334]: 25.32/4.24 (in( 25.32/4.24 X334,X328) => 25.32/4.24 X330( 25.32/4.24 X334)))))) => 25.32/4.24 ((![X336:$o]: 25.32/4.24 (X336 => 25.32/4.24 in(emptyset, 25.32/4.24 prop2set( 25.32/4.24 X336)))) => 25.32/4.24 ((![X338:$o]: 25.32/4.24 (X338 => 25.32/4.24 set2prop( 25.32/4.24 prop2set( 25.32/4.24 X338)))) => 25.32/4.24 ((![X340, 25.32/4.24 X342:( 25.32/4.24 ($i > $o))]: 25.32/4.24 ((~ 25.32/4.24 (?[X344]: 25.32/4.24 (X342( 25.32/4.24 X344) & 25.32/4.24 in( 25.32/4.24 X344,X340)))) => 25.32/4.24 (![X346]: 25.32/4.24 ( 25.32/4.24 in( 25.32/4.24 X346,X340) => 25.32/4.24 ( 25.32/4.24 ~ 25.32/4.24 X342( 25.32/4.24 X346)))))) => 25.32/4.24 ((![X348, 25.32/4.24 X350:( 25.32/4.24 ($i > $o))]: 25.32/4.24 ((~ 25.32/4.24 ( 25.32/4.24 ![X352]: 25.32/4.24 (in( 25.32/4.24 X352,X348) => 25.32/4.24 X350( 25.32/4.24 X352)))) => 25.32/4.24 (?[X354]: 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 X350( 25.32/4.24 X354)) & 25.32/4.24 in( 25.32/4.24 X354,X348))))) => 25.32/4.24 ((![X356:( 25.32/4.24 ($i > $o))]: 25.32/4.24 ((?[X358]: 25.32/4.24 (( 25.32/4.24 ![X360]: 25.32/4.24 (X356( 25.32/4.24 X360) => 25.32/4.24 (X358 = 25.32/4.24 X360))) & 25.32/4.24 X356( 25.32/4.24 X358))) => 25.32/4.24 (?[X362]: 25.32/4.24 (( 25.32/4.24 ![X364]: 25.32/4.24 (X356( 25.32/4.24 X364) => 25.32/4.24 (X362 = 25.32/4.24 X364))) & 25.32/4.24 X356( 25.32/4.24 X362))))) => 25.32/4.24 ((![X366:( 25.32/4.24 ($i > $o))]: 25.32/4.24 (( 25.32/4.24 ?[X368]: 25.32/4.24 X366( 25.32/4.24 X368)) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X370, 25.32/4.24 X372]: 25.32/4.24 (X366( 25.32/4.24 X370) => 25.32/4.24 (X366( 25.32/4.24 X372) => 25.32/4.24 (X370 = 25.32/4.24 X372)))) => 25.32/4.24 ( 25.32/4.24 ?[X374]: 25.32/4.24 (( 25.32/4.24 ![X376]: 25.32/4.24 (X366( 25.32/4.24 X376) => 25.32/4.24 (X374 = 25.32/4.24 X376))) & 25.32/4.24 X366( 25.32/4.24 X374)))))) => 25.32/4.24 ((![X378:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ?[X380]: 25.32/4.24 (![X382]: 25.32/4.24 (X378( 25.32/4.24 X382) <=> 25.32/4.24 (X382 = 25.32/4.24 X380)))) => 25.32/4.24 ( 25.32/4.24 ?[X384]: 25.32/4.24 (( 25.32/4.24 ![X386]: 25.32/4.24 (X378( 25.32/4.24 X386) => 25.32/4.24 (X384 = 25.32/4.24 X386))) & 25.32/4.24 X378( 25.32/4.24 X384))))) => 25.32/4.24 ((![X388, 25.32/4.24 X390]: 25.32/4.24 (( 25.32/4.24 X388 = 25.32/4.24 X390) => 25.32/4.24 (![X392, 25.32/4.24 X394]: 25.32/4.24 (( 25.32/4.24 X392 = 25.32/4.24 X394) => 25.32/4.24 (in( 25.32/4.24 X392,X388) => 25.32/4.24 in( 25.32/4.24 X394,X390)))))) => 25.32/4.24 ((![X396, 25.32/4.24 X398]: 25.32/4.24 (( 25.32/4.24 X396 = 25.32/4.24 X398) => 25.32/4.24 (![X400, 25.32/4.24 X402]: 25.32/4.24 (( 25.32/4.24 X400 = 25.32/4.24 X402) => 25.32/4.24 (in( 25.32/4.24 X400,X396) <=> 25.32/4.24 in( 25.32/4.24 X402,X398)))))) => 25.32/4.24 (( 25.32/4.24 ![X404:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 (( 25.32/4.24 ?[X406]: 25.32/4.24 (( 25.32/4.24 ![X408]: 25.32/4.24 (X404( 25.32/4.24 X408) => 25.32/4.24 (X406 = 25.32/4.24 X408))) & 25.32/4.24 X404( 25.32/4.24 X406))) => 25.32/4.24 (![X410, 25.32/4.24 X412]: 25.32/4.24 (X404( 25.32/4.24 X410) => 25.32/4.24 (X404( 25.32/4.24 X412) => 25.32/4.24 (X410 = 25.32/4.24 X412)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X414:( 25.32/4.24 ( 25.32/4.24 $i > $o)), 25.32/4.24 X416:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 (( 25.32/4.24 ![X418, 25.32/4.24 X420]: 25.32/4.24 (( 25.32/4.24 X418 = 25.32/4.24 X420) => 25.32/4.24 (X414( 25.32/4.24 X418) <=> 25.32/4.24 X416( 25.32/4.24 X420)))) => 25.32/4.24 (( 25.32/4.24 ?[X422]: 25.32/4.24 zip_tseitin_5( 25.32/4.24 X422,X414)) <=> 25.32/4.24 (?[X426]: 25.32/4.24 zip_tseitin_5( 25.32/4.24 X426,X416))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 emptyset = 25.32/4.24 emptyset) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X430, 25.32/4.24 X432]: 25.32/4.24 (( 25.32/4.24 X430 = 25.32/4.24 X432) => 25.32/4.24 (![X434, 25.32/4.24 X436]: 25.32/4.24 (( 25.32/4.24 X434 = 25.32/4.24 X436) => 25.32/4.24 (setadjoin( 25.32/4.24 X430,X434) = 25.32/4.24 setadjoin( 25.32/4.24 X432,X436)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X438, 25.32/4.24 X440]: 25.32/4.24 (( 25.32/4.24 X438 = 25.32/4.24 X440) => 25.32/4.24 (powerset( 25.32/4.24 X438) = 25.32/4.24 powerset( 25.32/4.24 X440)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X442, 25.32/4.24 X444]: 25.32/4.24 (( 25.32/4.24 X442 = 25.32/4.24 X444) => 25.32/4.24 (setunion( 25.32/4.24 X442) = 25.32/4.24 setunion( 25.32/4.24 X444)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 omega = 25.32/4.24 omega) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X446:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 (( 25.32/4.24 ?[X448]: 25.32/4.24 (( 25.32/4.24 ![X450]: 25.32/4.24 (X446( 25.32/4.24 X450) => 25.32/4.24 (X448 = 25.32/4.24 X450))) & 25.32/4.24 X446( 25.32/4.24 X448))) => 25.32/4.24 (![X452, 25.32/4.24 X454]: 25.32/4.24 (X446( 25.32/4.24 X452) => 25.32/4.24 (X446( 25.32/4.24 X454) => 25.32/4.24 (X452 = 25.32/4.24 X454)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X456:( 25.32/4.24 ( 25.32/4.24 $i > $o)), 25.32/4.24 X458:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 (( 25.32/4.24 ![X460, 25.32/4.24 X462]: 25.32/4.24 (( 25.32/4.24 X460 = 25.32/4.24 X462) => 25.32/4.24 (X456( 25.32/4.24 X460) <=> 25.32/4.24 X458( 25.32/4.24 X462)))) => 25.32/4.24 (( 25.32/4.24 ?[X464]: 25.32/4.24 (( 25.32/4.24 ![X466]: 25.32/4.24 (X456( 25.32/4.24 X466) => 25.32/4.24 (X464 = 25.32/4.24 X466))) & 25.32/4.24 X456( 25.32/4.24 X464))) => 25.32/4.24 (( 25.32/4.24 ?[X468]: 25.32/4.24 (( 25.32/4.24 ![X470]: 25.32/4.24 (X458( 25.32/4.24 X470) => 25.32/4.24 (X468 = 25.32/4.24 X470))) & 25.32/4.24 X458( 25.32/4.24 X468))) => 25.32/4.24 (descr( 25.32/4.24 ^[V_9]: 25.32/4.24 X456(V_9)) = 25.32/4.24 descr( 25.32/4.24 ^[V_10]: 25.32/4.24 X458( 25.32/4.24 V_10))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X472, 25.32/4.24 X474]: 25.32/4.24 (( 25.32/4.24 X472 = 25.32/4.24 X474) => 25.32/4.24 (![X476:( 25.32/4.24 ( 25.32/4.24 $i > $o)), 25.32/4.24 X478:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 (( 25.32/4.24 ![X480]: 25.32/4.24 (in( 25.32/4.24 X480,X472) => 25.32/4.24 (![X482]: 25.32/4.24 (in( 25.32/4.24 X482,X474) => 25.32/4.24 (( 25.32/4.24 X480 = 25.32/4.24 X482) => 25.32/4.24 (X476( 25.32/4.24 X480) <=> 25.32/4.24 X478( 25.32/4.24 X482))))))) => 25.32/4.24 (dsetconstr( 25.32/4.24 X472, 25.32/4.24 ^[V_11]: 25.32/4.24 X476( 25.32/4.24 V_11)) = 25.32/4.24 dsetconstr( 25.32/4.24 X474, 25.32/4.24 ^[V_12]: 25.32/4.24 X478( 25.32/4.24 V_12))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X484, 25.32/4.24 X486]: 25.32/4.24 (( 25.32/4.24 ![X488]: 25.32/4.24 (in( 25.32/4.24 X488,X484) => 25.32/4.24 in( 25.32/4.24 X488,X486))) => 25.32/4.24 subset( 25.32/4.24 X484,X486))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X490, 25.32/4.24 X492]: 25.32/4.24 (( 25.32/4.24 X490 = 25.32/4.24 X492) => 25.32/4.24 subset( 25.32/4.24 X492,X490))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X494, 25.32/4.24 X496]: 25.32/4.24 (( 25.32/4.24 X494 = 25.32/4.24 X496) => 25.32/4.24 subset( 25.32/4.24 X494,X496))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X498, 25.32/4.24 X500]: 25.32/4.24 (( 25.32/4.24 ![X502]: 25.32/4.24 (in( 25.32/4.24 X502,X498) => 25.32/4.24 in( 25.32/4.24 X502,X500))) => 25.32/4.24 subset( 25.32/4.24 X498,X500))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X504]: 25.32/4.24 subset( 25.32/4.24 emptyset, 25.32/4.24 X504)) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X506, 25.32/4.24 X508,X510]: 25.32/4.24 (subset( 25.32/4.24 X506,X508) => 25.32/4.24 (in( 25.32/4.24 X510,X506) => 25.32/4.24 in( 25.32/4.24 X510,X508)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X512, 25.32/4.24 X514,X516]: 25.32/4.24 (subset( 25.32/4.24 X512,X514) => 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X516,X514)) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X516,X512))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X518, 25.32/4.24 X520,X522]: 25.32/4.24 (in( 25.32/4.24 X522,X518) => 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X522,X520)) => 25.32/4.24 (~ 25.32/4.24 subset( 25.32/4.24 X518,X520))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X524, 25.32/4.24 X526]: 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 subset( 25.32/4.24 X524,X526)) => 25.32/4.24 (X524 != 25.32/4.24 X526))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X528, 25.32/4.24 X530,X532]: 25.32/4.24 (in( 25.32/4.24 X532,X528) => 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X532,X530)) => 25.32/4.24 (X528 != 25.32/4.24 X530)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X534]: 25.32/4.24 subset( 25.32/4.24 X534,X534)) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X536, 25.32/4.24 X538,X540]: 25.32/4.24 (subset( 25.32/4.24 X536,X538) => 25.32/4.24 (subset( 25.32/4.24 X538,X540) => 25.32/4.24 subset( 25.32/4.24 X536,X540)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X542, 25.32/4.24 X544]: 25.32/4.24 subset( 25.32/4.24 X544, 25.32/4.24 setadjoin( 25.32/4.24 X542,X544))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X546, 25.32/4.24 X548,X550]: 25.32/4.24 (subset( 25.32/4.24 X546,X550) => 25.32/4.24 subset( 25.32/4.24 X546, 25.32/4.24 setadjoin( 25.32/4.24 X548,X550)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X552, 25.32/4.24 X554]: 25.32/4.24 (subset( 25.32/4.24 X552,X554) => 25.32/4.24 in( 25.32/4.24 X552, 25.32/4.24 powerset( 25.32/4.24 X554)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X556, 25.32/4.24 X558]: 25.32/4.24 (subset( 25.32/4.24 X556,X558) => 25.32/4.24 (subset( 25.32/4.24 X558,X556) => 25.32/4.24 (X556 = 25.32/4.24 X558)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X560]: 25.32/4.24 (subset( 25.32/4.24 X560, 25.32/4.24 emptyset) => 25.32/4.24 (X560 = 25.32/4.24 emptyset))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X562, 25.32/4.24 X564]: 25.32/4.24 (subset( 25.32/4.24 X564,X562) => 25.32/4.24 in( 25.32/4.24 X564, 25.32/4.24 powerset( 25.32/4.24 X562)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X566, 25.32/4.24 X568]: 25.32/4.24 (in( 25.32/4.24 X568, 25.32/4.24 powerset( 25.32/4.24 X566)) => 25.32/4.24 subset( 25.32/4.24 X568,X566))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X570]: 25.32/4.24 in( 25.32/4.24 X570, 25.32/4.24 powerset( 25.32/4.24 X570))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X572, 25.32/4.24 X574]: 25.32/4.24 (subset( 25.32/4.24 X572,X574) => 25.32/4.24 subset( 25.32/4.24 powerset( 25.32/4.24 X572), 25.32/4.24 powerset( 25.32/4.24 X574)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X576, 25.32/4.24 X578:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 in( 25.32/4.24 dsetconstr( 25.32/4.24 X576, 25.32/4.24 ^[V_13]: 25.32/4.24 X578( 25.32/4.24 V_13)), 25.32/4.24 powerset( 25.32/4.24 X576))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X580, 25.32/4.24 X582:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 subset( 25.32/4.24 dsetconstr( 25.32/4.24 X580, 25.32/4.24 ^[V_14]: 25.32/4.24 X582( 25.32/4.24 V_14)), 25.32/4.24 X580)) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X584, 25.32/4.24 X586,X588]: 25.32/4.24 (in( 25.32/4.24 X588,X584) => 25.32/4.24 in( 25.32/4.24 X588, 25.32/4.24 binunion( 25.32/4.24 X584,X586)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X590, 25.32/4.24 X592]: 25.32/4.24 in( 25.32/4.24 X592, 25.32/4.24 setadjoin( 25.32/4.24 X590, 25.32/4.24 setadjoin( 25.32/4.24 X592, 25.32/4.24 emptyset)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X594, 25.32/4.24 X596,X598]: 25.32/4.24 (in( 25.32/4.24 X598,X596) => 25.32/4.24 in( 25.32/4.24 X598, 25.32/4.24 binunion( 25.32/4.24 X594,X596)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X600, 25.32/4.24 X602, 25.32/4.24 X604, 25.32/4.24 X606:$o]: 25.32/4.24 (in( 25.32/4.24 X604, 25.32/4.24 binunion( 25.32/4.24 X600,X602)) => 25.32/4.24 (( 25.32/4.24 in( 25.32/4.24 X604,X600) => 25.32/4.24 X606) => 25.32/4.24 (( 25.32/4.24 in( 25.32/4.24 X604,X602) => 25.32/4.24 X606) => 25.32/4.24 X606)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X608, 25.32/4.24 X610,X612]: 25.32/4.24 (in( 25.32/4.24 X612, 25.32/4.24 binunion( 25.32/4.24 X608,X610)) => 25.32/4.24 (in( 25.32/4.24 X612,X608) | 25.32/4.24 in( 25.32/4.24 X612,X610)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X614, 25.32/4.24 X616]: 25.32/4.24 subset( 25.32/4.24 X614, 25.32/4.24 binunion( 25.32/4.24 X614,X616))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X618, 25.32/4.24 X620]: 25.32/4.24 subset( 25.32/4.24 X620, 25.32/4.24 binunion( 25.32/4.24 X618,X620))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X622, 25.32/4.24 X624,X626]: 25.32/4.24 (in( 25.32/4.24 X626,X622) => 25.32/4.24 (in( 25.32/4.24 X626,X624) => 25.32/4.24 in( 25.32/4.24 X626, 25.32/4.24 binintersect( 25.32/4.24 X622,X624))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X628, 25.32/4.24 X630,X632]: 25.32/4.24 (subset( 25.32/4.24 X632,X628) => 25.32/4.24 (subset( 25.32/4.24 X632,X630) => 25.32/4.24 subset( 25.32/4.24 X632, 25.32/4.24 binintersect( 25.32/4.24 X628,X630))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X634, 25.32/4.24 X636,X638]: 25.32/4.24 (in( 25.32/4.24 X638, 25.32/4.24 binintersect( 25.32/4.24 X634,X636)) => 25.32/4.24 in( 25.32/4.24 X638,X634))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X640, 25.32/4.24 X642]: 25.32/4.24 subset( 25.32/4.24 binintersect( 25.32/4.24 X640,X642), 25.32/4.24 X640)) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X644, 25.32/4.24 X646]: 25.32/4.24 (subset( 25.32/4.24 X644,X646) => 25.32/4.24 (binintersect( 25.32/4.24 X644,X646) = 25.32/4.24 X644))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X648, 25.32/4.24 X650]: 25.32/4.24 (( 25.32/4.24 binintersect( 25.32/4.24 X648,X650) = 25.32/4.24 X650) => 25.32/4.24 subset( 25.32/4.24 X650,X648))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X652, 25.32/4.24 X654,X656]: 25.32/4.24 (in( 25.32/4.24 X656, 25.32/4.24 binintersect( 25.32/4.24 X652,X654)) => 25.32/4.24 in( 25.32/4.24 X656,X654))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X658, 25.32/4.24 X660]: 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 ( 25.32/4.24 ?[X662]: 25.32/4.24 (in( 25.32/4.24 X662,X660) & 25.32/4.24 in( 25.32/4.24 X662,X658)))) => 25.32/4.24 (binintersect( 25.32/4.24 X658,X660) = 25.32/4.24 emptyset))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X664, 25.32/4.24 X666]: 25.32/4.24 subset( 25.32/4.24 binintersect( 25.32/4.24 X664,X666), 25.32/4.24 X666)) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X668, 25.32/4.24 X670]: 25.32/4.24 (subset( 25.32/4.24 X670,X668) => 25.32/4.24 (binintersect( 25.32/4.24 X668,X670) = 25.32/4.24 X670))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X672, 25.32/4.24 X674]: 25.32/4.24 (( 25.32/4.24 binintersect( 25.32/4.24 X672,X674) = 25.32/4.24 X672) => 25.32/4.24 subset( 25.32/4.24 X672,X674))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X676, 25.32/4.24 X678,X680]: 25.32/4.24 (binintersect( 25.32/4.24 X676, 25.32/4.24 binunion( 25.32/4.24 X678,X680)) = 25.32/4.24 binunion( 25.32/4.24 binintersect( 25.32/4.24 X676,X678), 25.32/4.24 binintersect( 25.32/4.24 X676,X680)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X682, 25.32/4.24 X684,X686]: 25.32/4.24 (in( 25.32/4.24 X686,X682) => 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X686,X684)) => 25.32/4.24 in( 25.32/4.24 X686, 25.32/4.24 setminus( 25.32/4.24 X682,X684))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X688, 25.32/4.24 X690,X692]: 25.32/4.24 (in( 25.32/4.24 X692, 25.32/4.24 setminus( 25.32/4.24 X688,X690)) => 25.32/4.24 in( 25.32/4.24 X692,X688))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X694, 25.32/4.24 X696,X698]: 25.32/4.24 (in( 25.32/4.24 X698, 25.32/4.24 setminus( 25.32/4.24 X694,X696)) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X698,X696)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X700, 25.32/4.24 X702]: 25.32/4.24 (subset( 25.32/4.24 X700,X702) => 25.32/4.24 (setminus( 25.32/4.24 X700,X702) = 25.32/4.24 emptyset))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X704, 25.32/4.24 X706,X708]: 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X708, 25.32/4.24 setminus( 25.32/4.24 X704,X706))) => 25.32/4.24 (in( 25.32/4.24 X708,X704) => 25.32/4.24 in( 25.32/4.24 X708,X706)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X710, 25.32/4.24 X712,X714]: 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X714, 25.32/4.24 setminus( 25.32/4.24 X710,X712))) => 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X714,X712)) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X714,X710))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X716, 25.32/4.24 X718,X720]: 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X720,X716)) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X720, 25.32/4.24 setminus( 25.32/4.24 X716,X718))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X722, 25.32/4.24 X724,X726]: 25.32/4.24 (in( 25.32/4.24 X726,X724) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X726, 25.32/4.24 setminus( 25.32/4.24 X722,X724))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X728, 25.32/4.24 X730]: 25.32/4.24 subset( 25.32/4.24 setminus( 25.32/4.24 X728,X730), 25.32/4.24 X728)) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X732, 25.32/4.24 X734]: 25.32/4.24 (( 25.32/4.24 setminus( 25.32/4.24 X732,X734) = 25.32/4.24 emptyset) => 25.32/4.24 subset( 25.32/4.24 X732,X734))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X736, 25.32/4.24 X738,X740]: 25.32/4.24 (in( 25.32/4.24 X740, 25.32/4.24 symdiff( 25.32/4.24 X736,X738)) => 25.32/4.24 (![X742:$o]: 25.32/4.24 (( 25.32/4.24 in( 25.32/4.24 X740,X736) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X740,X738)) => 25.32/4.24 X742)) => 25.32/4.24 (( 25.32/4.24 ( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X740,X736)) => 25.32/4.24 ( 25.32/4.24 in( 25.32/4.24 X740,X738) => 25.32/4.24 X742)) => 25.32/4.24 X742))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X744, 25.32/4.24 X746,X748]: 25.32/4.24 (in( 25.32/4.24 X748,X744) => 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X748,X746)) => 25.32/4.24 in( 25.32/4.24 X748, 25.32/4.24 symdiff( 25.32/4.24 X744,X746))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X750, 25.32/4.24 X752,X754]: 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X754,X750)) => 25.32/4.24 (in( 25.32/4.24 X754,X752) => 25.32/4.24 in( 25.32/4.24 X754, 25.32/4.24 symdiff( 25.32/4.24 X750,X752))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X756, 25.32/4.24 X758,X760]: 25.32/4.24 (in( 25.32/4.24 X760,X756) => 25.32/4.24 (in( 25.32/4.24 X760,X758) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X760, 25.32/4.24 symdiff( 25.32/4.24 X756,X758)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X762, 25.32/4.24 X764,X766]: 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X766,X762)) => 25.32/4.24 (( 25.32/4.24 ~ 25.32/4.24 in( 25.32/4.24 X766,X764)) => 25.32/4.24 (~ 25.32/4.24 in( 25.32/4.24 X766, 25.32/4.24 symdiff( 25.32/4.24 X762,X764)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X768, 25.32/4.24 X770]: 25.32/4.24 in( 25.32/4.24 X770, 25.32/4.24 setadjoin( 25.32/4.24 X768, 25.32/4.24 setadjoin( 25.32/4.24 X770, 25.32/4.24 emptyset)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X772, 25.32/4.24 X774]: 25.32/4.24 in( 25.32/4.24 X772, 25.32/4.24 setunion( 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X772, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X772, 25.32/4.24 setadjoin( 25.32/4.24 X774, 25.32/4.24 emptyset)), 25.32/4.24 emptyset))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X776, 25.32/4.24 X778]: 25.32/4.24 in( 25.32/4.24 X778, 25.32/4.24 setunion( 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X776, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X776, 25.32/4.24 setadjoin( 25.32/4.24 X778, 25.32/4.24 emptyset)), 25.32/4.24 emptyset))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X780, 25.32/4.24 X782]: 25.32/4.24 iskpair( 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X780, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X780, 25.32/4.24 setadjoin( 25.32/4.24 X782, 25.32/4.24 emptyset)), 25.32/4.24 emptyset)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X784, 25.32/4.24 X786]: 25.32/4.24 iskpair( 25.32/4.24 kpair( 25.32/4.24 X784,X786))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X788, 25.32/4.24 X790]: 25.32/4.24 (in( 25.32/4.24 X790,X788) => 25.32/4.24 subset( 25.32/4.24 setadjoin( 25.32/4.24 X790, 25.32/4.24 emptyset), 25.32/4.24 X788))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X792, 25.32/4.24 X794]: 25.32/4.24 (in( 25.32/4.24 X794,X792) => 25.32/4.24 in( 25.32/4.24 setadjoin( 25.32/4.24 X794, 25.32/4.24 emptyset), 25.32/4.24 powerset( 25.32/4.24 X792)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X796, 25.32/4.24 X798,X800]: 25.32/4.24 (in( 25.32/4.24 X800,X796) => 25.32/4.24 in( 25.32/4.24 setadjoin( 25.32/4.24 X800, 25.32/4.24 emptyset), 25.32/4.24 powerset( 25.32/4.24 binunion( 25.32/4.24 X796,X798))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X802, 25.32/4.24 X804,X806]: 25.32/4.24 (in( 25.32/4.24 X806, 25.32/4.24 setadjoin( 25.32/4.24 X802, 25.32/4.24 setadjoin( 25.32/4.24 X804, 25.32/4.24 emptyset))) => 25.32/4.24 (( 25.32/4.24 X806 = 25.32/4.24 X802) | 25.32/4.24 (X806 = 25.32/4.24 X804)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X808, 25.32/4.24 X810,X812]: 25.32/4.24 (in( 25.32/4.24 X812,X808) => 25.32/4.24 (![X814]: 25.32/4.24 (in( 25.32/4.24 X814,X810) => 25.32/4.24 subset( 25.32/4.24 setadjoin( 25.32/4.24 X812, 25.32/4.24 setadjoin( 25.32/4.24 X814, 25.32/4.24 emptyset)), 25.32/4.24 binunion( 25.32/4.24 X808,X810)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X816, 25.32/4.24 X818,X820]: 25.32/4.24 (in( 25.32/4.24 X820,X816) => 25.32/4.24 (![X822]: 25.32/4.24 (in( 25.32/4.24 X822,X818) => 25.32/4.24 in( 25.32/4.24 setadjoin( 25.32/4.24 X820, 25.32/4.24 setadjoin( 25.32/4.24 X822, 25.32/4.24 emptyset)), 25.32/4.24 powerset( 25.32/4.24 binunion( 25.32/4.24 X816,X818))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X824, 25.32/4.24 X826,X828]: 25.32/4.24 (in( 25.32/4.24 X828,X824) => 25.32/4.24 (![X830]: 25.32/4.24 (in( 25.32/4.24 X830,X826) => 25.32/4.24 subset( 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X828, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X828, 25.32/4.24 setadjoin( 25.32/4.24 X830, 25.32/4.24 emptyset)), 25.32/4.24 emptyset)), 25.32/4.24 powerset( 25.32/4.24 binunion( 25.32/4.24 X824,X826))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X832, 25.32/4.24 X834,X836]: 25.32/4.24 (in( 25.32/4.24 X836,X832) => 25.32/4.24 (![X838]: 25.32/4.24 (in( 25.32/4.24 X838,X834) => 25.32/4.24 in( 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X836, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X836, 25.32/4.24 setadjoin( 25.32/4.24 X838, 25.32/4.24 emptyset)), 25.32/4.24 emptyset)), 25.32/4.24 powerset( 25.32/4.24 powerset( 25.32/4.24 binunion( 25.32/4.24 X832,X834)))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X840, 25.32/4.24 X842,X844]: 25.32/4.24 (in( 25.32/4.24 X844,X840) => 25.32/4.24 (![X846]: 25.32/4.24 (in( 25.32/4.24 X846,X842) => 25.32/4.24 in( 25.32/4.24 kpair( 25.32/4.24 X844,X846), 25.32/4.24 powerset( 25.32/4.24 powerset( 25.32/4.24 binunion( 25.32/4.24 X840,X842)))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X848, 25.32/4.24 X850,X852]: 25.32/4.24 (in( 25.32/4.24 X852,X848) => 25.32/4.24 (![X854]: 25.32/4.24 (in( 25.32/4.24 X854,X850) => 25.32/4.24 in( 25.32/4.24 kpair( 25.32/4.24 X852,X854), 25.32/4.24 cartprod( 25.32/4.24 X848,X850)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X856, 25.32/4.24 X858,X860]: 25.32/4.24 (in( 25.32/4.24 X860, 25.32/4.24 cartprod( 25.32/4.24 X856,X858)) => 25.32/4.24 (?[X862]: 25.32/4.24 (( 25.32/4.24 ?[X864]: 25.32/4.24 (( 25.32/4.24 X860 = 25.32/4.24 kpair( 25.32/4.24 X862,X864)) & 25.32/4.24 in( 25.32/4.24 X864,X858))) & 25.32/4.24 in( 25.32/4.24 X862,X856))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X866, 25.32/4.24 X868,X870]: 25.32/4.24 (in( 25.32/4.24 X870, 25.32/4.24 cartprod( 25.32/4.24 X866,X868)) => 25.32/4.24 iskpair( 25.32/4.24 X870))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X872, 25.32/4.24 X874]: 25.32/4.24 (in( 25.32/4.24 X874, 25.32/4.24 setunion( 25.32/4.24 X872)) => 25.32/4.24 (?[X876]: 25.32/4.24 (in( 25.32/4.24 X874,X876) & 25.32/4.24 in( 25.32/4.24 X876,X872))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X878]: 25.32/4.24 subset( 25.32/4.24 setunion( 25.32/4.24 setadjoin( 25.32/4.24 X878, 25.32/4.24 emptyset)), 25.32/4.24 X878)) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X880]: 25.32/4.24 subset( 25.32/4.24 X880, 25.32/4.24 setunion( 25.32/4.24 setadjoin( 25.32/4.24 X880, 25.32/4.24 emptyset)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X882]: 25.32/4.24 (setunion( 25.32/4.24 setadjoin( 25.32/4.24 X882, 25.32/4.24 emptyset)) = 25.32/4.24 X882)) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X884, 25.32/4.24 X886:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 (( 25.32/4.24 ![X888]: 25.32/4.24 (in( 25.32/4.24 X888,X884) => 25.32/4.24 (![X890]: 25.32/4.24 (in( 25.32/4.24 X890,X884) => 25.32/4.24 (X886( 25.32/4.24 X888) => 25.32/4.24 (X886( 25.32/4.24 X890) => 25.32/4.24 (X888 = 25.32/4.24 X890))))))) => 25.32/4.24 (( 25.32/4.24 ?[X892]: 25.32/4.24 (X886( 25.32/4.24 X892) & 25.32/4.24 in( 25.32/4.24 X892,X884))) => 25.32/4.24 singleton( 25.32/4.24 dsetconstr( 25.32/4.24 X884, 25.32/4.24 ^[V_15]: 25.32/4.24 X886( 25.32/4.24 V_15)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X894, 25.32/4.24 X896:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 (singleton( 25.32/4.24 dsetconstr( 25.32/4.24 X894, 25.32/4.24 ^[V_16]: 25.32/4.24 X896( 25.32/4.24 V_16))) => 25.32/4.24 (?[X898]: 25.32/4.24 (X896( 25.32/4.24 X898) & 25.32/4.24 in( 25.32/4.24 X898,X894))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X900, 25.32/4.24 X902:( 25.32/4.24 ( 25.32/4.24 $i > $o)), 25.32/4.24 X904]: 25.32/4.24 (in( 25.32/4.24 X904,X900) => 25.32/4.24 (X902( 25.32/4.24 X904) => 25.32/4.24 (( 25.32/4.24 ![X906]: 25.32/4.24 (in( 25.32/4.24 X906,X900) => 25.32/4.24 (X902( 25.32/4.24 X906) => 25.32/4.24 (X906 = 25.32/4.24 X904)))) => 25.32/4.24 singleton( 25.32/4.24 dsetconstr( 25.32/4.24 X900, 25.32/4.24 ^[V_17]: 25.32/4.24 X902( 25.32/4.24 V_17))))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X908, 25.32/4.24 X910:( 25.32/4.24 ( 25.32/4.24 $i > $o))]: 25.32/4.24 (( 25.32/4.24 ![X912]: 25.32/4.24 (in( 25.32/4.24 X912,X908) => 25.32/4.24 (![X914]: 25.32/4.24 (in( 25.32/4.24 X914,X908) => 25.32/4.24 (X910( 25.32/4.24 X912) => 25.32/4.24 (X910( 25.32/4.24 X914) => 25.32/4.24 (X912 = 25.32/4.24 X914))))))) => 25.32/4.24 (( 25.32/4.24 ?[X916]: 25.32/4.24 (X910( 25.32/4.24 X916) & 25.32/4.24 in( 25.32/4.24 X916,X908))) => 25.32/4.24 singleton( 25.32/4.24 dsetconstr( 25.32/4.24 X908, 25.32/4.24 ^[V_18]: 25.32/4.24 X910( 25.32/4.24 V_18)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X918, 25.32/4.24 X920]: 25.32/4.24 (( 25.32/4.24 setadjoin( 25.32/4.24 X918, 25.32/4.24 emptyset) = 25.32/4.24 setadjoin( 25.32/4.24 X920, 25.32/4.24 emptyset)) => 25.32/4.24 (X918 = 25.32/4.24 X920))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X922, 25.32/4.24 X924,X926]: 25.32/4.24 (in( 25.32/4.24 setadjoin( 25.32/4.24 X926, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X922, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X922, 25.32/4.24 setadjoin( 25.32/4.24 X924, 25.32/4.24 emptyset)), 25.32/4.24 emptyset))) => 25.32/4.24 (X922 = 25.32/4.24 X926))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X928]: 25.32/4.24 (iskpair( 25.32/4.24 X928) => 25.32/4.24 singleton( 25.32/4.24 dsetconstr( 25.32/4.24 setunion( 25.32/4.24 X928), 25.32/4.24 ^[V_19]: 25.32/4.24 in( 25.32/4.24 setadjoin( 25.32/4.24 V_19, 25.32/4.24 emptyset), 25.32/4.24 X928))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X930]: 25.32/4.24 (singleton( 25.32/4.24 X930) => 25.32/4.24 in( 25.32/4.24 setunion( 25.32/4.24 X930), 25.32/4.24 X930))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X932, 25.32/4.24 X934]: 25.32/4.24 (kfst( 25.32/4.24 kpair( 25.32/4.24 X932,X934)) = 25.32/4.24 X932)) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X936, 25.32/4.24 X938,X940]: 25.32/4.24 (in( 25.32/4.24 X940, 25.32/4.24 cartprod( 25.32/4.24 X936,X938)) => 25.32/4.24 in( 25.32/4.24 kfst( 25.32/4.24 X940), 25.32/4.24 X936))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X942, 25.32/4.24 X944, 25.32/4.24 X946,X948]: 25.32/4.24 (( 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X942, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X942, 25.32/4.24 setadjoin( 25.32/4.24 X944, 25.32/4.24 emptyset)), 25.32/4.24 emptyset)) = 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X946, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X946, 25.32/4.24 setadjoin( 25.32/4.24 X948, 25.32/4.24 emptyset)), 25.32/4.24 emptyset))) => 25.32/4.24 (X942 = 25.32/4.24 X946))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X950, 25.32/4.24 X952, 25.32/4.24 X954,X956]: 25.32/4.24 (( 25.32/4.24 kpair( 25.32/4.24 X950,X952) = 25.32/4.24 kpair( 25.32/4.24 X954,X956)) => 25.32/4.24 (X950 = 25.32/4.24 X954))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X958, 25.32/4.24 X960]: 25.32/4.24 (( 25.32/4.24 X958 = 25.32/4.24 X960) => 25.32/4.24 (setadjoin( 25.32/4.24 X958, 25.32/4.24 setadjoin( 25.32/4.24 X960, 25.32/4.24 emptyset)) = 25.32/4.24 setadjoin( 25.32/4.24 X958, 25.32/4.24 emptyset)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X962, 25.32/4.24 X964]: 25.32/4.24 (( 25.32/4.24 X962 = 25.32/4.24 X964) => 25.32/4.24 (setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X962, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X962, 25.32/4.24 setadjoin( 25.32/4.24 X964, 25.32/4.24 emptyset)), 25.32/4.24 emptyset)) = 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X962, 25.32/4.24 emptyset), 25.32/4.24 emptyset)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X966, 25.32/4.24 X968, 25.32/4.24 X970,X972]: 25.32/4.24 (( 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X966, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X966, 25.32/4.24 setadjoin( 25.32/4.24 X968, 25.32/4.24 emptyset)), 25.32/4.24 emptyset)) = 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X970, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X970, 25.32/4.24 setadjoin( 25.32/4.24 X972, 25.32/4.24 emptyset)), 25.32/4.24 emptyset))) => 25.32/4.24 (( 25.32/4.24 X970 = 25.32/4.24 X972) => 25.32/4.24 (X968 = 25.32/4.24 X972)))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X974, 25.32/4.24 X976,X978]: 25.32/4.24 (( 25.32/4.24 setadjoin( 25.32/4.24 X974, 25.32/4.24 setadjoin( 25.32/4.24 X976, 25.32/4.24 emptyset)) = 25.32/4.24 setadjoin( 25.32/4.24 X978, 25.32/4.24 emptyset)) => 25.32/4.24 (X974 = 25.32/4.24 X976))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X980, 25.32/4.24 X982, 25.32/4.24 X984,X986]: 25.32/4.24 (( 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X980, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X980, 25.32/4.24 setadjoin( 25.32/4.24 X982, 25.32/4.24 emptyset)), 25.32/4.24 emptyset)) = 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X984, 25.32/4.24 emptyset), 25.32/4.24 setadjoin( 25.32/4.24 setadjoin( 25.32/4.24 X984, 25.32/4.24 setadjoin( 25.32/4.24 X986, 25.32/4.24 emptyset)), 25.32/4.24 emptyset))) => 25.32/4.24 (X982 = 25.32/4.24 X986))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X988, 25.32/4.24 X990, 25.32/4.24 X992,X994]: 25.32/4.24 (( 25.32/4.24 kpair( 25.32/4.24 X988,X990) = 25.32/4.24 kpair( 25.32/4.24 X992,X994)) => 25.32/4.24 (X990 = 25.32/4.24 X994))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X996]: 25.32/4.24 (iskpair( 25.32/4.24 X996) => 25.32/4.24 singleton( 25.32/4.24 dsetconstr( 25.32/4.24 setunion( 25.32/4.24 X996), 25.32/4.24 ^[V_20]: 25.32/4.24 (X996 = 25.32/4.24 kpair( 25.32/4.24 kfst( 25.32/4.24 X996), 25.32/4.24 V_20)))))) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X998, 25.32/4.24 X1000]: 25.32/4.24 (ksnd( 25.32/4.24 kpair( 25.32/4.24 X998, 25.32/4.24 X1000)) = 25.32/4.24 X1000)) => 25.32/4.24 ( 25.32/4.24 ( 25.32/4.24 ![X1002]: 25.32/4.24 (iskpair( 25.32/4.24 X1002) => 25.32/4.24 (kpair( 25.32/4.24 kfst( 25.32/4.24 X1002), 25.32/4.24 ksnd( 25.32/4.25 X1002)) = 25.32/4.25 X1002))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1004, 25.32/4.25 X1006, 25.32/4.25 X1008]: 25.32/4.25 (in( 25.32/4.25 X1008, 25.32/4.25 cartprod( 25.32/4.25 X1004, 25.32/4.25 X1006)) => 25.32/4.25 in( 25.32/4.25 ksnd( 25.32/4.25 X1008), 25.32/4.25 X1006))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1010, 25.32/4.25 X1012, 25.32/4.25 X1014, 25.32/4.25 X1016]: 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1014, 25.32/4.25 X1016), 25.32/4.25 cartprod( 25.32/4.25 X1010, 25.32/4.25 X1012)) => 25.32/4.25 in( 25.32/4.25 X1014, 25.32/4.25 X1010))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1018, 25.32/4.25 X1020, 25.32/4.25 X1022, 25.32/4.25 X1024]: 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1022, 25.32/4.25 X1024), 25.32/4.25 cartprod( 25.32/4.25 X1018, 25.32/4.25 X1020)) => 25.32/4.25 in( 25.32/4.25 X1024, 25.32/4.25 X1020))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1026, 25.32/4.25 X1028, 25.32/4.25 X1030]: 25.32/4.25 (in( 25.32/4.25 X1030, 25.32/4.25 X1026) => 25.32/4.25 (![X1032]: 25.32/4.25 (in( 25.32/4.25 X1032, 25.32/4.25 X1028) => 25.32/4.25 (kpair( 25.32/4.25 X1030, 25.32/4.25 X1032) = 25.32/4.25 kpair( 25.32/4.25 X1030, 25.32/4.25 X1032)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1034, 25.32/4.25 X1036, 25.32/4.25 X1038]: 25.32/4.25 (in( 25.32/4.25 X1038, 25.32/4.25 X1034) => 25.32/4.25 (![X1040]: 25.32/4.25 (in( 25.32/4.25 X1040, 25.32/4.25 X1036) => 25.32/4.25 (kfst( 25.32/4.25 kpair( 25.32/4.25 X1038, 25.32/4.25 X1040)) = 25.32/4.25 X1038))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1042, 25.32/4.25 X1044, 25.32/4.25 X1046]: 25.32/4.25 (in( 25.32/4.25 X1046, 25.32/4.25 X1042) => 25.32/4.25 (![X1048]: 25.32/4.25 (in( 25.32/4.25 X1048, 25.32/4.25 X1044) => 25.32/4.25 (ksnd( 25.32/4.25 kpair( 25.32/4.25 X1046, 25.32/4.25 X1048)) = 25.32/4.25 X1048))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1050, 25.32/4.25 X1052, 25.32/4.25 X1054]: 25.32/4.25 (in( 25.32/4.25 X1054, 25.32/4.25 cartprod( 25.32/4.25 X1050, 25.32/4.25 X1052)) => 25.32/4.25 (kpair( 25.32/4.25 kfst( 25.32/4.25 X1054), 25.32/4.25 ksnd( 25.32/4.25 X1054)) = 25.32/4.25 X1054))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1056, 25.32/4.25 X1058, 25.32/4.25 X1060:( 25.32/4.25 ($i * $i) > 25.32/4.25 $o),X1062]: 25.32/4.25 (in( 25.32/4.25 X1062, 25.32/4.25 X1056) => 25.32/4.25 (![X1064]: 25.32/4.25 (in( 25.32/4.25 X1064, 25.32/4.25 X1058) => 25.32/4.25 (X1060( 25.32/4.25 X1062, 25.32/4.25 X1064) => 25.32/4.25 in( 25.32/4.25 kpair( 25.32/4.25 X1062, 25.32/4.25 X1064), 25.32/4.25 dpsetconstr( 25.32/4.25 X1056, 25.32/4.25 X1058, 25.32/4.25 ^[V_21, 25.32/4.25 V_22]: 25.32/4.25 X1060( 25.32/4.25 V_21,V_22)))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1066, 25.32/4.25 X1068, 25.32/4.25 X1070:( 25.32/4.25 ($i * $i) > 25.32/4.25 $o)]: 25.32/4.25 subset( 25.32/4.25 dpsetconstr( 25.32/4.25 X1066, 25.32/4.25 X1068, 25.32/4.25 ^[V_23, 25.32/4.25 V_24]: 25.32/4.25 X1070( 25.32/4.25 V_23,V_24)), 25.32/4.25 cartprod( 25.32/4.25 X1066, 25.32/4.25 X1068))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1072, 25.32/4.25 X1074, 25.32/4.25 X1076:( 25.32/4.25 ($i * $i) > 25.32/4.25 $o)]: 25.32/4.25 subset( 25.32/4.25 dpsetconstr( 25.32/4.25 X1072, 25.32/4.25 X1074, 25.32/4.25 ^[V_25, 25.32/4.25 V_26]: 25.32/4.25 X1076( 25.32/4.25 V_25,V_26)), 25.32/4.25 cartprod( 25.32/4.25 X1072, 25.32/4.25 X1074))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1078, 25.32/4.25 X1080, 25.32/4.25 X1082:( 25.32/4.25 ($i * $i) > 25.32/4.25 $o),X1084]: 25.32/4.25 (in( 25.32/4.25 X1084, 25.32/4.25 X1078) => 25.32/4.25 (![X1086]: 25.32/4.25 (in( 25.32/4.25 X1086, 25.32/4.25 X1080) => 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1084, 25.32/4.25 X1086), 25.32/4.25 dpsetconstr( 25.32/4.25 X1078, 25.32/4.25 X1080, 25.32/4.25 ^[V_27, 25.32/4.25 V_28]: 25.32/4.25 X1082( 25.32/4.25 V_27,V_28))) => 25.32/4.25 X1082( 25.32/4.25 X1084, 25.32/4.25 X1086)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1088, 25.32/4.25 X1090, 25.32/4.25 X1092:( 25.32/4.25 ($i * $i) > 25.32/4.25 $o), 25.32/4.25 X1094, 25.32/4.25 X1096]: 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1094, 25.32/4.25 X1096), 25.32/4.25 dpsetconstr( 25.32/4.25 X1088, 25.32/4.25 X1090, 25.32/4.25 ^[V_29, 25.32/4.25 V_30]: 25.32/4.25 X1092( 25.32/4.25 V_29,V_30))) => 25.32/4.25 in( 25.32/4.25 X1094, 25.32/4.25 X1088))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1098, 25.32/4.25 X1100, 25.32/4.25 X1102:( 25.32/4.25 ($i * $i) > 25.32/4.25 $o), 25.32/4.25 X1104, 25.32/4.25 X1106]: 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1104, 25.32/4.25 X1106), 25.32/4.25 dpsetconstr( 25.32/4.25 X1098, 25.32/4.25 X1100, 25.32/4.25 ^[V_31, 25.32/4.25 V_32]: 25.32/4.25 X1102( 25.32/4.25 V_31,V_32))) => 25.32/4.25 in( 25.32/4.25 X1106, 25.32/4.25 X1100))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1108, 25.32/4.25 X1110, 25.32/4.25 X1112:( 25.32/4.25 ($i * $i) > 25.32/4.25 $o), 25.32/4.25 X1114, 25.32/4.25 X1116]: 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1114, 25.32/4.25 X1116), 25.32/4.25 dpsetconstr( 25.32/4.25 X1108, 25.32/4.25 X1110, 25.32/4.25 ^[V_33, 25.32/4.25 V_34]: 25.32/4.25 X1112( 25.32/4.25 V_33,V_34))) => 25.32/4.25 X1112( 25.32/4.25 X1114, 25.32/4.25 X1116))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1118, 25.32/4.25 X1120, 25.32/4.25 X1122]: 25.32/4.25 (func( 25.32/4.25 X1118, 25.32/4.25 X1120, 25.32/4.25 X1122) => 25.32/4.25 (![X1124]: 25.32/4.25 (in( 25.32/4.25 X1124, 25.32/4.25 X1118) => 25.32/4.25 singleton( 25.32/4.25 dsetconstr( 25.32/4.25 X1120, 25.32/4.25 ^[V_35]: 25.32/4.25 in( 25.32/4.25 kpair( 25.32/4.25 X1124, 25.32/4.25 V_35), 25.32/4.25 X1122))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1126, 25.32/4.25 X1128, 25.32/4.25 X1130]: 25.32/4.25 (func( 25.32/4.25 X1126, 25.32/4.25 X1128, 25.32/4.25 X1130) => 25.32/4.25 (![X1132]: 25.32/4.25 (in( 25.32/4.25 X1132, 25.32/4.25 X1126) => 25.32/4.25 in( 25.32/4.25 setunion( 25.32/4.25 dsetconstr( 25.32/4.25 X1128, 25.32/4.25 ^[V_36]: 25.32/4.25 in( 25.32/4.25 kpair( 25.32/4.25 X1132, 25.32/4.25 V_36), 25.32/4.25 X1130))), 25.32/4.25 X1128))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1134, 25.32/4.25 X1136, 25.32/4.25 X1138]: 25.32/4.25 (func( 25.32/4.25 X1134, 25.32/4.25 X1136, 25.32/4.25 X1138) => 25.32/4.25 (![X1140]: 25.32/4.25 (in( 25.32/4.25 X1140, 25.32/4.25 X1134) => 25.32/4.25 in( 25.32/4.25 ap( 25.32/4.25 X1134, 25.32/4.25 X1136, 25.32/4.25 X1138, 25.32/4.25 X1140), 25.32/4.25 X1136))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1142, 25.32/4.25 X1144, 25.32/4.25 X1146]: 25.32/4.25 (in( 25.32/4.25 X1146, 25.32/4.25 funcSet( 25.32/4.25 X1142, 25.32/4.25 X1144)) => 25.32/4.25 func( 25.32/4.25 X1142, 25.32/4.25 X1144, 25.32/4.25 X1146))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1148, 25.32/4.25 X1150, 25.32/4.25 X1152]: 25.32/4.25 (in( 25.32/4.25 X1152, 25.32/4.25 funcSet( 25.32/4.25 X1148, 25.32/4.25 X1150)) => 25.32/4.25 (![X1154]: 25.32/4.25 (in( 25.32/4.25 X1154, 25.32/4.25 X1148) => 25.32/4.25 in( 25.32/4.25 ap( 25.32/4.25 X1148, 25.32/4.25 X1150, 25.32/4.25 X1152, 25.32/4.25 X1154), 25.32/4.25 X1150))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1156, 25.32/4.25 X1158, 25.32/4.25 X1160]: 25.32/4.25 (func( 25.32/4.25 X1156, 25.32/4.25 X1158, 25.32/4.25 X1160) => 25.32/4.25 in( 25.32/4.25 X1160, 25.32/4.25 funcSet( 25.32/4.25 X1156, 25.32/4.25 X1158)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1162, 25.32/4.25 X1164, 25.32/4.25 X1166:( 25.32/4.25 ( 25.32/4.25 $i > $i))]: 25.32/4.25 (( 25.32/4.25 ![X1168]: 25.32/4.25 (in( 25.32/4.25 X1168, 25.32/4.25 X1162) => 25.32/4.25 in( 25.32/4.25 X1166( 25.32/4.25 X1168), 25.32/4.25 X1164))) => 25.32/4.25 func( 25.32/4.25 X1162, 25.32/4.25 X1164, 25.32/4.25 dpsetconstr( 25.32/4.25 X1162, 25.32/4.25 X1164, 25.32/4.25 ^[V_37, 25.32/4.25 V_38]: 25.32/4.25 (X1166( 25.32/4.25 V_37) = 25.32/4.25 V_38))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1170, 25.32/4.25 X1172, 25.32/4.25 X1174:( 25.32/4.25 ( 25.32/4.25 $i > $i))]: 25.32/4.25 (( 25.32/4.25 ![X1176]: 25.32/4.25 (in( 25.32/4.25 X1176, 25.32/4.25 X1170) => 25.32/4.25 in( 25.32/4.25 X1174( 25.32/4.25 X1176), 25.32/4.25 X1172))) => 25.32/4.25 func( 25.32/4.25 X1170, 25.32/4.25 X1172, 25.32/4.25 lam( 25.32/4.25 X1170, 25.32/4.25 X1172, 25.32/4.25 ^[V_39]: 25.32/4.25 X1174( 25.32/4.25 V_39))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1178, 25.32/4.25 X1180, 25.32/4.25 X1182:( 25.32/4.25 ( 25.32/4.25 $i > $i))]: 25.32/4.25 (( 25.32/4.25 ![X1184]: 25.32/4.25 (in( 25.32/4.25 X1184, 25.32/4.25 X1178) => 25.32/4.25 in( 25.32/4.25 X1182( 25.32/4.25 X1184), 25.32/4.25 X1180))) => 25.32/4.25 in( 25.32/4.25 lam( 25.32/4.25 X1178, 25.32/4.25 X1180, 25.32/4.25 ^[V_40]: 25.32/4.25 X1182( 25.32/4.25 V_40)), 25.32/4.25 funcSet( 25.32/4.25 X1178, 25.32/4.25 X1180)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1186, 25.32/4.25 X1188, 25.32/4.25 X1190]: 25.32/4.25 (subset( 25.32/4.25 X1190, 25.32/4.25 cartprod( 25.32/4.25 X1186, 25.32/4.25 X1188)) => 25.32/4.25 (![X1192:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (( 25.32/4.25 ![X1194]: 25.32/4.25 (in( 25.32/4.25 X1194, 25.32/4.25 X1186) => 25.32/4.25 (![X1196]: 25.32/4.25 (in( 25.32/4.25 X1196, 25.32/4.25 X1188) => 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1194, 25.32/4.25 X1196), 25.32/4.25 X1190) => 25.32/4.25 X1192( 25.32/4.25 kpair( 25.32/4.25 X1194, 25.32/4.25 X1196))))))) => 25.32/4.25 (![X1198]: 25.32/4.25 (in( 25.32/4.25 X1198, 25.32/4.25 X1190) => 25.32/4.25 X1192( 25.32/4.25 X1198))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1200, 25.32/4.25 X1202, 25.32/4.25 X1204]: 25.32/4.25 (subset( 25.32/4.25 X1204, 25.32/4.25 cartprod( 25.32/4.25 X1200, 25.32/4.25 X1202)) => 25.32/4.25 (![X1206:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (( 25.32/4.25 ![X1208]: 25.32/4.25 (in( 25.32/4.25 X1208, 25.32/4.25 X1200) => 25.32/4.25 (![X1210]: 25.32/4.25 (in( 25.32/4.25 X1210, 25.32/4.25 X1202) => 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1208, 25.32/4.25 X1210), 25.32/4.25 X1204) => 25.32/4.25 X1206( 25.32/4.25 kpair( 25.32/4.25 X1208, 25.32/4.25 X1210))))))) => 25.32/4.25 (![X1212]: 25.32/4.25 (in( 25.32/4.25 X1212, 25.32/4.25 X1204) => 25.32/4.25 X1206( 25.32/4.25 X1212))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1214, 25.32/4.25 X1216:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (singleton( 25.32/4.25 dsetconstr( 25.32/4.25 X1214, 25.32/4.25 ^[V_41]: 25.32/4.25 X1216( 25.32/4.25 V_41))) => 25.32/4.25 (![X1218]: 25.32/4.25 (in( 25.32/4.25 X1218, 25.32/4.25 X1214) => 25.32/4.25 (![X1220]: 25.32/4.25 (in( 25.32/4.25 X1220, 25.32/4.25 X1214) => 25.32/4.25 (X1216( 25.32/4.25 X1218) => 25.32/4.25 (X1216( 25.32/4.25 X1220) => 25.32/4.25 (X1218 = 25.32/4.25 X1220))))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1222, 25.32/4.25 X1224, 25.32/4.25 X1226]: 25.32/4.25 (func( 25.32/4.25 X1222, 25.32/4.25 X1224, 25.32/4.25 X1226) => 25.32/4.25 (![X1228]: 25.32/4.25 (in( 25.32/4.25 X1228, 25.32/4.25 X1222) => 25.32/4.25 in( 25.32/4.25 kpair( 25.32/4.25 X1228, 25.32/4.25 ap( 25.32/4.25 X1222, 25.32/4.25 X1224, 25.32/4.25 X1226, 25.32/4.25 X1228)), 25.32/4.25 X1226))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1230, 25.32/4.25 X1232, 25.32/4.25 X1234]: 25.32/4.25 (in( 25.32/4.25 X1234, 25.32/4.25 funcSet( 25.32/4.25 X1230, 25.32/4.25 X1232)) => 25.32/4.25 (![X1236]: 25.32/4.25 (in( 25.32/4.25 X1236, 25.32/4.25 X1230) => 25.32/4.25 in( 25.32/4.25 kpair( 25.32/4.25 X1236, 25.32/4.25 ap( 25.32/4.25 X1230, 25.32/4.25 X1232, 25.32/4.25 X1234, 25.32/4.25 X1236)), 25.32/4.25 X1234))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1238, 25.32/4.25 X1240, 25.32/4.25 X1242]: 25.32/4.25 (func( 25.32/4.25 X1238, 25.32/4.25 X1240, 25.32/4.25 X1242) => 25.32/4.25 (![X1244]: 25.32/4.25 (in( 25.32/4.25 X1244, 25.32/4.25 X1238) => 25.32/4.25 (![X1246]: 25.32/4.25 (in( 25.32/4.25 X1246, 25.32/4.25 X1240) => 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1244, 25.32/4.25 X1246), 25.32/4.25 X1242) => 25.32/4.25 (ap( 25.32/4.25 X1238, 25.32/4.25 X1240, 25.32/4.25 X1242, 25.32/4.25 X1244) = 25.32/4.25 X1246)))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1248, 25.32/4.25 X1250, 25.32/4.25 X1252]: 25.32/4.25 (func( 25.32/4.25 X1248, 25.32/4.25 X1250, 25.32/4.25 X1252) => 25.32/4.25 (![X1254]: 25.32/4.25 (func( 25.32/4.25 X1248, 25.32/4.25 X1250, 25.32/4.25 X1254) => 25.32/4.25 (( 25.32/4.25 ![X1256]: 25.32/4.25 (in( 25.32/4.25 X1256, 25.32/4.25 X1248) => 25.32/4.25 (ap( 25.32/4.25 X1248, 25.32/4.25 X1250, 25.32/4.25 X1252, 25.32/4.25 X1256) = 25.32/4.25 ap( 25.32/4.25 X1248, 25.32/4.25 X1250, 25.32/4.25 X1254, 25.32/4.25 X1256)))) => 25.32/4.25 (![X1258]: 25.32/4.25 (in( 25.32/4.25 X1258, 25.32/4.25 X1248) => 25.32/4.25 (![X1260]: 25.32/4.25 (in( 25.32/4.25 X1260, 25.32/4.25 X1250) => 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1258, 25.32/4.25 X1260), 25.32/4.25 X1254) => 25.32/4.25 in( 25.32/4.25 kpair( 25.32/4.25 X1258, 25.32/4.25 X1260), 25.32/4.25 X1252))))))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1262, 25.32/4.25 X1264, 25.32/4.25 X1266]: 25.32/4.25 (in( 25.32/4.25 X1266, 25.32/4.25 funcSet( 25.32/4.25 X1262, 25.32/4.25 X1264)) => 25.32/4.25 (![X1268]: 25.32/4.25 (in( 25.32/4.25 X1268, 25.32/4.25 X1262) => 25.32/4.25 (![X1270]: 25.32/4.25 (in( 25.32/4.25 X1270, 25.32/4.25 X1264) => 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1268, 25.32/4.25 X1270), 25.32/4.25 X1266) => 25.32/4.25 (ap( 25.32/4.25 X1262, 25.32/4.25 X1264, 25.32/4.25 X1266, 25.32/4.25 X1268) = 25.32/4.25 X1270)))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1272, 25.32/4.25 X1274, 25.32/4.25 X1276]: 25.32/4.25 (subset( 25.32/4.25 X1276, 25.32/4.25 cartprod( 25.32/4.25 X1272, 25.32/4.25 X1274)) => 25.32/4.25 (![X1278]: 25.32/4.25 (subset( 25.32/4.25 X1278, 25.32/4.25 cartprod( 25.32/4.25 X1272, 25.32/4.25 X1274)) => 25.32/4.25 (( 25.32/4.25 ![X1280]: 25.32/4.25 (in( 25.32/4.25 X1280, 25.32/4.25 X1272) => 25.32/4.25 (![X1282]: 25.32/4.25 (in( 25.32/4.25 X1282, 25.32/4.25 X1274) => 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1280, 25.32/4.25 X1282), 25.32/4.25 X1276) => 25.32/4.25 in( 25.32/4.25 kpair( 25.32/4.25 X1280, 25.32/4.25 X1282), 25.32/4.25 X1278)))))) => 25.32/4.25 subset( 25.32/4.25 X1276, 25.32/4.25 X1278)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1284, 25.32/4.25 X1286, 25.32/4.25 X1288]: 25.32/4.25 (subset( 25.32/4.25 X1288, 25.32/4.25 cartprod( 25.32/4.25 X1284, 25.32/4.25 X1286)) => 25.32/4.25 (![X1290]: 25.32/4.25 (subset( 25.32/4.25 X1290, 25.32/4.25 cartprod( 25.32/4.25 X1284, 25.32/4.25 X1286)) => 25.32/4.25 (( 25.32/4.25 ![X1292]: 25.32/4.25 (in( 25.32/4.25 X1292, 25.32/4.25 X1284) => 25.32/4.25 (![X1294]: 25.32/4.25 (in( 25.32/4.25 X1294, 25.32/4.25 X1286) => 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1292, 25.32/4.25 X1294), 25.32/4.25 X1288) => 25.32/4.25 in( 25.32/4.25 kpair( 25.32/4.25 X1292, 25.32/4.25 X1294), 25.32/4.25 X1290)))))) => 25.32/4.25 (( 25.32/4.25 ![X1296]: 25.32/4.25 (in( 25.32/4.25 X1296, 25.32/4.25 X1284) => 25.32/4.25 (![X1298]: 25.32/4.25 (in( 25.32/4.25 X1298, 25.32/4.25 X1286) => 25.32/4.25 (in( 25.32/4.25 kpair( 25.32/4.25 X1296, 25.32/4.25 X1298), 25.32/4.25 X1290) => 25.32/4.25 in( 25.32/4.25 kpair( 25.32/4.25 X1296, 25.32/4.25 X1298), 25.32/4.25 X1288)))))) => 25.32/4.25 (X1288 = 25.32/4.25 X1290))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1300, 25.32/4.25 X1302, 25.32/4.25 X1304]: 25.32/4.25 (func( 25.32/4.25 X1300, 25.32/4.25 X1302, 25.32/4.25 X1304) => 25.32/4.25 (![X1306]: 25.32/4.25 (func( 25.32/4.25 X1300, 25.32/4.25 X1302, 25.32/4.25 X1306) => 25.32/4.25 (( 25.32/4.25 ![X1308]: 25.32/4.25 (in( 25.32/4.25 X1308, 25.32/4.25 X1300) => 25.32/4.25 (ap( 25.32/4.25 X1300, 25.32/4.25 X1302, 25.32/4.25 X1304, 25.32/4.25 X1308) = 25.32/4.25 ap( 25.32/4.25 X1300, 25.32/4.25 X1302, 25.32/4.25 X1306, 25.32/4.25 X1308)))) => 25.32/4.25 (X1304 = 25.32/4.25 X1306)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1310, 25.32/4.25 X1312, 25.32/4.25 X1314]: 25.32/4.25 (in( 25.32/4.25 X1314, 25.32/4.25 funcSet( 25.32/4.25 X1310, 25.32/4.25 X1312)) => 25.32/4.25 (![X1316]: 25.32/4.25 (in( 25.32/4.25 X1316, 25.32/4.25 funcSet( 25.32/4.25 X1310, 25.32/4.25 X1312)) => 25.32/4.25 (( 25.32/4.25 ![X1318]: 25.32/4.25 (in( 25.32/4.25 X1318, 25.32/4.25 X1310) => 25.32/4.25 (ap( 25.32/4.25 X1310, 25.32/4.25 X1312, 25.32/4.25 X1314, 25.32/4.25 X1318) = 25.32/4.25 ap( 25.32/4.25 X1310, 25.32/4.25 X1312, 25.32/4.25 X1316, 25.32/4.25 X1318)))) => 25.32/4.25 (X1314 = 25.32/4.25 X1316)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1320, 25.32/4.25 X1322, 25.32/4.25 X1324]: 25.32/4.25 (in( 25.32/4.25 X1324, 25.32/4.25 funcSet( 25.32/4.25 X1320, 25.32/4.25 X1322)) => 25.32/4.25 (![X1326]: 25.32/4.25 (in( 25.32/4.25 X1326, 25.32/4.25 X1320) => 25.32/4.25 (ap( 25.32/4.25 X1320, 25.32/4.25 X1322, 25.32/4.25 X1324, 25.32/4.25 X1326) = 25.32/4.25 ap( 25.32/4.25 X1320, 25.32/4.25 X1322, 25.32/4.25 X1324, 25.32/4.25 X1326)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1328, 25.32/4.25 X1330, 25.32/4.25 X1332]: 25.32/4.25 (func( 25.32/4.25 X1328, 25.32/4.25 X1330, 25.32/4.25 X1332) => 25.32/4.25 (![X1334]: 25.32/4.25 (in( 25.32/4.25 X1334, 25.32/4.25 X1328) => 25.32/4.25 (ap( 25.32/4.25 X1328, 25.32/4.25 X1330, 25.32/4.25 X1332, 25.32/4.25 X1334) = 25.32/4.25 ap( 25.32/4.25 X1328, 25.32/4.25 X1330, 25.32/4.25 X1332, 25.32/4.25 X1334)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1336, 25.32/4.25 X1338, 25.32/4.25 X1340:( 25.32/4.25 ( 25.32/4.25 $i > $i))]: 25.32/4.25 (( 25.32/4.25 ![X1342]: 25.32/4.25 (in( 25.32/4.25 X1342, 25.32/4.25 X1336) => 25.32/4.25 in( 25.32/4.25 X1340( 25.32/4.25 X1342), 25.32/4.25 X1338))) => 25.32/4.25 (![X1344]: 25.32/4.25 (in( 25.32/4.25 X1344, 25.32/4.25 X1336) => 25.32/4.25 (ap( 25.32/4.25 X1336, 25.32/4.25 X1338, 25.32/4.25 lam( 25.32/4.25 X1336, 25.32/4.25 X1338, 25.32/4.25 ^[V_42]: 25.32/4.25 X1340( 25.32/4.25 V_42)), 25.32/4.25 X1344) = 25.32/4.25 X1340( 25.32/4.25 X1344)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1346, 25.32/4.25 X1348, 25.32/4.25 X1350]: 25.32/4.25 (func( 25.32/4.25 X1346, 25.32/4.25 X1348, 25.32/4.25 X1350) => 25.32/4.25 (lam( 25.32/4.25 X1346, 25.32/4.25 X1348, 25.32/4.25 ^[V_43]: 25.32/4.25 ap( 25.32/4.25 X1346, 25.32/4.25 X1348, 25.32/4.25 X1350, 25.32/4.25 V_43)) = 25.32/4.25 X1350))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1352, 25.32/4.25 X1354, 25.32/4.25 X1356:( 25.32/4.25 ( 25.32/4.25 $i > $i))]: 25.32/4.25 (( 25.32/4.25 ![X1358]: 25.32/4.25 (in( 25.32/4.25 X1358, 25.32/4.25 X1352) => 25.32/4.25 in( 25.32/4.25 X1356( 25.32/4.25 X1358), 25.32/4.25 X1354))) => 25.32/4.25 (lam( 25.32/4.25 X1352, 25.32/4.25 X1354, 25.32/4.25 ^[V_44]: 25.32/4.25 X1356( 25.32/4.25 V_44)) = 25.32/4.25 lam( 25.32/4.25 X1352, 25.32/4.25 X1354, 25.32/4.25 ^[V_45]: 25.32/4.25 X1356( 25.32/4.25 V_45))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1360, 25.32/4.25 X1362, 25.32/4.25 X1364:( 25.32/4.25 ( 25.32/4.25 $i > $i))]: 25.32/4.25 (( 25.32/4.25 ![X1366]: 25.32/4.25 (in( 25.32/4.25 X1366, 25.32/4.25 X1360) => 25.32/4.25 in( 25.32/4.25 X1364( 25.32/4.25 X1366), 25.32/4.25 X1362))) => 25.32/4.25 (![X1368]: 25.32/4.25 (in( 25.32/4.25 X1368, 25.32/4.25 X1360) => 25.32/4.25 (ap( 25.32/4.25 X1360, 25.32/4.25 X1362, 25.32/4.25 lam( 25.32/4.25 X1360, 25.32/4.25 X1362, 25.32/4.25 ^[V_46]: 25.32/4.25 X1364( 25.32/4.25 V_46)), 25.32/4.25 X1368) = 25.32/4.25 X1364( 25.32/4.25 X1368)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1370, 25.32/4.25 X1372, 25.32/4.25 X1374]: 25.32/4.25 (in( 25.32/4.25 X1374, 25.32/4.25 funcSet( 25.32/4.25 X1370, 25.32/4.25 X1372)) => 25.32/4.25 (lam( 25.32/4.25 X1370, 25.32/4.25 X1372, 25.32/4.25 ^[V_47]: 25.32/4.25 ap( 25.32/4.25 X1370, 25.32/4.25 X1372, 25.32/4.25 X1374, 25.32/4.25 V_47)) = 25.32/4.25 X1374))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1376, 25.32/4.25 X1378:$o, 25.32/4.25 X1380]: 25.32/4.25 (in( 25.32/4.25 X1380, 25.32/4.25 X1376) => 25.32/4.25 (![X1382]: 25.32/4.25 (in( 25.32/4.25 X1382, 25.32/4.25 X1376) => 25.32/4.25 (( 25.32/4.25 ~X1378) => 25.32/4.25 in( 25.32/4.25 X1382, 25.32/4.25 dsetconstr( 25.32/4.25 X1376, 25.32/4.25 ^[V_48]: 25.32/4.25 (( 25.32/4.25 ( 25.32/4.25 V_48 = 25.32/4.25 X1382) & 25.32/4.25 ( 25.32/4.25 ~X1378)) | 25.32/4.25 (( 25.32/4.25 V_48 = 25.32/4.25 X1380) & 25.32/4.25 X1378))))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1384, 25.32/4.25 X1386:$o, 25.32/4.25 X1388]: 25.32/4.25 (in( 25.32/4.25 X1388, 25.32/4.25 X1384) => 25.32/4.25 (![X1390]: 25.32/4.25 (in( 25.32/4.25 X1390, 25.32/4.25 X1384) => 25.32/4.25 (( 25.32/4.25 ~X1386) => 25.32/4.25 (dsetconstr( 25.32/4.25 X1384, 25.32/4.25 ^[V_49]: 25.32/4.25 (( 25.32/4.25 ( 25.32/4.25 V_49 = 25.32/4.25 X1390) & 25.32/4.25 ( 25.32/4.25 ~X1386)) | 25.32/4.25 (( 25.32/4.25 V_49 = 25.32/4.25 X1388) & 25.32/4.25 X1386))) = 25.32/4.25 setadjoin( 25.32/4.25 X1390, 25.32/4.25 emptyset))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1392, 25.32/4.25 X1394:$o, 25.32/4.25 X1396]: 25.32/4.25 (in( 25.32/4.25 X1396, 25.32/4.25 X1392) => 25.32/4.25 (![X1398]: 25.32/4.25 (in( 25.32/4.25 X1398, 25.32/4.25 X1392) => 25.32/4.25 (X1394 => 25.32/4.25 in( 25.32/4.25 X1396, 25.32/4.25 dsetconstr( 25.32/4.25 X1392, 25.32/4.25 ^[V_50]: 25.32/4.25 (( 25.32/4.25 ( 25.32/4.25 V_50 = 25.32/4.25 X1398) & 25.32/4.25 ( 25.32/4.25 ~X1394)) | 25.32/4.25 (( 25.32/4.25 V_50 = 25.32/4.25 X1396) & 25.32/4.25 X1394))))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1400, 25.32/4.25 X1402:$o, 25.32/4.25 X1404]: 25.32/4.25 (in( 25.32/4.25 X1404, 25.32/4.25 X1400) => 25.32/4.25 (![X1406]: 25.32/4.25 (in( 25.32/4.25 X1406, 25.32/4.25 X1400) => 25.32/4.25 (X1402 => 25.32/4.25 (dsetconstr( 25.32/4.25 X1400, 25.32/4.25 ^[V_51]: 25.32/4.25 (( 25.32/4.25 ( 25.32/4.25 V_51 = 25.32/4.25 X1406) & 25.32/4.25 ( 25.32/4.25 ~X1402)) | 25.32/4.25 (( 25.32/4.25 V_51 = 25.32/4.25 X1404) & 25.32/4.25 X1402))) = 25.32/4.25 setadjoin( 25.32/4.25 X1404, 25.32/4.25 emptyset))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1408, 25.32/4.25 X1410:$o, 25.32/4.25 X1412]: 25.32/4.25 (in( 25.32/4.25 X1412, 25.32/4.25 X1408) => 25.32/4.25 (![X1414]: 25.32/4.25 (in( 25.32/4.25 X1414, 25.32/4.25 X1408) => 25.32/4.25 singleton( 25.32/4.25 dsetconstr( 25.32/4.25 X1408, 25.32/4.25 ^[V_52]: 25.32/4.25 (( 25.32/4.25 ( 25.32/4.25 V_52 = 25.32/4.25 X1414) & 25.32/4.25 ( 25.32/4.25 ~X1410)) | 25.32/4.25 (( 25.32/4.25 V_52 = 25.32/4.25 X1412) & 25.32/4.25 X1410)))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1416, 25.32/4.25 X1418:$o, 25.32/4.25 X1420]: 25.32/4.25 (in( 25.32/4.25 X1420, 25.32/4.25 X1416) => 25.32/4.25 (![X1422]: 25.32/4.25 (in( 25.32/4.25 X1422, 25.32/4.25 X1416) => 25.32/4.25 in( 25.32/4.25 if( 25.32/4.25 X1416, 25.32/4.25 X1418, 25.32/4.25 X1420, 25.32/4.25 X1422), 25.32/4.25 X1416))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1424]: 25.32/4.25 (singleton( 25.32/4.25 X1424) => 25.32/4.25 (![X1426]: 25.32/4.25 (in( 25.32/4.25 X1426, 25.32/4.25 X1424) => 25.32/4.25 (setunion( 25.32/4.25 X1424) = 25.32/4.25 X1426))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1428, 25.32/4.25 X1430:$o, 25.32/4.25 X1432]: 25.32/4.25 (in( 25.32/4.25 X1432, 25.32/4.25 X1428) => 25.32/4.25 (![X1434]: 25.32/4.25 (in( 25.32/4.25 X1434, 25.32/4.25 X1428) => 25.32/4.25 (X1430 => 25.32/4.25 (if( 25.32/4.25 X1428, 25.32/4.25 X1430, 25.32/4.25 X1432, 25.32/4.25 X1434) = 25.32/4.25 X1432)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1436, 25.32/4.25 X1438:$o, 25.32/4.25 X1440]: 25.32/4.25 (in( 25.32/4.25 X1440, 25.32/4.25 X1436) => 25.32/4.25 (![X1442]: 25.32/4.25 (in( 25.32/4.25 X1442, 25.32/4.25 X1436) => 25.32/4.25 (( 25.32/4.25 ~X1438) => 25.32/4.25 (if( 25.32/4.25 X1436, 25.32/4.25 X1438, 25.32/4.25 X1440, 25.32/4.25 X1442) = 25.32/4.25 X1442)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1444, 25.32/4.25 X1446:$o, 25.32/4.25 X1448]: 25.32/4.25 (in( 25.32/4.25 X1448, 25.32/4.25 X1444) => 25.32/4.25 (![X1450]: 25.32/4.25 (in( 25.32/4.25 X1450, 25.32/4.25 X1444) => 25.32/4.25 in( 25.32/4.25 if( 25.32/4.25 X1444, 25.32/4.25 X1446, 25.32/4.25 X1448, 25.32/4.25 X1450), 25.32/4.25 setadjoin( 25.32/4.25 X1448, 25.32/4.25 setadjoin( 25.32/4.25 X1450, 25.32/4.25 emptyset))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1452, 25.32/4.25 X1454]: 25.32/4.25 (in( 25.32/4.25 X1454, 25.32/4.25 powerset( 25.32/4.25 X1452)) => 25.32/4.25 (![X1456]: 25.32/4.25 (in( 25.32/4.25 X1456, 25.32/4.25 powerset( 25.32/4.25 X1452)) => 25.32/4.25 in( 25.32/4.25 binintersect( 25.32/4.25 X1454, 25.32/4.25 X1456), 25.32/4.25 powerset( 25.32/4.25 X1452)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1458, 25.32/4.25 X1460]: 25.32/4.25 (in( 25.32/4.25 X1460, 25.32/4.25 powerset( 25.32/4.25 X1458)) => 25.32/4.25 (![X1462]: 25.32/4.25 (in( 25.32/4.25 X1462, 25.32/4.25 powerset( 25.32/4.25 X1458)) => 25.32/4.25 in( 25.32/4.25 binunion( 25.32/4.25 X1460, 25.32/4.25 X1462), 25.32/4.25 powerset( 25.32/4.25 X1458)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1464, 25.32/4.25 X1466]: 25.32/4.25 (in( 25.32/4.25 X1466, 25.32/4.25 powerset( 25.32/4.25 X1464)) => 25.32/4.25 in( 25.32/4.25 powerset( 25.32/4.25 X1466), 25.32/4.25 powerset( 25.32/4.25 powerset( 25.32/4.25 X1464))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1468, 25.32/4.25 X1470]: 25.32/4.25 (in( 25.32/4.25 X1470, 25.32/4.25 powerset( 25.32/4.25 X1468)) => 25.32/4.25 (![X1472]: 25.32/4.25 (in( 25.32/4.25 X1472, 25.32/4.25 powerset( 25.32/4.25 X1468)) => 25.32/4.25 in( 25.32/4.25 setminus( 25.32/4.25 X1470, 25.32/4.25 X1472), 25.32/4.25 powerset( 25.32/4.25 X1468)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1474, 25.32/4.25 X1476]: 25.32/4.25 (in( 25.32/4.25 X1476, 25.32/4.25 powerset( 25.32/4.25 X1474)) => 25.32/4.25 in( 25.32/4.25 setminus( 25.32/4.25 X1474, 25.32/4.25 X1476), 25.32/4.25 powerset( 25.32/4.25 X1474)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1478, 25.32/4.25 X1480]: 25.32/4.25 (in( 25.32/4.25 X1480, 25.32/4.25 powerset( 25.32/4.25 X1478)) => 25.32/4.25 (![X1482]: 25.32/4.25 (in( 25.32/4.25 X1482, 25.32/4.25 powerset( 25.32/4.25 X1478)) => 25.32/4.25 (( 25.32/4.25 ![X1484]: 25.32/4.25 (in( 25.32/4.25 X1484, 25.32/4.25 X1478) => 25.32/4.25 (in( 25.32/4.25 X1484, 25.32/4.25 X1480) => 25.32/4.25 in( 25.32/4.25 X1484, 25.32/4.25 X1482)))) => 25.32/4.25 (( 25.32/4.25 ![X1486]: 25.32/4.25 (in( 25.32/4.25 X1486, 25.32/4.25 X1478) => 25.32/4.25 (in( 25.32/4.25 X1486, 25.32/4.25 X1482) => 25.32/4.25 in( 25.32/4.25 X1486, 25.32/4.25 X1480)))) => 25.32/4.25 (X1480 = 25.32/4.25 X1482))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1488, 25.32/4.25 X1490]: 25.32/4.25 (in( 25.32/4.25 X1490, 25.32/4.25 powerset( 25.32/4.25 X1488)) => 25.32/4.25 (![X1492]: 25.32/4.25 (in( 25.32/4.25 X1492, 25.32/4.25 powerset( 25.32/4.25 X1488)) => 25.32/4.25 (( 25.32/4.25 ![X1494]: 25.32/4.25 (in( 25.32/4.25 X1494, 25.32/4.25 X1488) => 25.32/4.25 (in( 25.32/4.25 X1494, 25.32/4.25 X1490) => 25.32/4.25 in( 25.32/4.25 X1494, 25.32/4.25 X1492)))) => 25.32/4.25 subset( 25.32/4.25 X1490, 25.32/4.25 X1492)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1496, 25.32/4.25 X1498]: 25.32/4.25 (in( 25.32/4.25 X1498, 25.32/4.25 powerset( 25.32/4.25 X1496)) => 25.32/4.25 (![X1500]: 25.32/4.25 (in( 25.32/4.25 X1500, 25.32/4.25 powerset( 25.32/4.25 X1496)) => 25.32/4.25 (( 25.32/4.25 ![X1502]: 25.32/4.25 (in( 25.32/4.25 X1502, 25.32/4.25 X1496) => 25.32/4.25 (in( 25.32/4.25 X1502, 25.32/4.25 X1498) => 25.32/4.25 in( 25.32/4.25 X1502, 25.32/4.25 X1500)))) => 25.32/4.25 in( 25.32/4.25 X1498, 25.32/4.25 powerset( 25.32/4.25 X1500))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1504, 25.32/4.25 X1506]: 25.32/4.25 (in( 25.32/4.25 X1506, 25.32/4.25 powerset( 25.32/4.25 X1504)) => 25.32/4.25 (![X1508]: 25.32/4.25 (in( 25.32/4.25 X1508, 25.32/4.25 powerset( 25.32/4.25 X1504)) => 25.32/4.25 (![X1510]: 25.32/4.25 (in( 25.32/4.25 X1510, 25.32/4.25 X1504) => 25.32/4.25 (in( 25.32/4.25 X1506, 25.32/4.25 powerset( 25.32/4.25 X1508)) => 25.32/4.25 (in( 25.32/4.25 X1510, 25.32/4.25 X1506) => 25.32/4.25 in( 25.32/4.25 X1510, 25.32/4.25 X1508))))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1512, 25.32/4.25 X1514]: 25.32/4.25 (in( 25.32/4.25 X1514, 25.32/4.25 powerset( 25.32/4.25 X1512)) => 25.32/4.25 (![X1516]: 25.32/4.25 (in( 25.32/4.25 X1516, 25.32/4.25 X1512) => 25.32/4.25 (in( 25.32/4.25 X1516, 25.32/4.25 X1514) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X1516, 25.32/4.25 setminus( 25.32/4.25 X1512, 25.32/4.25 X1514)))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1518, 25.32/4.25 X1520]: 25.32/4.25 (in( 25.32/4.25 X1520, 25.32/4.25 powerset( 25.32/4.25 X1518)) => 25.32/4.25 (![X1522]: 25.32/4.25 (in( 25.32/4.25 X1522, 25.32/4.25 X1518) => 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X1522, 25.32/4.25 setminus( 25.32/4.25 X1518, 25.32/4.25 X1520))) => 25.32/4.25 in( 25.32/4.25 X1522, 25.32/4.25 X1520)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1524, 25.32/4.25 X1526]: 25.32/4.25 (in( 25.32/4.25 X1526, 25.32/4.25 powerset( 25.32/4.25 X1524)) => 25.32/4.25 (![X1528]: 25.32/4.25 (in( 25.32/4.25 X1528, 25.32/4.25 powerset( 25.32/4.25 X1524)) => 25.32/4.25 (![X1530]: 25.32/4.25 (in( 25.32/4.25 X1530, 25.32/4.25 X1524) => 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X1530, 25.32/4.25 X1526)) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X1530, 25.32/4.25 binintersect( 25.32/4.25 X1526, 25.32/4.25 X1528)))))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1532, 25.32/4.25 X1534]: 25.32/4.25 (in( 25.32/4.25 X1534, 25.32/4.25 powerset( 25.32/4.25 X1532)) => 25.32/4.25 (![X1536]: 25.32/4.25 (in( 25.32/4.25 X1536, 25.32/4.25 powerset( 25.32/4.25 X1532)) => 25.32/4.25 (![X1538]: 25.32/4.25 (in( 25.32/4.25 X1538, 25.32/4.25 X1532) => 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X1538, 25.32/4.25 X1536)) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X1538, 25.32/4.25 binintersect( 25.32/4.25 X1534, 25.32/4.25 X1536)))))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1540, 25.32/4.25 X1542]: 25.32/4.25 (in( 25.32/4.25 X1542, 25.32/4.25 powerset( 25.32/4.25 X1540)) => 25.32/4.25 (![X1544]: 25.32/4.25 (in( 25.32/4.25 X1544, 25.32/4.25 powerset( 25.32/4.25 X1540)) => 25.32/4.25 (![X1546]: 25.32/4.25 (in( 25.32/4.25 X1546, 25.32/4.25 X1540) => 25.32/4.25 (subset( 25.32/4.25 X1542, 25.32/4.25 setminus( 25.32/4.25 X1540, 25.32/4.25 X1544)) => 25.32/4.25 (in( 25.32/4.25 X1546, 25.32/4.25 X1544) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X1546, 25.32/4.25 X1542)))))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1548, 25.32/4.25 X1550]: 25.32/4.25 (in( 25.32/4.25 X1550, 25.32/4.25 powerset( 25.32/4.25 X1548)) => 25.32/4.25 (![X1552]: 25.32/4.25 (in( 25.32/4.25 X1552, 25.32/4.25 powerset( 25.32/4.25 X1548)) => 25.32/4.25 (![X1554]: 25.32/4.25 (in( 25.32/4.25 X1554, 25.32/4.25 X1548) => 25.32/4.25 (subset( 25.32/4.25 X1550, 25.32/4.25 X1552) => 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X1554, 25.32/4.25 X1552)) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X1554, 25.32/4.25 X1550)))))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1556, 25.32/4.25 X1558]: 25.32/4.25 (in( 25.32/4.25 X1558, 25.32/4.25 powerset( 25.32/4.25 X1556)) => 25.32/4.25 (![X1560]: 25.32/4.25 (in( 25.32/4.25 X1560, 25.32/4.25 powerset( 25.32/4.25 X1556)) => 25.32/4.25 (subset( 25.32/4.25 X1558, 25.32/4.25 X1560) => 25.32/4.25 subset( 25.32/4.25 setminus( 25.32/4.25 X1556, 25.32/4.25 X1560), 25.32/4.25 setminus( 25.32/4.25 X1556, 25.32/4.25 X1558))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1562, 25.32/4.25 X1564]: 25.32/4.25 (in( 25.32/4.25 X1564, 25.32/4.25 powerset( 25.32/4.25 X1562)) => 25.32/4.25 (![X1566]: 25.32/4.25 (in( 25.32/4.25 X1566, 25.32/4.25 powerset( 25.32/4.25 X1562)) => 25.32/4.25 (subset( 25.32/4.25 setminus( 25.32/4.25 X1562, 25.32/4.25 X1566), 25.32/4.25 setminus( 25.32/4.25 X1562, 25.32/4.25 X1564)) => 25.32/4.25 subset( 25.32/4.25 X1564, 25.32/4.25 X1566)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1568, 25.32/4.25 X1570]: 25.32/4.25 (in( 25.32/4.25 X1570, 25.32/4.25 powerset( 25.32/4.25 X1568)) => 25.32/4.25 (![X1572]: 25.32/4.25 (in( 25.32/4.25 X1572, 25.32/4.25 X1568) => 25.32/4.25 (in( 25.32/4.25 X1572, 25.32/4.25 X1570) => 25.32/4.25 in( 25.32/4.25 X1572, 25.32/4.25 setminus( 25.32/4.25 X1568, 25.32/4.25 setminus( 25.32/4.25 X1568, 25.32/4.25 X1570)))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1574, 25.32/4.25 X1576]: 25.32/4.25 (in( 25.32/4.25 X1576, 25.32/4.25 powerset( 25.32/4.25 X1574)) => 25.32/4.25 (![X1578]: 25.32/4.25 (in( 25.32/4.25 X1578, 25.32/4.25 X1574) => 25.32/4.25 (in( 25.32/4.25 X1578, 25.32/4.25 setminus( 25.32/4.25 X1574, 25.32/4.25 setminus( 25.32/4.25 X1574, 25.32/4.25 X1576))) => 25.32/4.25 in( 25.32/4.25 X1578, 25.32/4.25 X1576)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1580, 25.32/4.25 X1582]: 25.32/4.25 (in( 25.32/4.25 X1582, 25.32/4.25 powerset( 25.32/4.25 X1580)) => 25.32/4.25 subset( 25.32/4.25 X1582, 25.32/4.25 setminus( 25.32/4.25 X1580, 25.32/4.25 setminus( 25.32/4.25 X1580, 25.32/4.25 X1582))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1584, 25.32/4.25 X1586]: 25.32/4.25 (in( 25.32/4.25 X1586, 25.32/4.25 powerset( 25.32/4.25 X1584)) => 25.32/4.25 subset( 25.32/4.25 setminus( 25.32/4.25 X1584, 25.32/4.25 setminus( 25.32/4.25 X1584, 25.32/4.25 X1586)), 25.32/4.25 X1586))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1588, 25.32/4.25 X1590]: 25.32/4.25 (in( 25.32/4.25 X1590, 25.32/4.25 powerset( 25.32/4.25 X1588)) => 25.32/4.25 (X1590 = 25.32/4.25 setminus( 25.32/4.25 X1588, 25.32/4.25 setminus( 25.32/4.25 X1588, 25.32/4.25 X1590))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X1592, 25.32/4.25 X1594]: 25.32/4.25 (in( 25.32/4.25 X1594, 25.32/4.25 powerset( 25.32/4.25 X1592)) => 25.32/4.25 (![X1596]: 25.32/4.25 (in( 25.32/4.25 X1596, 25.32/4.25 powerset( 25.32/4.25 X1592)) => 25.32/4.25 (![X1598]: 25.32/4.25 (in( 25.32/4.25 X1598, 25.32/4.25 X1592) => 25.32/4.25 (in( 25.32/4.25 X1598, 25.32/4.25 setminus( 25.32/4.25 X1592, 25.32/4.25 X1594)) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X1598, 25.32/4.25 binintersect( 25.32/4.25 X1594, 25.32/4.25 X1596)))))))))) => 25.32/4.25 ( 25.32/4.25 ![X1600, 25.32/4.25 X1602]: 25.32/4.25 (in( 25.32/4.25 X1602, 25.32/4.25 powerset( 25.32/4.25 X1600)) => 25.32/4.25 (![X1604]: 25.32/4.25 (in( 25.32/4.25 X1604, 25.32/4.25 powerset( 25.32/4.25 X1600)) => 25.32/4.25 (![X1606]: 25.32/4.25 (in( 25.32/4.25 X1606, 25.32/4.25 X1600) => 25.32/4.25 (in( 25.32/4.25 X1606, 25.32/4.25 setminus( 25.32/4.25 X1600, 25.32/4.25 X1602)) => 25.32/4.25 in( 25.32/4.25 X1606, 25.32/4.25 setminus( 25.32/4.25 X1600, 25.32/4.25 binintersect( 25.32/4.25 X1602, 25.32/4.25 X1604)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 25.32/4.25 tff(zf_stmt_14, negated_conjecture, 25.32/4.25 (~ 25.32/4.25 ((![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))) => 25.32/4.25 ((![X10]: (~in(X10,emptyset))) => 25.32/4.25 ((![X12,X14,X16]: 25.32/4.25 (in(X16,setadjoin(X12,X14)) <=> zip_tseitin_0(X16,X14,X12))) => 25.32/4.25 ((![X18,X20]: 25.32/4.25 (in(X20,powerset(X18)) <=> (![X22]: zip_tseitin_1(X22,X20,X18)))) => 25.32/4.25 ((![X24,X26]: 25.32/4.25 (in(X26,setunion(X24)) <=> (?[X28]: zip_tseitin_2(X28,X26,X24)))) => 25.32/4.25 (in(emptyset,omega) => 25.32/4.25 ((![X30]: (in(X30,omega) => in(setadjoin(X30,X30),omega))) => 25.32/4.25 ((![X32]: 25.32/4.25 ((in(emptyset,X32) & 25.32/4.25 (![X34]: 25.32/4.25 ((in(X34,omega) & in(X34,X32)) => 25.32/4.25 in(setadjoin(X34,X34),X32)))) => 25.32/4.25 (![X36]: (in(X36,omega) => in(X36,X32))))) => 25.32/4.25 ((![X38:(($i * $i) > $o),X40]: 25.32/4.25 ((![X42]: 25.32/4.25 (in(X42,X40) => 25.32/4.25 (?[X44]: 25.32/4.25 ((![X46]: (X38(X42,X46) => (X44 = X46))) & 25.32/4.25 X38(X42,X44))))) => 25.32/4.25 (?[X48]: 25.32/4.25 (![X50]: 25.32/4.25 (in(X50,X48) <=> 25.32/4.25 (?[X52]: zip_tseitin_3(X52,X50,X40,X38))))))) => 25.32/4.25 ((![X54]: 25.32/4.25 ((?[X56]: in(X56,X54)) => 25.32/4.25 (?[X58]: 25.32/4.25 ((~(?[X60]: (in(X60,X54) & in(X60,X58)))) & in(X58,X54))))) => 25.32/4.25 ((![X62]: 25.32/4.25 (?[X64]: 25.32/4.25 ((![X66]: 25.32/4.25 (((![X68]: (in(X68,X66) => in(X68,X62))) & 25.32/4.25 (?[X70]: in(X70,X66))) => 25.32/4.25 (?[X72,X74]: 25.32/4.25 ((![X76]: 25.32/4.25 (in(X76,X64) => 25.32/4.25 ((![X78]: (in(X78,X76) => in(X78,X72))) | 25.32/4.25 in(X74,X76)))) & 25.32/4.25 (~(?[X80]: (in(X80,X66) & in(X80,X72)))) & 25.32/4.25 in(X74,X66) & in(X72,X64))))) & 25.32/4.25 (![X82,X84]: 25.32/4.25 ((in(X82,X64) & in(X84,X64)) => 25.32/4.25 ((![X86]: (in(X86,X82) => in(X86,X84))) | 25.32/4.25 (![X88]: (in(X88,X84) => in(X88,X82)))))) & 25.32/4.25 (![X90,X92]: 25.32/4.25 ((in(X90,X62) & in(X92,X62)) => 25.32/4.25 ((![X94]: 25.32/4.25 (in(X94,X64) => (in(X90,X94) <=> in(X92,X94)))) => 25.32/4.25 (X90 = X92)))) & 25.32/4.25 (![X96]: 25.32/4.25 (in(X96,X64) => 25.32/4.25 (![X98]: (in(X98,X96) => in(X98,X62)))))))) => 25.32/4.25 ((![X100:(($i > $o))]: 25.32/4.25 ((?[X102]: 25.32/4.25 ((![X104]: (X100(X104) => (X102 = X104))) & X100(X102))) => 25.32/4.25 X100(descr(^[V_1]: X100(V_1))))) => 25.32/4.25 ((![X106,X108:(($i > $o)),X110]: 25.32/4.25 (in(X110,X106) => 25.32/4.25 (X108(X110) => 25.32/4.25 in(X110,dsetconstr(X106,^[V_2]: X108(V_2)))))) => 25.32/4.25 ((![X112,X114:(($i > $o)),X116]: 25.32/4.25 (in(X116,dsetconstr(X112,^[V_3]: X114(V_3))) => 25.32/4.25 in(X116,X112))) => 25.32/4.25 ((![X118,X120:(($i > $o)),X122]: 25.32/4.25 (in(X122,dsetconstr(X118,^[V_4]: X120(V_4))) => 25.32/4.25 X120(X122))) => 25.32/4.25 ((![X124:(($i > $o))]: 25.32/4.25 ((?[X126]: 25.32/4.25 ((![X128]: (X124(X128) => (X126 = X128))) & 25.32/4.25 X124(X126))) => 25.32/4.25 (?[X130]: 25.32/4.25 ((![X132]: (X124(X132) => (X130 = X132))) & 25.32/4.25 X124(X130))))) => 25.32/4.25 ((![X134:$o,X136]: (in(X136,prop2set(X134)) => X134)) => 25.32/4.25 ((![X138]: (in(X138,emptyset) => (![X140:$o]: X140))) => 25.32/4.25 ((![X142]: (~in(X142,emptyset))) => 25.32/4.25 ((![X144]: (~in(X144,emptyset))) => 25.32/4.25 ((![X146:(($i > $o))]: 25.32/4.25 ((?[X148]: 25.32/4.25 ((![X150]: (X146(X150) => (X148 = X150))) & 25.32/4.25 X146(X148))) => 25.32/4.25 (?[X152]: X146(X152)))) => 25.32/4.25 ((![X154,X156]: 25.32/4.25 ((![X158]: (in(X158,X154) => in(X158,X156))) => 25.32/4.25 ((![X160]: (in(X160,X156) => in(X160,X154))) => 25.32/4.25 (X154 = X156)))) => 25.32/4.25 ((![X162]: 25.32/4.25 ((![X164]: (~in(X164,X162))) => 25.32/4.25 (X162 = emptyset))) => 25.32/4.25 ((![X166]: 25.32/4.25 ((![X168]: (~in(X168,X166))) => 25.32/4.25 (X166 = emptyset))) => 25.32/4.25 ((![X170,X172:(($i > $o)),X174]: 25.32/4.25 (in(X174,X170) => 25.32/4.25 (in(X174,dsetconstr(X170,^[V_5]: X172(V_5))) <=> 25.32/4.25 X172(X174)))) => 25.32/4.25 ((![X176]: 25.32/4.25 ((X176 != emptyset) => 25.32/4.25 (?[X178]: in(X178,X176)))) => 25.32/4.25 ((![X180,X182:(($i > $o)),X184]: 25.32/4.25 (in(X184,X180) => 25.32/4.25 (X182(X184) => 25.32/4.25 (dsetconstr(X180,^[V_6]: X182(V_6)) != 25.32/4.25 emptyset)))) => 25.32/4.25 ((![X186]: 25.32/4.25 ((?[X188]: in(X188,X186)) => 25.32/4.25 (X186 != emptyset))) => 25.32/4.25 ((![X190,X192]: in(X190,setadjoin(X190,X192))) => 25.32/4.25 (in(emptyset,setadjoin(emptyset,emptyset)) => 25.32/4.25 ((![X194,X196,X198]: 25.32/4.25 (in(X198,X196) => 25.32/4.25 in(X198,setadjoin(X194,X196)))) => 25.32/4.25 ((![X200,X202,X204]: 25.32/4.25 (in(X204,setadjoin(X200,X202)) => 25.32/4.25 (![X206:$o]: 25.32/4.25 (((X204 = X200) => X206) => 25.32/4.25 ((in(X204,X202) => X206) => X206))))) => 25.32/4.25 ((![X208,X210,X212]: 25.32/4.25 (in(X212,setadjoin(X208,X210)) => 25.32/4.25 ((X212 = X208) | in(X212,X210)))) => 25.32/4.25 ((![X214]: 25.32/4.25 (dsetconstr(X214,^[V_7]: $true) = 25.32/4.25 X214)) => 25.32/4.25 ((![X216,X218]: 25.32/4.25 ((![X220]: 25.32/4.25 (in(X220,X218) => in(X220,X216))) => 25.32/4.25 in(X218,powerset(X216)))) => 25.32/4.25 ((![X222]: in(emptyset,powerset(X222))) => 25.32/4.25 ((![X224]: 25.32/4.25 in(emptyset,powerset(X224))) => 25.32/4.25 ((![X226,X228,X230]: 25.32/4.25 (in(X228,powerset(X226)) => 25.32/4.25 (in(X230,X228) => in(X230,X226)))) => 25.32/4.25 ((![X232,X234,X236]: 25.32/4.25 (in(X234,X236) => 25.32/4.25 (in(X236,X232) => 25.32/4.25 in(X234,setunion(X232))))) => 25.32/4.25 ((![X238,X240]: 25.32/4.25 (in(X240,setunion(X238)) => 25.32/4.25 (![X242:$o]: 25.32/4.25 ((![X244]: 25.32/4.25 (in(X240,X244) => 25.32/4.25 (in(X244,X238) => 25.32/4.25 X242))) => 25.32/4.25 X242)))) => 25.32/4.25 ((![X246,X248]: 25.32/4.25 (in(X248,X246) => 25.32/4.25 in(X248, 25.32/4.25 powerset(setunion(X246))))) => 25.32/4.25 ((![X250:(($i > $o))]: 25.32/4.25 ((?[X252]: 25.32/4.25 ((![X254]: 25.32/4.25 (X250(X254) => 25.32/4.25 (X252 = X254))) & 25.32/4.25 X250(X252))) => 25.32/4.25 (?[X256]: 25.32/4.25 (![X258]: 25.32/4.25 (X250(X258) <=> 25.32/4.25 (X258 = X256)))))) => 25.32/4.25 ((![X260]: 25.32/4.25 ((X260 != emptyset) => 25.32/4.25 (?[X262]: in(X262,X260)))) => 25.32/4.25 ((![X264,X266]: 25.32/4.25 (in(X264, 25.32/4.25 setadjoin(X266, 25.32/4.25 emptyset)) => 25.32/4.25 (X264 = X266))) => 25.32/4.25 ((![X268,X270]: 25.32/4.25 ((X268 != X270) => 25.32/4.25 (~ 25.32/4.25 in(X270, 25.32/4.25 setadjoin(X268, 25.32/4.25 emptyset))))) => 25.32/4.25 ((![X272,X274]: 25.32/4.25 ((X272 = X274) => 25.32/4.25 in(X272, 25.32/4.25 setadjoin(X274, 25.32/4.25 emptyset)))) => 25.32/4.25 ((![X276,X278]: 25.32/4.25 (in(X276, 25.32/4.25 setadjoin(X278, 25.32/4.25 emptyset)) => 25.32/4.25 in(X278, 25.32/4.25 setadjoin(X276, 25.32/4.25 emptyset)))) => 25.32/4.25 ((![X280,X282,X284]: 25.32/4.25 (in(X284, 25.32/4.25 setadjoin( 25.32/4.25 X280, 25.32/4.25 setadjoin( 25.32/4.25 X282,emptyset))) => 25.32/4.25 ((X284 = X280) | 25.32/4.25 (X284 = X282)))) => 25.32/4.25 ((![X286,X288]: 25.32/4.25 in(X286, 25.32/4.25 setadjoin( 25.32/4.25 X286, 25.32/4.25 setadjoin( 25.32/4.25 X288,emptyset)))) => 25.32/4.25 ((![X290,X292]: 25.32/4.25 in(X292, 25.32/4.25 setadjoin( 25.32/4.25 X290, 25.32/4.25 setadjoin( 25.32/4.25 X292,emptyset)))) => 25.32/4.25 ((![X294, 25.32/4.25 X296:(($i > $o))]: 25.32/4.25 ((?[X298]: 25.32/4.25 (X296(X298) & 25.32/4.25 in(X298,X294))) => 25.32/4.25 (dsetconstr( 25.32/4.25 X294, 25.32/4.25 ^[V_8]: X296(V_8)) != 25.32/4.25 emptyset))) => 25.32/4.25 ((![X300:(($i > $o)), 25.32/4.25 X302]: 25.32/4.25 (in(X302,emptyset) => 25.32/4.25 X300(X302))) => 25.32/4.25 ((![X304, 25.32/4.25 X306:(($i > $o))]: 25.32/4.25 ((~ 25.32/4.25 (![X308]: 25.32/4.25 (in( 25.32/4.25 X308,X304) => 25.32/4.25 X306(X308)))) => 25.32/4.25 (?[X310]: 25.32/4.25 ((~X306(X310)) & 25.32/4.25 in(X310,X304))))) => 25.32/4.25 ((![X312, 25.32/4.25 X314:(($i > $o))]: 25.32/4.25 ((![X316]: 25.32/4.25 (in( 25.32/4.25 X316,X312) => 25.32/4.25 (~ 25.32/4.25 X314( 25.32/4.25 X316)))) => 25.32/4.25 (~ 25.32/4.25 (?[X318]: 25.32/4.25 (X314( 25.32/4.25 X318) & 25.32/4.25 in( 25.32/4.25 X318,X312)))))) => 25.32/4.25 ((![X320, 25.32/4.25 X322:(($i > $o))]: 25.32/4.25 ((~ 25.32/4.25 (?[X324]: 25.32/4.25 ( 25.32/4.25 X322( 25.32/4.25 X324) & 25.32/4.25 in( 25.32/4.25 X324,X320)))) => 25.32/4.25 (![X326]: 25.32/4.25 (in( 25.32/4.25 X326,X320) => 25.32/4.25 (~ 25.32/4.25 X322( 25.32/4.25 X326)))))) => 25.32/4.25 ((![X328, 25.32/4.25 X330:( 25.32/4.25 ($i > $o))]: 25.32/4.25 ((?[X332]: 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 X330( 25.32/4.25 X332)) & 25.32/4.25 in( 25.32/4.25 X332,X328))) => 25.32/4.25 (~ 25.32/4.25 (![X334]: 25.32/4.25 (in( 25.32/4.25 X334,X328) => 25.32/4.25 X330( 25.32/4.25 X334)))))) => 25.32/4.25 ((![X336:$o]: 25.32/4.25 (X336 => 25.32/4.25 in(emptyset, 25.32/4.25 prop2set( 25.32/4.25 X336)))) => 25.32/4.25 ((![X338:$o]: 25.32/4.25 (X338 => 25.32/4.25 set2prop( 25.32/4.25 prop2set( 25.32/4.25 X338)))) => 25.32/4.25 ((![X340, 25.32/4.25 X342:( 25.32/4.25 ($i > $o))]: 25.32/4.25 ((~ 25.32/4.25 ( 25.32/4.25 ?[X344]: 25.32/4.25 (X342( 25.32/4.25 X344) & 25.32/4.25 in( 25.32/4.25 X344,X340)))) => 25.32/4.25 (![X346]: 25.32/4.25 (in( 25.32/4.25 X346,X340) => 25.32/4.25 (~ 25.32/4.25 X342( 25.32/4.25 X346)))))) => 25.32/4.25 ((![X348, 25.32/4.25 X350:( 25.32/4.25 ($i > $o))]: 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 ( 25.32/4.25 ![X352]: 25.32/4.25 (in( 25.32/4.25 X352,X348) => 25.32/4.25 X350( 25.32/4.25 X352)))) => 25.32/4.25 ( 25.32/4.25 ?[X354]: 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 X350( 25.32/4.25 X354)) & 25.32/4.25 in( 25.32/4.25 X354,X348))))) => 25.32/4.25 ((![X356:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ?[X358]: 25.32/4.25 (( 25.32/4.25 ![X360]: 25.32/4.25 (X356( 25.32/4.25 X360) => 25.32/4.25 (X358 = 25.32/4.25 X360))) & 25.32/4.25 X356( 25.32/4.25 X358))) => 25.32/4.25 ( 25.32/4.25 ?[X362]: 25.32/4.25 (( 25.32/4.25 ![X364]: 25.32/4.25 (X356( 25.32/4.25 X364) => 25.32/4.25 (X362 = 25.32/4.25 X364))) & 25.32/4.25 X356( 25.32/4.25 X362))))) => 25.32/4.25 ((![X366:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (( 25.32/4.25 ?[X368]: 25.32/4.25 X366( 25.32/4.25 X368)) => 25.32/4.25 (( 25.32/4.25 ![X370, 25.32/4.25 X372]: 25.32/4.25 (X366( 25.32/4.25 X370) => 25.32/4.25 (X366( 25.32/4.25 X372) => 25.32/4.25 (X370 = 25.32/4.25 X372)))) => 25.32/4.25 (?[X374]: 25.32/4.25 (( 25.32/4.25 ![X376]: 25.32/4.25 (X366( 25.32/4.25 X376) => 25.32/4.25 (X374 = 25.32/4.25 X376))) & 25.32/4.25 X366( 25.32/4.25 X374)))))) => 25.32/4.25 ((![X378:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (( 25.32/4.25 ?[X380]: 25.32/4.25 (![X382]: 25.32/4.25 (X378( 25.32/4.25 X382) <=> 25.32/4.25 (X382 = 25.32/4.25 X380)))) => 25.32/4.25 (?[X384]: 25.32/4.25 (( 25.32/4.25 ![X386]: 25.32/4.25 (X378( 25.32/4.25 X386) => 25.32/4.25 (X384 = 25.32/4.25 X386))) & 25.32/4.25 X378( 25.32/4.25 X384))))) => 25.32/4.25 (( 25.32/4.25 ![X388, 25.32/4.25 X390]: 25.32/4.25 (( 25.32/4.25 X388 = 25.32/4.25 X390) => 25.32/4.25 (![X392, 25.32/4.25 X394]: 25.32/4.25 (( 25.32/4.25 X392 = 25.32/4.25 X394) => 25.32/4.25 (in( 25.32/4.25 X392,X388) => 25.32/4.25 in( 25.32/4.25 X394,X390)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X396, 25.32/4.25 X398]: 25.32/4.25 (( 25.32/4.25 X396 = 25.32/4.25 X398) => 25.32/4.25 (![X400, 25.32/4.25 X402]: 25.32/4.25 (( 25.32/4.25 X400 = 25.32/4.25 X402) => 25.32/4.25 (in( 25.32/4.25 X400,X396) <=> 25.32/4.25 in( 25.32/4.25 X402,X398)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X404:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (( 25.32/4.25 ?[X406]: 25.32/4.25 (( 25.32/4.25 ![X408]: 25.32/4.25 (X404( 25.32/4.25 X408) => 25.32/4.25 (X406 = 25.32/4.25 X408))) & 25.32/4.25 X404( 25.32/4.25 X406))) => 25.32/4.25 (![X410, 25.32/4.25 X412]: 25.32/4.25 (X404( 25.32/4.25 X410) => 25.32/4.25 (X404( 25.32/4.25 X412) => 25.32/4.25 (X410 = 25.32/4.25 X412)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X414:( 25.32/4.25 ( 25.32/4.25 $i > $o)), 25.32/4.25 X416:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (( 25.32/4.25 ![X418, 25.32/4.25 X420]: 25.32/4.25 (( 25.32/4.25 X418 = 25.32/4.25 X420) => 25.32/4.25 (X414( 25.32/4.25 X418) <=> 25.32/4.25 X416( 25.32/4.25 X420)))) => 25.32/4.25 (( 25.32/4.25 ?[X422]: 25.32/4.25 zip_tseitin_5( 25.32/4.25 X422,X414)) <=> 25.32/4.25 (?[X426]: 25.32/4.25 zip_tseitin_5( 25.32/4.25 X426,X416))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 emptyset = 25.32/4.25 emptyset) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X430, 25.32/4.25 X432]: 25.32/4.25 (( 25.32/4.25 X430 = 25.32/4.25 X432) => 25.32/4.25 (![X434, 25.32/4.25 X436]: 25.32/4.25 (( 25.32/4.25 X434 = 25.32/4.25 X436) => 25.32/4.25 (setadjoin( 25.32/4.25 X430,X434) = 25.32/4.25 setadjoin( 25.32/4.25 X432,X436)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X438, 25.32/4.25 X440]: 25.32/4.25 (( 25.32/4.25 X438 = 25.32/4.25 X440) => 25.32/4.25 (powerset( 25.32/4.25 X438) = 25.32/4.25 powerset( 25.32/4.25 X440)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X442, 25.32/4.25 X444]: 25.32/4.25 (( 25.32/4.25 X442 = 25.32/4.25 X444) => 25.32/4.25 (setunion( 25.32/4.25 X442) = 25.32/4.25 setunion( 25.32/4.25 X444)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 omega = 25.32/4.25 omega) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X446:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (( 25.32/4.25 ?[X448]: 25.32/4.25 (( 25.32/4.25 ![X450]: 25.32/4.25 (X446( 25.32/4.25 X450) => 25.32/4.25 (X448 = 25.32/4.25 X450))) & 25.32/4.25 X446( 25.32/4.25 X448))) => 25.32/4.25 (![X452, 25.32/4.25 X454]: 25.32/4.25 (X446( 25.32/4.25 X452) => 25.32/4.25 (X446( 25.32/4.25 X454) => 25.32/4.25 (X452 = 25.32/4.25 X454)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X456:( 25.32/4.25 ( 25.32/4.25 $i > $o)), 25.32/4.25 X458:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (( 25.32/4.25 ![X460, 25.32/4.25 X462]: 25.32/4.25 (( 25.32/4.25 X460 = 25.32/4.25 X462) => 25.32/4.25 (X456( 25.32/4.25 X460) <=> 25.32/4.25 X458( 25.32/4.25 X462)))) => 25.32/4.25 (( 25.32/4.25 ?[X464]: 25.32/4.25 (( 25.32/4.25 ![X466]: 25.32/4.25 (X456( 25.32/4.25 X466) => 25.32/4.25 (X464 = 25.32/4.25 X466))) & 25.32/4.25 X456( 25.32/4.25 X464))) => 25.32/4.25 (( 25.32/4.25 ?[X468]: 25.32/4.25 (( 25.32/4.25 ![X470]: 25.32/4.25 (X458( 25.32/4.25 X470) => 25.32/4.25 (X468 = 25.32/4.25 X470))) & 25.32/4.25 X458( 25.32/4.25 X468))) => 25.32/4.25 (descr( 25.32/4.25 ^[V_9]: 25.32/4.25 X456(V_9)) = 25.32/4.25 descr( 25.32/4.25 ^[V_10]: 25.32/4.25 X458( 25.32/4.25 V_10))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X472, 25.32/4.25 X474]: 25.32/4.25 (( 25.32/4.25 X472 = 25.32/4.25 X474) => 25.32/4.25 (![X476:( 25.32/4.25 ( 25.32/4.25 $i > $o)), 25.32/4.25 X478:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (( 25.32/4.25 ![X480]: 25.32/4.25 (in( 25.32/4.25 X480,X472) => 25.32/4.25 (![X482]: 25.32/4.25 (in( 25.32/4.25 X482,X474) => 25.32/4.25 (( 25.32/4.25 X480 = 25.32/4.25 X482) => 25.32/4.25 (X476( 25.32/4.25 X480) <=> 25.32/4.25 X478( 25.32/4.25 X482))))))) => 25.32/4.25 (dsetconstr( 25.32/4.25 X472, 25.32/4.25 ^[V_11]: 25.32/4.25 X476( 25.32/4.25 V_11)) = 25.32/4.25 dsetconstr( 25.32/4.25 X474, 25.32/4.25 ^[V_12]: 25.32/4.25 X478( 25.32/4.25 V_12))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X484, 25.32/4.25 X486]: 25.32/4.25 (( 25.32/4.25 ![X488]: 25.32/4.25 (in( 25.32/4.25 X488,X484) => 25.32/4.25 in( 25.32/4.25 X488,X486))) => 25.32/4.25 subset( 25.32/4.25 X484,X486))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X490, 25.32/4.25 X492]: 25.32/4.25 (( 25.32/4.25 X490 = 25.32/4.25 X492) => 25.32/4.25 subset( 25.32/4.25 X492,X490))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X494, 25.32/4.25 X496]: 25.32/4.25 (( 25.32/4.25 X494 = 25.32/4.25 X496) => 25.32/4.25 subset( 25.32/4.25 X494,X496))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X498, 25.32/4.25 X500]: 25.32/4.25 (( 25.32/4.25 ![X502]: 25.32/4.25 (in( 25.32/4.25 X502,X498) => 25.32/4.25 in( 25.32/4.25 X502,X500))) => 25.32/4.25 subset( 25.32/4.25 X498,X500))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X504]: 25.32/4.25 subset( 25.32/4.25 emptyset, 25.32/4.25 X504)) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X506, 25.32/4.25 X508,X510]: 25.32/4.25 (subset( 25.32/4.25 X506,X508) => 25.32/4.25 (in( 25.32/4.25 X510,X506) => 25.32/4.25 in( 25.32/4.25 X510,X508)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X512, 25.32/4.25 X514,X516]: 25.32/4.25 (subset( 25.32/4.25 X512,X514) => 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X516,X514)) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X516,X512))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X518, 25.32/4.25 X520,X522]: 25.32/4.25 (in( 25.32/4.25 X522,X518) => 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X522,X520)) => 25.32/4.25 (~ 25.32/4.25 subset( 25.32/4.25 X518,X520))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X524, 25.32/4.25 X526]: 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 subset( 25.32/4.25 X524,X526)) => 25.32/4.25 (X524 != 25.32/4.25 X526))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X528, 25.32/4.25 X530,X532]: 25.32/4.25 (in( 25.32/4.25 X532,X528) => 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X532,X530)) => 25.32/4.25 (X528 != 25.32/4.25 X530)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X534]: 25.32/4.25 subset( 25.32/4.25 X534,X534)) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X536, 25.32/4.25 X538,X540]: 25.32/4.25 (subset( 25.32/4.25 X536,X538) => 25.32/4.25 (subset( 25.32/4.25 X538,X540) => 25.32/4.25 subset( 25.32/4.25 X536,X540)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X542, 25.32/4.25 X544]: 25.32/4.25 subset( 25.32/4.25 X544, 25.32/4.25 setadjoin( 25.32/4.25 X542,X544))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X546, 25.32/4.25 X548,X550]: 25.32/4.25 (subset( 25.32/4.25 X546,X550) => 25.32/4.25 subset( 25.32/4.25 X546, 25.32/4.25 setadjoin( 25.32/4.25 X548,X550)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X552, 25.32/4.25 X554]: 25.32/4.25 (subset( 25.32/4.25 X552,X554) => 25.32/4.25 in( 25.32/4.25 X552, 25.32/4.25 powerset( 25.32/4.25 X554)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X556, 25.32/4.25 X558]: 25.32/4.25 (subset( 25.32/4.25 X556,X558) => 25.32/4.25 (subset( 25.32/4.25 X558,X556) => 25.32/4.25 (X556 = 25.32/4.25 X558)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X560]: 25.32/4.25 (subset( 25.32/4.25 X560, 25.32/4.25 emptyset) => 25.32/4.25 (X560 = 25.32/4.25 emptyset))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X562, 25.32/4.25 X564]: 25.32/4.25 (subset( 25.32/4.25 X564,X562) => 25.32/4.25 in( 25.32/4.25 X564, 25.32/4.25 powerset( 25.32/4.25 X562)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X566, 25.32/4.25 X568]: 25.32/4.25 (in( 25.32/4.25 X568, 25.32/4.25 powerset( 25.32/4.25 X566)) => 25.32/4.25 subset( 25.32/4.25 X568,X566))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X570]: 25.32/4.25 in( 25.32/4.25 X570, 25.32/4.25 powerset( 25.32/4.25 X570))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X572, 25.32/4.25 X574]: 25.32/4.25 (subset( 25.32/4.25 X572,X574) => 25.32/4.25 subset( 25.32/4.25 powerset( 25.32/4.25 X572), 25.32/4.25 powerset( 25.32/4.25 X574)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X576, 25.32/4.25 X578:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 in( 25.32/4.25 dsetconstr( 25.32/4.25 X576, 25.32/4.25 ^[V_13]: 25.32/4.25 X578( 25.32/4.25 V_13)), 25.32/4.25 powerset( 25.32/4.25 X576))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X580, 25.32/4.25 X582:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 subset( 25.32/4.25 dsetconstr( 25.32/4.25 X580, 25.32/4.25 ^[V_14]: 25.32/4.25 X582( 25.32/4.25 V_14)), 25.32/4.25 X580)) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X584, 25.32/4.25 X586,X588]: 25.32/4.25 (in( 25.32/4.25 X588,X584) => 25.32/4.25 in( 25.32/4.25 X588, 25.32/4.25 binunion( 25.32/4.25 X584,X586)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X590, 25.32/4.25 X592]: 25.32/4.25 in( 25.32/4.25 X592, 25.32/4.25 setadjoin( 25.32/4.25 X590, 25.32/4.25 setadjoin( 25.32/4.25 X592, 25.32/4.25 emptyset)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X594, 25.32/4.25 X596,X598]: 25.32/4.25 (in( 25.32/4.25 X598,X596) => 25.32/4.25 in( 25.32/4.25 X598, 25.32/4.25 binunion( 25.32/4.25 X594,X596)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X600, 25.32/4.25 X602, 25.32/4.25 X604, 25.32/4.25 X606:$o]: 25.32/4.25 (in( 25.32/4.25 X604, 25.32/4.25 binunion( 25.32/4.25 X600,X602)) => 25.32/4.25 (( 25.32/4.25 in( 25.32/4.25 X604,X600) => 25.32/4.25 X606) => 25.32/4.25 (( 25.32/4.25 in( 25.32/4.25 X604,X602) => 25.32/4.25 X606) => 25.32/4.25 X606)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X608, 25.32/4.25 X610,X612]: 25.32/4.25 (in( 25.32/4.25 X612, 25.32/4.25 binunion( 25.32/4.25 X608,X610)) => 25.32/4.25 (in( 25.32/4.25 X612,X608) | 25.32/4.25 in( 25.32/4.25 X612,X610)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X614, 25.32/4.25 X616]: 25.32/4.25 subset( 25.32/4.25 X614, 25.32/4.25 binunion( 25.32/4.25 X614,X616))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X618, 25.32/4.25 X620]: 25.32/4.25 subset( 25.32/4.25 X620, 25.32/4.25 binunion( 25.32/4.25 X618,X620))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X622, 25.32/4.25 X624,X626]: 25.32/4.25 (in( 25.32/4.25 X626,X622) => 25.32/4.25 (in( 25.32/4.25 X626,X624) => 25.32/4.25 in( 25.32/4.25 X626, 25.32/4.25 binintersect( 25.32/4.25 X622,X624))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X628, 25.32/4.25 X630,X632]: 25.32/4.25 (subset( 25.32/4.25 X632,X628) => 25.32/4.25 (subset( 25.32/4.25 X632,X630) => 25.32/4.25 subset( 25.32/4.25 X632, 25.32/4.25 binintersect( 25.32/4.25 X628,X630))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X634, 25.32/4.25 X636,X638]: 25.32/4.25 (in( 25.32/4.25 X638, 25.32/4.25 binintersect( 25.32/4.25 X634,X636)) => 25.32/4.25 in( 25.32/4.25 X638,X634))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X640, 25.32/4.25 X642]: 25.32/4.25 subset( 25.32/4.25 binintersect( 25.32/4.25 X640,X642), 25.32/4.25 X640)) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X644, 25.32/4.25 X646]: 25.32/4.25 (subset( 25.32/4.25 X644,X646) => 25.32/4.25 (binintersect( 25.32/4.25 X644,X646) = 25.32/4.25 X644))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X648, 25.32/4.25 X650]: 25.32/4.25 (( 25.32/4.25 binintersect( 25.32/4.25 X648,X650) = 25.32/4.25 X650) => 25.32/4.25 subset( 25.32/4.25 X650,X648))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X652, 25.32/4.25 X654,X656]: 25.32/4.25 (in( 25.32/4.25 X656, 25.32/4.25 binintersect( 25.32/4.25 X652,X654)) => 25.32/4.25 in( 25.32/4.25 X656,X654))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X658, 25.32/4.25 X660]: 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 ( 25.32/4.25 ?[X662]: 25.32/4.25 (in( 25.32/4.25 X662,X660) & 25.32/4.25 in( 25.32/4.25 X662,X658)))) => 25.32/4.25 (binintersect( 25.32/4.25 X658,X660) = 25.32/4.25 emptyset))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X664, 25.32/4.25 X666]: 25.32/4.25 subset( 25.32/4.25 binintersect( 25.32/4.25 X664,X666), 25.32/4.25 X666)) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X668, 25.32/4.25 X670]: 25.32/4.25 (subset( 25.32/4.25 X670,X668) => 25.32/4.25 (binintersect( 25.32/4.25 X668,X670) = 25.32/4.25 X670))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X672, 25.32/4.25 X674]: 25.32/4.25 (( 25.32/4.25 binintersect( 25.32/4.25 X672,X674) = 25.32/4.25 X672) => 25.32/4.25 subset( 25.32/4.25 X672,X674))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X676, 25.32/4.25 X678,X680]: 25.32/4.25 (binintersect( 25.32/4.25 X676, 25.32/4.25 binunion( 25.32/4.25 X678,X680)) = 25.32/4.25 binunion( 25.32/4.25 binintersect( 25.32/4.25 X676,X678), 25.32/4.25 binintersect( 25.32/4.25 X676,X680)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X682, 25.32/4.25 X684,X686]: 25.32/4.25 (in( 25.32/4.25 X686,X682) => 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X686,X684)) => 25.32/4.25 in( 25.32/4.25 X686, 25.32/4.25 setminus( 25.32/4.25 X682,X684))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X688, 25.32/4.25 X690,X692]: 25.32/4.25 (in( 25.32/4.25 X692, 25.32/4.25 setminus( 25.32/4.25 X688,X690)) => 25.32/4.25 in( 25.32/4.25 X692,X688))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X694, 25.32/4.25 X696,X698]: 25.32/4.25 (in( 25.32/4.25 X698, 25.32/4.25 setminus( 25.32/4.25 X694,X696)) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X698,X696)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X700, 25.32/4.25 X702]: 25.32/4.25 (subset( 25.32/4.25 X700,X702) => 25.32/4.25 (setminus( 25.32/4.25 X700,X702) = 25.32/4.25 emptyset))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X704, 25.32/4.25 X706,X708]: 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X708, 25.32/4.25 setminus( 25.32/4.25 X704,X706))) => 25.32/4.25 (in( 25.32/4.25 X708,X704) => 25.32/4.25 in( 25.32/4.25 X708,X706)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X710, 25.32/4.25 X712,X714]: 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X714, 25.32/4.25 setminus( 25.32/4.25 X710,X712))) => 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X714,X712)) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X714,X710))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X716, 25.32/4.25 X718,X720]: 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X720,X716)) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X720, 25.32/4.25 setminus( 25.32/4.25 X716,X718))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X722, 25.32/4.25 X724,X726]: 25.32/4.25 (in( 25.32/4.25 X726,X724) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X726, 25.32/4.25 setminus( 25.32/4.25 X722,X724))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X728, 25.32/4.25 X730]: 25.32/4.25 subset( 25.32/4.25 setminus( 25.32/4.25 X728,X730), 25.32/4.25 X728)) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X732, 25.32/4.25 X734]: 25.32/4.25 (( 25.32/4.25 setminus( 25.32/4.25 X732,X734) = 25.32/4.25 emptyset) => 25.32/4.25 subset( 25.32/4.25 X732,X734))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X736, 25.32/4.25 X738,X740]: 25.32/4.25 (in( 25.32/4.25 X740, 25.32/4.25 symdiff( 25.32/4.25 X736,X738)) => 25.32/4.25 (![X742:$o]: 25.32/4.25 (( 25.32/4.25 in( 25.32/4.25 X740,X736) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X740,X738)) => 25.32/4.25 X742)) => 25.32/4.25 (( 25.32/4.25 ( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X740,X736)) => 25.32/4.25 ( 25.32/4.25 in( 25.32/4.25 X740,X738) => 25.32/4.25 X742)) => 25.32/4.25 X742))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X744, 25.32/4.25 X746,X748]: 25.32/4.25 (in( 25.32/4.25 X748,X744) => 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X748,X746)) => 25.32/4.25 in( 25.32/4.25 X748, 25.32/4.25 symdiff( 25.32/4.25 X744,X746))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X750, 25.32/4.25 X752,X754]: 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X754,X750)) => 25.32/4.25 (in( 25.32/4.25 X754,X752) => 25.32/4.25 in( 25.32/4.25 X754, 25.32/4.25 symdiff( 25.32/4.25 X750,X752))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X756, 25.32/4.25 X758,X760]: 25.32/4.25 (in( 25.32/4.25 X760,X756) => 25.32/4.25 (in( 25.32/4.25 X760,X758) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X760, 25.32/4.25 symdiff( 25.32/4.25 X756,X758)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X762, 25.32/4.25 X764,X766]: 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X766,X762)) => 25.32/4.25 (( 25.32/4.25 ~ 25.32/4.25 in( 25.32/4.25 X766,X764)) => 25.32/4.25 (~ 25.32/4.25 in( 25.32/4.25 X766, 25.32/4.25 symdiff( 25.32/4.25 X762,X764)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X768, 25.32/4.25 X770]: 25.32/4.25 in( 25.32/4.25 X770, 25.32/4.25 setadjoin( 25.32/4.25 X768, 25.32/4.25 setadjoin( 25.32/4.25 X770, 25.32/4.25 emptyset)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X772, 25.32/4.25 X774]: 25.32/4.25 in( 25.32/4.25 X772, 25.32/4.25 setunion( 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X772, 25.32/4.25 emptyset), 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X772, 25.32/4.25 setadjoin( 25.32/4.25 X774, 25.32/4.25 emptyset)), 25.32/4.25 emptyset))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X776, 25.32/4.25 X778]: 25.32/4.25 in( 25.32/4.25 X778, 25.32/4.25 setunion( 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X776, 25.32/4.25 emptyset), 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X776, 25.32/4.25 setadjoin( 25.32/4.25 X778, 25.32/4.25 emptyset)), 25.32/4.25 emptyset))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X780, 25.32/4.25 X782]: 25.32/4.25 iskpair( 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X780, 25.32/4.25 emptyset), 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X780, 25.32/4.25 setadjoin( 25.32/4.25 X782, 25.32/4.25 emptyset)), 25.32/4.25 emptyset)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X784, 25.32/4.25 X786]: 25.32/4.25 iskpair( 25.32/4.25 kpair( 25.32/4.25 X784,X786))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X788, 25.32/4.25 X790]: 25.32/4.25 (in( 25.32/4.25 X790,X788) => 25.32/4.25 subset( 25.32/4.25 setadjoin( 25.32/4.25 X790, 25.32/4.25 emptyset), 25.32/4.25 X788))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X792, 25.32/4.25 X794]: 25.32/4.25 (in( 25.32/4.25 X794,X792) => 25.32/4.25 in( 25.32/4.25 setadjoin( 25.32/4.25 X794, 25.32/4.25 emptyset), 25.32/4.25 powerset( 25.32/4.25 X792)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X796, 25.32/4.25 X798,X800]: 25.32/4.25 (in( 25.32/4.25 X800,X796) => 25.32/4.25 in( 25.32/4.25 setadjoin( 25.32/4.25 X800, 25.32/4.25 emptyset), 25.32/4.25 powerset( 25.32/4.25 binunion( 25.32/4.25 X796,X798))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X802, 25.32/4.25 X804,X806]: 25.32/4.25 (in( 25.32/4.25 X806, 25.32/4.25 setadjoin( 25.32/4.25 X802, 25.32/4.25 setadjoin( 25.32/4.25 X804, 25.32/4.25 emptyset))) => 25.32/4.25 (( 25.32/4.25 X806 = 25.32/4.25 X802) | 25.32/4.25 (X806 = 25.32/4.25 X804)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X808, 25.32/4.25 X810,X812]: 25.32/4.25 (in( 25.32/4.25 X812,X808) => 25.32/4.25 (![X814]: 25.32/4.25 (in( 25.32/4.25 X814,X810) => 25.32/4.25 subset( 25.32/4.25 setadjoin( 25.32/4.25 X812, 25.32/4.25 setadjoin( 25.32/4.25 X814, 25.32/4.25 emptyset)), 25.32/4.25 binunion( 25.32/4.25 X808,X810)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X816, 25.32/4.25 X818,X820]: 25.32/4.25 (in( 25.32/4.25 X820,X816) => 25.32/4.25 (![X822]: 25.32/4.25 (in( 25.32/4.25 X822,X818) => 25.32/4.25 in( 25.32/4.25 setadjoin( 25.32/4.25 X820, 25.32/4.25 setadjoin( 25.32/4.25 X822, 25.32/4.25 emptyset)), 25.32/4.25 powerset( 25.32/4.25 binunion( 25.32/4.25 X816,X818))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X824, 25.32/4.25 X826,X828]: 25.32/4.25 (in( 25.32/4.25 X828,X824) => 25.32/4.25 (![X830]: 25.32/4.25 (in( 25.32/4.25 X830,X826) => 25.32/4.25 subset( 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X828, 25.32/4.25 emptyset), 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X828, 25.32/4.25 setadjoin( 25.32/4.25 X830, 25.32/4.25 emptyset)), 25.32/4.25 emptyset)), 25.32/4.25 powerset( 25.32/4.25 binunion( 25.32/4.25 X824,X826))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X832, 25.32/4.25 X834,X836]: 25.32/4.25 (in( 25.32/4.25 X836,X832) => 25.32/4.25 (![X838]: 25.32/4.25 (in( 25.32/4.25 X838,X834) => 25.32/4.25 in( 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X836, 25.32/4.25 emptyset), 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X836, 25.32/4.25 setadjoin( 25.32/4.25 X838, 25.32/4.25 emptyset)), 25.32/4.25 emptyset)), 25.32/4.25 powerset( 25.32/4.25 powerset( 25.32/4.25 binunion( 25.32/4.25 X832,X834)))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X840, 25.32/4.25 X842,X844]: 25.32/4.25 (in( 25.32/4.25 X844,X840) => 25.32/4.25 (![X846]: 25.32/4.25 (in( 25.32/4.25 X846,X842) => 25.32/4.25 in( 25.32/4.25 kpair( 25.32/4.25 X844,X846), 25.32/4.25 powerset( 25.32/4.25 powerset( 25.32/4.25 binunion( 25.32/4.25 X840,X842)))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X848, 25.32/4.25 X850,X852]: 25.32/4.25 (in( 25.32/4.25 X852,X848) => 25.32/4.25 (![X854]: 25.32/4.25 (in( 25.32/4.25 X854,X850) => 25.32/4.25 in( 25.32/4.25 kpair( 25.32/4.25 X852,X854), 25.32/4.25 cartprod( 25.32/4.25 X848,X850)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X856, 25.32/4.25 X858,X860]: 25.32/4.25 (in( 25.32/4.25 X860, 25.32/4.25 cartprod( 25.32/4.25 X856,X858)) => 25.32/4.25 (?[X862]: 25.32/4.25 (( 25.32/4.25 ?[X864]: 25.32/4.25 (( 25.32/4.25 X860 = 25.32/4.25 kpair( 25.32/4.25 X862,X864)) & 25.32/4.25 in( 25.32/4.25 X864,X858))) & 25.32/4.25 in( 25.32/4.25 X862,X856))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X866, 25.32/4.25 X868,X870]: 25.32/4.25 (in( 25.32/4.25 X870, 25.32/4.25 cartprod( 25.32/4.25 X866,X868)) => 25.32/4.25 iskpair( 25.32/4.25 X870))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X872, 25.32/4.25 X874]: 25.32/4.25 (in( 25.32/4.25 X874, 25.32/4.25 setunion( 25.32/4.25 X872)) => 25.32/4.25 (?[X876]: 25.32/4.25 (in( 25.32/4.25 X874,X876) & 25.32/4.25 in( 25.32/4.25 X876,X872))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X878]: 25.32/4.25 subset( 25.32/4.25 setunion( 25.32/4.25 setadjoin( 25.32/4.25 X878, 25.32/4.25 emptyset)), 25.32/4.25 X878)) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X880]: 25.32/4.25 subset( 25.32/4.25 X880, 25.32/4.25 setunion( 25.32/4.25 setadjoin( 25.32/4.25 X880, 25.32/4.25 emptyset)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X882]: 25.32/4.25 (setunion( 25.32/4.25 setadjoin( 25.32/4.25 X882, 25.32/4.25 emptyset)) = 25.32/4.25 X882)) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X884, 25.32/4.25 X886:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (( 25.32/4.25 ![X888]: 25.32/4.25 (in( 25.32/4.25 X888,X884) => 25.32/4.25 (![X890]: 25.32/4.25 (in( 25.32/4.25 X890,X884) => 25.32/4.25 (X886( 25.32/4.25 X888) => 25.32/4.25 (X886( 25.32/4.25 X890) => 25.32/4.25 (X888 = 25.32/4.25 X890))))))) => 25.32/4.25 (( 25.32/4.25 ?[X892]: 25.32/4.25 (X886( 25.32/4.25 X892) & 25.32/4.25 in( 25.32/4.25 X892,X884))) => 25.32/4.25 singleton( 25.32/4.25 dsetconstr( 25.32/4.25 X884, 25.32/4.25 ^[V_15]: 25.32/4.25 X886( 25.32/4.25 V_15)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X894, 25.32/4.25 X896:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (singleton( 25.32/4.25 dsetconstr( 25.32/4.25 X894, 25.32/4.25 ^[V_16]: 25.32/4.25 X896( 25.32/4.25 V_16))) => 25.32/4.25 (?[X898]: 25.32/4.25 (X896( 25.32/4.25 X898) & 25.32/4.25 in( 25.32/4.25 X898,X894))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X900, 25.32/4.25 X902:( 25.32/4.25 ( 25.32/4.25 $i > $o)), 25.32/4.25 X904]: 25.32/4.25 (in( 25.32/4.25 X904,X900) => 25.32/4.25 (X902( 25.32/4.25 X904) => 25.32/4.25 (( 25.32/4.25 ![X906]: 25.32/4.25 (in( 25.32/4.25 X906,X900) => 25.32/4.25 (X902( 25.32/4.25 X906) => 25.32/4.25 (X906 = 25.32/4.25 X904)))) => 25.32/4.25 singleton( 25.32/4.25 dsetconstr( 25.32/4.25 X900, 25.32/4.25 ^[V_17]: 25.32/4.25 X902( 25.32/4.25 V_17))))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X908, 25.32/4.25 X910:( 25.32/4.25 ( 25.32/4.25 $i > $o))]: 25.32/4.25 (( 25.32/4.25 ![X912]: 25.32/4.25 (in( 25.32/4.25 X912,X908) => 25.32/4.25 (![X914]: 25.32/4.25 (in( 25.32/4.25 X914,X908) => 25.32/4.25 (X910( 25.32/4.25 X912) => 25.32/4.25 (X910( 25.32/4.25 X914) => 25.32/4.25 (X912 = 25.32/4.25 X914))))))) => 25.32/4.25 (( 25.32/4.25 ?[X916]: 25.32/4.25 (X910( 25.32/4.25 X916) & 25.32/4.25 in( 25.32/4.25 X916,X908))) => 25.32/4.25 singleton( 25.32/4.25 dsetconstr( 25.32/4.25 X908, 25.32/4.25 ^[V_18]: 25.32/4.25 X910( 25.32/4.25 V_18)))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X918, 25.32/4.25 X920]: 25.32/4.25 (( 25.32/4.25 setadjoin( 25.32/4.25 X918, 25.32/4.25 emptyset) = 25.32/4.25 setadjoin( 25.32/4.25 X920, 25.32/4.25 emptyset)) => 25.32/4.25 (X918 = 25.32/4.25 X920))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X922, 25.32/4.25 X924,X926]: 25.32/4.25 (in( 25.32/4.25 setadjoin( 25.32/4.25 X926, 25.32/4.25 emptyset), 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X922, 25.32/4.25 emptyset), 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X922, 25.32/4.25 setadjoin( 25.32/4.25 X924, 25.32/4.25 emptyset)), 25.32/4.25 emptyset))) => 25.32/4.25 (X922 = 25.32/4.25 X926))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X928]: 25.32/4.25 (iskpair( 25.32/4.25 X928) => 25.32/4.25 singleton( 25.32/4.25 dsetconstr( 25.32/4.25 setunion( 25.32/4.25 X928), 25.32/4.25 ^[V_19]: 25.32/4.25 in( 25.32/4.25 setadjoin( 25.32/4.25 V_19, 25.32/4.25 emptyset), 25.32/4.25 X928))))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X930]: 25.32/4.25 (singleton( 25.32/4.25 X930) => 25.32/4.25 in( 25.32/4.25 setunion( 25.32/4.25 X930), 25.32/4.25 X930))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X932, 25.32/4.25 X934]: 25.32/4.25 (kfst( 25.32/4.25 kpair( 25.32/4.25 X932,X934)) = 25.32/4.25 X932)) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X936, 25.32/4.25 X938,X940]: 25.32/4.25 (in( 25.32/4.25 X940, 25.32/4.25 cartprod( 25.32/4.25 X936,X938)) => 25.32/4.25 in( 25.32/4.25 kfst( 25.32/4.25 X940), 25.32/4.25 X936))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X942, 25.32/4.25 X944, 25.32/4.25 X946,X948]: 25.32/4.25 (( 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X942, 25.32/4.25 emptyset), 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X942, 25.32/4.25 setadjoin( 25.32/4.25 X944, 25.32/4.25 emptyset)), 25.32/4.25 emptyset)) = 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X946, 25.32/4.25 emptyset), 25.32/4.25 setadjoin( 25.32/4.25 setadjoin( 25.32/4.25 X946, 25.32/4.25 setadjoin( 25.32/4.25 X948, 25.32/4.25 emptyset)), 25.32/4.25 emptyset))) => 25.32/4.25 (X942 = 25.32/4.25 X946))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X950, 25.32/4.25 X952, 25.32/4.25 X954,X956]: 25.32/4.25 (( 25.32/4.25 kpair( 25.32/4.25 X950,X952) = 25.32/4.25 kpair( 25.32/4.25 X954,X956)) => 25.32/4.25 (X950 = 25.32/4.25 X954))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X958, 25.32/4.25 X960]: 25.32/4.25 (( 25.32/4.25 X958 = 25.32/4.25 X960) => 25.32/4.25 (setadjoin( 25.32/4.25 X958, 25.32/4.25 setadjoin( 25.32/4.25 X960, 25.32/4.25 emptyset)) = 25.32/4.25 setadjoin( 25.32/4.25 X958, 25.32/4.25 emptyset)))) => 25.32/4.25 ( 25.32/4.25 ( 25.32/4.25 ![X962, 25.32/4.25 X964]: 25.32/4.25 (( 25.32/4.25 X962 = 25.32/4.25 X964) => 25.32/4.25 (setadjoin( 25.32/4.26 setadjoin( 25.32/4.26 X962, 25.32/4.26 emptyset), 25.32/4.26 setadjoin( 25.32/4.26 setadjoin( 25.32/4.26 X962, 25.32/4.26 setadjoin( 25.32/4.26 X964, 25.32/4.26 emptyset)), 25.32/4.26 emptyset)) = 25.32/4.26 setadjoin( 25.32/4.26 setadjoin( 25.32/4.26 X962, 25.32/4.26 emptyset), 25.32/4.26 emptyset)))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X966, 25.32/4.26 X968, 25.32/4.26 X970,X972]: 25.32/4.26 (( 25.32/4.26 setadjoin( 25.32/4.26 setadjoin( 25.32/4.26 X966, 25.32/4.26 emptyset), 25.32/4.26 setadjoin( 25.32/4.26 setadjoin( 25.32/4.26 X966, 25.32/4.26 setadjoin( 25.32/4.26 X968, 25.32/4.26 emptyset)), 25.32/4.26 emptyset)) = 25.32/4.26 setadjoin( 25.32/4.26 setadjoin( 25.32/4.26 X970, 25.32/4.26 emptyset), 25.32/4.26 setadjoin( 25.32/4.26 setadjoin( 25.32/4.26 X970, 25.32/4.26 setadjoin( 25.32/4.26 X972, 25.32/4.26 emptyset)), 25.32/4.26 emptyset))) => 25.32/4.26 (( 25.32/4.26 X970 = 25.32/4.26 X972) => 25.32/4.26 (X968 = 25.32/4.26 X972)))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X974, 25.32/4.26 X976,X978]: 25.32/4.26 (( 25.32/4.26 setadjoin( 25.32/4.26 X974, 25.32/4.26 setadjoin( 25.32/4.26 X976, 25.32/4.26 emptyset)) = 25.32/4.26 setadjoin( 25.32/4.26 X978, 25.32/4.26 emptyset)) => 25.32/4.26 (X974 = 25.32/4.26 X976))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X980, 25.32/4.26 X982, 25.32/4.26 X984,X986]: 25.32/4.26 (( 25.32/4.26 setadjoin( 25.32/4.26 setadjoin( 25.32/4.26 X980, 25.32/4.26 emptyset), 25.32/4.26 setadjoin( 25.32/4.26 setadjoin( 25.32/4.26 X980, 25.32/4.26 setadjoin( 25.32/4.26 X982, 25.32/4.26 emptyset)), 25.32/4.26 emptyset)) = 25.32/4.26 setadjoin( 25.32/4.26 setadjoin( 25.32/4.26 X984, 25.32/4.26 emptyset), 25.32/4.26 setadjoin( 25.32/4.26 setadjoin( 25.32/4.26 X984, 25.32/4.26 setadjoin( 25.32/4.26 X986, 25.32/4.26 emptyset)), 25.32/4.26 emptyset))) => 25.32/4.26 (X982 = 25.32/4.26 X986))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X988, 25.32/4.26 X990, 25.32/4.26 X992,X994]: 25.32/4.26 (( 25.32/4.26 kpair( 25.32/4.26 X988,X990) = 25.32/4.26 kpair( 25.32/4.26 X992,X994)) => 25.32/4.26 (X990 = 25.32/4.26 X994))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X996]: 25.32/4.26 (iskpair( 25.32/4.26 X996) => 25.32/4.26 singleton( 25.32/4.26 dsetconstr( 25.32/4.26 setunion( 25.32/4.26 X996), 25.32/4.26 ^[V_20]: 25.32/4.26 (X996 = 25.32/4.26 kpair( 25.32/4.26 kfst( 25.32/4.26 X996), 25.32/4.26 V_20)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X998, 25.32/4.26 X1000]: 25.32/4.26 (ksnd( 25.32/4.26 kpair( 25.32/4.26 X998, 25.32/4.26 X1000)) = 25.32/4.26 X1000)) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1002]: 25.32/4.26 (iskpair( 25.32/4.26 X1002) => 25.32/4.26 (kpair( 25.32/4.26 kfst( 25.32/4.26 X1002), 25.32/4.26 ksnd( 25.32/4.26 X1002)) = 25.32/4.26 X1002))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1004, 25.32/4.26 X1006, 25.32/4.26 X1008]: 25.32/4.26 (in( 25.32/4.26 X1008, 25.32/4.26 cartprod( 25.32/4.26 X1004, 25.32/4.26 X1006)) => 25.32/4.26 in( 25.32/4.26 ksnd( 25.32/4.26 X1008), 25.32/4.26 X1006))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1010, 25.32/4.26 X1012, 25.32/4.26 X1014, 25.32/4.26 X1016]: 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1014, 25.32/4.26 X1016), 25.32/4.26 cartprod( 25.32/4.26 X1010, 25.32/4.26 X1012)) => 25.32/4.26 in( 25.32/4.26 X1014, 25.32/4.26 X1010))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1018, 25.32/4.26 X1020, 25.32/4.26 X1022, 25.32/4.26 X1024]: 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1022, 25.32/4.26 X1024), 25.32/4.26 cartprod( 25.32/4.26 X1018, 25.32/4.26 X1020)) => 25.32/4.26 in( 25.32/4.26 X1024, 25.32/4.26 X1020))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1026, 25.32/4.26 X1028, 25.32/4.26 X1030]: 25.32/4.26 (in( 25.32/4.26 X1030, 25.32/4.26 X1026) => 25.32/4.26 (![X1032]: 25.32/4.26 (in( 25.32/4.26 X1032, 25.32/4.26 X1028) => 25.32/4.26 (kpair( 25.32/4.26 X1030, 25.32/4.26 X1032) = 25.32/4.26 kpair( 25.32/4.26 X1030, 25.32/4.26 X1032)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1034, 25.32/4.26 X1036, 25.32/4.26 X1038]: 25.32/4.26 (in( 25.32/4.26 X1038, 25.32/4.26 X1034) => 25.32/4.26 (![X1040]: 25.32/4.26 (in( 25.32/4.26 X1040, 25.32/4.26 X1036) => 25.32/4.26 (kfst( 25.32/4.26 kpair( 25.32/4.26 X1038, 25.32/4.26 X1040)) = 25.32/4.26 X1038))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1042, 25.32/4.26 X1044, 25.32/4.26 X1046]: 25.32/4.26 (in( 25.32/4.26 X1046, 25.32/4.26 X1042) => 25.32/4.26 (![X1048]: 25.32/4.26 (in( 25.32/4.26 X1048, 25.32/4.26 X1044) => 25.32/4.26 (ksnd( 25.32/4.26 kpair( 25.32/4.26 X1046, 25.32/4.26 X1048)) = 25.32/4.26 X1048))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1050, 25.32/4.26 X1052, 25.32/4.26 X1054]: 25.32/4.26 (in( 25.32/4.26 X1054, 25.32/4.26 cartprod( 25.32/4.26 X1050, 25.32/4.26 X1052)) => 25.32/4.26 (kpair( 25.32/4.26 kfst( 25.32/4.26 X1054), 25.32/4.26 ksnd( 25.32/4.26 X1054)) = 25.32/4.26 X1054))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1056, 25.32/4.26 X1058, 25.32/4.26 X1060:( 25.32/4.26 ($i * $i) > 25.32/4.26 $o),X1062]: 25.32/4.26 (in( 25.32/4.26 X1062, 25.32/4.26 X1056) => 25.32/4.26 (![X1064]: 25.32/4.26 (in( 25.32/4.26 X1064, 25.32/4.26 X1058) => 25.32/4.26 (X1060( 25.32/4.26 X1062, 25.32/4.26 X1064) => 25.32/4.26 in( 25.32/4.26 kpair( 25.32/4.26 X1062, 25.32/4.26 X1064), 25.32/4.26 dpsetconstr( 25.32/4.26 X1056, 25.32/4.26 X1058, 25.32/4.26 ^[V_21, 25.32/4.26 V_22]: 25.32/4.26 X1060( 25.32/4.26 V_21,V_22)))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1066, 25.32/4.26 X1068, 25.32/4.26 X1070:( 25.32/4.26 ($i * $i) > 25.32/4.26 $o)]: 25.32/4.26 subset( 25.32/4.26 dpsetconstr( 25.32/4.26 X1066, 25.32/4.26 X1068, 25.32/4.26 ^[V_23, 25.32/4.26 V_24]: 25.32/4.26 X1070( 25.32/4.26 V_23,V_24)), 25.32/4.26 cartprod( 25.32/4.26 X1066, 25.32/4.26 X1068))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1072, 25.32/4.26 X1074, 25.32/4.26 X1076:( 25.32/4.26 ($i * $i) > 25.32/4.26 $o)]: 25.32/4.26 subset( 25.32/4.26 dpsetconstr( 25.32/4.26 X1072, 25.32/4.26 X1074, 25.32/4.26 ^[V_25, 25.32/4.26 V_26]: 25.32/4.26 X1076( 25.32/4.26 V_25,V_26)), 25.32/4.26 cartprod( 25.32/4.26 X1072, 25.32/4.26 X1074))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1078, 25.32/4.26 X1080, 25.32/4.26 X1082:( 25.32/4.26 ($i * $i) > 25.32/4.26 $o),X1084]: 25.32/4.26 (in( 25.32/4.26 X1084, 25.32/4.26 X1078) => 25.32/4.26 (![X1086]: 25.32/4.26 (in( 25.32/4.26 X1086, 25.32/4.26 X1080) => 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1084, 25.32/4.26 X1086), 25.32/4.26 dpsetconstr( 25.32/4.26 X1078, 25.32/4.26 X1080, 25.32/4.26 ^[V_27, 25.32/4.26 V_28]: 25.32/4.26 X1082( 25.32/4.26 V_27,V_28))) => 25.32/4.26 X1082( 25.32/4.26 X1084, 25.32/4.26 X1086)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1088, 25.32/4.26 X1090, 25.32/4.26 X1092:( 25.32/4.26 ($i * $i) > 25.32/4.26 $o), 25.32/4.26 X1094, 25.32/4.26 X1096]: 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1094, 25.32/4.26 X1096), 25.32/4.26 dpsetconstr( 25.32/4.26 X1088, 25.32/4.26 X1090, 25.32/4.26 ^[V_29, 25.32/4.26 V_30]: 25.32/4.26 X1092( 25.32/4.26 V_29,V_30))) => 25.32/4.26 in( 25.32/4.26 X1094, 25.32/4.26 X1088))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1098, 25.32/4.26 X1100, 25.32/4.26 X1102:( 25.32/4.26 ($i * $i) > 25.32/4.26 $o), 25.32/4.26 X1104, 25.32/4.26 X1106]: 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1104, 25.32/4.26 X1106), 25.32/4.26 dpsetconstr( 25.32/4.26 X1098, 25.32/4.26 X1100, 25.32/4.26 ^[V_31, 25.32/4.26 V_32]: 25.32/4.26 X1102( 25.32/4.26 V_31,V_32))) => 25.32/4.26 in( 25.32/4.26 X1106, 25.32/4.26 X1100))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1108, 25.32/4.26 X1110, 25.32/4.26 X1112:( 25.32/4.26 ($i * $i) > 25.32/4.26 $o), 25.32/4.26 X1114, 25.32/4.26 X1116]: 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1114, 25.32/4.26 X1116), 25.32/4.26 dpsetconstr( 25.32/4.26 X1108, 25.32/4.26 X1110, 25.32/4.26 ^[V_33, 25.32/4.26 V_34]: 25.32/4.26 X1112( 25.32/4.26 V_33,V_34))) => 25.32/4.26 X1112( 25.32/4.26 X1114, 25.32/4.26 X1116))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1118, 25.32/4.26 X1120, 25.32/4.26 X1122]: 25.32/4.26 (func( 25.32/4.26 X1118, 25.32/4.26 X1120, 25.32/4.26 X1122) => 25.32/4.26 (![X1124]: 25.32/4.26 (in( 25.32/4.26 X1124, 25.32/4.26 X1118) => 25.32/4.26 singleton( 25.32/4.26 dsetconstr( 25.32/4.26 X1120, 25.32/4.26 ^[V_35]: 25.32/4.26 in( 25.32/4.26 kpair( 25.32/4.26 X1124, 25.32/4.26 V_35), 25.32/4.26 X1122))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1126, 25.32/4.26 X1128, 25.32/4.26 X1130]: 25.32/4.26 (func( 25.32/4.26 X1126, 25.32/4.26 X1128, 25.32/4.26 X1130) => 25.32/4.26 (![X1132]: 25.32/4.26 (in( 25.32/4.26 X1132, 25.32/4.26 X1126) => 25.32/4.26 in( 25.32/4.26 setunion( 25.32/4.26 dsetconstr( 25.32/4.26 X1128, 25.32/4.26 ^[V_36]: 25.32/4.26 in( 25.32/4.26 kpair( 25.32/4.26 X1132, 25.32/4.26 V_36), 25.32/4.26 X1130))), 25.32/4.26 X1128))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1134, 25.32/4.26 X1136, 25.32/4.26 X1138]: 25.32/4.26 (func( 25.32/4.26 X1134, 25.32/4.26 X1136, 25.32/4.26 X1138) => 25.32/4.26 (![X1140]: 25.32/4.26 (in( 25.32/4.26 X1140, 25.32/4.26 X1134) => 25.32/4.26 in( 25.32/4.26 ap( 25.32/4.26 X1134, 25.32/4.26 X1136, 25.32/4.26 X1138, 25.32/4.26 X1140), 25.32/4.26 X1136))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1142, 25.32/4.26 X1144, 25.32/4.26 X1146]: 25.32/4.26 (in( 25.32/4.26 X1146, 25.32/4.26 funcSet( 25.32/4.26 X1142, 25.32/4.26 X1144)) => 25.32/4.26 func( 25.32/4.26 X1142, 25.32/4.26 X1144, 25.32/4.26 X1146))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1148, 25.32/4.26 X1150, 25.32/4.26 X1152]: 25.32/4.26 (in( 25.32/4.26 X1152, 25.32/4.26 funcSet( 25.32/4.26 X1148, 25.32/4.26 X1150)) => 25.32/4.26 (![X1154]: 25.32/4.26 (in( 25.32/4.26 X1154, 25.32/4.26 X1148) => 25.32/4.26 in( 25.32/4.26 ap( 25.32/4.26 X1148, 25.32/4.26 X1150, 25.32/4.26 X1152, 25.32/4.26 X1154), 25.32/4.26 X1150))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1156, 25.32/4.26 X1158, 25.32/4.26 X1160]: 25.32/4.26 (func( 25.32/4.26 X1156, 25.32/4.26 X1158, 25.32/4.26 X1160) => 25.32/4.26 in( 25.32/4.26 X1160, 25.32/4.26 funcSet( 25.32/4.26 X1156, 25.32/4.26 X1158)))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1162, 25.32/4.26 X1164, 25.32/4.26 X1166:( 25.32/4.26 ( 25.32/4.26 $i > $i))]: 25.32/4.26 (( 25.32/4.26 ![X1168]: 25.32/4.26 (in( 25.32/4.26 X1168, 25.32/4.26 X1162) => 25.32/4.26 in( 25.32/4.26 X1166( 25.32/4.26 X1168), 25.32/4.26 X1164))) => 25.32/4.26 func( 25.32/4.26 X1162, 25.32/4.26 X1164, 25.32/4.26 dpsetconstr( 25.32/4.26 X1162, 25.32/4.26 X1164, 25.32/4.26 ^[V_37, 25.32/4.26 V_38]: 25.32/4.26 (X1166( 25.32/4.26 V_37) = 25.32/4.26 V_38))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1170, 25.32/4.26 X1172, 25.32/4.26 X1174:( 25.32/4.26 ( 25.32/4.26 $i > $i))]: 25.32/4.26 (( 25.32/4.26 ![X1176]: 25.32/4.26 (in( 25.32/4.26 X1176, 25.32/4.26 X1170) => 25.32/4.26 in( 25.32/4.26 X1174( 25.32/4.26 X1176), 25.32/4.26 X1172))) => 25.32/4.26 func( 25.32/4.26 X1170, 25.32/4.26 X1172, 25.32/4.26 lam( 25.32/4.26 X1170, 25.32/4.26 X1172, 25.32/4.26 ^[V_39]: 25.32/4.26 X1174( 25.32/4.26 V_39))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1178, 25.32/4.26 X1180, 25.32/4.26 X1182:( 25.32/4.26 ( 25.32/4.26 $i > $i))]: 25.32/4.26 (( 25.32/4.26 ![X1184]: 25.32/4.26 (in( 25.32/4.26 X1184, 25.32/4.26 X1178) => 25.32/4.26 in( 25.32/4.26 X1182( 25.32/4.26 X1184), 25.32/4.26 X1180))) => 25.32/4.26 in( 25.32/4.26 lam( 25.32/4.26 X1178, 25.32/4.26 X1180, 25.32/4.26 ^[V_40]: 25.32/4.26 X1182( 25.32/4.26 V_40)), 25.32/4.26 funcSet( 25.32/4.26 X1178, 25.32/4.26 X1180)))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1186, 25.32/4.26 X1188, 25.32/4.26 X1190]: 25.32/4.26 (subset( 25.32/4.26 X1190, 25.32/4.26 cartprod( 25.32/4.26 X1186, 25.32/4.26 X1188)) => 25.32/4.26 (![X1192:( 25.32/4.26 ( 25.32/4.26 $i > $o))]: 25.32/4.26 (( 25.32/4.26 ![X1194]: 25.32/4.26 (in( 25.32/4.26 X1194, 25.32/4.26 X1186) => 25.32/4.26 (![X1196]: 25.32/4.26 (in( 25.32/4.26 X1196, 25.32/4.26 X1188) => 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1194, 25.32/4.26 X1196), 25.32/4.26 X1190) => 25.32/4.26 X1192( 25.32/4.26 kpair( 25.32/4.26 X1194, 25.32/4.26 X1196))))))) => 25.32/4.26 (![X1198]: 25.32/4.26 (in( 25.32/4.26 X1198, 25.32/4.26 X1190) => 25.32/4.26 X1192( 25.32/4.26 X1198))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1200, 25.32/4.26 X1202, 25.32/4.26 X1204]: 25.32/4.26 (subset( 25.32/4.26 X1204, 25.32/4.26 cartprod( 25.32/4.26 X1200, 25.32/4.26 X1202)) => 25.32/4.26 (![X1206:( 25.32/4.26 ( 25.32/4.26 $i > $o))]: 25.32/4.26 (( 25.32/4.26 ![X1208]: 25.32/4.26 (in( 25.32/4.26 X1208, 25.32/4.26 X1200) => 25.32/4.26 (![X1210]: 25.32/4.26 (in( 25.32/4.26 X1210, 25.32/4.26 X1202) => 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1208, 25.32/4.26 X1210), 25.32/4.26 X1204) => 25.32/4.26 X1206( 25.32/4.26 kpair( 25.32/4.26 X1208, 25.32/4.26 X1210))))))) => 25.32/4.26 (![X1212]: 25.32/4.26 (in( 25.32/4.26 X1212, 25.32/4.26 X1204) => 25.32/4.26 X1206( 25.32/4.26 X1212))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1214, 25.32/4.26 X1216:( 25.32/4.26 ( 25.32/4.26 $i > $o))]: 25.32/4.26 (singleton( 25.32/4.26 dsetconstr( 25.32/4.26 X1214, 25.32/4.26 ^[V_41]: 25.32/4.26 X1216( 25.32/4.26 V_41))) => 25.32/4.26 (![X1218]: 25.32/4.26 (in( 25.32/4.26 X1218, 25.32/4.26 X1214) => 25.32/4.26 (![X1220]: 25.32/4.26 (in( 25.32/4.26 X1220, 25.32/4.26 X1214) => 25.32/4.26 (X1216( 25.32/4.26 X1218) => 25.32/4.26 (X1216( 25.32/4.26 X1220) => 25.32/4.26 (X1218 = 25.32/4.26 X1220))))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1222, 25.32/4.26 X1224, 25.32/4.26 X1226]: 25.32/4.26 (func( 25.32/4.26 X1222, 25.32/4.26 X1224, 25.32/4.26 X1226) => 25.32/4.26 (![X1228]: 25.32/4.26 (in( 25.32/4.26 X1228, 25.32/4.26 X1222) => 25.32/4.26 in( 25.32/4.26 kpair( 25.32/4.26 X1228, 25.32/4.26 ap( 25.32/4.26 X1222, 25.32/4.26 X1224, 25.32/4.26 X1226, 25.32/4.26 X1228)), 25.32/4.26 X1226))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1230, 25.32/4.26 X1232, 25.32/4.26 X1234]: 25.32/4.26 (in( 25.32/4.26 X1234, 25.32/4.26 funcSet( 25.32/4.26 X1230, 25.32/4.26 X1232)) => 25.32/4.26 (![X1236]: 25.32/4.26 (in( 25.32/4.26 X1236, 25.32/4.26 X1230) => 25.32/4.26 in( 25.32/4.26 kpair( 25.32/4.26 X1236, 25.32/4.26 ap( 25.32/4.26 X1230, 25.32/4.26 X1232, 25.32/4.26 X1234, 25.32/4.26 X1236)), 25.32/4.26 X1234))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1238, 25.32/4.26 X1240, 25.32/4.26 X1242]: 25.32/4.26 (func( 25.32/4.26 X1238, 25.32/4.26 X1240, 25.32/4.26 X1242) => 25.32/4.26 (![X1244]: 25.32/4.26 (in( 25.32/4.26 X1244, 25.32/4.26 X1238) => 25.32/4.26 (![X1246]: 25.32/4.26 (in( 25.32/4.26 X1246, 25.32/4.26 X1240) => 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1244, 25.32/4.26 X1246), 25.32/4.26 X1242) => 25.32/4.26 (ap( 25.32/4.26 X1238, 25.32/4.26 X1240, 25.32/4.26 X1242, 25.32/4.26 X1244) = 25.32/4.26 X1246)))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1248, 25.32/4.26 X1250, 25.32/4.26 X1252]: 25.32/4.26 (func( 25.32/4.26 X1248, 25.32/4.26 X1250, 25.32/4.26 X1252) => 25.32/4.26 (![X1254]: 25.32/4.26 (func( 25.32/4.26 X1248, 25.32/4.26 X1250, 25.32/4.26 X1254) => 25.32/4.26 (( 25.32/4.26 ![X1256]: 25.32/4.26 (in( 25.32/4.26 X1256, 25.32/4.26 X1248) => 25.32/4.26 (ap( 25.32/4.26 X1248, 25.32/4.26 X1250, 25.32/4.26 X1252, 25.32/4.26 X1256) = 25.32/4.26 ap( 25.32/4.26 X1248, 25.32/4.26 X1250, 25.32/4.26 X1254, 25.32/4.26 X1256)))) => 25.32/4.26 (![X1258]: 25.32/4.26 (in( 25.32/4.26 X1258, 25.32/4.26 X1248) => 25.32/4.26 (![X1260]: 25.32/4.26 (in( 25.32/4.26 X1260, 25.32/4.26 X1250) => 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1258, 25.32/4.26 X1260), 25.32/4.26 X1254) => 25.32/4.26 in( 25.32/4.26 kpair( 25.32/4.26 X1258, 25.32/4.26 X1260), 25.32/4.26 X1252))))))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1262, 25.32/4.26 X1264, 25.32/4.26 X1266]: 25.32/4.26 (in( 25.32/4.26 X1266, 25.32/4.26 funcSet( 25.32/4.26 X1262, 25.32/4.26 X1264)) => 25.32/4.26 (![X1268]: 25.32/4.26 (in( 25.32/4.26 X1268, 25.32/4.26 X1262) => 25.32/4.26 (![X1270]: 25.32/4.26 (in( 25.32/4.26 X1270, 25.32/4.26 X1264) => 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1268, 25.32/4.26 X1270), 25.32/4.26 X1266) => 25.32/4.26 (ap( 25.32/4.26 X1262, 25.32/4.26 X1264, 25.32/4.26 X1266, 25.32/4.26 X1268) = 25.32/4.26 X1270)))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1272, 25.32/4.26 X1274, 25.32/4.26 X1276]: 25.32/4.26 (subset( 25.32/4.26 X1276, 25.32/4.26 cartprod( 25.32/4.26 X1272, 25.32/4.26 X1274)) => 25.32/4.26 (![X1278]: 25.32/4.26 (subset( 25.32/4.26 X1278, 25.32/4.26 cartprod( 25.32/4.26 X1272, 25.32/4.26 X1274)) => 25.32/4.26 (( 25.32/4.26 ![X1280]: 25.32/4.26 (in( 25.32/4.26 X1280, 25.32/4.26 X1272) => 25.32/4.26 (![X1282]: 25.32/4.26 (in( 25.32/4.26 X1282, 25.32/4.26 X1274) => 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1280, 25.32/4.26 X1282), 25.32/4.26 X1276) => 25.32/4.26 in( 25.32/4.26 kpair( 25.32/4.26 X1280, 25.32/4.26 X1282), 25.32/4.26 X1278)))))) => 25.32/4.26 subset( 25.32/4.26 X1276, 25.32/4.26 X1278)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1284, 25.32/4.26 X1286, 25.32/4.26 X1288]: 25.32/4.26 (subset( 25.32/4.26 X1288, 25.32/4.26 cartprod( 25.32/4.26 X1284, 25.32/4.26 X1286)) => 25.32/4.26 (![X1290]: 25.32/4.26 (subset( 25.32/4.26 X1290, 25.32/4.26 cartprod( 25.32/4.26 X1284, 25.32/4.26 X1286)) => 25.32/4.26 (( 25.32/4.26 ![X1292]: 25.32/4.26 (in( 25.32/4.26 X1292, 25.32/4.26 X1284) => 25.32/4.26 (![X1294]: 25.32/4.26 (in( 25.32/4.26 X1294, 25.32/4.26 X1286) => 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1292, 25.32/4.26 X1294), 25.32/4.26 X1288) => 25.32/4.26 in( 25.32/4.26 kpair( 25.32/4.26 X1292, 25.32/4.26 X1294), 25.32/4.26 X1290)))))) => 25.32/4.26 (( 25.32/4.26 ![X1296]: 25.32/4.26 (in( 25.32/4.26 X1296, 25.32/4.26 X1284) => 25.32/4.26 (![X1298]: 25.32/4.26 (in( 25.32/4.26 X1298, 25.32/4.26 X1286) => 25.32/4.26 (in( 25.32/4.26 kpair( 25.32/4.26 X1296, 25.32/4.26 X1298), 25.32/4.26 X1290) => 25.32/4.26 in( 25.32/4.26 kpair( 25.32/4.26 X1296, 25.32/4.26 X1298), 25.32/4.26 X1288)))))) => 25.32/4.26 (X1288 = 25.32/4.26 X1290))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1300, 25.32/4.26 X1302, 25.32/4.26 X1304]: 25.32/4.26 (func( 25.32/4.26 X1300, 25.32/4.26 X1302, 25.32/4.26 X1304) => 25.32/4.26 (![X1306]: 25.32/4.26 (func( 25.32/4.26 X1300, 25.32/4.26 X1302, 25.32/4.26 X1306) => 25.32/4.26 (( 25.32/4.26 ![X1308]: 25.32/4.26 (in( 25.32/4.26 X1308, 25.32/4.26 X1300) => 25.32/4.26 (ap( 25.32/4.26 X1300, 25.32/4.26 X1302, 25.32/4.26 X1304, 25.32/4.26 X1308) = 25.32/4.26 ap( 25.32/4.26 X1300, 25.32/4.26 X1302, 25.32/4.26 X1306, 25.32/4.26 X1308)))) => 25.32/4.26 (X1304 = 25.32/4.26 X1306)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1310, 25.32/4.26 X1312, 25.32/4.26 X1314]: 25.32/4.26 (in( 25.32/4.26 X1314, 25.32/4.26 funcSet( 25.32/4.26 X1310, 25.32/4.26 X1312)) => 25.32/4.26 (![X1316]: 25.32/4.26 (in( 25.32/4.26 X1316, 25.32/4.26 funcSet( 25.32/4.26 X1310, 25.32/4.26 X1312)) => 25.32/4.26 (( 25.32/4.26 ![X1318]: 25.32/4.26 (in( 25.32/4.26 X1318, 25.32/4.26 X1310) => 25.32/4.26 (ap( 25.32/4.26 X1310, 25.32/4.26 X1312, 25.32/4.26 X1314, 25.32/4.26 X1318) = 25.32/4.26 ap( 25.32/4.26 X1310, 25.32/4.26 X1312, 25.32/4.26 X1316, 25.32/4.26 X1318)))) => 25.32/4.26 (X1314 = 25.32/4.26 X1316)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1320, 25.32/4.26 X1322, 25.32/4.26 X1324]: 25.32/4.26 (in( 25.32/4.26 X1324, 25.32/4.26 funcSet( 25.32/4.26 X1320, 25.32/4.26 X1322)) => 25.32/4.26 (![X1326]: 25.32/4.26 (in( 25.32/4.26 X1326, 25.32/4.26 X1320) => 25.32/4.26 (ap( 25.32/4.26 X1320, 25.32/4.26 X1322, 25.32/4.26 X1324, 25.32/4.26 X1326) = 25.32/4.26 ap( 25.32/4.26 X1320, 25.32/4.26 X1322, 25.32/4.26 X1324, 25.32/4.26 X1326)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1328, 25.32/4.26 X1330, 25.32/4.26 X1332]: 25.32/4.26 (func( 25.32/4.26 X1328, 25.32/4.26 X1330, 25.32/4.26 X1332) => 25.32/4.26 (![X1334]: 25.32/4.26 (in( 25.32/4.26 X1334, 25.32/4.26 X1328) => 25.32/4.26 (ap( 25.32/4.26 X1328, 25.32/4.26 X1330, 25.32/4.26 X1332, 25.32/4.26 X1334) = 25.32/4.26 ap( 25.32/4.26 X1328, 25.32/4.26 X1330, 25.32/4.26 X1332, 25.32/4.26 X1334)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1336, 25.32/4.26 X1338, 25.32/4.26 X1340:( 25.32/4.26 ( 25.32/4.26 $i > $i))]: 25.32/4.26 (( 25.32/4.26 ![X1342]: 25.32/4.26 (in( 25.32/4.26 X1342, 25.32/4.26 X1336) => 25.32/4.26 in( 25.32/4.26 X1340( 25.32/4.26 X1342), 25.32/4.26 X1338))) => 25.32/4.26 (![X1344]: 25.32/4.26 (in( 25.32/4.26 X1344, 25.32/4.26 X1336) => 25.32/4.26 (ap( 25.32/4.26 X1336, 25.32/4.26 X1338, 25.32/4.26 lam( 25.32/4.26 X1336, 25.32/4.26 X1338, 25.32/4.26 ^[V_42]: 25.32/4.26 X1340( 25.32/4.26 V_42)), 25.32/4.26 X1344) = 25.32/4.26 X1340( 25.32/4.26 X1344)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1346, 25.32/4.26 X1348, 25.32/4.26 X1350]: 25.32/4.26 (func( 25.32/4.26 X1346, 25.32/4.26 X1348, 25.32/4.26 X1350) => 25.32/4.26 (lam( 25.32/4.26 X1346, 25.32/4.26 X1348, 25.32/4.26 ^[V_43]: 25.32/4.26 ap( 25.32/4.26 X1346, 25.32/4.26 X1348, 25.32/4.26 X1350, 25.32/4.26 V_43)) = 25.32/4.26 X1350))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1352, 25.32/4.26 X1354, 25.32/4.26 X1356:( 25.32/4.26 ( 25.32/4.26 $i > $i))]: 25.32/4.26 (( 25.32/4.26 ![X1358]: 25.32/4.26 (in( 25.32/4.26 X1358, 25.32/4.26 X1352) => 25.32/4.26 in( 25.32/4.26 X1356( 25.32/4.26 X1358), 25.32/4.26 X1354))) => 25.32/4.26 (lam( 25.32/4.26 X1352, 25.32/4.26 X1354, 25.32/4.26 ^[V_44]: 25.32/4.26 X1356( 25.32/4.26 V_44)) = 25.32/4.26 lam( 25.32/4.26 X1352, 25.32/4.26 X1354, 25.32/4.26 ^[V_45]: 25.32/4.26 X1356( 25.32/4.26 V_45))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1360, 25.32/4.26 X1362, 25.32/4.26 X1364:( 25.32/4.26 ( 25.32/4.26 $i > $i))]: 25.32/4.26 (( 25.32/4.26 ![X1366]: 25.32/4.26 (in( 25.32/4.26 X1366, 25.32/4.26 X1360) => 25.32/4.26 in( 25.32/4.26 X1364( 25.32/4.26 X1366), 25.32/4.26 X1362))) => 25.32/4.26 (![X1368]: 25.32/4.26 (in( 25.32/4.26 X1368, 25.32/4.26 X1360) => 25.32/4.26 (ap( 25.32/4.26 X1360, 25.32/4.26 X1362, 25.32/4.26 lam( 25.32/4.26 X1360, 25.32/4.26 X1362, 25.32/4.26 ^[V_46]: 25.32/4.26 X1364( 25.32/4.26 V_46)), 25.32/4.26 X1368) = 25.32/4.26 X1364( 25.32/4.26 X1368)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1370, 25.32/4.26 X1372, 25.32/4.26 X1374]: 25.32/4.26 (in( 25.32/4.26 X1374, 25.32/4.26 funcSet( 25.32/4.26 X1370, 25.32/4.26 X1372)) => 25.32/4.26 (lam( 25.32/4.26 X1370, 25.32/4.26 X1372, 25.32/4.26 ^[V_47]: 25.32/4.26 ap( 25.32/4.26 X1370, 25.32/4.26 X1372, 25.32/4.26 X1374, 25.32/4.26 V_47)) = 25.32/4.26 X1374))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1376, 25.32/4.26 X1378:$o, 25.32/4.26 X1380]: 25.32/4.26 (in( 25.32/4.26 X1380, 25.32/4.26 X1376) => 25.32/4.26 (![X1382]: 25.32/4.26 (in( 25.32/4.26 X1382, 25.32/4.26 X1376) => 25.32/4.26 (( 25.32/4.26 ~X1378) => 25.32/4.26 in( 25.32/4.26 X1382, 25.32/4.26 dsetconstr( 25.32/4.26 X1376, 25.32/4.26 ^[V_48]: 25.32/4.26 (( 25.32/4.26 ( 25.32/4.26 V_48 = 25.32/4.26 X1382) & 25.32/4.26 ( 25.32/4.26 ~X1378)) | 25.32/4.26 (( 25.32/4.26 V_48 = 25.32/4.26 X1380) & 25.32/4.26 X1378))))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1384, 25.32/4.26 X1386:$o, 25.32/4.26 X1388]: 25.32/4.26 (in( 25.32/4.26 X1388, 25.32/4.26 X1384) => 25.32/4.26 (![X1390]: 25.32/4.26 (in( 25.32/4.26 X1390, 25.32/4.26 X1384) => 25.32/4.26 (( 25.32/4.26 ~X1386) => 25.32/4.26 (dsetconstr( 25.32/4.26 X1384, 25.32/4.26 ^[V_49]: 25.32/4.26 (( 25.32/4.26 ( 25.32/4.26 V_49 = 25.32/4.26 X1390) & 25.32/4.26 ( 25.32/4.26 ~X1386)) | 25.32/4.26 (( 25.32/4.26 V_49 = 25.32/4.26 X1388) & 25.32/4.26 X1386))) = 25.32/4.26 setadjoin( 25.32/4.26 X1390, 25.32/4.26 emptyset))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1392, 25.32/4.26 X1394:$o, 25.32/4.26 X1396]: 25.32/4.26 (in( 25.32/4.26 X1396, 25.32/4.26 X1392) => 25.32/4.26 (![X1398]: 25.32/4.26 (in( 25.32/4.26 X1398, 25.32/4.26 X1392) => 25.32/4.26 (X1394 => 25.32/4.26 in( 25.32/4.26 X1396, 25.32/4.26 dsetconstr( 25.32/4.26 X1392, 25.32/4.26 ^[V_50]: 25.32/4.26 (( 25.32/4.26 ( 25.32/4.26 V_50 = 25.32/4.26 X1398) & 25.32/4.26 ( 25.32/4.26 ~X1394)) | 25.32/4.26 (( 25.32/4.26 V_50 = 25.32/4.26 X1396) & 25.32/4.26 X1394))))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1400, 25.32/4.26 X1402:$o, 25.32/4.26 X1404]: 25.32/4.26 (in( 25.32/4.26 X1404, 25.32/4.26 X1400) => 25.32/4.26 (![X1406]: 25.32/4.26 (in( 25.32/4.26 X1406, 25.32/4.26 X1400) => 25.32/4.26 (X1402 => 25.32/4.26 (dsetconstr( 25.32/4.26 X1400, 25.32/4.26 ^[V_51]: 25.32/4.26 (( 25.32/4.26 ( 25.32/4.26 V_51 = 25.32/4.26 X1406) & 25.32/4.26 ( 25.32/4.26 ~X1402)) | 25.32/4.26 (( 25.32/4.26 V_51 = 25.32/4.26 X1404) & 25.32/4.26 X1402))) = 25.32/4.26 setadjoin( 25.32/4.26 X1404, 25.32/4.26 emptyset))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1408, 25.32/4.26 X1410:$o, 25.32/4.26 X1412]: 25.32/4.26 (in( 25.32/4.26 X1412, 25.32/4.26 X1408) => 25.32/4.26 (![X1414]: 25.32/4.26 (in( 25.32/4.26 X1414, 25.32/4.26 X1408) => 25.32/4.26 singleton( 25.32/4.26 dsetconstr( 25.32/4.26 X1408, 25.32/4.26 ^[V_52]: 25.32/4.26 (( 25.32/4.26 ( 25.32/4.26 V_52 = 25.32/4.26 X1414) & 25.32/4.26 ( 25.32/4.26 ~X1410)) | 25.32/4.26 (( 25.32/4.26 V_52 = 25.32/4.26 X1412) & 25.32/4.26 X1410)))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1416, 25.32/4.26 X1418:$o, 25.32/4.26 X1420]: 25.32/4.26 (in( 25.32/4.26 X1420, 25.32/4.26 X1416) => 25.32/4.26 (![X1422]: 25.32/4.26 (in( 25.32/4.26 X1422, 25.32/4.26 X1416) => 25.32/4.26 in( 25.32/4.26 if( 25.32/4.26 X1416, 25.32/4.26 X1418, 25.32/4.26 X1420, 25.32/4.26 X1422), 25.32/4.26 X1416))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1424]: 25.32/4.26 (singleton( 25.32/4.26 X1424) => 25.32/4.26 (![X1426]: 25.32/4.26 (in( 25.32/4.26 X1426, 25.32/4.26 X1424) => 25.32/4.26 (setunion( 25.32/4.26 X1424) = 25.32/4.26 X1426))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1428, 25.32/4.26 X1430:$o, 25.32/4.26 X1432]: 25.32/4.26 (in( 25.32/4.26 X1432, 25.32/4.26 X1428) => 25.32/4.26 (![X1434]: 25.32/4.26 (in( 25.32/4.26 X1434, 25.32/4.26 X1428) => 25.32/4.26 (X1430 => 25.32/4.26 (if( 25.32/4.26 X1428, 25.32/4.26 X1430, 25.32/4.26 X1432, 25.32/4.26 X1434) = 25.32/4.26 X1432)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1436, 25.32/4.26 X1438:$o, 25.32/4.26 X1440]: 25.32/4.26 (in( 25.32/4.26 X1440, 25.32/4.26 X1436) => 25.32/4.26 (![X1442]: 25.32/4.26 (in( 25.32/4.26 X1442, 25.32/4.26 X1436) => 25.32/4.26 (( 25.32/4.26 ~X1438) => 25.32/4.26 (if( 25.32/4.26 X1436, 25.32/4.26 X1438, 25.32/4.26 X1440, 25.32/4.26 X1442) = 25.32/4.26 X1442)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1444, 25.32/4.26 X1446:$o, 25.32/4.26 X1448]: 25.32/4.26 (in( 25.32/4.26 X1448, 25.32/4.26 X1444) => 25.32/4.26 (![X1450]: 25.32/4.26 (in( 25.32/4.26 X1450, 25.32/4.26 X1444) => 25.32/4.26 in( 25.32/4.26 if( 25.32/4.26 X1444, 25.32/4.26 X1446, 25.32/4.26 X1448, 25.32/4.26 X1450), 25.32/4.26 setadjoin( 25.32/4.26 X1448, 25.32/4.26 setadjoin( 25.32/4.26 X1450, 25.32/4.26 emptyset))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1452, 25.32/4.26 X1454]: 25.32/4.26 (in( 25.32/4.26 X1454, 25.32/4.26 powerset( 25.32/4.26 X1452)) => 25.32/4.26 (![X1456]: 25.32/4.26 (in( 25.32/4.26 X1456, 25.32/4.26 powerset( 25.32/4.26 X1452)) => 25.32/4.26 in( 25.32/4.26 binintersect( 25.32/4.26 X1454, 25.32/4.26 X1456), 25.32/4.26 powerset( 25.32/4.26 X1452)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1458, 25.32/4.26 X1460]: 25.32/4.26 (in( 25.32/4.26 X1460, 25.32/4.26 powerset( 25.32/4.26 X1458)) => 25.32/4.26 (![X1462]: 25.32/4.26 (in( 25.32/4.26 X1462, 25.32/4.26 powerset( 25.32/4.26 X1458)) => 25.32/4.26 in( 25.32/4.26 binunion( 25.32/4.26 X1460, 25.32/4.26 X1462), 25.32/4.26 powerset( 25.32/4.26 X1458)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1464, 25.32/4.26 X1466]: 25.32/4.26 (in( 25.32/4.26 X1466, 25.32/4.26 powerset( 25.32/4.26 X1464)) => 25.32/4.26 in( 25.32/4.26 powerset( 25.32/4.26 X1466), 25.32/4.26 powerset( 25.32/4.26 powerset( 25.32/4.26 X1464))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1468, 25.32/4.26 X1470]: 25.32/4.26 (in( 25.32/4.26 X1470, 25.32/4.26 powerset( 25.32/4.26 X1468)) => 25.32/4.26 (![X1472]: 25.32/4.26 (in( 25.32/4.26 X1472, 25.32/4.26 powerset( 25.32/4.26 X1468)) => 25.32/4.26 in( 25.32/4.26 setminus( 25.32/4.26 X1470, 25.32/4.26 X1472), 25.32/4.26 powerset( 25.32/4.26 X1468)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1474, 25.32/4.26 X1476]: 25.32/4.26 (in( 25.32/4.26 X1476, 25.32/4.26 powerset( 25.32/4.26 X1474)) => 25.32/4.26 in( 25.32/4.26 setminus( 25.32/4.26 X1474, 25.32/4.26 X1476), 25.32/4.26 powerset( 25.32/4.26 X1474)))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1478, 25.32/4.26 X1480]: 25.32/4.26 (in( 25.32/4.26 X1480, 25.32/4.26 powerset( 25.32/4.26 X1478)) => 25.32/4.26 (![X1482]: 25.32/4.26 (in( 25.32/4.26 X1482, 25.32/4.26 powerset( 25.32/4.26 X1478)) => 25.32/4.26 (( 25.32/4.26 ![X1484]: 25.32/4.26 (in( 25.32/4.26 X1484, 25.32/4.26 X1478) => 25.32/4.26 (in( 25.32/4.26 X1484, 25.32/4.26 X1480) => 25.32/4.26 in( 25.32/4.26 X1484, 25.32/4.26 X1482)))) => 25.32/4.26 (( 25.32/4.26 ![X1486]: 25.32/4.26 (in( 25.32/4.26 X1486, 25.32/4.26 X1478) => 25.32/4.26 (in( 25.32/4.26 X1486, 25.32/4.26 X1482) => 25.32/4.26 in( 25.32/4.26 X1486, 25.32/4.26 X1480)))) => 25.32/4.26 (X1480 = 25.32/4.26 X1482))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1488, 25.32/4.26 X1490]: 25.32/4.26 (in( 25.32/4.26 X1490, 25.32/4.26 powerset( 25.32/4.26 X1488)) => 25.32/4.26 (![X1492]: 25.32/4.26 (in( 25.32/4.26 X1492, 25.32/4.26 powerset( 25.32/4.26 X1488)) => 25.32/4.26 (( 25.32/4.26 ![X1494]: 25.32/4.26 (in( 25.32/4.26 X1494, 25.32/4.26 X1488) => 25.32/4.26 (in( 25.32/4.26 X1494, 25.32/4.26 X1490) => 25.32/4.26 in( 25.32/4.26 X1494, 25.32/4.26 X1492)))) => 25.32/4.26 subset( 25.32/4.26 X1490, 25.32/4.26 X1492)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1496, 25.32/4.26 X1498]: 25.32/4.26 (in( 25.32/4.26 X1498, 25.32/4.26 powerset( 25.32/4.26 X1496)) => 25.32/4.26 (![X1500]: 25.32/4.26 (in( 25.32/4.26 X1500, 25.32/4.26 powerset( 25.32/4.26 X1496)) => 25.32/4.26 (( 25.32/4.26 ![X1502]: 25.32/4.26 (in( 25.32/4.26 X1502, 25.32/4.26 X1496) => 25.32/4.26 (in( 25.32/4.26 X1502, 25.32/4.26 X1498) => 25.32/4.26 in( 25.32/4.26 X1502, 25.32/4.26 X1500)))) => 25.32/4.26 in( 25.32/4.26 X1498, 25.32/4.26 powerset( 25.32/4.26 X1500))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1504, 25.32/4.26 X1506]: 25.32/4.26 (in( 25.32/4.26 X1506, 25.32/4.26 powerset( 25.32/4.26 X1504)) => 25.32/4.26 (![X1508]: 25.32/4.26 (in( 25.32/4.26 X1508, 25.32/4.26 powerset( 25.32/4.26 X1504)) => 25.32/4.26 (![X1510]: 25.32/4.26 (in( 25.32/4.26 X1510, 25.32/4.26 X1504) => 25.32/4.26 (in( 25.32/4.26 X1506, 25.32/4.26 powerset( 25.32/4.26 X1508)) => 25.32/4.26 (in( 25.32/4.26 X1510, 25.32/4.26 X1506) => 25.32/4.26 in( 25.32/4.26 X1510, 25.32/4.26 X1508))))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1512, 25.32/4.26 X1514]: 25.32/4.26 (in( 25.32/4.26 X1514, 25.32/4.26 powerset( 25.32/4.26 X1512)) => 25.32/4.26 (![X1516]: 25.32/4.26 (in( 25.32/4.26 X1516, 25.32/4.26 X1512) => 25.32/4.26 (in( 25.32/4.26 X1516, 25.32/4.26 X1514) => 25.32/4.26 (~ 25.32/4.26 in( 25.32/4.26 X1516, 25.32/4.26 setminus( 25.32/4.26 X1512, 25.32/4.26 X1514)))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1518, 25.32/4.26 X1520]: 25.32/4.26 (in( 25.32/4.26 X1520, 25.32/4.26 powerset( 25.32/4.26 X1518)) => 25.32/4.26 (![X1522]: 25.32/4.26 (in( 25.32/4.26 X1522, 25.32/4.26 X1518) => 25.32/4.26 (( 25.32/4.26 ~ 25.32/4.26 in( 25.32/4.26 X1522, 25.32/4.26 setminus( 25.32/4.26 X1518, 25.32/4.26 X1520))) => 25.32/4.26 in( 25.32/4.26 X1522, 25.32/4.26 X1520)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1524, 25.32/4.26 X1526]: 25.32/4.26 (in( 25.32/4.26 X1526, 25.32/4.26 powerset( 25.32/4.26 X1524)) => 25.32/4.26 (![X1528]: 25.32/4.26 (in( 25.32/4.26 X1528, 25.32/4.26 powerset( 25.32/4.26 X1524)) => 25.32/4.26 (![X1530]: 25.32/4.26 (in( 25.32/4.26 X1530, 25.32/4.26 X1524) => 25.32/4.26 (( 25.32/4.26 ~ 25.32/4.26 in( 25.32/4.26 X1530, 25.32/4.26 X1526)) => 25.32/4.26 (~ 25.32/4.26 in( 25.32/4.26 X1530, 25.32/4.26 binintersect( 25.32/4.26 X1526, 25.32/4.26 X1528)))))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1532, 25.32/4.26 X1534]: 25.32/4.26 (in( 25.32/4.26 X1534, 25.32/4.26 powerset( 25.32/4.26 X1532)) => 25.32/4.26 (![X1536]: 25.32/4.26 (in( 25.32/4.26 X1536, 25.32/4.26 powerset( 25.32/4.26 X1532)) => 25.32/4.26 (![X1538]: 25.32/4.26 (in( 25.32/4.26 X1538, 25.32/4.26 X1532) => 25.32/4.26 (( 25.32/4.26 ~ 25.32/4.26 in( 25.32/4.26 X1538, 25.32/4.26 X1536)) => 25.32/4.26 (~ 25.32/4.26 in( 25.32/4.26 X1538, 25.32/4.26 binintersect( 25.32/4.26 X1534, 25.32/4.26 X1536)))))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1540, 25.32/4.26 X1542]: 25.32/4.26 (in( 25.32/4.26 X1542, 25.32/4.26 powerset( 25.32/4.26 X1540)) => 25.32/4.26 (![X1544]: 25.32/4.26 (in( 25.32/4.26 X1544, 25.32/4.26 powerset( 25.32/4.26 X1540)) => 25.32/4.26 (![X1546]: 25.32/4.26 (in( 25.32/4.26 X1546, 25.32/4.26 X1540) => 25.32/4.26 (subset( 25.32/4.26 X1542, 25.32/4.26 setminus( 25.32/4.26 X1540, 25.32/4.26 X1544)) => 25.32/4.26 (in( 25.32/4.26 X1546, 25.32/4.26 X1544) => 25.32/4.26 (~ 25.32/4.26 in( 25.32/4.26 X1546, 25.32/4.26 X1542)))))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1548, 25.32/4.26 X1550]: 25.32/4.26 (in( 25.32/4.26 X1550, 25.32/4.26 powerset( 25.32/4.26 X1548)) => 25.32/4.26 (![X1552]: 25.32/4.26 (in( 25.32/4.26 X1552, 25.32/4.26 powerset( 25.32/4.26 X1548)) => 25.32/4.26 (![X1554]: 25.32/4.26 (in( 25.32/4.26 X1554, 25.32/4.26 X1548) => 25.32/4.26 (subset( 25.32/4.26 X1550, 25.32/4.26 X1552) => 25.32/4.26 (( 25.32/4.26 ~ 25.32/4.26 in( 25.32/4.26 X1554, 25.32/4.26 X1552)) => 25.32/4.26 (~ 25.32/4.26 in( 25.32/4.26 X1554, 25.32/4.26 X1550)))))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1556, 25.32/4.26 X1558]: 25.32/4.26 (in( 25.32/4.26 X1558, 25.32/4.26 powerset( 25.32/4.26 X1556)) => 25.32/4.26 (![X1560]: 25.32/4.26 (in( 25.32/4.26 X1560, 25.32/4.26 powerset( 25.32/4.26 X1556)) => 25.32/4.26 (subset( 25.32/4.26 X1558, 25.32/4.26 X1560) => 25.32/4.26 subset( 25.32/4.26 setminus( 25.32/4.26 X1556, 25.32/4.26 X1560), 25.32/4.26 setminus( 25.32/4.26 X1556, 25.32/4.26 X1558))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1562, 25.32/4.26 X1564]: 25.32/4.26 (in( 25.32/4.26 X1564, 25.32/4.26 powerset( 25.32/4.26 X1562)) => 25.32/4.26 (![X1566]: 25.32/4.26 (in( 25.32/4.26 X1566, 25.32/4.26 powerset( 25.32/4.26 X1562)) => 25.32/4.26 (subset( 25.32/4.26 setminus( 25.32/4.26 X1562, 25.32/4.26 X1566), 25.32/4.26 setminus( 25.32/4.26 X1562, 25.32/4.26 X1564)) => 25.32/4.26 subset( 25.32/4.26 X1564, 25.32/4.26 X1566)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1568, 25.32/4.26 X1570]: 25.32/4.26 (in( 25.32/4.26 X1570, 25.32/4.26 powerset( 25.32/4.26 X1568)) => 25.32/4.26 (![X1572]: 25.32/4.26 (in( 25.32/4.26 X1572, 25.32/4.26 X1568) => 25.32/4.26 (in( 25.32/4.26 X1572, 25.32/4.26 X1570) => 25.32/4.26 in( 25.32/4.26 X1572, 25.32/4.26 setminus( 25.32/4.26 X1568, 25.32/4.26 setminus( 25.32/4.26 X1568, 25.32/4.26 X1570)))))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1574, 25.32/4.26 X1576]: 25.32/4.26 (in( 25.32/4.26 X1576, 25.32/4.26 powerset( 25.32/4.26 X1574)) => 25.32/4.26 (![X1578]: 25.32/4.26 (in( 25.32/4.26 X1578, 25.32/4.26 X1574) => 25.32/4.26 (in( 25.32/4.26 X1578, 25.32/4.26 setminus( 25.32/4.26 X1574, 25.32/4.26 setminus( 25.32/4.26 X1574, 25.32/4.26 X1576))) => 25.32/4.26 in( 25.32/4.26 X1578, 25.32/4.26 X1576)))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1580, 25.32/4.26 X1582]: 25.32/4.26 (in( 25.32/4.26 X1582, 25.32/4.26 powerset( 25.32/4.26 X1580)) => 25.32/4.26 subset( 25.32/4.26 X1582, 25.32/4.26 setminus( 25.32/4.26 X1580, 25.32/4.26 setminus( 25.32/4.26 X1580, 25.32/4.26 X1582))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1584, 25.32/4.26 X1586]: 25.32/4.26 (in( 25.32/4.26 X1586, 25.32/4.26 powerset( 25.32/4.26 X1584)) => 25.32/4.26 subset( 25.32/4.26 setminus( 25.32/4.26 X1584, 25.32/4.26 setminus( 25.32/4.26 X1584, 25.32/4.26 X1586)), 25.32/4.26 X1586))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1588, 25.32/4.26 X1590]: 25.32/4.26 (in( 25.32/4.26 X1590, 25.32/4.26 powerset( 25.32/4.26 X1588)) => 25.32/4.26 (X1590 = 25.32/4.26 setminus( 25.32/4.26 X1588, 25.32/4.26 setminus( 25.32/4.26 X1588, 25.32/4.26 X1590))))) => 25.32/4.26 ( 25.32/4.26 ( 25.32/4.26 ![X1592, 25.32/4.26 X1594]: 25.32/4.26 (in( 25.32/4.26 X1594, 25.32/4.26 powerset( 25.32/4.26 X1592)) => 25.32/4.26 (![X1596]: 25.32/4.26 (in( 25.32/4.26 X1596, 25.32/4.26 powerset( 25.32/4.26 X1592)) => 25.32/4.26 (![X1598]: 25.32/4.26 (in( 25.32/4.26 X1598, 25.32/4.26 X1592) => 25.32/4.26 (in( 25.32/4.26 X1598, 25.32/4.26 setminus( 25.32/4.26 X1592, 25.32/4.26 X1594)) => 25.32/4.26 (~ 25.32/4.26 in( 25.32/4.26 X1598, 25.32/4.26 binintersect( 25.32/4.26 X1594, 25.32/4.26 X1596)))))))))) => 25.32/4.26 ( 25.32/4.26 ![X1600, 25.32/4.26 X1602]: 25.32/4.26 (in( 25.32/4.26 X1602, 25.32/4.26 powerset( 25.32/4.26 X1600)) => 25.32/4.26 (![X1604]: 25.32/4.26 (in( 25.32/4.26 X1604, 25.32/4.26 powerset( 25.32/4.26 X1600)) => 25.32/4.26 (![X1606]: 25.32/4.26 (in( 25.32/4.26 X1606, 25.32/4.26 X1600) => 25.32/4.26 (in( 25.32/4.26 X1606, 25.32/4.26 setminus( 25.32/4.26 X1600, 25.32/4.26 X1602)) => 25.32/4.26 in( 25.32/4.26 X1606, 25.32/4.26 setminus( 25.32/4.26 X1600, 25.32/4.26 binintersect( 25.32/4.26 X1602, 25.32/4.26 X1604))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 25.32/4.26 tff('259', plain, in(sk_X1606, setminus(sk_X1600, sk_X1602)), 25.32/4.26 inference('cnf', [status(esa)], [zf_stmt_14])). 25.32/4.26 tff('260', plain, in(sk_X1606, sk_X1600), 25.32/4.26 inference('cnf', [status(esa)], [zf_stmt_14])). 25.32/4.26 tff('261', plain, 25.32/4.26 ![X1406, X1407, X1408]: 25.32/4.26 ( in(X1406, X1407) | ~ in(X1406, binintersect(X1407, X1408))), 25.32/4.26 inference('cnf', [status(esa)], [zf_stmt_14])). 25.32/4.26 tff('262', plain, 25.32/4.26 ![X978, X979, X980]: 25.32/4.26 (~ in(X978, setminus(X979, X980)) | ~ in(X978, X980)), 25.32/4.26 inference('cnf', [status(esa)], [zf_stmt_14])). 25.32/4.26 tff('263', plain, 25.32/4.26 ![X1388, X1389, X1390]: 25.32/4.26 (~ in(X1388, X1389) 25.32/4.26 | in(X1388, X1390) 25.32/4.26 | in(X1388, setminus(X1389, X1390))), 25.32/4.26 inference('cnf', [status(esa)], [zf_stmt_14])). 25.32/4.26 tff('264', plain, 25.32/4.26 ~ in(sk_X1606, setminus(sk_X1600, binintersect(sk_X1602, sk_X1604))), 25.32/4.26 inference('cnf', [status(esa)], [zf_stmt_14])). 25.32/4.26 tff('265', plain, $false, 25.32/4.26 inference('eprover', [status(thm)], 25.32/4.26 ['259', '260', '261', '262', '263', '264'])). 25.32/4.26 25.32/4.26 % SZS output end Refutation 25.32/4.26 25.32/4.26 25.32/4.26 % Terminating... 25.73/4.34 % Runner terminated. 25.73/4.35 % Zipperpin 1.5 exiting 25.73/4.37 EOF