0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.16/0.17 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.DdlCFWh7G3 0.16/0.38 % Computer : n003.cluster.edu 0.16/0.38 % Model : x86_64 x86_64 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.38 % Memory : 8042.1875MB 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.38 % CPULimit : 1200 0.16/0.38 % DateTime : Tue Jul 13 14:40:24 EDT 2021 0.16/0.38 % CPUTime : 0.16/0.38 % Running portfolio for 120 s 0.16/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.16/0.39 % Number of cores: 8 0.16/0.39 % Python version: Python 3.6.8 0.16/0.39 % Running in HO mode 0.57/0.66 % Estimated wc time : 1286 0.57/0.66 % Estimated cpu time (7 cpus) : 183.71428571428572 0.57/0.72 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.57/0.72 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 24.26/4.12 % Solved by lams/c.easy.sh. 24.26/4.12 % Running : timeout 10 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.DdlCFWh7G3/e_input82727c --cpu-limit=8 --auto -s -p. 24.26/4.12 % done 1286 iterations in 3.141s 24.26/4.12 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 24.26/4.12 % SZS output start Refutation 24.26/4.12 tff(inIntersectImpInUnion2, axiom, inIntersectImpInUnion2 <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (![Z]: 24.26/4.12 (in(Z,powerset(A)) => 24.26/4.12 (![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (in(Xx,binintersect(X,Y)) => in(Xx,binunion(Y,Z)))))))))))). 24.26/4.12 tff('0', plain, 24.26/4.12 inIntersectImpInUnion2 = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,powerset(X4)) => 24.26/4.12 (![X12]: 24.26/4.12 (in(X12,X4) => 24.26/4.12 (in(X12,binintersect(X6,X8)) => in(X12,binunion(X8,X10))))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(inIntersectImpInUnion, axiom, inIntersectImpInUnion <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (![Z]: 24.26/4.12 (in(Z,powerset(A)) => 24.26/4.12 (![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (in(Xx,binintersect(X,Y)) => in(Xx,binunion(X,Z)))))))))))). 24.26/4.12 tff('1', plain, 24.26/4.12 inIntersectImpInUnion = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,powerset(X4)) => 24.26/4.12 (![X12]: 24.26/4.12 (in(X12,X4) => 24.26/4.12 (in(X12,binintersect(X6,X8)) => in(X12,binunion(X6,X10))))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binunionTIRcontra, axiom, binunionTIRcontra <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,Y)))))))))). 24.26/4.12 tff('2', plain, 24.26/4.12 binunionTIRcontra = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => ((~in(X10,binunion(X6,X8))) => (~in(X10,X8))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binunionTILcontra, axiom, binunionTILcontra <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,X)))))))))). 24.26/4.12 tff('3', plain, 24.26/4.12 binunionTILcontra = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => ((~in(X10,binunion(X6,X8))) => (~in(X10,X6))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(complementTcontraSubset, axiom, complementTcontraSubset <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X)))))))). 24.26/4.12 tff('4', plain, 24.26/4.12 complementTcontraSubset = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (subset(X6,setminus(X4,X8)) => subset(X8,setminus(X4,X6))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(contraSubsetComplement, axiom, contraSubsetComplement <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (subset(X,setminus(A,Y)) => 24.26/4.12 (![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,setminus(A,X))))))))))). 24.26/4.12 tff('5', plain, 24.26/4.12 contraSubsetComplement = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (subset(X6,setminus(X4,X8)) => 24.26/4.12 (![X10]: (in(X10,X4) => (in(X10,X8) => in(X10,setminus(X4,X6)))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(complementInPowersetComplementIntersect, axiom, 24.26/4.12 complementInPowersetComplementIntersect <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 in(setminus(A,X),powerset(setminus(A,binintersect(X,Y))))))))). 24.26/4.12 tff('6', plain, 24.26/4.12 complementInPowersetComplementIntersect = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 in(setminus(X4,X6),powerset(setminus(X4,binintersect(X6,X8)))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(complementSubsetComplementIntersect, axiom, 24.26/4.12 complementSubsetComplementIntersect <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 subset(setminus(A,X),setminus(A,binintersect(X,Y)))))))). 24.26/4.12 tff('7', plain, 24.26/4.12 complementSubsetComplementIntersect = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 subset(setminus(X4,X6),setminus(X4,binintersect(X6,X8))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(complementImpComplementIntersect, axiom, 24.26/4.12 complementImpComplementIntersect <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (in(Xx,setminus(A,X)) => in(Xx,setminus(A,binintersect(X,Y))))))))))). 24.26/4.12 tff('8', plain, 24.26/4.12 complementImpComplementIntersect = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 (in(X10,setminus(X4,X6)) => 24.26/4.12 in(X10,setminus(X4,binintersect(X6,X8)))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(complementTnotintersectT, axiom, complementTnotintersectT <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (in(Xx,setminus(A,X)) => (~in(Xx,binintersect(X,Y))))))))))). 24.26/4.12 tff('9', plain, 24.26/4.12 complementTnotintersectT = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 (in(X10,setminus(X4,X6)) => (~in(X10,binintersect(X6,X8)))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(doubleComplementEq, axiom, doubleComplementEq <=> 24.26/4.12 (![A,X]: (in(X,powerset(A)) => (X = setminus(A,setminus(A,X)))))). 24.26/4.12 tff('10', plain, 24.26/4.12 doubleComplementEq = 24.26/4.12 (![X4,X6]: (in(X6,powerset(X4)) => (X6 = setminus(X4,setminus(X4,X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(doubleComplementSub2, axiom, doubleComplementSub2 <=> 24.26/4.12 (![A,X]: (in(X,powerset(A)) => subset(setminus(A,setminus(A,X)),X)))). 24.26/4.12 tff('11', plain, 24.26/4.12 doubleComplementSub2 = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => subset(setminus(X4,setminus(X4,X6)),X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(doubleComplementSub1, axiom, doubleComplementSub1 <=> 24.26/4.12 (![A,X]: (in(X,powerset(A)) => subset(X,setminus(A,setminus(A,X)))))). 24.26/4.12 tff('12', plain, 24.26/4.12 doubleComplementSub1 = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => subset(X6,setminus(X4,setminus(X4,X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(doubleComplementE1, axiom, doubleComplementE1 <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Xx]: (in(Xx,A) => (in(Xx,setminus(A,setminus(A,X))) => in(Xx,X))))))). 24.26/4.12 tff('13', plain, 24.26/4.12 doubleComplementE1 = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,X4) => (in(X8,setminus(X4,setminus(X4,X6))) => in(X8,X6)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(doubleComplementI1, axiom, doubleComplementI1 <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,setminus(A,setminus(A,X))))))))). 24.26/4.12 tff('14', plain, 24.26/4.12 doubleComplementI1 = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,X4) => (in(X8,X6) => in(X8,setminus(X4,setminus(X4,X6)))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(contrasubsetT3, axiom, contrasubsetT3 <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (subset(setminus(A,Y),setminus(A,X)) => subset(X,Y))))))). 24.26/4.12 tff('15', plain, 24.26/4.12 contrasubsetT3 = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (subset(setminus(X4,X8),setminus(X4,X6)) => subset(X6,X8)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(contrasubsetT2, axiom, contrasubsetT2 <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (subset(X,Y) => subset(setminus(A,Y),setminus(A,X)))))))). 24.26/4.12 tff('16', plain, 24.26/4.12 contrasubsetT2 = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (subset(X6,X8) => subset(setminus(X4,X8),setminus(X4,X6))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(contrasubsetT1, axiom, contrasubsetT1 <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (![Xx]: (in(Xx,A) => (subset(X,Y) => ((~in(Xx,Y)) => (~in(Xx,X))))))))))). 24.26/4.12 tff('17', plain, 24.26/4.12 contrasubsetT1 = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 (subset(X6,X8) => ((~in(X10,X8)) => (~in(X10,X6)))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(contrasubsetT, axiom, contrasubsetT <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (subset(X,setminus(A,Y)) => (in(Xx,Y) => (~in(Xx,X))))))))))). 24.26/4.12 tff('18', plain, 24.26/4.12 contrasubsetT = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 (subset(X6,setminus(X4,X8)) => (in(X10,X8) => (~in(X10,X6)))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectTERcontra, axiom, binintersectTERcontra <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (![Xx]: (in(Xx,A) => ((~in(Xx,Y)) => (~in(Xx,binintersect(X,Y))))))))))). 24.26/4.12 tff('19', plain, 24.26/4.12 binintersectTERcontra = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 ((~in(X10,X8)) => (~in(X10,binintersect(X6,X8)))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectTELcontra, axiom, binintersectTELcontra <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (![Xx]: (in(Xx,A) => ((~in(Xx,X)) => (~in(Xx,binintersect(X,Y))))))))))). 24.26/4.12 tff('20', plain, 24.26/4.12 binintersectTELcontra = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 ((~in(X10,X6)) => (~in(X10,binintersect(X6,X8)))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(complementTE1, axiom, complementTE1 <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Xx]: (in(Xx,A) => ((~in(Xx,setminus(A,X))) => in(Xx,X))))))). 24.26/4.12 tff('21', plain, 24.26/4.12 complementTE1 = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: (in(X8,X4) => ((~in(X8,setminus(X4,X6))) => in(X8,X6)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(complementTI1, axiom, complementTI1 <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Xx]: (in(Xx,A) => (in(Xx,X) => (~in(Xx,setminus(A,X))))))))). 24.26/4.12 tff('22', plain, 24.26/4.12 complementTI1 = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: (in(X8,X4) => (in(X8,X6) => (~in(X8,setminus(X4,X6)))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(powersetTE1, axiom, powersetTE1 <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 (![Xx]: (in(Xx,A) => (in(X,powerset(Y)) => (in(Xx,X) => in(Xx,Y)))))))))). 24.26/4.12 tff('23', plain, 24.26/4.12 powersetTE1 = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 (in(X6,powerset(X8)) => (in(X10,X6) => in(X10,X8))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(powersetTI1, axiom, powersetTI1 <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => in(X,powerset(Y)))))))). 24.26/4.12 tff('24', plain, 24.26/4.12 powersetTI1 = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 24.26/4.12 in(X6,powerset(X8))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(subsetTI, axiom, subsetTI <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y))))))). 24.26/4.12 tff('25', plain, 24.26/4.12 subsetTI = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 24.26/4.12 subset(X6,X8)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setextT, axiom, setextT <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in(Y,powerset(A)) => 24.26/4.12 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => 24.26/4.12 ((![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,X)))) => (X = Y)))))))). 24.26/4.12 tff('26', plain, 24.26/4.12 setextT = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,powerset(X4)) => 24.26/4.12 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 24.26/4.12 ((![X12]: (in(X12,X4) => (in(X12,X8) => in(X12,X6)))) => 24.26/4.12 (X6 = X8))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(complementT_lem, axiom, complementT_lem <=> 24.26/4.12 (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A))))). 24.26/4.12 tff('27', plain, 24.26/4.12 complementT_lem = 24.26/4.12 (![X4,X6]: (in(X6,powerset(X4)) => in(setminus(X4,X6),powerset(X4)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setminusT_lem, axiom, setminusT_lem <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: (in(Y,powerset(A)) => in(setminus(X,Y),powerset(A))))))). 24.26/4.12 tff('28', plain, 24.26/4.12 setminusT_lem = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: (in(X8,powerset(X4)) => in(setminus(X6,X8),powerset(X4)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(powersetT_lem, axiom, powersetT_lem <=> 24.26/4.12 (![A,X]: (in(X,powerset(A)) => in(powerset(X),powerset(powerset(A)))))). 24.26/4.12 tff('29', plain, 24.26/4.12 powersetT_lem = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => in(powerset(X6),powerset(powerset(X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binunionT_lem, axiom, binunionT_lem <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A))))))). 24.26/4.12 tff('30', plain, 24.26/4.12 binunionT_lem = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: (in(X8,powerset(X4)) => in(binunion(X6,X8),powerset(X4)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectT_lem, axiom, binintersectT_lem <=> 24.26/4.12 (![A,X]: 24.26/4.12 (in(X,powerset(A)) => 24.26/4.12 (![Y]: (in(Y,powerset(A)) => in(binintersect(X,Y),powerset(A))))))). 24.26/4.12 tff('31', plain, 24.26/4.12 binintersectT_lem = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,powerset(X4)) => 24.26/4.12 (![X8]: (in(X8,powerset(X4)) => in(binintersect(X6,X8),powerset(X4)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(iftrueorfalse, axiom, iftrueorfalse <=> 24.26/4.12 (![A,Xphi:$o,Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,A) => 24.26/4.12 in(if(A,Xphi,Xx,Xy),setadjoin(Xx,setadjoin(Xy,emptyset)))))))). 24.26/4.12 tff('32', plain, 24.26/4.12 iftrueorfalse = 24.26/4.12 (![X4,X6:$o,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 in(if(X4,X6,X8,X10),setadjoin(X8,setadjoin(X10,emptyset))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(iffalse, axiom, iffalse <=> 24.26/4.12 (![A,Xphi:$o,Xx]: 24.26/4.12 (in(Xx,A) => (![Xy]: (in(Xy,A) => ((~Xphi) => (if(A,Xphi,Xx,Xy) = Xy))))))). 24.26/4.12 tff('33', plain, 24.26/4.12 iffalse = 24.26/4.12 (![X4,X6:$o,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: (in(X10,X4) => ((~X6) => (if(X4,X6,X8,X10) = X10)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(iftrue, axiom, iftrue <=> 24.26/4.12 (![A,Xphi:$o,Xx]: 24.26/4.12 (in(Xx,A) => (![Xy]: (in(Xy,A) => (Xphi => (if(A,Xphi,Xx,Xy) = Xx))))))). 24.26/4.12 tff('34', plain, 24.26/4.12 iftrue = 24.26/4.12 (![X4,X6:$o,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: (in(X10,X4) => (X6 => (if(X4,X6,X8,X10) = X8)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(theeq, axiom, theeq <=> 24.26/4.12 (![X]: (singleton(X) => (![Xx]: (in(Xx,X) => (setunion(X) = Xx)))))). 24.26/4.12 tff('35', plain, 24.26/4.12 theeq = 24.26/4.12 (![X4]: (singleton(X4) => (![X6]: (in(X6,X4) => (setunion(X4) = X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ifp, axiom, ifp <=> 24.26/4.12 (![A,Xphi:$o,Xx]: 24.26/4.12 (in(Xx,A) => (![Xy]: (in(Xy,A) => in(if(A,Xphi,Xx,Xy),A)))))). 24.26/4.12 tff('36', plain, 24.26/4.12 ifp = 24.26/4.12 (![X4,X6:$o,X8]: 24.26/4.12 (in(X8,X4) => (![X10]: (in(X10,X4) => in(if(X4,X6,X8,X10),X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ifSingleton, axiom, ifSingleton <=> 24.26/4.12 (![A,Xphi:$o,Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,A) => 24.26/4.12 singleton(dsetconstr(A, 24.26/4.12 ^[Xz]: 24.26/4.12 ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy)))))))))). 24.26/4.12 tff('37', plain, 24.26/4.12 ifSingleton = 24.26/4.12 (![X4,X6:$o,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 singleton(dsetconstr(X4, 24.26/4.12 ^[V_1]: 24.26/4.12 ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(iftrueProp2, axiom, iftrueProp2 <=> 24.26/4.12 (![A,Xphi:$o,Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,A) => 24.26/4.12 (Xphi => 24.26/4.12 (dsetconstr(A,^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy)))) = 24.26/4.12 setadjoin(Xx,emptyset)))))))). 24.26/4.12 tff('38', plain, 24.26/4.12 iftrueProp2 = 24.26/4.12 (![X4,X6:$o,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 (X6 => 24.26/4.12 (dsetconstr(X4, 24.26/4.12 ^[V_1]: ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))) = 24.26/4.12 setadjoin(X8,emptyset))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(iftrueProp1, axiom, iftrueProp1 <=> 24.26/4.12 (![A,Xphi:$o,Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,A) => 24.26/4.12 (Xphi => 24.26/4.12 in(Xx, 24.26/4.12 dsetconstr(A, 24.26/4.12 ^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy))))))))))). 24.26/4.12 tff('39', plain, 24.26/4.12 iftrueProp1 = 24.26/4.12 (![X4,X6:$o,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 (X6 => 24.26/4.12 in(X8, 24.26/4.12 dsetconstr(X4, 24.26/4.12 ^[V_1]: 24.26/4.12 ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(iffalseProp2, axiom, iffalseProp2 <=> 24.26/4.12 (![A,Xphi:$o,Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,A) => 24.26/4.12 ((~Xphi) => 24.26/4.12 (dsetconstr(A,^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy)))) = 24.26/4.12 setadjoin(Xy,emptyset)))))))). 24.26/4.12 tff('40', plain, 24.26/4.12 iffalseProp2 = 24.26/4.12 (![X4,X6:$o,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 ((~X6) => 24.26/4.12 (dsetconstr(X4, 24.26/4.12 ^[V_1]: ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))) = 24.26/4.12 setadjoin(X10,emptyset))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(iffalseProp1, axiom, iffalseProp1 <=> 24.26/4.12 (![A,Xphi:$o,Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,A) => 24.26/4.12 ((~Xphi) => 24.26/4.12 in(Xy, 24.26/4.12 dsetconstr(A, 24.26/4.12 ^[Xz]: ((Xphi & (Xz = Xx)) | ((~Xphi) & (Xz = Xy))))))))))). 24.26/4.12 tff('41', plain, 24.26/4.12 iffalseProp1 = 24.26/4.12 (![X4,X6:$o,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 ((~X6) => 24.26/4.12 in(X10, 24.26/4.12 dsetconstr(X4, 24.26/4.12 ^[V_1]: 24.26/4.12 ((X6 & (V_1 = X8)) | ((~X6) & (V_1 = X10)))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(eta2, axiom, eta2 <=> 24.26/4.12 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 24.26/4.12 tff('42', plain, 24.26/4.12 eta2 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,funcSet(X4,X6)) => (lam(X4,X6,^[V_1]: ap(X4,X6,X8,V_1)) = X8))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(beta2, axiom, beta2 <=> 24.26/4.12 (![A,B,Xf:(($i > $i))]: 24.26/4.12 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 24.26/4.12 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 24.26/4.12 tff('43', plain, 24.26/4.12 beta2 = 24.26/4.12 (![X4,X6,X8:(($i > $i))]: 24.26/4.12 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 24.26/4.12 (![X12]: 24.26/4.12 (in(X12,X4) => 24.26/4.12 (ap(X4,X6,lam(X4,X6,^[V_1]: X8(V_1)),X12) = X8(X12)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(lam2lamEq, axiom, lam2lamEq <=> 24.26/4.12 (![A,B,Xf:(($i > $i))]: 24.26/4.12 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 24.26/4.12 (lam(A,B,^[Xx]: Xf(Xx)) = lam(A,B,^[Xx]: Xf(Xx)))))). 24.26/4.12 tff('44', plain, 24.26/4.12 lam2lamEq = 24.26/4.12 (![X4,X6,X8:(($i > $i))]: 24.26/4.12 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 24.26/4.12 (lam(X4,X6,^[V_1]: X8(V_1)) = lam(X4,X6,^[V_2]: X8(V_2))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(eta1, axiom, eta1 <=> 24.26/4.12 (![A,B,Xf]: (func(A,B,Xf) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 24.26/4.12 tff('45', plain, 24.26/4.12 eta1 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (func(X4,X6,X8) => (lam(X4,X6,^[V_1]: ap(X4,X6,X8,V_1)) = X8))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(beta1, axiom, beta1 <=> 24.26/4.12 (![A,B,Xf:(($i > $i))]: 24.26/4.12 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 24.26/4.12 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 24.26/4.12 tff('46', plain, 24.26/4.12 beta1 = 24.26/4.12 (![X4,X6,X8:(($i > $i))]: 24.26/4.12 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 24.26/4.12 (![X12]: 24.26/4.12 (in(X12,X4) => 24.26/4.12 (ap(X4,X6,lam(X4,X6,^[V_1]: X8(V_1)),X12) = X8(X12)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ap2apEq2, axiom, ap2apEq2 <=> 24.26/4.12 (![A,B,Xf]: 24.26/4.12 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 24.26/4.12 tff('47', plain, 24.26/4.12 ap2apEq2 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (func(X4,X6,X8) => 24.26/4.12 (![X10]: (in(X10,X4) => (ap(X4,X6,X8,X10) = ap(X4,X6,X8,X10)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ap2apEq1, axiom, ap2apEq1 <=> 24.26/4.12 (![A,B,Xf]: 24.26/4.12 (in(Xf,funcSet(A,B)) => 24.26/4.12 (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 24.26/4.12 tff('48', plain, 24.26/4.12 ap2apEq1 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,funcSet(X4,X6)) => 24.26/4.12 (![X10]: (in(X10,X4) => (ap(X4,X6,X8,X10) = ap(X4,X6,X8,X10)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(funcext2, axiom, funcext2 <=> 24.26/4.12 (![A,B,Xf]: 24.26/4.12 (in(Xf,funcSet(A,B)) => 24.26/4.12 (![Xg]: 24.26/4.12 (in(Xg,funcSet(A,B)) => 24.26/4.12 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 24.26/4.12 (Xf = Xg))))))). 24.26/4.12 tff('49', plain, 24.26/4.12 funcext2 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,funcSet(X4,X6)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,funcSet(X4,X6)) => 24.26/4.12 ((![X12]: (in(X12,X4) => (ap(X4,X6,X8,X12) = ap(X4,X6,X10,X12)))) => 24.26/4.12 (X8 = X10)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(funcext, axiom, funcext <=> 24.26/4.12 (![A,B,Xf]: 24.26/4.12 (func(A,B,Xf) => 24.26/4.12 (![Xg]: 24.26/4.12 (func(A,B,Xg) => 24.26/4.12 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 24.26/4.12 (Xf = Xg))))))). 24.26/4.12 tff('50', plain, 24.26/4.12 funcext = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (func(X4,X6,X8) => 24.26/4.12 (![X10]: 24.26/4.12 (func(X4,X6,X10) => 24.26/4.12 ((![X12]: (in(X12,X4) => (ap(X4,X6,X8,X12) = ap(X4,X6,X10,X12)))) => 24.26/4.12 (X8 = X10)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(eqbreln, axiom, eqbreln <=> 24.26/4.12 (![A,B,R]: 24.26/4.12 (breln(A,B,R) => 24.26/4.12 (![S]: 24.26/4.12 (breln(A,B,S) => 24.26/4.12 ((![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 24.26/4.12 ((![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),R)))))) => 24.26/4.12 (R = S)))))))). 24.26/4.12 tff('51', plain, 24.26/4.12 eqbreln = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (breln(X4,X6,X8) => 24.26/4.12 (![X10]: 24.26/4.12 (breln(X4,X6,X10) => 24.26/4.12 ((![X12]: 24.26/4.12 (in(X12,X4) => 24.26/4.12 (![X14]: 24.26/4.12 (in(X14,X6) => 24.26/4.12 (in(kpair(X12,X14),X8) => in(kpair(X12,X14),X10)))))) => 24.26/4.12 ((![X16]: 24.26/4.12 (in(X16,X4) => 24.26/4.12 (![X18]: 24.26/4.12 (in(X18,X6) => 24.26/4.12 (in(kpair(X16,X18),X10) => in(kpair(X16,X18),X8)))))) => 24.26/4.12 (X8 = X10))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(subbreln, axiom, subbreln <=> 24.26/4.12 (![A,B,R]: 24.26/4.12 (breln(A,B,R) => 24.26/4.12 (![S]: 24.26/4.12 (breln(A,B,S) => 24.26/4.12 ((![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 24.26/4.12 subset(R,S))))))). 24.26/4.12 tff('52', plain, 24.26/4.12 subbreln = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (breln(X4,X6,X8) => 24.26/4.12 (![X10]: 24.26/4.12 (breln(X4,X6,X10) => 24.26/4.12 ((![X12]: 24.26/4.12 (in(X12,X4) => 24.26/4.12 (![X14]: 24.26/4.12 (in(X14,X6) => 24.26/4.12 (in(kpair(X12,X14),X8) => in(kpair(X12,X14),X10)))))) => 24.26/4.12 subset(X8,X10)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(funcGraphProp4, axiom, funcGraphProp4 <=> 24.26/4.12 (![A,B,Xf]: 24.26/4.12 (in(Xf,funcSet(A,B)) => 24.26/4.12 (![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 24.26/4.12 tff('53', plain, 24.26/4.12 funcGraphProp4 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,funcSet(X4,X6)) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 (![X12]: 24.26/4.12 (in(X12,X6) => 24.26/4.12 (in(kpair(X10,X12),X8) => (ap(X4,X6,X8,X10) = X12)))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(funcextLem, axiom, funcextLem <=> 24.26/4.12 (![A,B,Xf]: 24.26/4.12 (func(A,B,Xf) => 24.26/4.12 (![Xg]: 24.26/4.12 (func(A,B,Xg) => 24.26/4.12 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 24.26/4.12 (![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => (in(kpair(Xx,Xy),Xg) => in(kpair(Xx,Xy),Xf)))))))))))). 24.26/4.12 tff('54', plain, 24.26/4.12 funcextLem = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (func(X4,X6,X8) => 24.26/4.12 (![X10]: 24.26/4.12 (func(X4,X6,X10) => 24.26/4.12 ((![X12]: (in(X12,X4) => (ap(X4,X6,X8,X12) = ap(X4,X6,X10,X12)))) => 24.26/4.12 (![X14]: 24.26/4.12 (in(X14,X4) => 24.26/4.12 (![X16]: 24.26/4.12 (in(X16,X6) => 24.26/4.12 (in(kpair(X14,X16),X10) => in(kpair(X14,X16),X8))))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(funcGraphProp2, axiom, funcGraphProp2 <=> 24.26/4.12 (![A,B,Xf]: 24.26/4.12 (func(A,B,Xf) => 24.26/4.12 (![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 24.26/4.12 tff('55', plain, 24.26/4.12 funcGraphProp2 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (func(X4,X6,X8) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 (![X12]: 24.26/4.12 (in(X12,X6) => 24.26/4.12 (in(kpair(X10,X12),X8) => (ap(X4,X6,X8,X10) = X12)))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(funcGraphProp3, axiom, funcGraphProp3 <=> 24.26/4.12 (![A,B,Xf]: 24.26/4.12 (in(Xf,funcSet(A,B)) => 24.26/4.12 (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 24.26/4.12 tff('56', plain, 24.26/4.12 funcGraphProp3 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,funcSet(X4,X6)) => 24.26/4.12 (![X10]: (in(X10,X4) => in(kpair(X10,ap(X4,X6,X8,X10)),X8))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(funcGraphProp1, axiom, funcGraphProp1 <=> 24.26/4.12 (![A,B,Xf]: 24.26/4.12 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 24.26/4.12 tff('57', plain, 24.26/4.12 funcGraphProp1 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (func(X4,X6,X8) => 24.26/4.12 (![X10]: (in(X10,X4) => in(kpair(X10,ap(X4,X6,X8,X10)),X8))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ex1E2, axiom, ex1E2 <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: 24.26/4.12 (ex1(A,^[Xx]: Xphi(Xx)) => 24.26/4.12 (![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))))))))). 24.26/4.12 tff('58', plain, 24.26/4.12 ex1E2 = 24.26/4.12 (![X4,X6:(($i > $o))]: 24.26/4.12 (ex1(X4,^[V_1]: X6(V_1)) => 24.26/4.12 (![X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: (in(X10,X4) => (X6(X8) => (X6(X10) => (X8 = X10))))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(brelnall2, axiom, brelnall2 <=> 24.26/4.12 (![A,B,R]: 24.26/4.12 (breln(A,B,R) => 24.26/4.12 (![Xphi:(($i > $o))]: 24.26/4.12 ((![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 24.26/4.12 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 24.26/4.12 tff('59', plain, 24.26/4.12 brelnall2 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (breln(X4,X6,X8) => 24.26/4.12 (![X10:(($i > $o))]: 24.26/4.12 ((![X12]: 24.26/4.12 (in(X12,X4) => 24.26/4.12 (![X14]: 24.26/4.12 (in(X14,X6) => 24.26/4.12 (in(kpair(X12,X14),X8) => X10(kpair(X12,X14))))))) => 24.26/4.12 (![X16]: (in(X16,X8) => X10(X16))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(brelnall1, axiom, brelnall1 <=> 24.26/4.12 (![A,B,R]: 24.26/4.12 (breln(A,B,R) => 24.26/4.12 (![Xphi:(($i > $o))]: 24.26/4.12 ((![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 24.26/4.12 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 24.26/4.12 tff('60', plain, 24.26/4.12 brelnall1 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (breln(X4,X6,X8) => 24.26/4.12 (![X10:(($i > $o))]: 24.26/4.12 ((![X12]: 24.26/4.12 (in(X12,X4) => 24.26/4.12 (![X14]: 24.26/4.12 (in(X14,X6) => 24.26/4.12 (in(kpair(X12,X14),X8) => X10(kpair(X12,X14))))))) => 24.26/4.12 (![X16]: (in(X16,X8) => X10(X16))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(lam2p, axiom, lam2p <=> 24.26/4.12 (![A,B,Xf:(($i > $i))]: 24.26/4.12 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 24.26/4.12 in(lam(A,B,^[Xx]: Xf(Xx)),funcSet(A,B))))). 24.26/4.12 tff('61', plain, 24.26/4.12 lam2p = 24.26/4.12 (![X4,X6,X8:(($i > $i))]: 24.26/4.12 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 24.26/4.12 in(lam(X4,X6,^[V_1]: X8(V_1)),funcSet(X4,X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(lamp, axiom, lamp <=> 24.26/4.12 (![A,B,Xf:(($i > $i))]: 24.26/4.12 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => func(A,B,lam(A,B,^[Xx]: Xf(Xx)))))). 24.26/4.12 tff('62', plain, 24.26/4.12 lamp = 24.26/4.12 (![X4,X6,X8:(($i > $i))]: 24.26/4.12 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 24.26/4.12 func(X4,X6,lam(X4,X6,^[V_1]: X8(V_1))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(lamProp, axiom, lamProp <=> 24.26/4.12 (![A,B,Xf:(($i > $i))]: 24.26/4.12 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 24.26/4.12 func(A,B,dpsetconstr(A,B,^[Xx,Xy]: (Xf(Xx) = Xy)))))). 24.26/4.12 tff('63', plain, 24.26/4.12 lamProp = 24.26/4.12 (![X4,X6,X8:(($i > $i))]: 24.26/4.12 ((![X10]: (in(X10,X4) => in(X8(X10),X6))) => 24.26/4.12 func(X4,X6,dpsetconstr(X4,X6,^[V_1,V_2]: (X8(V_1) = V_2))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(funcinfuncset, axiom, funcinfuncset <=> 24.26/4.12 (![A,B,Xf]: (func(A,B,Xf) => in(Xf,funcSet(A,B))))). 24.26/4.12 tff('64', plain, 24.26/4.12 funcinfuncset = (![X4,X6,X8]: (func(X4,X6,X8) => in(X8,funcSet(X4,X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ap2p, axiom, ap2p <=> 24.26/4.12 (![A,B,Xf]: 24.26/4.12 (in(Xf,funcSet(A,B)) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 24.26/4.12 tff('65', plain, 24.26/4.12 ap2p = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,funcSet(X4,X6)) => 24.26/4.12 (![X10]: (in(X10,X4) => in(ap(X4,X6,X8,X10),X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(infuncsetfunc, axiom, infuncsetfunc <=> 24.26/4.12 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => func(A,B,Xf)))). 24.26/4.12 tff('66', plain, 24.26/4.12 infuncsetfunc = (![X4,X6,X8]: (in(X8,funcSet(X4,X6)) => func(X4,X6,X8))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(app, axiom, app <=> 24.26/4.12 (![A,B,Xf]: (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 24.26/4.12 tff('67', plain, 24.26/4.12 app = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (func(X4,X6,X8) => (![X10]: (in(X10,X4) => in(ap(X4,X6,X8,X10),X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(apProp, axiom, apProp <=> 24.26/4.12 (![A,B,Xf]: 24.26/4.12 (func(A,B,Xf) => 24.26/4.12 (![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 in(setunion(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf))),B)))))). 24.26/4.12 tff('68', plain, 24.26/4.12 apProp = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (func(X4,X6,X8) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 in(setunion(dsetconstr(X6,^[V_1]: in(kpair(X10,V_1),X8))),X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(funcImageSingleton, axiom, funcImageSingleton <=> 24.26/4.12 (![A,B,Xf]: 24.26/4.12 (func(A,B,Xf) => 24.26/4.12 (![Xx]: 24.26/4.12 (in(Xx,A) => singleton(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf)))))))). 24.26/4.12 tff('69', plain, 24.26/4.12 funcImageSingleton = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (func(X4,X6,X8) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 singleton(dsetconstr(X6,^[V_1]: in(kpair(X10,V_1),X8))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(dpsetconstrER, axiom, dpsetconstrER <=> 24.26/4.12 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 24.26/4.12 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => Xphi(Xx,Xy)))). 24.26/4.12 tff('70', plain, 24.26/4.12 dpsetconstrER = 24.26/4.12 (![X4,X6,X8:(($i * $i) > $o),X10,X12]: 24.26/4.12 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 24.26/4.12 X8(X10,X12))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(dpsetconstrEL2, axiom, dpsetconstrEL2 <=> 24.26/4.12 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 24.26/4.12 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xy,B)))). 24.26/4.12 tff('71', plain, 24.26/4.12 dpsetconstrEL2 = 24.26/4.12 (![X4,X6,X8:(($i * $i) > $o),X10,X12]: 24.26/4.12 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 24.26/4.12 in(X12,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(dpsetconstrEL1, axiom, dpsetconstrEL1 <=> 24.26/4.12 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 24.26/4.12 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xx,A)))). 24.26/4.12 tff('72', plain, 24.26/4.12 dpsetconstrEL1 = 24.26/4.12 (![X4,X6,X8:(($i * $i) > $o),X10,X12]: 24.26/4.12 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 24.26/4.12 in(X10,X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(dpsetconstrERa, axiom, dpsetconstrERa <=> 24.26/4.12 (![A,B,Xphi:(($i * $i) > $o),Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => 24.26/4.12 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => 24.26/4.12 Xphi(Xx,Xy))))))). 24.26/4.12 tff('73', plain, 24.26/4.12 dpsetconstrERa = 24.26/4.12 (![X4,X6,X8:(($i * $i) > $o),X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 (![X12]: 24.26/4.12 (in(X12,X6) => 24.26/4.12 (in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2))) => 24.26/4.12 X8(X10,X12)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setOfPairsIsBReln, axiom, setOfPairsIsBReln <=> 24.26/4.12 (![A,B,Xphi:(($i * $i) > $o)]: 24.26/4.12 breln(A,B,dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy))))). 24.26/4.12 tff('74', plain, 24.26/4.12 setOfPairsIsBReln = 24.26/4.12 (![X4,X6,X8:(($i * $i) > $o)]: 24.26/4.12 breln(X4,X6,dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(dpsetconstrSub, axiom, dpsetconstrSub <=> 24.26/4.12 (![A,B,Xphi:(($i * $i) > $o)]: 24.26/4.12 subset(dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy)),cartprod(A,B)))). 24.26/4.12 tff('75', plain, 24.26/4.12 dpsetconstrSub = 24.26/4.12 (![X4,X6,X8:(($i * $i) > $o)]: 24.26/4.12 subset(dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)),cartprod(X4,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(dpsetconstrI, axiom, dpsetconstrI <=> 24.26/4.12 (![A,B,Xphi:(($i * $i) > $o),Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => 24.26/4.12 (Xphi(Xx,Xy) => 24.26/4.12 in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))))))))). 24.26/4.12 tff('76', plain, 24.26/4.12 dpsetconstrI = 24.26/4.12 (![X4,X6,X8:(($i * $i) > $o),X10]: 24.26/4.12 (in(X10,X4) => 24.26/4.12 (![X12]: 24.26/4.12 (in(X12,X6) => 24.26/4.12 (X8(X10,X12) => 24.26/4.12 in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(breln, axiom, breln() = ^[A,B,C]: subset(C,cartprod(A,B))). 24.26/4.12 tff('77', plain, breln = (^[A,B,C]: subset(C,cartprod(A,B))), 24.26/4.12 inference('simplify_rw_rule', [status(thm)], [breln])). 24.26/4.12 tff('78', plain, breln = (^[V_1,V_2,V_3]: subset(V_3,cartprod(V_1,V_2))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(cartprodpairsurjEq, axiom, cartprodpairsurjEq <=> 24.26/4.12 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 24.26/4.12 tff('79', plain, 24.26/4.12 cartprodpairsurjEq = 24.26/4.12 (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => (kpair(kfst(X8),ksnd(X8)) = X8))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(cartprodsndpairEq, axiom, cartprodsndpairEq <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (ksnd(kpair(Xx,Xy)) = Xy)))))). 24.26/4.12 tff('80', plain, 24.26/4.12 cartprodsndpairEq = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,X4) => (![X10]: (in(X10,X6) => (ksnd(kpair(X8,X10)) = X10))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(cartprodfstpairEq, axiom, cartprodfstpairEq <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (kfst(kpair(Xx,Xy)) = Xx)))))). 24.26/4.12 tff('81', plain, 24.26/4.12 cartprodfstpairEq = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,X4) => (![X10]: (in(X10,X6) => (kfst(kpair(X8,X10)) = X8))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(cartprodmempaircEq, axiom, cartprodmempaircEq <=> 24.26/4.12 (![A,B,Xx]: 24.26/4.12 (in(Xx,A) => (![Xy]: (in(Xy,B) => (kpair(Xx,Xy) = kpair(Xx,Xy))))))). 24.26/4.12 tff('82', plain, 24.26/4.12 cartprodmempaircEq = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: (in(X10,X6) => (kpair(X8,X10) = kpair(X8,X10)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(cartprodpairmemER, axiom, cartprodpairmemER <=> 24.26/4.12 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xy,B)))). 24.26/4.12 tff('83', plain, 24.26/4.12 cartprodpairmemER = 24.26/4.12 (![X4,X6,X8,X10]: (in(kpair(X8,X10),cartprod(X4,X6)) => in(X10,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(cartprodpairmemEL, axiom, cartprodpairmemEL <=> 24.26/4.12 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xx,A)))). 24.26/4.12 tff('84', plain, 24.26/4.12 cartprodpairmemEL = 24.26/4.12 (![X4,X6,X8,X10]: (in(kpair(X8,X10),cartprod(X4,X6)) => in(X8,X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(cartprodsndin, axiom, cartprodsndin <=> 24.26/4.12 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(ksnd(Xu),B)))). 24.26/4.12 tff('85', plain, 24.26/4.12 cartprodsndin = 24.26/4.12 (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => in(ksnd(X8),X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(kpairsurjEq, axiom, kpairsurjEq <=> 24.26/4.12 (![Xu]: (iskpair(Xu) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 24.26/4.12 tff('86', plain, 24.26/4.12 kpairsurjEq = (![X4]: (iskpair(X4) => (kpair(kfst(X4),ksnd(X4)) = X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ksndpairEq, axiom, ksndpairEq <=> (![Xx,Xy]: (ksnd(kpair(Xx,Xy)) = Xy))). 24.26/4.12 tff('87', plain, ksndpairEq = (![X4,X6]: (ksnd(kpair(X4,X6)) = X6)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ksndsingleton, axiom, ksndsingleton <=> 24.26/4.12 (![Xu]: 24.26/4.12 (iskpair(Xu) => 24.26/4.12 singleton(dsetconstr(setunion(Xu),^[Xx]: (Xu = kpair(kfst(Xu),Xx))))))). 24.26/4.12 tff('88', plain, 24.26/4.12 ksndsingleton = 24.26/4.12 (![X4]: 24.26/4.12 (iskpair(X4) => 24.26/4.12 singleton(dsetconstr(setunion(X4),^[V_1]: (X4 = kpair(kfst(X4),V_1)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setukpairinjR, axiom, setukpairinjR <=> 24.26/4.12 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xy = Xu)))). 24.26/4.12 tff('89', plain, 24.26/4.12 setukpairinjR = 24.26/4.12 (![X4,X6,X8,X10]: ((kpair(X4,X6) = kpair(X8,X10)) => (X6 = X10))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setukpairinjR2, axiom, setukpairinjR2 <=> 24.26/4.12 (![Xx,Xy,Xz,Xu]: 24.26/4.12 ((setadjoin(setadjoin(Xx,emptyset), 24.26/4.12 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 24.26/4.12 setadjoin(setadjoin(Xz,emptyset), 24.26/4.12 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 24.26/4.12 (Xy = Xu)))). 24.26/4.12 tff('90', plain, 24.26/4.12 setukpairinjR2 = 24.26/4.12 (![X4,X6,X8,X10]: 24.26/4.12 ((setadjoin(setadjoin(X4,emptyset), 24.26/4.12 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 24.26/4.12 setadjoin(setadjoin(X8,emptyset), 24.26/4.12 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)),emptyset))) => 24.26/4.12 (X6 = X10))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(upairequniteq, axiom, upairequniteq <=> 24.26/4.12 (![Xx,Xy,Xz]: 24.26/4.12 ((setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xz,emptyset)) => 24.26/4.12 (Xx = Xy)))). 24.26/4.12 tff('91', plain, 24.26/4.12 upairequniteq = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 ((setadjoin(X4,setadjoin(X6,emptyset)) = setadjoin(X8,emptyset)) => 24.26/4.12 (X4 = X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setukpairinjR1, axiom, setukpairinjR1 <=> 24.26/4.12 (![Xx,Xy,Xz,Xu]: 24.26/4.12 ((setadjoin(setadjoin(Xx,emptyset), 24.26/4.12 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 24.26/4.12 setadjoin(setadjoin(Xz,emptyset), 24.26/4.12 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 24.26/4.12 ((Xz = Xu) => (Xy = Xu))))). 24.26/4.12 tff('92', plain, 24.26/4.12 setukpairinjR1 = 24.26/4.12 (![X4,X6,X8,X10]: 24.26/4.12 ((setadjoin(setadjoin(X4,emptyset), 24.26/4.12 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 24.26/4.12 setadjoin(setadjoin(X8,emptyset), 24.26/4.12 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)),emptyset))) => 24.26/4.12 ((X8 = X10) => (X6 = X10)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setukpairinjR12, axiom, setukpairinjR12 <=> 24.26/4.12 (![Xx,Xy]: 24.26/4.12 ((Xx = Xy) => 24.26/4.12 (setadjoin(setadjoin(Xx,emptyset), 24.26/4.12 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 24.26/4.12 setadjoin(setadjoin(Xx,emptyset),emptyset))))). 24.26/4.12 tff('93', plain, 24.26/4.12 setukpairinjR12 = 24.26/4.12 (![X4,X6]: 24.26/4.12 ((X4 = X6) => 24.26/4.12 (setadjoin(setadjoin(X4,emptyset), 24.26/4.12 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 24.26/4.12 setadjoin(setadjoin(X4,emptyset),emptyset)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setukpairinjR11, axiom, setukpairinjR11 <=> 24.26/4.12 (![Xx,Xy]: 24.26/4.12 ((Xx = Xy) => 24.26/4.12 (setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xx,emptyset))))). 24.26/4.12 tff('94', plain, 24.26/4.12 setukpairinjR11 = 24.26/4.12 (![X4,X6]: 24.26/4.12 ((X4 = X6) => 24.26/4.12 (setadjoin(X4,setadjoin(X6,emptyset)) = setadjoin(X4,emptyset)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setukpairinjL, axiom, setukpairinjL <=> 24.26/4.12 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xx = Xz)))). 24.26/4.12 tff('95', plain, 24.26/4.12 setukpairinjL = 24.26/4.12 (![X4,X6,X8,X10]: ((kpair(X4,X6) = kpair(X8,X10)) => (X4 = X8))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setukpairinjL2, axiom, setukpairinjL2 <=> 24.26/4.12 (![Xx,Xy,Xz,Xu]: 24.26/4.12 ((setadjoin(setadjoin(Xx,emptyset), 24.26/4.12 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 24.26/4.12 setadjoin(setadjoin(Xz,emptyset), 24.26/4.12 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 24.26/4.12 (Xx = Xz)))). 24.26/4.12 tff('96', plain, 24.26/4.12 setukpairinjL2 = 24.26/4.12 (![X4,X6,X8,X10]: 24.26/4.12 ((setadjoin(setadjoin(X4,emptyset), 24.26/4.12 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset)) = 24.26/4.12 setadjoin(setadjoin(X8,emptyset), 24.26/4.12 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)),emptyset))) => 24.26/4.12 (X4 = X8))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(cartprodfstin, axiom, cartprodfstin <=> 24.26/4.12 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(kfst(Xu),A)))). 24.26/4.12 tff('97', plain, 24.26/4.12 cartprodfstin = 24.26/4.12 (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => in(kfst(X8),X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(kfstpairEq, axiom, kfstpairEq <=> (![Xx,Xy]: (kfst(kpair(Xx,Xy)) = Xx))). 24.26/4.12 tff('98', plain, kfstpairEq = (![X4,X6]: (kfst(kpair(X4,X6)) = X4)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(theprop, axiom, theprop <=> (![X]: (singleton(X) => in(setunion(X),X)))). 24.26/4.12 tff('99', plain, theprop = (![X4]: (singleton(X4) => in(setunion(X4),X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(kfstsingleton, axiom, kfstsingleton <=> 24.26/4.12 (![Xu]: 24.26/4.12 (iskpair(Xu) => 24.26/4.12 singleton(dsetconstr(setunion(Xu),^[Xx]: in(setadjoin(Xx,emptyset),Xu)))))). 24.26/4.12 tff('100', plain, 24.26/4.12 kfstsingleton = 24.26/4.12 (![X4]: 24.26/4.12 (iskpair(X4) => 24.26/4.12 singleton(dsetconstr(setunion(X4), 24.26/4.12 ^[V_1]: in(setadjoin(V_1,emptyset),X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setukpairinjL1, axiom, setukpairinjL1 <=> 24.26/4.12 (![Xx,Xy,Xz]: 24.26/4.12 (in(setadjoin(Xz,emptyset), 24.26/4.12 setadjoin(setadjoin(Xx,emptyset), 24.26/4.12 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset))) => 24.26/4.12 (Xx = Xz)))). 24.26/4.12 tff('101', plain, 24.26/4.12 setukpairinjL1 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(setadjoin(X8,emptyset), 24.26/4.12 setadjoin(setadjoin(X4,emptyset), 24.26/4.12 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)),emptyset))) => 24.26/4.12 (X4 = X8))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(singletonsuniq, axiom, singletonsuniq <=> 24.26/4.12 (![Xx,Xy]: ((setadjoin(Xx,emptyset) = setadjoin(Xy,emptyset)) => (Xx = Xy)))). 24.26/4.12 tff('102', plain, 24.26/4.12 singletonsuniq = 24.26/4.12 (![X4,X6]: 24.26/4.12 ((setadjoin(X4,emptyset) = setadjoin(X6,emptyset)) => (X4 = X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ex1I2, axiom, ex1I2 <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: 24.26/4.12 ((![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 24.26/4.12 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => ex1(A,^[Xx]: Xphi(Xx)))))). 24.26/4.12 tff('103', plain, 24.26/4.12 ex1I2 = 24.26/4.12 (![X4,X6:(($i > $o))]: 24.26/4.12 ((![X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: (in(X10,X4) => (X6(X8) => (X6(X10) => (X8 = X10))))))) => 24.26/4.12 ((?[X12]: (X6(X12) & in(X12,X4))) => ex1(X4,^[V_1]: X6(V_1))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ex1I, axiom, ex1I <=> 24.26/4.12 (![A,Xphi:(($i > $o)),Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (Xphi(Xx) => 24.26/4.12 ((![Xy]: (in(Xy,A) => (Xphi(Xy) => (Xy = Xx)))) => 24.26/4.12 ex1(A,^[Xy]: Xphi(Xy))))))). 24.26/4.12 tff('104', plain, 24.26/4.12 ex1I = 24.26/4.12 (![X4,X6:(($i > $o)),X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (X6(X8) => 24.26/4.12 ((![X10]: (in(X10,X4) => (X6(X10) => (X10 = X8)))) => 24.26/4.12 ex1(X4,^[V_1]: X6(V_1)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ex1E1, axiom, ex1E1 <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: 24.26/4.12 (ex1(A,^[Xx]: Xphi(Xx)) => (?[Xx]: (Xphi(Xx) & in(Xx,A)))))). 24.26/4.12 tff('105', plain, 24.26/4.12 ex1E1 = 24.26/4.12 (![X4,X6:(($i > $o))]: 24.26/4.12 (ex1(X4,^[V_1]: X6(V_1)) => (?[X8]: (X6(X8) & in(X8,X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ex1, axiom, ex1() = 24.26/4.12 ^[A,Xphi:(($i > $o))]: singleton(dsetconstr(A,^[Xx]: Xphi(Xx)))). 24.26/4.12 tff('106', plain, 24.26/4.12 ex1 = (^[A,Xphi:(($i > $o))]: singleton(dsetconstr(A,^[Xx]: Xphi(Xx)))), 24.26/4.12 inference('simplify_rw_rule', [status(thm)], [ex1])). 24.26/4.12 tff('107', plain, 24.26/4.12 ex1 = 24.26/4.12 (^[V_1,V_2:(($i > $o))]: singleton(dsetconstr(V_1,^[V_3]: V_2(V_3)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(singletonprop, axiom, singletonprop <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: 24.26/4.12 ((![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 24.26/4.12 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 24.26/4.12 singleton(dsetconstr(A,^[Xx]: Xphi(Xx))))))). 24.26/4.12 tff('108', plain, 24.26/4.12 singletonprop = 24.26/4.12 (![X4,X6:(($i > $o))]: 24.26/4.12 ((![X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: (in(X10,X4) => (X6(X8) => (X6(X10) => (X8 = X10))))))) => 24.26/4.12 ((?[X12]: (X6(X12) & in(X12,X4))) => 24.26/4.12 singleton(dsetconstr(X4,^[V_1]: X6(V_1)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setunionsingleton, axiom, setunionsingleton <=> 24.26/4.12 (![Xx]: (setunion(setadjoin(Xx,emptyset)) = Xx))). 24.26/4.12 tff('109', plain, 24.26/4.12 setunionsingleton = (![X4]: (setunion(setadjoin(X4,emptyset)) = X4)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setunionsingleton2, axiom, setunionsingleton2 <=> 24.26/4.12 (![A]: subset(A,setunion(setadjoin(A,emptyset))))). 24.26/4.12 tff('110', plain, 24.26/4.12 setunionsingleton2 = (![X4]: subset(X4,setunion(setadjoin(X4,emptyset)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setunionsingleton1, axiom, setunionsingleton1 <=> 24.26/4.12 (![A]: subset(setunion(setadjoin(A,emptyset)),A))). 24.26/4.12 tff('111', plain, 24.26/4.12 setunionsingleton1 = (![X4]: subset(setunion(setadjoin(X4,emptyset)),X4)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setunionE2, axiom, setunionE2 <=> 24.26/4.12 (![A,Xx]: (in(Xx,setunion(A)) => (?[X]: (in(Xx,X) & in(X,A)))))). 24.26/4.12 tff('112', plain, 24.26/4.12 setunionE2 = 24.26/4.12 (![X4,X6]: (in(X6,setunion(X4)) => (?[X8]: (in(X6,X8) & in(X8,X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(cartprodmempair, axiom, cartprodmempair <=> 24.26/4.12 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => iskpair(Xu)))). 24.26/4.12 tff('113', plain, 24.26/4.12 cartprodmempair = (![X4,X6,X8]: (in(X8,cartprod(X4,X6)) => iskpair(X8))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(cartprodmempair1, axiom, cartprodmempair1 <=> 24.26/4.12 (![A,B,Xu]: 24.26/4.12 (in(Xu,cartprod(A,B)) => 24.26/4.12 (?[Xx]: ((?[Xy]: ((Xu = kpair(Xx,Xy)) & in(Xy,B))) & in(Xx,A)))))). 24.26/4.12 tff('114', plain, 24.26/4.12 cartprodmempair1 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,cartprod(X4,X6)) => 24.26/4.12 (?[X10]: 24.26/4.12 ((?[X12]: ((X8 = kpair(X10,X12)) & in(X12,X6))) & in(X10,X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(cartprodpairin, axiom, cartprodpairin <=> 24.26/4.12 (![A,B,Xx]: 24.26/4.12 (in(Xx,A) => (![Xy]: (in(Xy,B) => in(kpair(Xx,Xy),cartprod(A,B))))))). 24.26/4.12 tff('115', plain, 24.26/4.12 cartprodpairin = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: (in(X10,X6) => in(kpair(X8,X10),cartprod(X4,X6)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ubforcartprodlem3, axiom, ubforcartprodlem3 <=> 24.26/4.12 (![A,B,Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => in(kpair(Xx,Xy),powerset(powerset(binunion(A,B))))))))). 24.26/4.12 tff('116', plain, 24.26/4.12 ubforcartprodlem3 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X6) => 24.26/4.12 in(kpair(X8,X10),powerset(powerset(binunion(X4,X6)))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ubforcartprodlem2, axiom, ubforcartprodlem2 <=> 24.26/4.12 (![A,B,Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => 24.26/4.12 in(setadjoin(setadjoin(Xx,emptyset), 24.26/4.12 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 24.26/4.12 emptyset)), 24.26/4.12 powerset(powerset(binunion(A,B))))))))). 24.26/4.12 tff('117', plain, 24.26/4.12 ubforcartprodlem2 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X6) => 24.26/4.12 in(setadjoin(setadjoin(X8,emptyset), 24.26/4.12 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)), 24.26/4.12 emptyset)), 24.26/4.12 powerset(powerset(binunion(X4,X6)))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(ubforcartprodlem1, axiom, ubforcartprodlem1 <=> 24.26/4.12 (![A,B,Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => 24.26/4.12 subset(setadjoin(setadjoin(Xx,emptyset), 24.26/4.12 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 24.26/4.12 emptyset)), 24.26/4.12 powerset(binunion(A,B)))))))). 24.26/4.12 tff('118', plain, 24.26/4.12 ubforcartprodlem1 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X6) => 24.26/4.12 subset(setadjoin(setadjoin(X8,emptyset), 24.26/4.12 setadjoin(setadjoin(X8,setadjoin(X10,emptyset)), 24.26/4.12 emptyset)), 24.26/4.12 powerset(binunion(X4,X6))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(upairinpowunion, axiom, upairinpowunion <=> 24.26/4.12 (![A,B,Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => 24.26/4.12 in(setadjoin(Xx,setadjoin(Xy,emptyset)),powerset(binunion(A,B)))))))). 24.26/4.12 tff('119', plain, 24.26/4.12 upairinpowunion = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X6) => 24.26/4.12 in(setadjoin(X8,setadjoin(X10,emptyset)), 24.26/4.12 powerset(binunion(X4,X6))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(upairsubunion, axiom, upairsubunion <=> 24.26/4.12 (![A,B,Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: 24.26/4.12 (in(Xy,B) => 24.26/4.12 subset(setadjoin(Xx,setadjoin(Xy,emptyset)),binunion(A,B))))))). 24.26/4.12 tff('120', plain, 24.26/4.12 upairsubunion = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,X4) => 24.26/4.12 (![X10]: 24.26/4.12 (in(X10,X6) => 24.26/4.12 subset(setadjoin(X8,setadjoin(X10,emptyset)),binunion(X4,X6)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(upairset2E, axiom, upairset2E <=> 24.26/4.12 (![Xx,Xy,Xz]: 24.26/4.12 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xx) | (Xz = Xy))))). 24.26/4.12 tff('121', plain, 24.26/4.12 upairset2E = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,setadjoin(X4,setadjoin(X6,emptyset))) => 24.26/4.12 ((X8 = X4) | (X8 = X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(singletoninpowunion, axiom, singletoninpowunion <=> 24.26/4.12 (![A,B,Xx]: 24.26/4.12 (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(binunion(A,B)))))). 24.26/4.12 tff('122', plain, 24.26/4.12 singletoninpowunion = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,X4) => in(setadjoin(X8,emptyset),powerset(binunion(X4,X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(singletoninpowerset, axiom, singletoninpowerset <=> 24.26/4.12 (![A,Xx]: (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(A))))). 24.26/4.12 tff('123', plain, 24.26/4.12 singletoninpowerset = 24.26/4.12 (![X4,X6]: (in(X6,X4) => in(setadjoin(X6,emptyset),powerset(X4)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(singletonsubset, axiom, singletonsubset <=> 24.26/4.12 (![A,Xx]: (in(Xx,A) => subset(setadjoin(Xx,emptyset),A)))). 24.26/4.12 tff('124', plain, 24.26/4.12 singletonsubset = 24.26/4.12 (![X4,X6]: (in(X6,X4) => subset(setadjoin(X6,emptyset),X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(kpairp, axiom, kpairp <=> (![Xx,Xy]: iskpair(kpair(Xx,Xy)))). 24.26/4.12 tff('125', plain, kpairp = (![X4,X6]: iskpair(kpair(X4,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(kpairiskpair, axiom, kpairiskpair <=> 24.26/4.12 (![Xx,Xy]: 24.26/4.12 iskpair(setadjoin(setadjoin(Xx,emptyset), 24.26/4.12 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 24.26/4.12 emptyset))))). 24.26/4.12 tff('126', plain, 24.26/4.12 kpairiskpair = 24.26/4.12 (![X4,X6]: 24.26/4.12 iskpair(setadjoin(setadjoin(X4,emptyset), 24.26/4.12 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)), 24.26/4.12 emptyset)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setukpairIR, axiom, setukpairIR <=> 24.26/4.12 (![Xx,Xy]: 24.26/4.12 in(Xy, 24.26/4.12 setunion(setadjoin(setadjoin(Xx,emptyset), 24.26/4.12 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 24.26/4.12 emptyset)))))). 24.26/4.12 tff('127', plain, 24.26/4.12 setukpairIR = 24.26/4.12 (![X4,X6]: 24.26/4.12 in(X6, 24.26/4.12 setunion(setadjoin(setadjoin(X4,emptyset), 24.26/4.12 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)), 24.26/4.12 emptyset))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setukpairIL, axiom, setukpairIL <=> 24.26/4.12 (![Xx,Xy]: 24.26/4.12 in(Xx, 24.26/4.12 setunion(setadjoin(setadjoin(Xx,emptyset), 24.26/4.12 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 24.26/4.12 emptyset)))))). 24.26/4.12 tff('128', plain, 24.26/4.12 setukpairIL = 24.26/4.12 (![X4,X6]: 24.26/4.12 in(X4, 24.26/4.12 setunion(setadjoin(setadjoin(X4,emptyset), 24.26/4.12 setadjoin(setadjoin(X4,setadjoin(X6,emptyset)), 24.26/4.12 emptyset))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(secondinupair, axiom, secondinupair <=> 24.26/4.12 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 24.26/4.12 tff('129', plain, 24.26/4.12 secondinupair = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(symdiffIneg2, axiom, symdiffIneg2 <=> 24.26/4.12 (![A,B,Xx]: ((~in(Xx,A)) => ((~in(Xx,B)) => (~in(Xx,symdiff(A,B))))))). 24.26/4.12 tff('130', plain, 24.26/4.12 symdiffIneg2 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 ((~in(X8,X4)) => ((~in(X8,X6)) => (~in(X8,symdiff(X4,X6)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(symdiffIneg1, axiom, symdiffIneg1 <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => (~in(Xx,symdiff(A,B))))))). 24.26/4.12 tff('131', plain, 24.26/4.12 symdiffIneg1 = 24.26/4.12 (![X4,X6,X8]: (in(X8,X4) => (in(X8,X6) => (~in(X8,symdiff(X4,X6)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(symdiffI2, axiom, symdiffI2 <=> 24.26/4.12 (![A,B,Xx]: ((~in(Xx,A)) => (in(Xx,B) => in(Xx,symdiff(A,B)))))). 24.26/4.12 tff('132', plain, 24.26/4.12 symdiffI2 = 24.26/4.12 (![X4,X6,X8]: ((~in(X8,X4)) => (in(X8,X6) => in(X8,symdiff(X4,X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(symdiffI1, axiom, symdiffI1 <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,symdiff(A,B)))))). 24.26/4.12 tff('133', plain, 24.26/4.12 symdiffI1 = 24.26/4.12 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => in(X8,symdiff(X4,X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(symdiffE, axiom, symdiffE <=> 24.26/4.12 (![A,B,Xx]: 24.26/4.12 (in(Xx,symdiff(A,B)) => 24.26/4.12 (![Xphi:$o]: 24.26/4.12 ((in(Xx,A) => ((~in(Xx,B)) => Xphi)) => 24.26/4.12 (((~in(Xx,A)) => (in(Xx,B) => Xphi)) => Xphi)))))). 24.26/4.12 tff('134', plain, 24.26/4.12 symdiffE = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,symdiff(X4,X6)) => 24.26/4.12 (![X10:$o]: 24.26/4.12 ((in(X8,X4) => ((~in(X8,X6)) => X10)) => 24.26/4.12 (((~in(X8,X4)) => (in(X8,X6) => X10)) => X10))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setminusSubset1, axiom, setminusSubset1 <=> 24.26/4.12 (![A,B]: ((setminus(A,B) = emptyset) => subset(A,B)))). 24.26/4.12 tff('135', plain, 24.26/4.12 setminusSubset1 = 24.26/4.12 (![X4,X6]: ((setminus(X4,X6) = emptyset) => subset(X4,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setminusLsub, axiom, setminusLsub <=> (![A,B]: subset(setminus(A,B),A))). 24.26/4.12 tff('136', plain, setminusLsub = (![X4,X6]: subset(setminus(X4,X6),X4)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setminusIRneg, axiom, setminusIRneg <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,B) => (~in(Xx,setminus(A,B)))))). 24.26/4.12 tff('137', plain, 24.26/4.12 setminusIRneg = (![X4,X6,X8]: (in(X8,X6) => (~in(X8,setminus(X4,X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setminusILneg, axiom, setminusILneg <=> 24.26/4.12 (![A,B,Xx]: ((~in(Xx,A)) => (~in(Xx,setminus(A,B)))))). 24.26/4.12 tff('138', plain, 24.26/4.12 setminusILneg = 24.26/4.12 (![X4,X6,X8]: ((~in(X8,X4)) => (~in(X8,setminus(X4,X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setminusELneg, axiom, setminusELneg <=> 24.26/4.12 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => ((~in(Xx,B)) => (~in(Xx,A)))))). 24.26/4.12 tff('139', plain, 24.26/4.12 setminusELneg = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 ((~in(X8,setminus(X4,X6))) => ((~in(X8,X6)) => (~in(X8,X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setminusERneg, axiom, setminusERneg <=> 24.26/4.12 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => (in(Xx,A) => in(Xx,B))))). 24.26/4.12 tff('140', plain, 24.26/4.12 setminusERneg = 24.26/4.12 (![X4,X6,X8]: ((~in(X8,setminus(X4,X6))) => (in(X8,X4) => in(X8,X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setminusSubset2, axiom, setminusSubset2 <=> 24.26/4.12 (![A,B]: (subset(A,B) => (setminus(A,B) = emptyset)))). 24.26/4.12 tff('141', plain, 24.26/4.12 setminusSubset2 = 24.26/4.12 (![X4,X6]: (subset(X4,X6) => (setminus(X4,X6) = emptyset))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setminusER, axiom, setminusER <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B))))). 24.26/4.12 tff('142', plain, 24.26/4.12 setminusER = (![X4,X6,X8]: (in(X8,setminus(X4,X6)) => (~in(X8,X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setminusEL, axiom, setminusEL <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,setminus(A,B)) => in(Xx,A)))). 24.26/4.12 tff('143', plain, 24.26/4.12 setminusEL = (![X4,X6,X8]: (in(X8,setminus(X4,X6)) => in(X8,X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setminusI, axiom, setminusI <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,setminus(A,B)))))). 24.26/4.12 tff('144', plain, 24.26/4.12 setminusI = 24.26/4.12 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => in(X8,setminus(X4,X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(bs114d, axiom, bs114d <=> 24.26/4.12 (![A,B,C]: 24.26/4.12 (binintersect(A,binunion(B,C)) = 24.26/4.12 binunion(binintersect(A,B),binintersect(A,C))))). 24.26/4.12 tff('145', plain, 24.26/4.12 bs114d = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (binintersect(X4,binunion(X6,X8)) = 24.26/4.12 binunion(binintersect(X4,X6),binintersect(X4,X8)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectSubset1, axiom, binintersectSubset1 <=> 24.26/4.12 (![A,B]: ((binintersect(A,B) = A) => subset(A,B)))). 24.26/4.12 tff('146', plain, 24.26/4.12 binintersectSubset1 = 24.26/4.12 (![X4,X6]: ((binintersect(X4,X6) = X4) => subset(X4,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectSubset4, axiom, binintersectSubset4 <=> 24.26/4.12 (![A,B]: (subset(B,A) => (binintersect(A,B) = B)))). 24.26/4.12 tff('147', plain, 24.26/4.12 binintersectSubset4 = 24.26/4.12 (![X4,X6]: (subset(X6,X4) => (binintersect(X4,X6) = X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectRsub, axiom, binintersectRsub <=> 24.26/4.12 (![A,B]: subset(binintersect(A,B),B))). 24.26/4.12 tff('148', plain, 24.26/4.12 binintersectRsub = (![X4,X6]: subset(binintersect(X4,X6),X6)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(disjointsetsI1, axiom, disjointsetsI1 <=> 24.26/4.12 (![A,B]: 24.26/4.12 ((~(?[Xx]: (in(Xx,B) & in(Xx,A)))) => (binintersect(A,B) = emptyset)))). 24.26/4.12 tff('149', plain, 24.26/4.12 disjointsetsI1 = 24.26/4.12 (![X4,X6]: 24.26/4.12 ((~(?[X8]: (in(X8,X6) & in(X8,X4)))) => 24.26/4.12 (binintersect(X4,X6) = emptyset))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectER, axiom, binintersectER <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,B)))). 24.26/4.12 tff('150', plain, 24.26/4.12 binintersectER = (![X4,X6,X8]: (in(X8,binintersect(X4,X6)) => in(X8,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectSubset3, axiom, binintersectSubset3 <=> 24.26/4.12 (![A,B]: ((binintersect(A,B) = B) => subset(B,A)))). 24.26/4.12 tff('151', plain, 24.26/4.12 binintersectSubset3 = 24.26/4.12 (![X4,X6]: ((binintersect(X4,X6) = X6) => subset(X6,X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectSubset2, axiom, binintersectSubset2 <=> 24.26/4.12 (![A,B]: (subset(A,B) => (binintersect(A,B) = A)))). 24.26/4.12 tff('152', plain, 24.26/4.12 binintersectSubset2 = 24.26/4.12 (![X4,X6]: (subset(X4,X6) => (binintersect(X4,X6) = X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectLsub, axiom, binintersectLsub <=> 24.26/4.12 (![A,B]: subset(binintersect(A,B),A))). 24.26/4.12 tff('153', plain, 24.26/4.12 binintersectLsub = (![X4,X6]: subset(binintersect(X4,X6),X4)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectEL, axiom, binintersectEL <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,A)))). 24.26/4.12 tff('154', plain, 24.26/4.12 binintersectEL = (![X4,X6,X8]: (in(X8,binintersect(X4,X6)) => in(X8,X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectSubset5, axiom, binintersectSubset5 <=> 24.26/4.12 (![A,B,C]: (subset(C,A) => (subset(C,B) => subset(C,binintersect(A,B)))))). 24.26/4.12 tff('155', plain, 24.26/4.12 binintersectSubset5 = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (subset(X8,X4) => (subset(X8,X6) => subset(X8,binintersect(X4,X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binintersectI, axiom, binintersectI <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => in(Xx,binintersect(A,B)))))). 24.26/4.12 tff('156', plain, 24.26/4.12 binintersectI = 24.26/4.12 (![X4,X6,X8]: (in(X8,X4) => (in(X8,X6) => in(X8,binintersect(X4,X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binunionRsub, axiom, binunionRsub <=> (![A,B]: subset(B,binunion(A,B)))). 24.26/4.12 tff('157', plain, binunionRsub = (![X4,X6]: subset(X6,binunion(X4,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binunionLsub, axiom, binunionLsub <=> (![A,B]: subset(A,binunion(A,B)))). 24.26/4.12 tff('158', plain, binunionLsub = (![X4,X6]: subset(X4,binunion(X4,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binunionE, axiom, binunionE <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,binunion(A,B)) => (in(Xx,A) | in(Xx,B))))). 24.26/4.12 tff('159', plain, 24.26/4.12 binunionE = 24.26/4.12 (![X4,X6,X8]: (in(X8,binunion(X4,X6)) => (in(X8,X4) | in(X8,X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binunionEcases, axiom, binunionEcases <=> 24.26/4.12 (![A,B,Xx,Xphi:$o]: 24.26/4.12 (in(Xx,binunion(A,B)) => 24.26/4.12 ((in(Xx,A) => Xphi) => ((in(Xx,B) => Xphi) => Xphi))))). 24.26/4.12 tff('160', plain, 24.26/4.12 binunionEcases = 24.26/4.12 (![X4,X6,X8,X10:$o]: 24.26/4.12 (in(X8,binunion(X4,X6)) => 24.26/4.12 ((in(X8,X4) => X10) => ((in(X8,X6) => X10) => X10)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binunionIR, axiom, binunionIR <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,B) => in(Xx,binunion(A,B))))). 24.26/4.12 tff('161', plain, 24.26/4.12 binunionIR = (![X4,X6,X8]: (in(X8,X6) => in(X8,binunion(X4,X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(upairset2IR, axiom, upairset2IR <=> 24.26/4.12 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 24.26/4.12 tff('162', plain, 24.26/4.12 upairset2IR = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(binunionIL, axiom, binunionIL <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,A) => in(Xx,binunion(A,B))))). 24.26/4.12 tff('163', plain, 24.26/4.12 binunionIL = (![X4,X6,X8]: (in(X8,X4) => in(X8,binunion(X4,X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(sepSubset, axiom, sepSubset <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: subset(dsetconstr(A,^[Xx]: Xphi(Xx)),A))). 24.26/4.12 tff('164', plain, 24.26/4.12 sepSubset = 24.26/4.12 (![X4,X6:(($i > $o))]: subset(dsetconstr(X4,^[V_1]: X6(V_1)),X4)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(sepInPowerset, axiom, sepInPowerset <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: in(dsetconstr(A,^[Xx]: Xphi(Xx)),powerset(A)))). 24.26/4.12 tff('165', plain, 24.26/4.12 sepInPowerset = 24.26/4.12 (![X4,X6:(($i > $o))]: in(dsetconstr(X4,^[V_1]: X6(V_1)),powerset(X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(powersetsubset, axiom, powersetsubset <=> 24.26/4.12 (![A,B]: (subset(A,B) => subset(powerset(A),powerset(B))))). 24.26/4.12 tff('166', plain, 24.26/4.12 powersetsubset = 24.26/4.12 (![X4,X6]: (subset(X4,X6) => subset(powerset(X4),powerset(X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(inPowerset, axiom, inPowerset <=> (![A]: in(A,powerset(A)))). 24.26/4.12 tff('167', plain, inPowerset = (![X4]: in(X4,powerset(X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(powersetE1, axiom, powersetE1 <=> 24.26/4.12 (![A,B]: (in(B,powerset(A)) => subset(B,A)))). 24.26/4.12 tff('168', plain, 24.26/4.12 powersetE1 = (![X4,X6]: (in(X6,powerset(X4)) => subset(X6,X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(powersetI1, axiom, powersetI1 <=> 24.26/4.12 (![A,B]: (subset(B,A) => in(B,powerset(A))))). 24.26/4.12 tff('169', plain, 24.26/4.12 powersetI1 = (![X4,X6]: (subset(X6,X4) => in(X6,powerset(X4)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(subsetemptysetimpeq, axiom, subsetemptysetimpeq <=> 24.26/4.12 (![A]: (subset(A,emptyset) => (A = emptyset)))). 24.26/4.12 tff('170', plain, 24.26/4.12 subsetemptysetimpeq = (![X4]: (subset(X4,emptyset) => (X4 = emptyset))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setextsub, axiom, setextsub <=> 24.26/4.12 (![A,B]: (subset(A,B) => (subset(B,A) => (A = B))))). 24.26/4.12 tff('171', plain, 24.26/4.12 setextsub = (![X4,X6]: (subset(X4,X6) => (subset(X6,X4) => (X4 = X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(subset2powerset, axiom, subset2powerset <=> 24.26/4.12 (![A,B]: (subset(A,B) => in(A,powerset(B))))). 24.26/4.12 tff('172', plain, 24.26/4.12 subset2powerset = (![X4,X6]: (subset(X4,X6) => in(X4,powerset(X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setadjoinSub2, axiom, setadjoinSub2 <=> 24.26/4.12 (![A,Xx,B]: (subset(A,B) => subset(A,setadjoin(Xx,B))))). 24.26/4.12 tff('173', plain, 24.26/4.12 setadjoinSub2 = 24.26/4.12 (![X4,X6,X8]: (subset(X4,X8) => subset(X4,setadjoin(X6,X8)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setadjoinSub, axiom, setadjoinSub <=> 24.26/4.12 (![Xx,A]: subset(A,setadjoin(Xx,A)))). 24.26/4.12 tff('174', plain, setadjoinSub = (![X4,X6]: subset(X6,setadjoin(X4,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(subsetTrans, axiom, subsetTrans <=> 24.26/4.12 (![A,B,C]: (subset(A,B) => (subset(B,C) => subset(A,C))))). 24.26/4.12 tff('175', plain, 24.26/4.12 subsetTrans = 24.26/4.12 (![X4,X6,X8]: (subset(X4,X6) => (subset(X6,X8) => subset(X4,X8)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(subsetRefl, axiom, subsetRefl <=> (![A]: subset(A,A))). 24.26/4.12 tff('176', plain, subsetRefl = (![X4]: subset(X4,X4)), define([status(thm)])). 24.26/4.12 tff(notequalI2, axiom, notequalI2 <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (A != B))))). 24.26/4.12 tff('177', plain, 24.26/4.12 notequalI2 = (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => (X4 != X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(notequalI1, axiom, notequalI1 <=> (![A,B]: ((~subset(A,B)) => (A != B)))). 24.26/4.12 tff('178', plain, notequalI1 = (![X4,X6]: ((~subset(X4,X6)) => (X4 != X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(notsubsetI, axiom, notsubsetI <=> 24.26/4.12 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (~subset(A,B)))))). 24.26/4.12 tff('179', plain, 24.26/4.12 notsubsetI = 24.26/4.12 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => (~subset(X4,X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(subsetE2, axiom, subsetE2 <=> 24.26/4.12 (![A,B,Xx]: (subset(A,B) => ((~in(Xx,B)) => (~in(Xx,A)))))). 24.26/4.12 tff('180', plain, 24.26/4.12 subsetE2 = 24.26/4.12 (![X4,X6,X8]: (subset(X4,X6) => ((~in(X8,X6)) => (~in(X8,X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(subsetE, axiom, subsetE <=> 24.26/4.12 (![A,B,Xx]: (subset(A,B) => (in(Xx,A) => in(Xx,B))))). 24.26/4.12 tff('181', plain, 24.26/4.12 subsetE = (![X4,X6,X8]: (subset(X4,X6) => (in(X8,X4) => in(X8,X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(emptysetsubset, axiom, emptysetsubset <=> (![A]: subset(emptyset,A))). 24.26/4.12 tff('182', plain, emptysetsubset = (![X4]: subset(emptyset,X4)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(subsetI2, axiom, subsetI2 <=> 24.26/4.12 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 24.26/4.12 tff('183', plain, 24.26/4.12 subsetI2 = 24.26/4.12 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(eqimpsubset1, axiom, eqimpsubset1 <=> (![A,B]: ((A = B) => subset(A,B)))). 24.26/4.12 tff('184', plain, eqimpsubset1 = (![X4,X6]: ((X4 = X6) => subset(X4,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(eqimpsubset2, axiom, eqimpsubset2 <=> (![A,B]: ((A = B) => subset(B,A)))). 24.26/4.12 tff('185', plain, eqimpsubset2 = (![X4,X6]: ((X4 = X6) => subset(X6,X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(subsetI1, axiom, subsetI1 <=> 24.26/4.12 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 24.26/4.12 tff('186', plain, 24.26/4.12 subsetI1 = 24.26/4.12 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(dsetconstr__Cong, axiom, dsetconstr__Cong <=> 24.26/4.12 (![A,B]: 24.26/4.12 ((A = B) => 24.26/4.12 (![Xphi:(($i > $o)),Xpsi:(($i > $o))]: 24.26/4.12 ((![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (![Xy]: (in(Xy,B) => ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy))))))) => 24.26/4.12 (dsetconstr(A,^[Xx]: Xphi(Xx)) = dsetconstr(B,^[Xx]: Xpsi(Xx)))))))). 24.26/4.12 tff('187', plain, 24.26/4.12 dsetconstr__Cong = 24.26/4.12 (![X4,X6]: 24.26/4.12 ((X4 = X6) => 24.26/4.12 (![X8:(($i > $o)),X10:(($i > $o))]: 24.26/4.12 ((![X12]: 24.26/4.12 (in(X12,X4) => 24.26/4.12 (![X14]: 24.26/4.12 (in(X14,X6) => ((X12 = X14) => (X8(X12) <=> X10(X14))))))) => 24.26/4.12 (dsetconstr(X4,^[V_1]: X8(V_1)) = dsetconstr(X6,^[V_2]: X10(V_2))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(descr__Cong, axiom, descr__Cong <=> 24.26/4.12 (![Xphi:(($i > $o)),Xpsi:(($i > $o))]: 24.26/4.12 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 24.26/4.12 (exu(^[Xx]: Xphi(Xx)) => 24.26/4.12 (exu(^[Xx]: Xpsi(Xx)) => 24.26/4.12 (descr(^[Xx]: Xphi(Xx)) = descr(^[Xx]: Xpsi(Xx)))))))). 24.26/4.12 tff('188', plain, 24.26/4.12 descr__Cong = 24.26/4.12 (![X4:(($i > $o)),X6:(($i > $o))]: 24.26/4.12 ((![X8,X10]: ((X8 = X10) => (X4(X8) <=> X6(X10)))) => 24.26/4.12 (exu(^[V_1]: X4(V_1)) => 24.26/4.12 (exu(^[V_2]: X6(V_2)) => 24.26/4.12 (descr(^[V_3]: X4(V_3)) = descr(^[V_4]: X6(V_4))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(exuEu, axiom, exuEu <=> 24.26/4.12 (![Xphi:(($i > $o))]: 24.26/4.12 (exu(^[Xx]: Xphi(Xx)) => 24.26/4.12 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 24.26/4.12 tff('189', plain, 24.26/4.12 exuEu = 24.26/4.12 (![X4:(($i > $o))]: 24.26/4.12 (exu(^[V_1]: X4(V_1)) => (![X6,X8]: (X4(X6) => (X4(X8) => (X6 = X8)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(omega__Cong, axiom, omega__Cong <=> (omega = omega)). 24.26/4.12 tff('190', plain, omega__Cong = (omega = omega), define([status(thm)])). 24.26/4.12 tff(setunion__Cong, axiom, setunion__Cong <=> 24.26/4.12 (![A,B]: ((A = B) => (setunion(A) = setunion(B))))). 24.26/4.12 tff('191', plain, 24.26/4.12 setunion__Cong = (![X4,X6]: ((X4 = X6) => (setunion(X4) = setunion(X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(powerset__Cong, axiom, powerset__Cong <=> 24.26/4.12 (![A,B]: ((A = B) => (powerset(A) = powerset(B))))). 24.26/4.12 tff('192', plain, 24.26/4.12 powerset__Cong = (![X4,X6]: ((X4 = X6) => (powerset(X4) = powerset(X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setadjoin__Cong, axiom, setadjoin__Cong <=> 24.26/4.12 (![Xx,Xy]: 24.26/4.12 ((Xx = Xy) => 24.26/4.12 (![Xz,Xu]: ((Xz = Xu) => (setadjoin(Xx,Xz) = setadjoin(Xy,Xu))))))). 24.26/4.12 tff('193', plain, 24.26/4.12 setadjoin__Cong = 24.26/4.12 (![X4,X6]: 24.26/4.12 ((X4 = X6) => 24.26/4.12 (![X8,X10]: ((X8 = X10) => (setadjoin(X4,X8) = setadjoin(X6,X10)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(emptyset__Cong, axiom, emptyset__Cong <=> (emptyset = emptyset)). 24.26/4.12 tff('194', plain, emptyset__Cong = (emptyset = emptyset), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(exu__Cong, axiom, exu__Cong <=> 24.26/4.12 (![Xphi:(($i > $o)),Xpsi:(($i > $o))]: 24.26/4.12 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 24.26/4.12 (exu(^[Xx]: Xphi(Xx)) <=> exu(^[Xx]: Xpsi(Xx)))))). 24.26/4.12 tff('195', plain, 24.26/4.12 exu__Cong = 24.26/4.12 (![X4:(($i > $o)),X6:(($i > $o))]: 24.26/4.12 ((![X8,X10]: ((X8 = X10) => (X4(X8) <=> X6(X10)))) => 24.26/4.12 (exu(^[V_1]: X4(V_1)) <=> exu(^[V_2]: X6(V_2))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(exuE3u, axiom, exuE3u <=> 24.26/4.12 (![Xphi:(($i > $o))]: 24.26/4.12 (exu(^[Xx]: Xphi(Xx)) => 24.26/4.12 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 24.26/4.12 tff('196', plain, 24.26/4.12 exuE3u = 24.26/4.12 (![X4:(($i > $o))]: 24.26/4.12 (exu(^[V_1]: X4(V_1)) => (![X6,X8]: (X4(X6) => (X4(X8) => (X6 = X8)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(in__Cong, axiom, in__Cong <=> 24.26/4.12 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) <=> in(Xy,B))))))). 24.26/4.12 tff('197', plain, 24.26/4.12 in__Cong = 24.26/4.12 (![X4,X6]: 24.26/4.12 ((X4 = X6) => (![X8,X10]: ((X8 = X10) => (in(X8,X4) <=> in(X10,X6)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(inCongP, axiom, inCongP <=> 24.26/4.12 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) => in(Xy,B))))))). 24.26/4.12 tff('198', plain, 24.26/4.12 inCongP = 24.26/4.12 (![X4,X6]: 24.26/4.12 ((X4 = X6) => (![X8,X10]: ((X8 = X10) => (in(X8,X4) => in(X10,X6)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(exuI2, axiom, exuI2 <=> 24.26/4.12 (![Xphi:(($i > $o))]: 24.26/4.12 ((?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx)))) => exu(^[Xx]: Xphi(Xx))))). 24.26/4.12 tff('199', plain, 24.26/4.12 exuI2 = 24.26/4.12 (![X4:(($i > $o))]: 24.26/4.12 ((?[X6]: (![X8]: (X4(X8) <=> (X8 = X6)))) => exu(^[V_1]: X4(V_1)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(exuI3, axiom, exuI3 <=> 24.26/4.12 (![Xphi:(($i > $o))]: 24.26/4.12 ((?[Xx]: Xphi(Xx)) => 24.26/4.12 ((![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))) => 24.26/4.12 exu(^[Xx]: Xphi(Xx)))))). 24.26/4.12 tff('200', plain, 24.26/4.12 exuI3 = 24.26/4.12 (![X4:(($i > $o))]: 24.26/4.12 ((?[X6]: X4(X6)) => 24.26/4.12 ((![X8,X10]: (X4(X8) => (X4(X10) => (X8 = X10)))) => 24.26/4.12 exu(^[V_1]: X4(V_1))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(exuI1, axiom, exuI1 <=> 24.26/4.12 (![Xphi:(($i > $o))]: 24.26/4.12 ((?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx))) => 24.26/4.12 exu(^[Xx]: Xphi(Xx))))). 24.26/4.12 tff('201', plain, 24.26/4.12 exuI1 = 24.26/4.12 (![X4:(($i > $o))]: 24.26/4.12 ((?[X6]: ((![X8]: (X4(X8) => (X6 = X8))) & X4(X6))) => 24.26/4.12 exu(^[V_1]: X4(V_1)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(notdallE, axiom, notdallE <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: 24.26/4.12 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 24.26/4.12 tff('202', plain, 24.26/4.12 notdallE = 24.26/4.12 (![X4,X6:(($i > $o))]: 24.26/4.12 ((~(![X8]: (in(X8,X4) => X6(X8)))) => 24.26/4.12 (?[X10]: ((~X6(X10)) & in(X10,X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(notdexE, axiom, notdexE <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: 24.26/4.12 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 24.26/4.12 tff('203', plain, 24.26/4.12 notdexE = 24.26/4.12 (![X4,X6:(($i > $o))]: 24.26/4.12 ((~(?[X8]: (X6(X8) & in(X8,X4)))) => 24.26/4.12 (![X10]: (in(X10,X4) => (~X6(X10)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(prop2set2propI, axiom, prop2set2propI <=> 24.26/4.12 (![Xphi:$o]: (Xphi => set2prop(prop2set(Xphi))))). 24.26/4.12 tff('204', plain, 24.26/4.12 prop2set2propI = (![X4:$o]: (X4 => set2prop(prop2set(X4)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(prop2setI, axiom, prop2setI <=> 24.26/4.12 (![Xphi:$o]: (Xphi => in(emptyset,prop2set(Xphi))))). 24.26/4.12 tff('205', plain, prop2setI = (![X4:$o]: (X4 => in(emptyset,prop2set(X4)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(quantDeMorgan4, axiom, quantDeMorgan4 <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: 24.26/4.12 ((?[Xx]: ((~Xphi(Xx)) & in(Xx,A))) => (~(![Xx]: (in(Xx,A) => Xphi(Xx))))))). 24.26/4.12 tff('206', plain, 24.26/4.12 quantDeMorgan4 = 24.26/4.12 (![X4,X6:(($i > $o))]: 24.26/4.12 ((?[X8]: ((~X6(X8)) & in(X8,X4))) => 24.26/4.12 (~(![X10]: (in(X10,X4) => X6(X10)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(quantDeMorgan3, axiom, quantDeMorgan3 <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: 24.26/4.12 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 24.26/4.12 tff('207', plain, 24.26/4.12 quantDeMorgan3 = 24.26/4.12 (![X4,X6:(($i > $o))]: 24.26/4.12 ((~(?[X8]: (X6(X8) & in(X8,X4)))) => 24.26/4.12 (![X10]: (in(X10,X4) => (~X6(X10)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(quantDeMorgan2, axiom, quantDeMorgan2 <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: 24.26/4.12 ((![Xx]: (in(Xx,A) => (~Xphi(Xx)))) => (~(?[Xx]: (Xphi(Xx) & in(Xx,A))))))). 24.26/4.12 tff('208', plain, 24.26/4.12 quantDeMorgan2 = 24.26/4.12 (![X4,X6:(($i > $o))]: 24.26/4.12 ((![X8]: (in(X8,X4) => (~X6(X8)))) => 24.26/4.12 (~(?[X10]: (X6(X10) & in(X10,X4)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(quantDeMorgan1, axiom, quantDeMorgan1 <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: 24.26/4.12 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 24.26/4.12 tff('209', plain, 24.26/4.12 quantDeMorgan1 = 24.26/4.12 (![X4,X6:(($i > $o))]: 24.26/4.12 ((~(![X8]: (in(X8,X4) => X6(X8)))) => 24.26/4.12 (?[X10]: ((~X6(X10)) & in(X10,X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(vacuousDall, axiom, vacuousDall <=> 24.26/4.12 (![Xphi:(($i > $o)),Xx]: (in(Xx,emptyset) => Xphi(Xx)))). 24.26/4.12 tff('210', plain, 24.26/4.12 vacuousDall = (![X4:(($i > $o)),X6]: (in(X6,emptyset) => X4(X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(emptyE1, axiom, emptyE1 <=> 24.26/4.12 (![A,Xphi:(($i > $o))]: 24.26/4.12 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 24.26/4.12 ((dsetconstr(A,^[Xx]: Xphi(Xx)) = emptyset) => $false)))). 24.26/4.12 tff('211', plain, 24.26/4.12 emptyE1 = 24.26/4.12 (![X4,X6:(($i > $o))]: 24.26/4.12 ((?[X8]: (X6(X8) & in(X8,X4))) => 24.26/4.12 ((dsetconstr(X4,^[V_1]: X6(V_1)) = emptyset) => $false))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(upairsetIR, axiom, upairsetIR <=> 24.26/4.12 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 24.26/4.12 tff('212', plain, 24.26/4.12 upairsetIR = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(upairsetIL, axiom, upairsetIL <=> 24.26/4.12 (![Xx,Xy]: in(Xx,setadjoin(Xx,setadjoin(Xy,emptyset))))). 24.26/4.12 tff('213', plain, 24.26/4.12 upairsetIL = (![X4,X6]: in(X4,setadjoin(X4,setadjoin(X6,emptyset)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(upairsetE, axiom, upairsetE <=> 24.26/4.12 (![Xx,Xy,Xz]: 24.26/4.12 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xx) | (Xz = Xy))))). 24.26/4.12 tff('214', plain, 24.26/4.12 upairsetE = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,setadjoin(X4,setadjoin(X6,emptyset))) => 24.26/4.12 ((X8 = X4) | (X8 = X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(singletonsswitch, axiom, singletonsswitch <=> 24.26/4.12 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => in(Xy,setadjoin(Xx,emptyset))))). 24.26/4.12 tff('215', plain, 24.26/4.12 singletonsswitch = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X4,setadjoin(X6,emptyset)) => in(X6,setadjoin(X4,emptyset)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(eqinunit, axiom, eqinunit <=> 24.26/4.12 (![Xx,Xy]: ((Xx = Xy) => in(Xx,setadjoin(Xy,emptyset))))). 24.26/4.12 tff('216', plain, 24.26/4.12 eqinunit = (![X4,X6]: ((X4 = X6) => in(X4,setadjoin(X6,emptyset)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(notinsingleton, axiom, notinsingleton <=> 24.26/4.12 (![Xx,Xy]: ((Xx != Xy) => (~in(Xy,setadjoin(Xx,emptyset)))))). 24.26/4.12 tff('217', plain, 24.26/4.12 notinsingleton = 24.26/4.12 (![X4,X6]: ((X4 != X6) => (~in(X6,setadjoin(X4,emptyset))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(uniqinunit, axiom, uniqinunit <=> 24.26/4.12 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => (Xx = Xy)))). 24.26/4.12 tff('218', plain, 24.26/4.12 uniqinunit = (![X4,X6]: (in(X4,setadjoin(X6,emptyset)) => (X4 = X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(nonemptyImpWitness, axiom, nonemptyImpWitness <=> 24.26/4.12 (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))). 24.26/4.12 tff('219', plain, 24.26/4.12 nonemptyImpWitness = (![X4]: (nonempty(X4) => (?[X6]: in(X6,X4)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(exuE2, axiom, exuE2 <=> 24.26/4.12 (![Xphi:(($i > $o))]: 24.26/4.12 (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx))))))). 24.26/4.12 tff('220', plain, 24.26/4.12 exuE2 = 24.26/4.12 (![X4:(($i > $o))]: 24.26/4.12 (exu(^[V_1]: X4(V_1)) => (?[X6]: (![X8]: (X4(X8) <=> (X8 = X6)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(subPowSU, axiom, subPowSU <=> 24.26/4.12 (![A,Xx]: (in(Xx,A) => in(Xx,powerset(setunion(A)))))). 24.26/4.12 tff('221', plain, 24.26/4.12 subPowSU = (![X4,X6]: (in(X6,X4) => in(X6,powerset(setunion(X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setunionE, axiom, setunionE <=> 24.26/4.12 (![A,Xx]: 24.26/4.12 (in(Xx,setunion(A)) => 24.26/4.12 (![Xphi:$o]: ((![B]: (in(Xx,B) => (in(B,A) => Xphi))) => Xphi))))). 24.26/4.12 tff('222', plain, 24.26/4.12 setunionE = 24.26/4.12 (![X4,X6]: 24.26/4.12 (in(X6,setunion(X4)) => 24.26/4.12 (![X8:$o]: ((![X10]: (in(X6,X10) => (in(X10,X4) => X8))) => X8)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setunionI, axiom, setunionI <=> 24.26/4.12 (![A,Xx,B]: (in(Xx,B) => (in(B,A) => in(Xx,setunion(A)))))). 24.26/4.12 tff('223', plain, 24.26/4.12 setunionI = 24.26/4.12 (![X4,X6,X8]: (in(X6,X8) => (in(X8,X4) => in(X6,setunion(X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(powersetE, axiom, powersetE <=> 24.26/4.12 (![A,B,Xx]: (in(B,powerset(A)) => (in(Xx,B) => in(Xx,A))))). 24.26/4.12 tff('224', plain, 24.26/4.12 powersetE = 24.26/4.12 (![X4,X6,X8]: (in(X6,powerset(X4)) => (in(X8,X6) => in(X8,X4)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(emptyInPowerset, axiom, emptyInPowerset <=> 24.26/4.12 (![A]: in(emptyset,powerset(A)))). 24.26/4.12 tff('225', plain, emptyInPowerset = (![X4]: in(emptyset,powerset(X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(emptyinPowerset, axiom, emptyinPowerset <=> 24.26/4.12 (![A]: in(emptyset,powerset(A)))). 24.26/4.12 tff('226', plain, emptyinPowerset = (![X4]: in(emptyset,powerset(X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(powersetI, axiom, powersetI <=> 24.26/4.12 (![A,B]: ((![Xx]: (in(Xx,B) => in(Xx,A))) => in(B,powerset(A))))). 24.26/4.12 tff('227', plain, 24.26/4.12 powersetI = 24.26/4.12 (![X4,X6]: ((![X8]: (in(X8,X6) => in(X8,X4))) => in(X6,powerset(X4)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setoftrueEq, axiom, setoftrueEq <=> 24.26/4.12 (![A]: (dsetconstr(A,^[Xx]: $true) = A))). 24.26/4.12 tff('228', plain, setoftrueEq = (![X4]: (dsetconstr(X4,^[V_1]: $true) = X4)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setadjoinOr, axiom, setadjoinOr <=> 24.26/4.12 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) => ((Xy = Xx) | in(Xy,A))))). 24.26/4.12 tff('229', plain, 24.26/4.12 setadjoinOr = 24.26/4.12 (![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) => ((X8 = X4) | in(X8,X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setadjoinE, axiom, setadjoinE <=> 24.26/4.12 (![Xx,A,Xy]: 24.26/4.12 (in(Xy,setadjoin(Xx,A)) => 24.26/4.12 (![Xphi:$o]: (((Xy = Xx) => Xphi) => ((in(Xy,A) => Xphi) => Xphi)))))). 24.26/4.12 tff('230', plain, 24.26/4.12 setadjoinE = 24.26/4.12 (![X4,X6,X8]: 24.26/4.12 (in(X8,setadjoin(X4,X6)) => 24.26/4.12 (![X10:$o]: (((X8 = X4) => X10) => ((in(X8,X6) => X10) => X10))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setadjoinIR, axiom, setadjoinIR <=> 24.26/4.12 (![Xx,A,Xy]: (in(Xy,A) => in(Xy,setadjoin(Xx,A))))). 24.26/4.12 tff('231', plain, 24.26/4.12 setadjoinIR = (![X4,X6,X8]: (in(X8,X6) => in(X8,setadjoin(X4,X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(emptyinunitempty, axiom, emptyinunitempty() = 24.26/4.12 in(emptyset,setadjoin(emptyset,emptyset))). 24.26/4.12 tff('232', plain, 24.26/4.12 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 24.26/4.12 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 24.26/4.12 tff('233', plain, 24.26/4.12 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setadjoinIL, axiom, setadjoinIL <=> (![Xx,Xy]: in(Xx,setadjoin(Xx,Xy)))). 24.26/4.12 tff('234', plain, setadjoinIL = (![X4,X6]: in(X4,setadjoin(X4,X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(nonemptyI1, axiom, nonemptyI1 <=> 24.26/4.12 (![A]: ((?[Xx]: in(Xx,A)) => nonempty(A)))). 24.26/4.12 tff('235', plain, nonemptyI1 = (![X4]: ((?[X6]: in(X6,X4)) => nonempty(X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(nonemptyI, axiom, nonemptyI <=> 24.26/4.12 (![A,Xphi:(($i > $o)),Xx]: 24.26/4.12 (in(Xx,A) => (Xphi(Xx) => nonempty(dsetconstr(A,^[Xy]: Xphi(Xy))))))). 24.26/4.12 tff('236', plain, 24.26/4.12 nonemptyI = 24.26/4.12 (![X4,X6:(($i > $o)),X8]: 24.26/4.12 (in(X8,X4) => (X6(X8) => nonempty(dsetconstr(X4,^[V_1]: X6(V_1)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(nonemptyE1, axiom, nonemptyE1 <=> 24.26/4.12 (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))). 24.26/4.12 tff('237', plain, nonemptyE1 = (![X4]: (nonempty(X4) => (?[X6]: in(X6,X4)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(nonempty, axiom, nonempty() = ^[Xx]: (Xx != emptyset)). 24.26/4.12 tff('238', plain, nonempty = (^[Xx]: (Xx != emptyset)), 24.26/4.12 inference('simplify_rw_rule', [status(thm)], [nonempty])). 24.26/4.12 tff('239', plain, nonempty = (^[V_1]: (V_1 != emptyset)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setbeta, axiom, setbeta <=> 24.26/4.12 (![A,Xphi:(($i > $o)),Xx]: 24.26/4.12 (in(Xx,A) => (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) <=> Xphi(Xx))))). 24.26/4.12 tff('240', plain, 24.26/4.12 setbeta = 24.26/4.12 (![X4,X6:(($i > $o)),X8]: 24.26/4.12 (in(X8,X4) => (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) <=> X6(X8)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(noeltsimpempty, axiom, noeltsimpempty <=> 24.26/4.12 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 24.26/4.12 tff('241', plain, 24.26/4.12 noeltsimpempty = (![X4]: ((![X6]: (~in(X6,X4))) => (X4 = emptyset))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(emptyI, axiom, emptyI <=> 24.26/4.12 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 24.26/4.12 tff('242', plain, 24.26/4.12 emptyI = (![X4]: ((![X6]: (~in(X6,X4))) => (X4 = emptyset))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setext, axiom, setext <=> 24.26/4.12 (![A,B]: 24.26/4.12 ((![Xx]: (in(Xx,A) => in(Xx,B))) => 24.26/4.12 ((![Xx]: (in(Xx,B) => in(Xx,A))) => (A = B))))). 24.26/4.12 tff('243', plain, 24.26/4.12 setext = 24.26/4.12 (![X4,X6]: 24.26/4.12 ((![X8]: (in(X8,X4) => in(X8,X6))) => 24.26/4.12 ((![X10]: (in(X10,X6) => in(X10,X4))) => (X4 = X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(exuE3e, axiom, exuE3e <=> 24.26/4.12 (![Xphi:(($i > $o))]: (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: Xphi(Xx))))). 24.26/4.12 tff('244', plain, 24.26/4.12 exuE3e = (![X4:(($i > $o))]: (exu(^[V_1]: X4(V_1)) => (?[X6]: X4(X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(notinemptyset, axiom, notinemptyset <=> (![Xx]: (~in(Xx,emptyset)))). 24.26/4.12 tff('245', plain, notinemptyset = (![X4]: (~in(X4,emptyset))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(emptysetimpfalse, axiom, emptysetimpfalse <=> 24.26/4.12 (![Xx]: (in(Xx,emptyset) => $false))). 24.26/4.12 tff('246', plain, emptysetimpfalse = (![X4]: (in(X4,emptyset) => $false)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(emptysetE, axiom, emptysetE <=> 24.26/4.12 (![Xx]: (in(Xx,emptyset) => (![Xphi:$o]: Xphi)))). 24.26/4.12 tff('247', plain, emptysetE = (![X4]: (in(X4,emptyset) => (![X6:$o]: X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(prop2setE, axiom, prop2setE <=> 24.26/4.12 (![Xphi:$o,Xx]: (in(Xx,prop2set(Xphi)) => Xphi))). 24.26/4.12 tff('248', plain, prop2setE = (![X4:$o,X6]: (in(X6,prop2set(X4)) => X4)), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(exuE1, axiom, exuE1 <=> 24.26/4.12 (![Xphi:(($i > $o))]: 24.26/4.12 (exu(^[Xx]: Xphi(Xx)) => 24.26/4.12 (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))))). 24.26/4.12 tff('249', plain, 24.26/4.12 exuE1 = 24.26/4.12 (![X4:(($i > $o))]: 24.26/4.12 (exu(^[V_1]: X4(V_1)) => 24.26/4.12 (?[X6]: ((![X8]: (X4(X8) => (X6 = X8))) & X4(X6))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(dsetconstrER, axiom, dsetconstrER <=> 24.26/4.12 (![A,Xphi:(($i > $o)),Xx]: 24.26/4.12 (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => Xphi(Xx)))). 24.26/4.12 tff('250', plain, 24.26/4.12 dsetconstrER = 24.26/4.12 (![X4,X6:(($i > $o)),X8]: 24.26/4.12 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => X6(X8))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(dsetconstrEL, axiom, dsetconstrEL <=> 24.26/4.12 (![A,Xphi:(($i > $o)),Xx]: 24.26/4.12 (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => in(Xx,A)))). 24.26/4.12 tff('251', plain, 24.26/4.12 dsetconstrEL = 24.26/4.12 (![X4,X6:(($i > $o)),X8]: 24.26/4.12 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => in(X8,X4))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(dsetconstrI, axiom, dsetconstrI <=> 24.26/4.12 (![A,Xphi:(($i > $o)),Xx]: 24.26/4.12 (in(Xx,A) => (Xphi(Xx) => in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))))))). 24.26/4.12 tff('252', plain, 24.26/4.12 dsetconstrI = 24.26/4.12 (![X4,X6:(($i > $o)),X8]: 24.26/4.12 (in(X8,X4) => (X6(X8) => in(X8,dsetconstr(X4,^[V_1]: X6(V_1)))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(descrp, axiom, descrp <=> 24.26/4.12 (![Xphi:(($i > $o))]: 24.26/4.12 (exu(^[Xx]: Xphi(Xx)) => Xphi(descr(^[Xx]: Xphi(Xx)))))). 24.26/4.12 tff('253', plain, 24.26/4.12 descrp = 24.26/4.12 (![X4:(($i > $o))]: (exu(^[V_1]: X4(V_1)) => X4(descr(^[V_2]: X4(V_2))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(wellorderingAx, axiom, wellorderingAx <=> 24.26/4.12 (![A]: 24.26/4.12 (?[B]: 24.26/4.12 ((![C]: 24.26/4.12 (((![Xx]: (in(Xx,C) => in(Xx,A))) & (?[Xx]: in(Xx,C))) => 24.26/4.12 (?[D,Xx]: 24.26/4.12 ((![E]: 24.26/4.12 (in(E,B) => ((![Xy]: (in(Xy,E) => in(Xy,D))) | in(Xx,E)))) & 24.26/4.12 (~(?[Xy]: (in(Xy,C) & in(Xy,D)))) & in(Xx,C) & in(D,B))))) & 24.26/4.12 (![C,D]: 24.26/4.12 ((in(C,B) & in(D,B)) => 24.26/4.12 ((![Xx]: (in(Xx,C) => in(Xx,D))) | 24.26/4.12 (![Xx]: (in(Xx,D) => in(Xx,C)))))) & 24.26/4.12 (![Xx,Xy]: 24.26/4.12 ((in(Xx,A) & in(Xy,A)) => 24.26/4.12 ((![C]: (in(C,B) => (in(Xx,C) <=> in(Xy,C)))) => (Xx = Xy)))) & 24.26/4.12 (![C]: (in(C,B) => (![Xx]: (in(Xx,C) => in(Xx,A))))))))). 24.26/4.12 tff('254', plain, 24.26/4.12 wellorderingAx = 24.26/4.12 (![X4]: 24.26/4.12 (?[X6]: 24.26/4.12 ((![X8]: 24.26/4.12 (((![X10]: (in(X10,X8) => in(X10,X4))) & (?[X12]: in(X12,X8))) => 24.26/4.12 (?[X14,X16]: 24.26/4.12 ((![X18]: 24.26/4.12 (in(X18,X6) => 24.26/4.12 ((![X20]: (in(X20,X18) => in(X20,X14))) | in(X16,X18)))) & 24.26/4.12 (~(?[X22]: (in(X22,X8) & in(X22,X14)))) & in(X16,X8) & 24.26/4.12 in(X14,X6))))) & 24.26/4.12 (![X24,X26]: 24.26/4.12 ((in(X24,X6) & in(X26,X6)) => 24.26/4.12 ((![X28]: (in(X28,X24) => in(X28,X26))) | 24.26/4.12 (![X30]: (in(X30,X26) => in(X30,X24)))))) & 24.26/4.12 (![X32,X34]: 24.26/4.12 ((in(X32,X4) & in(X34,X4)) => 24.26/4.12 ((![X36]: (in(X36,X6) => (in(X32,X36) <=> in(X34,X36)))) => 24.26/4.12 (X32 = X34)))) & 24.26/4.12 (![X38]: (in(X38,X6) => (![X40]: (in(X40,X38) => in(X40,X4)))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(foundationAx, axiom, foundationAx <=> 24.26/4.12 (![A]: 24.26/4.12 ((?[Xx]: in(Xx,A)) => 24.26/4.12 (?[B]: ((~(?[Xx]: (in(Xx,A) & in(Xx,B)))) & in(B,A)))))). 24.26/4.12 tff('255', plain, 24.26/4.12 foundationAx = 24.26/4.12 (![X4]: 24.26/4.12 ((?[X6]: in(X6,X4)) => 24.26/4.12 (?[X8]: ((~(?[X10]: (in(X10,X4) & in(X10,X8)))) & in(X8,X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(replAx, axiom, replAx <=> 24.26/4.12 (![Xphi:(($i * $i) > $o),A]: 24.26/4.12 ((![Xx]: (in(Xx,A) => exu(^[Xy]: Xphi(Xx,Xy)))) => 24.26/4.12 (?[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: (Xphi(Xy,Xx) & in(Xy,A))))))))). 24.26/4.12 tff('256', plain, 24.26/4.12 replAx = 24.26/4.12 (![X4:(($i * $i) > $o),X6]: 24.26/4.12 ((![X8]: (in(X8,X6) => exu(^[V_1]: X4(X8,V_1)))) => 24.26/4.12 (?[X10]: 24.26/4.12 (![X12]: (in(X12,X10) <=> (?[X14]: (X4(X14,X12) & in(X14,X6)))))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(omegaIndAx, axiom, omegaIndAx <=> 24.26/4.12 (![A]: 24.26/4.12 ((in(emptyset,A) & 24.26/4.12 (![Xx]: ((in(Xx,omega) & in(Xx,A)) => in(setadjoin(Xx,Xx),A)))) => 24.26/4.12 (![Xx]: (in(Xx,omega) => in(Xx,A)))))). 24.26/4.12 tff('257', plain, 24.26/4.12 omegaIndAx = 24.26/4.12 (![X4]: 24.26/4.12 ((in(emptyset,X4) & 24.26/4.12 (![X6]: ((in(X6,omega) & in(X6,X4)) => in(setadjoin(X6,X6),X4)))) => 24.26/4.12 (![X8]: (in(X8,omega) => in(X8,X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(omegaSAx, axiom, omegaSAx <=> 24.26/4.12 (![Xx]: (in(Xx,omega) => in(setadjoin(Xx,Xx),omega)))). 24.26/4.12 tff('258', plain, 24.26/4.12 omegaSAx = (![X4]: (in(X4,omega) => in(setadjoin(X4,X4),omega))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(omega0Ax, axiom, omega0Ax() = in(emptyset,omega)). 24.26/4.12 tff('259', plain, omega0Ax = in(emptyset,omega), 24.26/4.12 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 24.26/4.12 tff('260', plain, omega0Ax = in(emptyset,omega), define([status(thm)])). 24.26/4.12 tff(setunionAx, axiom, setunionAx <=> 24.26/4.12 (![A,Xx]: (in(Xx,setunion(A)) <=> (?[B]: (in(B,A) & in(Xx,B)))))). 24.26/4.12 tff('261', plain, 24.26/4.12 setunionAx = 24.26/4.12 (![X4,X6]: (in(X6,setunion(X4)) <=> (?[X8]: (in(X8,X4) & in(X6,X8))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(powersetAx, axiom, powersetAx <=> 24.26/4.12 (![A,B]: (in(B,powerset(A)) <=> (![Xx]: (in(Xx,B) => in(Xx,A)))))). 24.26/4.12 tff('262', plain, 24.26/4.12 powersetAx = 24.26/4.12 (![X4,X6]: (in(X6,powerset(X4)) <=> (![X8]: (in(X8,X6) => in(X8,X4))))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setadjoinAx, axiom, setadjoinAx <=> 24.26/4.12 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) <=> ((Xy = Xx) | in(Xy,A))))). 24.26/4.12 tff('263', plain, 24.26/4.12 setadjoinAx = 24.26/4.12 (![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) <=> ((X8 = X4) | in(X8,X6)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(emptysetAx, axiom, emptysetAx <=> (![Xx]: (~in(Xx,emptyset)))). 24.26/4.12 tff('264', plain, emptysetAx = (![X4]: (~in(X4,emptyset))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(setextAx, axiom, setextAx <=> 24.26/4.12 (![A,B]: ((![Xx]: (in(Xx,A) <=> in(Xx,B))) => (A = B)))). 24.26/4.12 tff('265', plain, 24.26/4.12 setextAx = (![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(exu, axiom, exu() = 24.26/4.12 ^[Xphi:(($i > $o))]: (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))). 24.26/4.12 tff('266', plain, 24.26/4.12 exu = 24.26/4.12 (^[Xphi:(($i > $o))]: 24.26/4.12 (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))), 24.26/4.12 inference('simplify_rw_rule', [status(thm)], [exu])). 24.26/4.12 tff('267', plain, 24.26/4.12 exu = 24.26/4.12 (^[V_1:(($i > $o))]: (?[X4]: ((![X6]: (V_1(X6) => (X4 = X6))) & V_1(X4)))), 24.26/4.12 define([status(thm)])). 24.26/4.12 tff(inIntersectImpInIntersectUnions, conjecture, 24.26/4.12 (setextAx => 24.26/4.12 (emptysetAx => 24.26/4.12 (setadjoinAx => 24.26/4.12 (powersetAx => 24.26/4.12 (setunionAx => 24.26/4.12 (omega0Ax => 24.26/4.12 (omegaSAx => 24.26/4.12 (omegaIndAx => 24.26/4.12 (replAx => 24.26/4.12 (foundationAx => 24.26/4.12 (wellorderingAx => 24.26/4.12 (descrp => 24.26/4.12 (dsetconstrI => 24.26/4.12 (dsetconstrEL => 24.26/4.12 (dsetconstrER => 24.26/4.12 (exuE1 => 24.26/4.12 (prop2setE => 24.26/4.12 (emptysetE => 24.26/4.12 (emptysetimpfalse => 24.26/4.12 (notinemptyset => 24.26/4.12 (exuE3e => 24.26/4.12 (setext => 24.26/4.12 (emptyI => 24.26/4.12 (noeltsimpempty => 24.26/4.12 (setbeta => 24.26/4.12 (nonemptyE1 => 24.26/4.12 (nonemptyI => 24.26/4.12 (nonemptyI1 => 24.26/4.12 (setadjoinIL => 24.26/4.12 (emptyinunitempty => 24.26/4.12 (setadjoinIR => 24.26/4.12 (setadjoinE => 24.26/4.12 (setadjoinOr => 24.26/4.12 (setoftrueEq => 24.26/4.12 (powersetI => 24.26/4.12 (emptyinPowerset => 24.26/4.12 (emptyInPowerset => 24.26/4.12 (powersetE => 24.26/4.12 (setunionI => 24.26/4.12 (setunionE => 24.26/4.12 (subPowSU => 24.26/4.12 (exuE2 => 24.26/4.12 (nonemptyImpWitness => 24.26/4.12 (uniqinunit => 24.26/4.12 (notinsingleton => 24.26/4.12 (eqinunit => 24.26/4.12 (singletonsswitch => 24.26/4.12 (upairsetE => 24.26/4.12 (upairsetIL => 24.26/4.12 (upairsetIR => 24.26/4.12 (emptyE1 => 24.26/4.12 (vacuousDall => 24.26/4.12 (quantDeMorgan1 => 24.26/4.12 (quantDeMorgan2 => 24.26/4.12 (quantDeMorgan3 => 24.26/4.12 (quantDeMorgan4 => 24.26/4.12 (prop2setI => 24.26/4.12 (prop2set2propI => 24.26/4.12 (notdexE => 24.26/4.12 (notdallE => 24.26/4.12 (exuI1 => 24.26/4.12 (exuI3 => 24.26/4.12 (exuI2 => 24.26/4.12 (inCongP => 24.26/4.12 (in__Cong => 24.26/4.12 (exuE3u => 24.26/4.12 ( 24.26/4.12 exu__Cong => 24.26/4.12 ( 24.26/4.12 emptyset__Cong => 24.26/4.12 ( 24.26/4.12 setadjoin__Cong => 24.26/4.12 ( 24.26/4.12 powerset__Cong => 24.26/4.12 ( 24.26/4.12 setunion__Cong => 24.26/4.12 ( 24.26/4.12 omega__Cong => 24.26/4.12 ( 24.26/4.12 exuEu => 24.26/4.12 ( 24.26/4.12 descr__Cong => 24.26/4.12 ( 24.26/4.12 dsetconstr__Cong => 24.26/4.12 ( 24.26/4.12 subsetI1 => 24.26/4.12 ( 24.26/4.12 eqimpsubset2 => 24.26/4.12 ( 24.26/4.12 eqimpsubset1 => 24.26/4.12 ( 24.26/4.12 subsetI2 => 24.26/4.12 ( 24.26/4.12 emptysetsubset => 24.26/4.12 ( 24.26/4.12 subsetE => 24.26/4.12 ( 24.26/4.12 subsetE2 => 24.26/4.12 ( 24.26/4.12 notsubsetI => 24.26/4.12 ( 24.26/4.12 notequalI1 => 24.26/4.12 ( 24.26/4.12 notequalI2 => 24.26/4.12 ( 24.26/4.12 subsetRefl => 24.26/4.12 ( 24.26/4.12 subsetTrans => 24.26/4.12 ( 24.26/4.12 setadjoinSub => 24.26/4.12 ( 24.26/4.12 setadjoinSub2 => 24.26/4.12 ( 24.26/4.12 subset2powerset => 24.26/4.12 ( 24.26/4.12 setextsub => 24.26/4.12 ( 24.26/4.12 subsetemptysetimpeq => 24.26/4.12 ( 24.26/4.12 powersetI1 => 24.26/4.12 ( 24.26/4.12 powersetE1 => 24.26/4.12 ( 24.26/4.12 inPowerset => 24.26/4.12 ( 24.26/4.12 powersetsubset => 24.26/4.12 ( 24.26/4.12 sepInPowerset => 24.26/4.12 ( 24.26/4.12 sepSubset => 24.26/4.12 ( 24.26/4.12 binunionIL => 24.26/4.12 ( 24.26/4.12 upairset2IR => 24.26/4.12 ( 24.26/4.12 binunionIR => 24.26/4.12 ( 24.26/4.12 binunionEcases => 24.26/4.12 ( 24.26/4.12 binunionE => 24.26/4.12 ( 24.26/4.12 binunionLsub => 24.26/4.12 ( 24.26/4.12 binunionRsub => 24.26/4.12 ( 24.26/4.12 binintersectI => 24.26/4.12 ( 24.26/4.12 binintersectSubset5 => 24.26/4.12 ( 24.26/4.12 binintersectEL => 24.26/4.12 ( 24.26/4.12 binintersectLsub => 24.26/4.12 ( 24.26/4.12 binintersectSubset2 => 24.26/4.12 ( 24.26/4.12 binintersectSubset3 => 24.26/4.12 ( 24.26/4.12 binintersectER => 24.26/4.12 ( 24.26/4.12 disjointsetsI1 => 24.26/4.12 ( 24.26/4.12 binintersectRsub => 24.26/4.12 ( 24.26/4.12 binintersectSubset4 => 24.26/4.12 ( 24.26/4.12 binintersectSubset1 => 24.26/4.12 ( 24.26/4.12 bs114d => 24.26/4.12 ( 24.26/4.12 setminusI => 24.26/4.12 ( 24.26/4.12 setminusEL => 24.26/4.12 ( 24.26/4.12 setminusER => 24.26/4.12 ( 24.26/4.12 setminusSubset2 => 24.26/4.12 ( 24.26/4.12 setminusERneg => 24.26/4.12 ( 24.26/4.12 setminusELneg => 24.26/4.12 ( 24.26/4.12 setminusILneg => 24.26/4.12 ( 24.26/4.12 setminusIRneg => 24.26/4.12 ( 24.26/4.12 setminusLsub => 24.26/4.12 ( 24.26/4.12 setminusSubset1 => 24.26/4.12 ( 24.26/4.12 symdiffE => 24.26/4.12 ( 24.26/4.12 symdiffI1 => 24.26/4.12 ( 24.26/4.12 symdiffI2 => 24.26/4.12 ( 24.26/4.12 symdiffIneg1 => 24.26/4.12 ( 24.26/4.12 symdiffIneg2 => 24.26/4.12 ( 24.26/4.12 secondinupair => 24.26/4.12 ( 24.26/4.12 setukpairIL => 24.26/4.12 ( 24.26/4.12 setukpairIR => 24.26/4.12 ( 24.26/4.12 kpairiskpair => 24.26/4.12 ( 24.26/4.12 kpairp => 24.26/4.12 ( 24.26/4.12 singletonsubset => 24.26/4.12 ( 24.26/4.12 singletoninpowerset => 24.26/4.12 ( 24.26/4.12 singletoninpowunion => 24.26/4.12 ( 24.26/4.12 upairset2E => 24.26/4.12 ( 24.26/4.12 upairsubunion => 24.26/4.12 ( 24.26/4.12 upairinpowunion => 24.26/4.12 ( 24.26/4.12 ubforcartprodlem1 => 24.26/4.12 ( 24.26/4.12 ubforcartprodlem2 => 24.26/4.12 ( 24.26/4.12 ubforcartprodlem3 => 24.26/4.12 ( 24.26/4.12 cartprodpairin => 24.26/4.12 ( 24.26/4.12 cartprodmempair1 => 24.26/4.12 ( 24.26/4.12 cartprodmempair => 24.26/4.12 ( 24.26/4.12 setunionE2 => 24.26/4.12 ( 24.26/4.12 setunionsingleton1 => 24.26/4.12 ( 24.26/4.12 setunionsingleton2 => 24.26/4.12 ( 24.26/4.12 setunionsingleton => 24.26/4.12 ( 24.26/4.12 singletonprop => 24.26/4.12 ( 24.26/4.12 ex1E1 => 24.26/4.12 ( 24.26/4.12 ex1I => 24.26/4.12 ( 24.26/4.12 ex1I2 => 24.26/4.12 ( 24.26/4.12 singletonsuniq => 24.26/4.12 ( 24.26/4.12 setukpairinjL1 => 24.26/4.12 ( 24.26/4.12 kfstsingleton => 24.26/4.12 ( 24.26/4.12 theprop => 24.26/4.12 ( 24.26/4.12 kfstpairEq => 24.26/4.12 ( 24.26/4.12 cartprodfstin => 24.26/4.12 ( 24.26/4.12 setukpairinjL2 => 24.26/4.12 ( 24.26/4.12 setukpairinjL => 24.26/4.12 ( 24.26/4.12 setukpairinjR11 => 24.26/4.12 ( 24.26/4.12 setukpairinjR12 => 24.26/4.12 ( 24.26/4.12 setukpairinjR1 => 24.26/4.12 ( 24.26/4.12 upairequniteq => 24.26/4.12 ( 24.26/4.12 setukpairinjR2 => 24.26/4.12 ( 24.26/4.12 setukpairinjR => 24.26/4.12 ( 24.26/4.12 ksndsingleton => 24.26/4.12 ( 24.26/4.12 ksndpairEq => 24.26/4.12 ( 24.26/4.12 kpairsurjEq => 24.26/4.12 ( 24.26/4.12 cartprodsndin => 24.26/4.12 ( 24.26/4.12 cartprodpairmemEL => 24.26/4.12 ( 24.26/4.12 cartprodpairmemER => 24.26/4.12 ( 24.26/4.12 cartprodmempaircEq => 24.26/4.12 ( 24.26/4.12 cartprodfstpairEq => 24.26/4.12 ( 24.26/4.12 cartprodsndpairEq => 24.26/4.12 ( 24.26/4.12 cartprodpairsurjEq => 24.26/4.12 ( 24.26/4.12 dpsetconstrI => 24.26/4.12 ( 24.26/4.12 dpsetconstrSub => 24.26/4.12 ( 24.26/4.12 setOfPairsIsBReln => 24.26/4.12 ( 24.26/4.12 dpsetconstrERa => 24.26/4.12 ( 24.26/4.12 dpsetconstrEL1 => 24.26/4.12 ( 24.26/4.12 dpsetconstrEL2 => 24.26/4.12 ( 24.26/4.12 dpsetconstrER => 24.26/4.12 ( 24.26/4.12 funcImageSingleton => 24.26/4.12 ( 24.26/4.12 apProp => 24.26/4.12 ( 24.26/4.12 app => 24.26/4.12 ( 24.26/4.12 infuncsetfunc => 24.26/4.12 ( 24.26/4.12 ap2p => 24.26/4.12 ( 24.26/4.12 funcinfuncset => 24.26/4.12 ( 24.26/4.12 lamProp => 24.26/4.12 ( 24.26/4.12 lamp => 24.26/4.12 ( 24.26/4.12 lam2p => 24.26/4.12 ( 24.26/4.12 brelnall1 => 24.26/4.12 ( 24.26/4.12 brelnall2 => 24.26/4.12 ( 24.26/4.12 ex1E2 => 24.26/4.12 ( 24.26/4.12 funcGraphProp1 => 24.26/4.12 ( 24.26/4.12 funcGraphProp3 => 24.26/4.12 ( 24.26/4.12 funcGraphProp2 => 24.26/4.12 ( 24.26/4.12 funcextLem => 24.26/4.12 ( 24.26/4.12 funcGraphProp4 => 24.26/4.12 ( 24.26/4.12 subbreln => 24.26/4.12 ( 24.26/4.12 eqbreln => 24.26/4.12 ( 24.26/4.12 funcext => 24.26/4.12 ( 24.26/4.12 funcext2 => 24.26/4.12 ( 24.26/4.12 ap2apEq1 => 24.26/4.12 ( 24.26/4.12 ap2apEq2 => 24.26/4.12 ( 24.26/4.12 beta1 => 24.26/4.12 ( 24.26/4.12 eta1 => 24.26/4.12 ( 24.26/4.12 lam2lamEq => 24.26/4.12 ( 24.26/4.12 beta2 => 24.26/4.12 ( 24.26/4.12 eta2 => 24.26/4.12 ( 24.26/4.12 iffalseProp1 => 24.26/4.12 ( 24.26/4.12 iffalseProp2 => 24.26/4.12 ( 24.26/4.12 iftrueProp1 => 24.26/4.12 ( 24.26/4.12 iftrueProp2 => 24.26/4.12 ( 24.26/4.12 ifSingleton => 24.26/4.12 ( 24.26/4.12 ifp => 24.26/4.12 ( 24.26/4.12 theeq => 24.26/4.12 ( 24.26/4.12 iftrue => 24.26/4.12 ( 24.26/4.12 iffalse => 24.26/4.12 ( 24.26/4.12 iftrueorfalse => 24.26/4.12 ( 24.26/4.12 binintersectT_lem => 24.26/4.12 ( 24.26/4.12 binunionT_lem => 24.26/4.12 ( 24.26/4.12 powersetT_lem => 24.26/4.12 ( 24.26/4.12 setminusT_lem => 24.26/4.12 ( 24.26/4.12 complementT_lem => 24.26/4.12 ( 24.26/4.12 setextT => 24.26/4.12 ( 24.26/4.12 subsetTI => 24.26/4.12 ( 24.26/4.12 powersetTI1 => 24.26/4.12 ( 24.26/4.12 powersetTE1 => 24.26/4.12 ( 24.26/4.12 complementTI1 => 24.26/4.12 ( 24.26/4.12 complementTE1 => 24.26/4.12 ( 24.26/4.12 binintersectTELcontra => 24.26/4.12 ( 24.26/4.12 binintersectTERcontra => 24.26/4.12 ( 24.26/4.12 contrasubsetT => 24.26/4.12 ( 24.26/4.12 contrasubsetT1 => 24.26/4.12 ( 24.26/4.12 contrasubsetT2 => 24.26/4.12 ( 24.26/4.12 contrasubsetT3 => 24.26/4.12 ( 24.26/4.12 doubleComplementI1 => 24.26/4.12 ( 24.26/4.12 doubleComplementE1 => 24.26/4.12 ( 24.26/4.12 doubleComplementSub1 => 24.26/4.12 ( 24.26/4.12 doubleComplementSub2 => 24.26/4.12 ( 24.26/4.12 doubleComplementEq => 24.26/4.12 ( 24.26/4.12 complementTnotintersectT => 24.26/4.12 ( 24.26/4.12 complementImpComplementIntersect => 24.26/4.12 ( 24.26/4.12 complementSubsetComplementIntersect => 24.26/4.12 ( 24.26/4.12 complementInPowersetComplementIntersect => 24.26/4.12 ( 24.26/4.12 contraSubsetComplement => 24.26/4.12 ( 24.26/4.12 complementTcontraSubset => 24.26/4.12 ( 24.26/4.12 binunionTILcontra => 24.26/4.12 ( 24.26/4.12 binunionTIRcontra => 24.26/4.12 ( 24.26/4.12 inIntersectImpInUnion => 24.26/4.12 ( 24.26/4.12 inIntersectImpInUnion2 => 24.26/4.12 ( 24.26/4.12 ![A,X]: 24.26/4.12 (in( 24.26/4.12 X, 24.26/4.12 powerset( 24.26/4.12 A)) => 24.26/4.12 (![Y]: 24.26/4.12 (in( 24.26/4.12 Y, 24.26/4.12 powerset( 24.26/4.12 A)) => 24.26/4.12 (![Z]: 24.26/4.12 (in( 24.26/4.12 Z, 24.26/4.12 powerset( 24.26/4.12 A)) => 24.26/4.12 (![Xx]: 24.26/4.12 (in(Xx,A) => 24.26/4.12 (in( 24.26/4.12 Xx, 24.26/4.12 binintersect( 24.26/4.12 X,Y)) => 24.26/4.12 in( 24.26/4.12 Xx, 24.26/4.12 binintersect( 24.26/4.12 binunion( 24.26/4.12 X,Z), 24.26/4.12 binunion( 24.26/4.12 Y,Z))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 24.26/4.12 tff(zf_stmt_0, conjecture, 24.26/4.12 ((![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))) => 24.26/4.12 ((![X10]: (~in(X10,emptyset))) => 24.26/4.12 ((![X12,X14,X16]: 24.26/4.12 (in(X16,setadjoin(X12,X14)) <=> (in(X16,X14) | (X16 = X12)))) => 24.26/4.12 ((![X18,X20]: 24.26/4.12 (in(X20,powerset(X18)) <=> (![X22]: (in(X22,X20) => in(X22,X18))))) => 24.26/4.12 ((![X24,X26]: 24.26/4.12 (in(X26,setunion(X24)) <=> (?[X28]: (in(X26,X28) & in(X28,X24))))) => 24.26/4.12 (in(emptyset,omega) => 24.26/4.12 ((![X30]: (in(X30,omega) => in(setadjoin(X30,X30),omega))) => 24.26/4.12 ((![X32]: 24.26/4.12 (((![X34]: 24.26/4.12 ((in(X34,X32) & in(X34,omega)) => 24.26/4.12 in(setadjoin(X34,X34),X32))) & 24.26/4.12 in(emptyset,X32)) => 24.26/4.12 (![X36]: (in(X36,omega) => in(X36,X32))))) => 24.26/4.12 ((![X38:(($i * $i) > $o),X40]: 24.26/4.12 ((![X42]: 24.26/4.12 (in(X42,X40) => 24.26/4.12 (?[X44]: 24.26/4.12 (X38(X42,X44) & (![X46]: (X38(X42,X46) => (X44 = X46))))))) => 24.26/4.12 (?[X48]: 24.26/4.12 (![X50]: 24.26/4.12 (in(X50,X48) <=> (?[X52]: (in(X52,X40) & X38(X52,X50)))))))) => 24.26/4.12 ((![X54]: 24.26/4.12 ((?[X56]: in(X56,X54)) => 24.26/4.12 (?[X58]: 24.26/4.12 (in(X58,X54) & (~(?[X60]: (in(X60,X58) & in(X60,X54)))))))) => 24.26/4.12 ((![X62]: 24.26/4.12 (?[X64]: 24.26/4.12 ((![X96]: 24.26/4.12 (in(X96,X64) => (![X98]: (in(X98,X96) => in(X98,X62))))) & 24.26/4.12 (![X90,X92]: 24.26/4.12 ((in(X92,X62) & in(X90,X62)) => 24.26/4.12 ((![X94]: 24.26/4.12 (in(X94,X64) => (in(X90,X94) <=> in(X92,X94)))) => 24.26/4.12 (X90 = X92)))) & 24.26/4.12 (![X82,X84]: 24.26/4.12 ((in(X84,X64) & in(X82,X64)) => 24.26/4.12 ((![X88]: (in(X88,X84) => in(X88,X82))) | 24.26/4.12 (![X86]: (in(X86,X82) => in(X86,X84)))))) & 24.26/4.12 (![X66]: 24.26/4.12 (((?[X70]: in(X70,X66)) & 24.26/4.12 (![X68]: (in(X68,X66) => in(X68,X62)))) => 24.26/4.12 (?[X72,X74]: 24.26/4.12 (in(X72,X64) & in(X74,X66) & 24.26/4.12 (~(?[X80]: (in(X80,X72) & in(X80,X66)))) & 24.26/4.12 (![X76]: 24.26/4.12 (in(X76,X64) => 24.26/4.12 (in(X74,X76) | 24.26/4.12 (![X78]: (in(X78,X76) => in(X78,X72))))))))))))) => 24.26/4.12 ((![X100:(($i > $o))]: 24.26/4.12 ((?[X102]: 24.26/4.12 (X100(X102) & (![X104]: (X100(X104) => (X102 = X104))))) => 24.26/4.12 X100(descr(^[V_1]: X100(V_1))))) => 24.26/4.12 ((![X106,X108:(($i > $o)),X110]: 24.26/4.12 (in(X110,X106) => 24.26/4.12 (X108(X110) => in(X110,dsetconstr(X106,^[V_2]: X108(V_2)))))) => 24.26/4.12 ((![X112,X114:(($i > $o)),X116]: 24.26/4.12 (in(X116,dsetconstr(X112,^[V_3]: X114(V_3))) => 24.26/4.12 in(X116,X112))) => 24.26/4.12 ((![X118,X120:(($i > $o)),X122]: 24.26/4.12 (in(X122,dsetconstr(X118,^[V_4]: X120(V_4))) => 24.26/4.12 X120(X122))) => 24.26/4.12 ((![X124:(($i > $o))]: 24.26/4.12 ((?[X126]: 24.26/4.12 (X124(X126) & 24.26/4.12 (![X128]: (X124(X128) => (X126 = X128))))) => 24.26/4.12 (?[X130]: 24.26/4.12 (X124(X130) & 24.26/4.12 (![X132]: (X124(X132) => (X130 = X132))))))) => 24.26/4.12 ((![X134:$o,X136]: (in(X136,prop2set(X134)) => X134)) => 24.26/4.12 ((![X138]: (in(X138,emptyset) => (![X140:$o]: X140))) => 24.26/4.12 ((![X142]: (in(X142,emptyset) => $false)) => 24.26/4.12 ((![X144]: (~in(X144,emptyset))) => 24.26/4.12 ((![X146:(($i > $o))]: 24.26/4.12 ((?[X148]: 24.26/4.12 (X146(X148) & 24.26/4.12 (![X150]: (X146(X150) => (X148 = X150))))) => 24.26/4.12 (?[X152]: X146(X152)))) => 24.26/4.12 ((![X154,X156]: 24.26/4.12 ((![X158]: (in(X158,X154) => in(X158,X156))) => 24.26/4.12 ((![X160]: (in(X160,X156) => in(X160,X154))) => 24.26/4.12 (X154 = X156)))) => 24.26/4.12 ((![X162]: 24.26/4.12 ((![X164]: (~in(X164,X162))) => (X162 = emptyset))) => 24.26/4.12 ((![X166]: 24.26/4.12 ((![X168]: (~in(X168,X166))) => 24.26/4.12 (X166 = emptyset))) => 24.26/4.12 ((![X170,X172:(($i > $o)),X174]: 24.26/4.12 (in(X174,X170) => 24.26/4.12 (in(X174,dsetconstr(X170,^[V_5]: X172(V_5))) <=> 24.26/4.12 X172(X174)))) => 24.26/4.12 ((![X176]: 24.26/4.12 ((X176 != emptyset) => 24.26/4.12 (?[X178]: in(X178,X176)))) => 24.26/4.12 ((![X180,X182:(($i > $o)),X184]: 24.26/4.12 (in(X184,X180) => 24.26/4.12 (X182(X184) => 24.26/4.12 (dsetconstr(X180,^[V_6]: X182(V_6)) != 24.26/4.12 emptyset)))) => 24.26/4.12 ((![X186]: 24.26/4.12 ((?[X188]: in(X188,X186)) => 24.26/4.12 (X186 != emptyset))) => 24.26/4.12 ((![X190,X192]: in(X190,setadjoin(X190,X192))) => 24.26/4.12 (in(emptyset,setadjoin(emptyset,emptyset)) => 24.26/4.12 ((![X194,X196,X198]: 24.26/4.12 (in(X198,X196) => 24.26/4.12 in(X198,setadjoin(X194,X196)))) => 24.26/4.12 ((![X200,X202,X204]: 24.26/4.12 (in(X204,setadjoin(X200,X202)) => 24.26/4.12 (![X206:$o]: 24.26/4.12 (((X204 = X200) => X206) => 24.26/4.12 ((in(X204,X202) => X206) => X206))))) => 24.26/4.12 ((![X208,X210,X212]: 24.26/4.12 (in(X212,setadjoin(X208,X210)) => 24.26/4.12 (in(X212,X210) | (X212 = X208)))) => 24.26/4.12 ((![X214]: 24.26/4.12 (dsetconstr(X214,^[V_7]: $true) = X214)) => 24.26/4.12 ((![X216,X218]: 24.26/4.12 ((![X220]: 24.26/4.12 (in(X220,X218) => in(X220,X216))) => 24.26/4.12 in(X218,powerset(X216)))) => 24.26/4.12 ((![X222]: in(emptyset,powerset(X222))) => 24.26/4.12 ((![X224]: in(emptyset,powerset(X224))) => 24.26/4.12 ((![X226,X228,X230]: 24.26/4.12 (in(X228,powerset(X226)) => 24.26/4.12 (in(X230,X228) => in(X230,X226)))) => 24.26/4.12 ((![X232,X234,X236]: 24.26/4.12 (in(X234,X236) => 24.26/4.12 (in(X236,X232) => 24.26/4.12 in(X234,setunion(X232))))) => 24.26/4.12 ((![X238,X240]: 24.26/4.12 (in(X240,setunion(X238)) => 24.26/4.12 (![X242:$o]: 24.26/4.12 ((![X244]: 24.26/4.12 (in(X240,X244) => 24.26/4.12 (in(X244,X238) => X242))) => 24.26/4.12 X242)))) => 24.26/4.12 ((![X246,X248]: 24.26/4.12 (in(X248,X246) => 24.26/4.12 in(X248, 24.26/4.12 powerset(setunion(X246))))) => 24.26/4.12 ((![X250:(($i > $o))]: 24.26/4.12 ((?[X252]: 24.26/4.12 (X250(X252) & 24.26/4.12 (![X254]: 24.26/4.12 (X250(X254) => 24.26/4.12 (X252 = X254))))) => 24.26/4.12 (?[X256]: 24.26/4.12 (![X258]: 24.26/4.12 (X250(X258) <=> 24.26/4.12 (X258 = X256)))))) => 24.26/4.12 ((![X260]: 24.26/4.12 ((X260 != emptyset) => 24.26/4.12 (?[X262]: in(X262,X260)))) => 24.26/4.12 ((![X264,X266]: 24.26/4.12 (in(X264, 24.26/4.12 setadjoin(X266,emptyset)) => 24.26/4.12 (X264 = X266))) => 24.26/4.12 ((![X268,X270]: 24.26/4.12 ((X268 != X270) => 24.26/4.12 (~ 24.26/4.12 in(X270, 24.26/4.12 setadjoin(X268, 24.26/4.12 emptyset))))) => 24.26/4.12 ((![X272,X274]: 24.26/4.12 ((X272 = X274) => 24.26/4.12 in(X272, 24.26/4.12 setadjoin(X274, 24.26/4.12 emptyset)))) => 24.26/4.12 ((![X276,X278]: 24.26/4.12 (in(X276, 24.26/4.12 setadjoin(X278, 24.26/4.12 emptyset)) => 24.26/4.12 in(X278, 24.26/4.12 setadjoin(X276, 24.26/4.12 emptyset)))) => 24.26/4.12 ((![X280,X282,X284]: 24.26/4.12 (in(X284, 24.26/4.12 setadjoin(X280, 24.26/4.12 setadjoin( 24.26/4.12 X282, 24.26/4.12 emptyset))) => 24.26/4.12 ((X284 = X282) | 24.26/4.12 (X284 = X280)))) => 24.26/4.12 ((![X286,X288]: 24.26/4.12 in(X286, 24.26/4.12 setadjoin(X286, 24.26/4.12 setadjoin( 24.26/4.12 X288, 24.26/4.12 emptyset)))) => 24.26/4.12 ((![X290,X292]: 24.26/4.12 in(X292, 24.26/4.12 setadjoin(X290, 24.26/4.12 setadjoin( 24.26/4.12 X292, 24.26/4.12 emptyset)))) => 24.26/4.12 ((![X294,X296:(($i > $o))]: 24.26/4.12 ((?[X298]: 24.26/4.12 (in(X298,X294) & 24.26/4.12 X296(X298))) => 24.26/4.12 ((dsetconstr( 24.26/4.12 X294, 24.26/4.12 ^[V_8]: X296(V_8)) = 24.26/4.12 emptyset) => 24.26/4.12 $false))) => 24.26/4.12 ((![X300:(($i > $o)), 24.26/4.12 X302]: 24.26/4.12 (in(X302,emptyset) => 24.26/4.12 X300(X302))) => 24.26/4.12 ((![X304, 24.26/4.12 X306:(($i > $o))]: 24.26/4.12 ((~ 24.26/4.12 (![X308]: 24.26/4.12 (in(X308,X304) => 24.26/4.12 X306(X308)))) => 24.26/4.12 (?[X310]: 24.26/4.12 (in(X310,X304) & 24.26/4.12 (~X306(X310)))))) => 24.26/4.12 ((![X312, 24.26/4.12 X314:(($i > $o))]: 24.26/4.12 ((![X316]: 24.26/4.12 (in(X316,X312) => 24.26/4.12 (~X314(X316)))) => 24.26/4.12 (~ 24.26/4.12 (?[X318]: 24.26/4.12 (in( 24.26/4.12 X318,X312) & 24.26/4.12 X314(X318)))))) => 24.26/4.12 ((![X320, 24.26/4.12 X322:(($i > $o))]: 24.26/4.12 ((~ 24.26/4.12 (?[X324]: 24.26/4.12 (in( 24.26/4.12 X324,X320) & 24.26/4.12 X322(X324)))) => 24.26/4.12 (![X326]: 24.26/4.12 (in(X326,X320) => 24.26/4.12 (~X322(X326)))))) => 24.26/4.12 ((![X328, 24.26/4.12 X330:(($i > $o))]: 24.26/4.12 ((?[X332]: 24.26/4.12 (in( 24.26/4.12 X332,X328) & 24.26/4.12 (~ 24.26/4.12 X330( 24.26/4.12 X332)))) => 24.26/4.12 (~ 24.26/4.12 (![X334]: 24.26/4.12 (in( 24.26/4.12 X334,X328) => 24.26/4.12 X330( 24.26/4.12 X334)))))) => 24.26/4.12 ((![X336:$o]: 24.26/4.12 (X336 => 24.26/4.12 in(emptyset, 24.26/4.12 prop2set( 24.26/4.12 X336)))) => 24.26/4.12 ((![X338:$o]: 24.26/4.12 (X338 => 24.26/4.12 set2prop( 24.26/4.12 prop2set( 24.26/4.12 X338)))) => 24.26/4.12 ((![X340, 24.26/4.12 X342:( 24.26/4.12 ($i > $o))]: 24.26/4.12 ((~ 24.26/4.12 (?[X344]: 24.26/4.12 (in( 24.26/4.12 X344,X340) & 24.26/4.12 X342( 24.26/4.12 X344)))) => 24.26/4.12 (![X346]: 24.26/4.12 ( 24.26/4.12 in( 24.26/4.12 X346,X340) => 24.26/4.12 ( 24.26/4.12 ~ 24.26/4.12 X342( 24.26/4.12 X346)))))) => 24.26/4.12 ((![X348, 24.26/4.12 X350:( 24.26/4.12 ($i > $o))]: 24.26/4.12 ((~ 24.26/4.12 ( 24.26/4.12 ![X352]: 24.26/4.12 (in( 24.26/4.12 X352,X348) => 24.26/4.12 X350( 24.26/4.12 X352)))) => 24.26/4.12 (?[X354]: 24.26/4.12 (in( 24.26/4.12 X354,X348) & 24.26/4.12 (~ 24.26/4.12 X350( 24.26/4.12 X354)))))) => 24.26/4.12 ((![X356:( 24.26/4.12 ($i > $o))]: 24.26/4.12 ((?[X358]: 24.26/4.12 (X356( 24.26/4.12 X358) & 24.26/4.12 (![X360]: 24.26/4.12 (X356( 24.26/4.12 X360) => 24.26/4.12 (X358 = 24.26/4.12 X360))))) => 24.26/4.12 (?[X362]: 24.26/4.12 (X356( 24.26/4.12 X362) & 24.26/4.12 (![X364]: 24.26/4.12 (X356( 24.26/4.12 X364) => 24.26/4.12 (X362 = 24.26/4.12 X364))))))) => 24.26/4.12 ((![X366:( 24.26/4.12 ($i > $o))]: 24.26/4.12 (( 24.26/4.12 ?[X368]: 24.26/4.12 X366( 24.26/4.12 X368)) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X370, 24.26/4.12 X372]: 24.26/4.12 (X366( 24.26/4.12 X370) => 24.26/4.12 (X366( 24.26/4.12 X372) => 24.26/4.12 (X370 = 24.26/4.12 X372)))) => 24.26/4.12 ( 24.26/4.12 ?[X374]: 24.26/4.12 (X366( 24.26/4.12 X374) & 24.26/4.12 (![X376]: 24.26/4.12 (X366( 24.26/4.12 X376) => 24.26/4.12 (X374 = 24.26/4.12 X376)))))))) => 24.26/4.12 ((![X378:( 24.26/4.12 ( 24.26/4.12 $i > $o))]: 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ?[X380]: 24.26/4.12 (![X382]: 24.26/4.12 (X378( 24.26/4.12 X382) <=> 24.26/4.12 (X382 = 24.26/4.12 X380)))) => 24.26/4.12 ( 24.26/4.12 ?[X384]: 24.26/4.12 (X378( 24.26/4.12 X384) & 24.26/4.12 (![X386]: 24.26/4.12 (X378( 24.26/4.12 X386) => 24.26/4.12 (X384 = 24.26/4.12 X386))))))) => 24.26/4.12 ((![X388, 24.26/4.12 X390]: 24.26/4.12 (( 24.26/4.12 X388 = 24.26/4.12 X390) => 24.26/4.12 (![X392, 24.26/4.12 X394]: 24.26/4.12 (( 24.26/4.12 X392 = 24.26/4.12 X394) => 24.26/4.12 (in( 24.26/4.12 X392,X388) => 24.26/4.12 in( 24.26/4.12 X394,X390)))))) => 24.26/4.12 ((![X396, 24.26/4.12 X398]: 24.26/4.12 (( 24.26/4.12 X396 = 24.26/4.12 X398) => 24.26/4.12 (![X400, 24.26/4.12 X402]: 24.26/4.12 (( 24.26/4.12 X400 = 24.26/4.12 X402) => 24.26/4.12 (in( 24.26/4.12 X400,X396) <=> 24.26/4.12 in( 24.26/4.12 X402,X398)))))) => 24.26/4.12 (( 24.26/4.12 ![X404:( 24.26/4.12 ( 24.26/4.12 $i > $o))]: 24.26/4.12 (( 24.26/4.12 ?[X406]: 24.26/4.12 (X404( 24.26/4.12 X406) & 24.26/4.12 (![X408]: 24.26/4.12 (X404( 24.26/4.12 X408) => 24.26/4.12 (X406 = 24.26/4.12 X408))))) => 24.26/4.12 (![X410, 24.26/4.12 X412]: 24.26/4.12 (X404( 24.26/4.12 X410) => 24.26/4.12 (X404( 24.26/4.12 X412) => 24.26/4.12 (X410 = 24.26/4.12 X412)))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X414:( 24.26/4.12 ( 24.26/4.12 $i > $o)), 24.26/4.12 X416:( 24.26/4.12 ( 24.26/4.12 $i > $o))]: 24.26/4.12 (( 24.26/4.12 ![X418, 24.26/4.12 X420]: 24.26/4.12 (( 24.26/4.12 X418 = 24.26/4.12 X420) => 24.26/4.12 (X414( 24.26/4.12 X418) <=> 24.26/4.12 X416( 24.26/4.12 X420)))) => 24.26/4.12 (( 24.26/4.12 ?[X422]: 24.26/4.12 (X414( 24.26/4.12 X422) & 24.26/4.12 (![X424]: 24.26/4.12 (X414( 24.26/4.12 X424) => 24.26/4.12 (X422 = 24.26/4.12 X424))))) <=> 24.26/4.12 (?[X426]: 24.26/4.12 (X416( 24.26/4.12 X426) & 24.26/4.12 (![X428]: 24.26/4.12 (X416( 24.26/4.12 X428) => 24.26/4.12 (X426 = 24.26/4.12 X428)))))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 emptyset = 24.26/4.12 emptyset) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X430, 24.26/4.12 X432]: 24.26/4.12 (( 24.26/4.12 X430 = 24.26/4.12 X432) => 24.26/4.12 (![X434, 24.26/4.12 X436]: 24.26/4.12 (( 24.26/4.12 X434 = 24.26/4.12 X436) => 24.26/4.12 (setadjoin( 24.26/4.12 X430,X434) = 24.26/4.12 setadjoin( 24.26/4.12 X432,X436)))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X438, 24.26/4.12 X440]: 24.26/4.12 (( 24.26/4.12 X438 = 24.26/4.12 X440) => 24.26/4.12 (powerset( 24.26/4.12 X438) = 24.26/4.12 powerset( 24.26/4.12 X440)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X442, 24.26/4.12 X444]: 24.26/4.12 (( 24.26/4.12 X442 = 24.26/4.12 X444) => 24.26/4.12 (setunion( 24.26/4.12 X442) = 24.26/4.12 setunion( 24.26/4.12 X444)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 omega = 24.26/4.12 omega) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X446:( 24.26/4.12 ( 24.26/4.12 $i > $o))]: 24.26/4.12 (( 24.26/4.12 ?[X448]: 24.26/4.12 (X446( 24.26/4.12 X448) & 24.26/4.12 (![X450]: 24.26/4.12 (X446( 24.26/4.12 X450) => 24.26/4.12 (X448 = 24.26/4.12 X450))))) => 24.26/4.12 (![X452, 24.26/4.12 X454]: 24.26/4.12 (X446( 24.26/4.12 X452) => 24.26/4.12 (X446( 24.26/4.12 X454) => 24.26/4.12 (X452 = 24.26/4.12 X454)))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X456:( 24.26/4.12 ( 24.26/4.12 $i > $o)), 24.26/4.12 X458:( 24.26/4.12 ( 24.26/4.12 $i > $o))]: 24.26/4.12 (( 24.26/4.12 ![X460, 24.26/4.12 X462]: 24.26/4.12 (( 24.26/4.12 X460 = 24.26/4.12 X462) => 24.26/4.12 (X456( 24.26/4.12 X460) <=> 24.26/4.12 X458( 24.26/4.12 X462)))) => 24.26/4.12 (( 24.26/4.12 ?[X464]: 24.26/4.12 (X456( 24.26/4.12 X464) & 24.26/4.12 (![X466]: 24.26/4.12 (X456( 24.26/4.12 X466) => 24.26/4.12 (X464 = 24.26/4.12 X466))))) => 24.26/4.12 (( 24.26/4.12 ?[X468]: 24.26/4.12 (X458( 24.26/4.12 X468) & 24.26/4.12 (![X470]: 24.26/4.12 (X458( 24.26/4.12 X470) => 24.26/4.12 (X468 = 24.26/4.12 X470))))) => 24.26/4.12 (descr( 24.26/4.12 ^[V_9]: 24.26/4.12 X456(V_9)) = 24.26/4.12 descr( 24.26/4.12 ^[V_10]: 24.26/4.12 X458( 24.26/4.12 V_10))))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X472, 24.26/4.12 X474]: 24.26/4.12 (( 24.26/4.12 X472 = 24.26/4.12 X474) => 24.26/4.12 (![X476:( 24.26/4.12 ( 24.26/4.12 $i > $o)), 24.26/4.12 X478:( 24.26/4.12 ( 24.26/4.12 $i > $o))]: 24.26/4.12 (( 24.26/4.12 ![X480]: 24.26/4.12 (in( 24.26/4.12 X480,X472) => 24.26/4.12 (![X482]: 24.26/4.12 (in( 24.26/4.12 X482,X474) => 24.26/4.12 (( 24.26/4.12 X480 = 24.26/4.12 X482) => 24.26/4.12 (X476( 24.26/4.12 X480) <=> 24.26/4.12 X478( 24.26/4.12 X482))))))) => 24.26/4.12 (dsetconstr( 24.26/4.12 X472, 24.26/4.12 ^[V_11]: 24.26/4.12 X476( 24.26/4.12 V_11)) = 24.26/4.12 dsetconstr( 24.26/4.12 X474, 24.26/4.12 ^[V_12]: 24.26/4.12 X478( 24.26/4.12 V_12))))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X484, 24.26/4.12 X486]: 24.26/4.12 (( 24.26/4.12 ![X488]: 24.26/4.12 (in( 24.26/4.12 X488,X484) => 24.26/4.12 in( 24.26/4.12 X488,X486))) => 24.26/4.12 subset( 24.26/4.12 X484,X486))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X490, 24.26/4.12 X492]: 24.26/4.12 (( 24.26/4.12 X490 = 24.26/4.12 X492) => 24.26/4.12 subset( 24.26/4.12 X492,X490))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X494, 24.26/4.12 X496]: 24.26/4.12 (( 24.26/4.12 X494 = 24.26/4.12 X496) => 24.26/4.12 subset( 24.26/4.12 X494,X496))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X498, 24.26/4.12 X500]: 24.26/4.12 (( 24.26/4.12 ![X502]: 24.26/4.12 (in( 24.26/4.12 X502,X498) => 24.26/4.12 in( 24.26/4.12 X502,X500))) => 24.26/4.12 subset( 24.26/4.12 X498,X500))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X504]: 24.26/4.12 subset( 24.26/4.12 emptyset, 24.26/4.12 X504)) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X506, 24.26/4.12 X508,X510]: 24.26/4.12 (subset( 24.26/4.12 X506,X508) => 24.26/4.12 (in( 24.26/4.12 X510,X506) => 24.26/4.12 in( 24.26/4.12 X510,X508)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X512, 24.26/4.12 X514,X516]: 24.26/4.12 (subset( 24.26/4.12 X512,X514) => 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X516,X514)) => 24.26/4.12 (~ 24.26/4.12 in( 24.26/4.12 X516,X512))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X518, 24.26/4.12 X520,X522]: 24.26/4.12 (in( 24.26/4.12 X522,X518) => 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X522,X520)) => 24.26/4.12 (~ 24.26/4.12 subset( 24.26/4.12 X518,X520))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X524, 24.26/4.12 X526]: 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 subset( 24.26/4.12 X524,X526)) => 24.26/4.12 (X524 != 24.26/4.12 X526))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X528, 24.26/4.12 X530,X532]: 24.26/4.12 (in( 24.26/4.12 X532,X528) => 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X532,X530)) => 24.26/4.12 (X528 != 24.26/4.12 X530)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X534]: 24.26/4.12 subset( 24.26/4.12 X534,X534)) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X536, 24.26/4.12 X538,X540]: 24.26/4.12 (subset( 24.26/4.12 X536,X538) => 24.26/4.12 (subset( 24.26/4.12 X538,X540) => 24.26/4.12 subset( 24.26/4.12 X536,X540)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X542, 24.26/4.12 X544]: 24.26/4.12 subset( 24.26/4.12 X544, 24.26/4.12 setadjoin( 24.26/4.12 X542,X544))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X546, 24.26/4.12 X548,X550]: 24.26/4.12 (subset( 24.26/4.12 X546,X550) => 24.26/4.12 subset( 24.26/4.12 X546, 24.26/4.12 setadjoin( 24.26/4.12 X548,X550)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X552, 24.26/4.12 X554]: 24.26/4.12 (subset( 24.26/4.12 X552,X554) => 24.26/4.12 in( 24.26/4.12 X552, 24.26/4.12 powerset( 24.26/4.12 X554)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X556, 24.26/4.12 X558]: 24.26/4.12 (subset( 24.26/4.12 X556,X558) => 24.26/4.12 (subset( 24.26/4.12 X558,X556) => 24.26/4.12 (X556 = 24.26/4.12 X558)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X560]: 24.26/4.12 (subset( 24.26/4.12 X560, 24.26/4.12 emptyset) => 24.26/4.12 (X560 = 24.26/4.12 emptyset))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X562, 24.26/4.12 X564]: 24.26/4.12 (subset( 24.26/4.12 X564,X562) => 24.26/4.12 in( 24.26/4.12 X564, 24.26/4.12 powerset( 24.26/4.12 X562)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X566, 24.26/4.12 X568]: 24.26/4.12 (in( 24.26/4.12 X568, 24.26/4.12 powerset( 24.26/4.12 X566)) => 24.26/4.12 subset( 24.26/4.12 X568,X566))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X570]: 24.26/4.12 in( 24.26/4.12 X570, 24.26/4.12 powerset( 24.26/4.12 X570))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X572, 24.26/4.12 X574]: 24.26/4.12 (subset( 24.26/4.12 X572,X574) => 24.26/4.12 subset( 24.26/4.12 powerset( 24.26/4.12 X572), 24.26/4.12 powerset( 24.26/4.12 X574)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X576, 24.26/4.12 X578:( 24.26/4.12 ( 24.26/4.12 $i > $o))]: 24.26/4.12 in( 24.26/4.12 dsetconstr( 24.26/4.12 X576, 24.26/4.12 ^[V_13]: 24.26/4.12 X578( 24.26/4.12 V_13)), 24.26/4.12 powerset( 24.26/4.12 X576))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X580, 24.26/4.12 X582:( 24.26/4.12 ( 24.26/4.12 $i > $o))]: 24.26/4.12 subset( 24.26/4.12 dsetconstr( 24.26/4.12 X580, 24.26/4.12 ^[V_14]: 24.26/4.12 X582( 24.26/4.12 V_14)), 24.26/4.12 X580)) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X584, 24.26/4.12 X586,X588]: 24.26/4.12 (in( 24.26/4.12 X588,X584) => 24.26/4.12 in( 24.26/4.12 X588, 24.26/4.12 binunion( 24.26/4.12 X584,X586)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X590, 24.26/4.12 X592]: 24.26/4.12 in( 24.26/4.12 X592, 24.26/4.12 setadjoin( 24.26/4.12 X590, 24.26/4.12 setadjoin( 24.26/4.12 X592, 24.26/4.12 emptyset)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X594, 24.26/4.12 X596,X598]: 24.26/4.12 (in( 24.26/4.12 X598,X596) => 24.26/4.12 in( 24.26/4.12 X598, 24.26/4.12 binunion( 24.26/4.12 X594,X596)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X600, 24.26/4.12 X602, 24.26/4.12 X604, 24.26/4.12 X606:$o]: 24.26/4.12 (in( 24.26/4.12 X604, 24.26/4.12 binunion( 24.26/4.12 X600,X602)) => 24.26/4.12 (( 24.26/4.12 in( 24.26/4.12 X604,X600) => 24.26/4.12 X606) => 24.26/4.12 (( 24.26/4.12 in( 24.26/4.12 X604,X602) => 24.26/4.12 X606) => 24.26/4.12 X606)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X608, 24.26/4.12 X610,X612]: 24.26/4.12 (in( 24.26/4.12 X612, 24.26/4.12 binunion( 24.26/4.12 X608,X610)) => 24.26/4.12 (in( 24.26/4.12 X612,X610) | 24.26/4.12 in( 24.26/4.12 X612,X608)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X614, 24.26/4.12 X616]: 24.26/4.12 subset( 24.26/4.12 X614, 24.26/4.12 binunion( 24.26/4.12 X614,X616))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X618, 24.26/4.12 X620]: 24.26/4.12 subset( 24.26/4.12 X620, 24.26/4.12 binunion( 24.26/4.12 X618,X620))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X622, 24.26/4.12 X624,X626]: 24.26/4.12 (in( 24.26/4.12 X626,X622) => 24.26/4.12 (in( 24.26/4.12 X626,X624) => 24.26/4.12 in( 24.26/4.12 X626, 24.26/4.12 binintersect( 24.26/4.12 X622,X624))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X628, 24.26/4.12 X630,X632]: 24.26/4.12 (subset( 24.26/4.12 X632,X628) => 24.26/4.12 (subset( 24.26/4.12 X632,X630) => 24.26/4.12 subset( 24.26/4.12 X632, 24.26/4.12 binintersect( 24.26/4.12 X628,X630))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X634, 24.26/4.12 X636,X638]: 24.26/4.12 (in( 24.26/4.12 X638, 24.26/4.12 binintersect( 24.26/4.12 X634,X636)) => 24.26/4.12 in( 24.26/4.12 X638,X634))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X640, 24.26/4.12 X642]: 24.26/4.12 subset( 24.26/4.12 binintersect( 24.26/4.12 X640,X642), 24.26/4.12 X640)) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X644, 24.26/4.12 X646]: 24.26/4.12 (subset( 24.26/4.12 X644,X646) => 24.26/4.12 (binintersect( 24.26/4.12 X644,X646) = 24.26/4.12 X644))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X648, 24.26/4.12 X650]: 24.26/4.12 (( 24.26/4.12 binintersect( 24.26/4.12 X648,X650) = 24.26/4.12 X650) => 24.26/4.12 subset( 24.26/4.12 X650,X648))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X652, 24.26/4.12 X654,X656]: 24.26/4.12 (in( 24.26/4.12 X656, 24.26/4.12 binintersect( 24.26/4.12 X652,X654)) => 24.26/4.12 in( 24.26/4.12 X656,X654))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X658, 24.26/4.12 X660]: 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 ( 24.26/4.12 ?[X662]: 24.26/4.12 (in( 24.26/4.12 X662,X658) & 24.26/4.12 in( 24.26/4.12 X662,X660)))) => 24.26/4.12 (binintersect( 24.26/4.12 X658,X660) = 24.26/4.12 emptyset))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X664, 24.26/4.12 X666]: 24.26/4.12 subset( 24.26/4.12 binintersect( 24.26/4.12 X664,X666), 24.26/4.12 X666)) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X668, 24.26/4.12 X670]: 24.26/4.12 (subset( 24.26/4.12 X670,X668) => 24.26/4.12 (binintersect( 24.26/4.12 X668,X670) = 24.26/4.12 X670))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X672, 24.26/4.12 X674]: 24.26/4.12 (( 24.26/4.12 binintersect( 24.26/4.12 X672,X674) = 24.26/4.12 X672) => 24.26/4.12 subset( 24.26/4.12 X672,X674))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X676, 24.26/4.12 X678,X680]: 24.26/4.12 (binintersect( 24.26/4.12 X676, 24.26/4.12 binunion( 24.26/4.12 X678,X680)) = 24.26/4.12 binunion( 24.26/4.12 binintersect( 24.26/4.12 X676,X678), 24.26/4.12 binintersect( 24.26/4.12 X676,X680)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X682, 24.26/4.12 X684,X686]: 24.26/4.12 (in( 24.26/4.12 X686,X682) => 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X686,X684)) => 24.26/4.12 in( 24.26/4.12 X686, 24.26/4.12 setminus( 24.26/4.12 X682,X684))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X688, 24.26/4.12 X690,X692]: 24.26/4.12 (in( 24.26/4.12 X692, 24.26/4.12 setminus( 24.26/4.12 X688,X690)) => 24.26/4.12 in( 24.26/4.12 X692,X688))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X694, 24.26/4.12 X696,X698]: 24.26/4.12 (in( 24.26/4.12 X698, 24.26/4.12 setminus( 24.26/4.12 X694,X696)) => 24.26/4.12 (~ 24.26/4.12 in( 24.26/4.12 X698,X696)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X700, 24.26/4.12 X702]: 24.26/4.12 (subset( 24.26/4.12 X700,X702) => 24.26/4.12 (setminus( 24.26/4.12 X700,X702) = 24.26/4.12 emptyset))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X704, 24.26/4.12 X706,X708]: 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X708, 24.26/4.12 setminus( 24.26/4.12 X704,X706))) => 24.26/4.12 (in( 24.26/4.12 X708,X704) => 24.26/4.12 in( 24.26/4.12 X708,X706)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X710, 24.26/4.12 X712,X714]: 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X714, 24.26/4.12 setminus( 24.26/4.12 X710,X712))) => 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X714,X712)) => 24.26/4.12 (~ 24.26/4.12 in( 24.26/4.12 X714,X710))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X716, 24.26/4.12 X718,X720]: 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X720,X716)) => 24.26/4.12 (~ 24.26/4.12 in( 24.26/4.12 X720, 24.26/4.12 setminus( 24.26/4.12 X716,X718))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X722, 24.26/4.12 X724,X726]: 24.26/4.12 (in( 24.26/4.12 X726,X724) => 24.26/4.12 (~ 24.26/4.12 in( 24.26/4.12 X726, 24.26/4.12 setminus( 24.26/4.12 X722,X724))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X728, 24.26/4.12 X730]: 24.26/4.12 subset( 24.26/4.12 setminus( 24.26/4.12 X728,X730), 24.26/4.12 X728)) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X732, 24.26/4.12 X734]: 24.26/4.12 (( 24.26/4.12 setminus( 24.26/4.12 X732,X734) = 24.26/4.12 emptyset) => 24.26/4.12 subset( 24.26/4.12 X732,X734))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X736, 24.26/4.12 X738,X740]: 24.26/4.12 (in( 24.26/4.12 X740, 24.26/4.12 symdiff( 24.26/4.12 X736,X738)) => 24.26/4.12 (![X742:$o]: 24.26/4.12 (( 24.26/4.12 in( 24.26/4.12 X740,X736) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X740,X738)) => 24.26/4.12 X742)) => 24.26/4.12 (( 24.26/4.12 ( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X740,X736)) => 24.26/4.12 ( 24.26/4.12 in( 24.26/4.12 X740,X738) => 24.26/4.12 X742)) => 24.26/4.12 X742))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X744, 24.26/4.12 X746,X748]: 24.26/4.12 (in( 24.26/4.12 X748,X744) => 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X748,X746)) => 24.26/4.12 in( 24.26/4.12 X748, 24.26/4.12 symdiff( 24.26/4.12 X744,X746))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X750, 24.26/4.12 X752,X754]: 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X754,X750)) => 24.26/4.12 (in( 24.26/4.12 X754,X752) => 24.26/4.12 in( 24.26/4.12 X754, 24.26/4.12 symdiff( 24.26/4.12 X750,X752))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X756, 24.26/4.12 X758,X760]: 24.26/4.12 (in( 24.26/4.12 X760,X756) => 24.26/4.12 (in( 24.26/4.12 X760,X758) => 24.26/4.12 (~ 24.26/4.12 in( 24.26/4.12 X760, 24.26/4.12 symdiff( 24.26/4.12 X756,X758)))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X762, 24.26/4.12 X764,X766]: 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X766,X762)) => 24.26/4.12 (( 24.26/4.12 ~ 24.26/4.12 in( 24.26/4.12 X766,X764)) => 24.26/4.12 (~ 24.26/4.12 in( 24.26/4.12 X766, 24.26/4.12 symdiff( 24.26/4.12 X762,X764)))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X768, 24.26/4.12 X770]: 24.26/4.12 in( 24.26/4.12 X770, 24.26/4.12 setadjoin( 24.26/4.12 X768, 24.26/4.12 setadjoin( 24.26/4.12 X770, 24.26/4.12 emptyset)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X772, 24.26/4.12 X774]: 24.26/4.12 in( 24.26/4.12 X772, 24.26/4.12 setunion( 24.26/4.12 setadjoin( 24.26/4.12 setadjoin( 24.26/4.12 X772, 24.26/4.12 emptyset), 24.26/4.12 setadjoin( 24.26/4.12 setadjoin( 24.26/4.12 X772, 24.26/4.12 setadjoin( 24.26/4.12 X774, 24.26/4.12 emptyset)), 24.26/4.12 emptyset))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X776, 24.26/4.12 X778]: 24.26/4.12 in( 24.26/4.12 X778, 24.26/4.12 setunion( 24.26/4.12 setadjoin( 24.26/4.12 setadjoin( 24.26/4.12 X776, 24.26/4.12 emptyset), 24.26/4.12 setadjoin( 24.26/4.12 setadjoin( 24.26/4.12 X776, 24.26/4.12 setadjoin( 24.26/4.12 X778, 24.26/4.12 emptyset)), 24.26/4.12 emptyset))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X780, 24.26/4.12 X782]: 24.26/4.12 iskpair( 24.26/4.12 setadjoin( 24.26/4.12 setadjoin( 24.26/4.12 X780, 24.26/4.12 emptyset), 24.26/4.12 setadjoin( 24.26/4.12 setadjoin( 24.26/4.12 X780, 24.26/4.12 setadjoin( 24.26/4.12 X782, 24.26/4.12 emptyset)), 24.26/4.12 emptyset)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X784, 24.26/4.12 X786]: 24.26/4.12 iskpair( 24.26/4.12 kpair( 24.26/4.12 X784,X786))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X788, 24.26/4.12 X790]: 24.26/4.12 (in( 24.26/4.12 X790,X788) => 24.26/4.12 subset( 24.26/4.12 setadjoin( 24.26/4.12 X790, 24.26/4.12 emptyset), 24.26/4.12 X788))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X792, 24.26/4.12 X794]: 24.26/4.12 (in( 24.26/4.12 X794,X792) => 24.26/4.12 in( 24.26/4.12 setadjoin( 24.26/4.12 X794, 24.26/4.12 emptyset), 24.26/4.12 powerset( 24.26/4.12 X792)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X796, 24.26/4.12 X798,X800]: 24.26/4.12 (in( 24.26/4.12 X800,X796) => 24.26/4.12 in( 24.26/4.12 setadjoin( 24.26/4.12 X800, 24.26/4.12 emptyset), 24.26/4.12 powerset( 24.26/4.12 binunion( 24.26/4.12 X796,X798))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X802, 24.26/4.12 X804,X806]: 24.26/4.12 (in( 24.26/4.12 X806, 24.26/4.12 setadjoin( 24.26/4.12 X802, 24.26/4.12 setadjoin( 24.26/4.12 X804, 24.26/4.12 emptyset))) => 24.26/4.12 (( 24.26/4.12 X806 = 24.26/4.12 X804) | 24.26/4.12 (X806 = 24.26/4.12 X802)))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X808, 24.26/4.12 X810,X812]: 24.26/4.12 (in( 24.26/4.12 X812,X808) => 24.26/4.12 (![X814]: 24.26/4.12 (in( 24.26/4.12 X814,X810) => 24.26/4.12 subset( 24.26/4.12 setadjoin( 24.26/4.12 X812, 24.26/4.12 setadjoin( 24.26/4.12 X814, 24.26/4.12 emptyset)), 24.26/4.12 binunion( 24.26/4.12 X808,X810)))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X816, 24.26/4.12 X818,X820]: 24.26/4.12 (in( 24.26/4.12 X820,X816) => 24.26/4.12 (![X822]: 24.26/4.12 (in( 24.26/4.12 X822,X818) => 24.26/4.12 in( 24.26/4.12 setadjoin( 24.26/4.12 X820, 24.26/4.12 setadjoin( 24.26/4.12 X822, 24.26/4.12 emptyset)), 24.26/4.12 powerset( 24.26/4.12 binunion( 24.26/4.12 X816,X818))))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X824, 24.26/4.12 X826,X828]: 24.26/4.12 (in( 24.26/4.12 X828,X824) => 24.26/4.12 (![X830]: 24.26/4.12 (in( 24.26/4.12 X830,X826) => 24.26/4.12 subset( 24.26/4.12 setadjoin( 24.26/4.12 setadjoin( 24.26/4.12 X828, 24.26/4.12 emptyset), 24.26/4.12 setadjoin( 24.26/4.12 setadjoin( 24.26/4.12 X828, 24.26/4.12 setadjoin( 24.26/4.12 X830, 24.26/4.12 emptyset)), 24.26/4.12 emptyset)), 24.26/4.12 powerset( 24.26/4.12 binunion( 24.26/4.12 X824,X826))))))) => 24.26/4.12 ( 24.26/4.12 ( 24.26/4.12 ![X832, 24.26/4.12 X834,X836]: 24.26/4.12 (in( 24.26/4.12 X836,X832) => 24.26/4.12 (![X838]: 24.26/4.12 (in( 24.26/4.12 X838,X834) => 24.26/4.12 in( 24.26/4.12 setadjoin( 24.26/4.12 setadjoin( 24.26/4.12 X836, 24.26/4.12 emptyset), 24.26/4.12 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X836, 24.26/4.13 setadjoin( 24.26/4.13 X838, 24.26/4.13 emptyset)), 24.26/4.13 emptyset)), 24.26/4.13 powerset( 24.26/4.13 powerset( 24.26/4.13 binunion( 24.26/4.13 X832,X834)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X840, 24.26/4.13 X842,X844]: 24.26/4.13 (in( 24.26/4.13 X844,X840) => 24.26/4.13 (![X846]: 24.26/4.13 (in( 24.26/4.13 X846,X842) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X844,X846), 24.26/4.13 powerset( 24.26/4.13 powerset( 24.26/4.13 binunion( 24.26/4.13 X840,X842)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X848, 24.26/4.13 X850,X852]: 24.26/4.13 (in( 24.26/4.13 X852,X848) => 24.26/4.13 (![X854]: 24.26/4.13 (in( 24.26/4.13 X854,X850) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X852,X854), 24.26/4.13 cartprod( 24.26/4.13 X848,X850)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X856, 24.26/4.13 X858,X860]: 24.26/4.13 (in( 24.26/4.13 X860, 24.26/4.13 cartprod( 24.26/4.13 X856,X858)) => 24.26/4.13 (?[X862]: 24.26/4.13 (in( 24.26/4.13 X862,X856) & 24.26/4.13 (?[X864]: 24.26/4.13 (in( 24.26/4.13 X864,X858) & 24.26/4.13 (X860 = 24.26/4.13 kpair( 24.26/4.13 X862,X864)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X866, 24.26/4.13 X868,X870]: 24.26/4.13 (in( 24.26/4.13 X870, 24.26/4.13 cartprod( 24.26/4.13 X866,X868)) => 24.26/4.13 iskpair( 24.26/4.13 X870))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X872, 24.26/4.13 X874]: 24.26/4.13 (in( 24.26/4.13 X874, 24.26/4.13 setunion( 24.26/4.13 X872)) => 24.26/4.13 (?[X876]: 24.26/4.13 (in( 24.26/4.13 X876,X872) & 24.26/4.13 in( 24.26/4.13 X874,X876))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X878]: 24.26/4.13 subset( 24.26/4.13 setunion( 24.26/4.13 setadjoin( 24.26/4.13 X878, 24.26/4.13 emptyset)), 24.26/4.13 X878)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X880]: 24.26/4.13 subset( 24.26/4.13 X880, 24.26/4.13 setunion( 24.26/4.13 setadjoin( 24.26/4.13 X880, 24.26/4.13 emptyset)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X882]: 24.26/4.13 (setunion( 24.26/4.13 setadjoin( 24.26/4.13 X882, 24.26/4.13 emptyset)) = 24.26/4.13 X882)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X884, 24.26/4.13 X886:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ![X888]: 24.26/4.13 (in( 24.26/4.13 X888,X884) => 24.26/4.13 (![X890]: 24.26/4.13 (in( 24.26/4.13 X890,X884) => 24.26/4.13 (X886( 24.26/4.13 X888) => 24.26/4.13 (X886( 24.26/4.13 X890) => 24.26/4.13 (X888 = 24.26/4.13 X890))))))) => 24.26/4.13 (( 24.26/4.13 ?[X892]: 24.26/4.13 (in( 24.26/4.13 X892,X884) & 24.26/4.13 X886( 24.26/4.13 X892))) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X884, 24.26/4.13 ^[V_15]: 24.26/4.13 X886( 24.26/4.13 V_15)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X894, 24.26/4.13 X896:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X894, 24.26/4.13 ^[V_16]: 24.26/4.13 X896( 24.26/4.13 V_16))) => 24.26/4.13 (?[X898]: 24.26/4.13 (in( 24.26/4.13 X898,X894) & 24.26/4.13 X896( 24.26/4.13 X898))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X900, 24.26/4.13 X902:( 24.26/4.13 ( 24.26/4.13 $i > $o)), 24.26/4.13 X904]: 24.26/4.13 (in( 24.26/4.13 X904,X900) => 24.26/4.13 (X902( 24.26/4.13 X904) => 24.26/4.13 (( 24.26/4.13 ![X906]: 24.26/4.13 (in( 24.26/4.13 X906,X900) => 24.26/4.13 (X902( 24.26/4.13 X906) => 24.26/4.13 (X906 = 24.26/4.13 X904)))) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X900, 24.26/4.13 ^[V_17]: 24.26/4.13 X902( 24.26/4.13 V_17))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X908, 24.26/4.13 X910:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ![X912]: 24.26/4.13 (in( 24.26/4.13 X912,X908) => 24.26/4.13 (![X914]: 24.26/4.13 (in( 24.26/4.13 X914,X908) => 24.26/4.13 (X910( 24.26/4.13 X912) => 24.26/4.13 (X910( 24.26/4.13 X914) => 24.26/4.13 (X912 = 24.26/4.13 X914))))))) => 24.26/4.13 (( 24.26/4.13 ?[X916]: 24.26/4.13 (in( 24.26/4.13 X916,X908) & 24.26/4.13 X910( 24.26/4.13 X916))) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X908, 24.26/4.13 ^[V_18]: 24.26/4.13 X910( 24.26/4.13 V_18)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X918, 24.26/4.13 X920]: 24.26/4.13 (( 24.26/4.13 setadjoin( 24.26/4.13 X918, 24.26/4.13 emptyset) = 24.26/4.13 setadjoin( 24.26/4.13 X920, 24.26/4.13 emptyset)) => 24.26/4.13 (X918 = 24.26/4.13 X920))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X922, 24.26/4.13 X924,X926]: 24.26/4.13 (in( 24.26/4.13 setadjoin( 24.26/4.13 X926, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X922, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X922, 24.26/4.13 setadjoin( 24.26/4.13 X924, 24.26/4.13 emptyset)), 24.26/4.13 emptyset))) => 24.26/4.13 (X922 = 24.26/4.13 X926))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X928]: 24.26/4.13 (iskpair( 24.26/4.13 X928) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 setunion( 24.26/4.13 X928), 24.26/4.13 ^[V_19]: 24.26/4.13 in( 24.26/4.13 setadjoin( 24.26/4.13 V_19, 24.26/4.13 emptyset), 24.26/4.13 X928))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X930]: 24.26/4.13 (singleton( 24.26/4.13 X930) => 24.26/4.13 in( 24.26/4.13 setunion( 24.26/4.13 X930), 24.26/4.13 X930))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X932, 24.26/4.13 X934]: 24.26/4.13 (kfst( 24.26/4.13 kpair( 24.26/4.13 X932,X934)) = 24.26/4.13 X932)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X936, 24.26/4.13 X938,X940]: 24.26/4.13 (in( 24.26/4.13 X940, 24.26/4.13 cartprod( 24.26/4.13 X936,X938)) => 24.26/4.13 in( 24.26/4.13 kfst( 24.26/4.13 X940), 24.26/4.13 X936))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X942, 24.26/4.13 X944, 24.26/4.13 X946,X948]: 24.26/4.13 (( 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X942, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X942, 24.26/4.13 setadjoin( 24.26/4.13 X944, 24.26/4.13 emptyset)), 24.26/4.13 emptyset)) = 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X946, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X946, 24.26/4.13 setadjoin( 24.26/4.13 X948, 24.26/4.13 emptyset)), 24.26/4.13 emptyset))) => 24.26/4.13 (X942 = 24.26/4.13 X946))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X950, 24.26/4.13 X952, 24.26/4.13 X954,X956]: 24.26/4.13 (( 24.26/4.13 kpair( 24.26/4.13 X950,X952) = 24.26/4.13 kpair( 24.26/4.13 X954,X956)) => 24.26/4.13 (X950 = 24.26/4.13 X954))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X958, 24.26/4.13 X960]: 24.26/4.13 (( 24.26/4.13 X958 = 24.26/4.13 X960) => 24.26/4.13 (setadjoin( 24.26/4.13 X958, 24.26/4.13 setadjoin( 24.26/4.13 X960, 24.26/4.13 emptyset)) = 24.26/4.13 setadjoin( 24.26/4.13 X958, 24.26/4.13 emptyset)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X962, 24.26/4.13 X964]: 24.26/4.13 (( 24.26/4.13 X962 = 24.26/4.13 X964) => 24.26/4.13 (setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X962, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X962, 24.26/4.13 setadjoin( 24.26/4.13 X964, 24.26/4.13 emptyset)), 24.26/4.13 emptyset)) = 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X962, 24.26/4.13 emptyset), 24.26/4.13 emptyset)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X966, 24.26/4.13 X968, 24.26/4.13 X970,X972]: 24.26/4.13 (( 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X966, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X966, 24.26/4.13 setadjoin( 24.26/4.13 X968, 24.26/4.13 emptyset)), 24.26/4.13 emptyset)) = 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X970, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X970, 24.26/4.13 setadjoin( 24.26/4.13 X972, 24.26/4.13 emptyset)), 24.26/4.13 emptyset))) => 24.26/4.13 (( 24.26/4.13 X970 = 24.26/4.13 X972) => 24.26/4.13 (X968 = 24.26/4.13 X972)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X974, 24.26/4.13 X976,X978]: 24.26/4.13 (( 24.26/4.13 setadjoin( 24.26/4.13 X974, 24.26/4.13 setadjoin( 24.26/4.13 X976, 24.26/4.13 emptyset)) = 24.26/4.13 setadjoin( 24.26/4.13 X978, 24.26/4.13 emptyset)) => 24.26/4.13 (X974 = 24.26/4.13 X976))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X980, 24.26/4.13 X982, 24.26/4.13 X984,X986]: 24.26/4.13 (( 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X980, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X980, 24.26/4.13 setadjoin( 24.26/4.13 X982, 24.26/4.13 emptyset)), 24.26/4.13 emptyset)) = 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X984, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X984, 24.26/4.13 setadjoin( 24.26/4.13 X986, 24.26/4.13 emptyset)), 24.26/4.13 emptyset))) => 24.26/4.13 (X982 = 24.26/4.13 X986))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X988, 24.26/4.13 X990, 24.26/4.13 X992,X994]: 24.26/4.13 (( 24.26/4.13 kpair( 24.26/4.13 X988,X990) = 24.26/4.13 kpair( 24.26/4.13 X992,X994)) => 24.26/4.13 (X990 = 24.26/4.13 X994))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X996]: 24.26/4.13 (iskpair( 24.26/4.13 X996) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 setunion( 24.26/4.13 X996), 24.26/4.13 ^[V_20]: 24.26/4.13 (X996 = 24.26/4.13 kpair( 24.26/4.13 kfst( 24.26/4.13 X996), 24.26/4.13 V_20)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X998, 24.26/4.13 X1000]: 24.26/4.13 (ksnd( 24.26/4.13 kpair( 24.26/4.13 X998, 24.26/4.13 X1000)) = 24.26/4.13 X1000)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1002]: 24.26/4.13 (iskpair( 24.26/4.13 X1002) => 24.26/4.13 (kpair( 24.26/4.13 kfst( 24.26/4.13 X1002), 24.26/4.13 ksnd( 24.26/4.13 X1002)) = 24.26/4.13 X1002))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1004, 24.26/4.13 X1006, 24.26/4.13 X1008]: 24.26/4.13 (in( 24.26/4.13 X1008, 24.26/4.13 cartprod( 24.26/4.13 X1004, 24.26/4.13 X1006)) => 24.26/4.13 in( 24.26/4.13 ksnd( 24.26/4.13 X1008), 24.26/4.13 X1006))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1010, 24.26/4.13 X1012, 24.26/4.13 X1014, 24.26/4.13 X1016]: 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1014, 24.26/4.13 X1016), 24.26/4.13 cartprod( 24.26/4.13 X1010, 24.26/4.13 X1012)) => 24.26/4.13 in( 24.26/4.13 X1014, 24.26/4.13 X1010))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1018, 24.26/4.13 X1020, 24.26/4.13 X1022, 24.26/4.13 X1024]: 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1022, 24.26/4.13 X1024), 24.26/4.13 cartprod( 24.26/4.13 X1018, 24.26/4.13 X1020)) => 24.26/4.13 in( 24.26/4.13 X1024, 24.26/4.13 X1020))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1026, 24.26/4.13 X1028, 24.26/4.13 X1030]: 24.26/4.13 (in( 24.26/4.13 X1030, 24.26/4.13 X1026) => 24.26/4.13 (![X1032]: 24.26/4.13 (in( 24.26/4.13 X1032, 24.26/4.13 X1028) => 24.26/4.13 (kpair( 24.26/4.13 X1030, 24.26/4.13 X1032) = 24.26/4.13 kpair( 24.26/4.13 X1030, 24.26/4.13 X1032)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1034, 24.26/4.13 X1036, 24.26/4.13 X1038]: 24.26/4.13 (in( 24.26/4.13 X1038, 24.26/4.13 X1034) => 24.26/4.13 (![X1040]: 24.26/4.13 (in( 24.26/4.13 X1040, 24.26/4.13 X1036) => 24.26/4.13 (kfst( 24.26/4.13 kpair( 24.26/4.13 X1038, 24.26/4.13 X1040)) = 24.26/4.13 X1038))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1042, 24.26/4.13 X1044, 24.26/4.13 X1046]: 24.26/4.13 (in( 24.26/4.13 X1046, 24.26/4.13 X1042) => 24.26/4.13 (![X1048]: 24.26/4.13 (in( 24.26/4.13 X1048, 24.26/4.13 X1044) => 24.26/4.13 (ksnd( 24.26/4.13 kpair( 24.26/4.13 X1046, 24.26/4.13 X1048)) = 24.26/4.13 X1048))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1050, 24.26/4.13 X1052, 24.26/4.13 X1054]: 24.26/4.13 (in( 24.26/4.13 X1054, 24.26/4.13 cartprod( 24.26/4.13 X1050, 24.26/4.13 X1052)) => 24.26/4.13 (kpair( 24.26/4.13 kfst( 24.26/4.13 X1054), 24.26/4.13 ksnd( 24.26/4.13 X1054)) = 24.26/4.13 X1054))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1056, 24.26/4.13 X1058, 24.26/4.13 X1060:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o),X1062]: 24.26/4.13 (in( 24.26/4.13 X1062, 24.26/4.13 X1056) => 24.26/4.13 (![X1064]: 24.26/4.13 (in( 24.26/4.13 X1064, 24.26/4.13 X1058) => 24.26/4.13 (X1060( 24.26/4.13 X1062, 24.26/4.13 X1064) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1062, 24.26/4.13 X1064), 24.26/4.13 dpsetconstr( 24.26/4.13 X1056, 24.26/4.13 X1058, 24.26/4.13 ^[V_21, 24.26/4.13 V_22]: 24.26/4.13 X1060( 24.26/4.13 V_21,V_22)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1066, 24.26/4.13 X1068, 24.26/4.13 X1070:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o)]: 24.26/4.13 subset( 24.26/4.13 dpsetconstr( 24.26/4.13 X1066, 24.26/4.13 X1068, 24.26/4.13 ^[V_23, 24.26/4.13 V_24]: 24.26/4.13 X1070( 24.26/4.13 V_23,V_24)), 24.26/4.13 cartprod( 24.26/4.13 X1066, 24.26/4.13 X1068))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1072, 24.26/4.13 X1074, 24.26/4.13 X1076:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o)]: 24.26/4.13 subset( 24.26/4.13 dpsetconstr( 24.26/4.13 X1072, 24.26/4.13 X1074, 24.26/4.13 ^[V_25, 24.26/4.13 V_26]: 24.26/4.13 X1076( 24.26/4.13 V_25,V_26)), 24.26/4.13 cartprod( 24.26/4.13 X1072, 24.26/4.13 X1074))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1078, 24.26/4.13 X1080, 24.26/4.13 X1082:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o),X1084]: 24.26/4.13 (in( 24.26/4.13 X1084, 24.26/4.13 X1078) => 24.26/4.13 (![X1086]: 24.26/4.13 (in( 24.26/4.13 X1086, 24.26/4.13 X1080) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1084, 24.26/4.13 X1086), 24.26/4.13 dpsetconstr( 24.26/4.13 X1078, 24.26/4.13 X1080, 24.26/4.13 ^[V_27, 24.26/4.13 V_28]: 24.26/4.13 X1082( 24.26/4.13 V_27,V_28))) => 24.26/4.13 X1082( 24.26/4.13 X1084, 24.26/4.13 X1086)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1088, 24.26/4.13 X1090, 24.26/4.13 X1092:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o), 24.26/4.13 X1094, 24.26/4.13 X1096]: 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1094, 24.26/4.13 X1096), 24.26/4.13 dpsetconstr( 24.26/4.13 X1088, 24.26/4.13 X1090, 24.26/4.13 ^[V_29, 24.26/4.13 V_30]: 24.26/4.13 X1092( 24.26/4.13 V_29,V_30))) => 24.26/4.13 in( 24.26/4.13 X1094, 24.26/4.13 X1088))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1098, 24.26/4.13 X1100, 24.26/4.13 X1102:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o), 24.26/4.13 X1104, 24.26/4.13 X1106]: 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1104, 24.26/4.13 X1106), 24.26/4.13 dpsetconstr( 24.26/4.13 X1098, 24.26/4.13 X1100, 24.26/4.13 ^[V_31, 24.26/4.13 V_32]: 24.26/4.13 X1102( 24.26/4.13 V_31,V_32))) => 24.26/4.13 in( 24.26/4.13 X1106, 24.26/4.13 X1100))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1108, 24.26/4.13 X1110, 24.26/4.13 X1112:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o), 24.26/4.13 X1114, 24.26/4.13 X1116]: 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1114, 24.26/4.13 X1116), 24.26/4.13 dpsetconstr( 24.26/4.13 X1108, 24.26/4.13 X1110, 24.26/4.13 ^[V_33, 24.26/4.13 V_34]: 24.26/4.13 X1112( 24.26/4.13 V_33,V_34))) => 24.26/4.13 X1112( 24.26/4.13 X1114, 24.26/4.13 X1116))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1118, 24.26/4.13 X1120, 24.26/4.13 X1122]: 24.26/4.13 (func( 24.26/4.13 X1118, 24.26/4.13 X1120, 24.26/4.13 X1122) => 24.26/4.13 (![X1124]: 24.26/4.13 (in( 24.26/4.13 X1124, 24.26/4.13 X1118) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X1120, 24.26/4.13 ^[V_35]: 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1124, 24.26/4.13 V_35), 24.26/4.13 X1122))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1126, 24.26/4.13 X1128, 24.26/4.13 X1130]: 24.26/4.13 (func( 24.26/4.13 X1126, 24.26/4.13 X1128, 24.26/4.13 X1130) => 24.26/4.13 (![X1132]: 24.26/4.13 (in( 24.26/4.13 X1132, 24.26/4.13 X1126) => 24.26/4.13 in( 24.26/4.13 setunion( 24.26/4.13 dsetconstr( 24.26/4.13 X1128, 24.26/4.13 ^[V_36]: 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1132, 24.26/4.13 V_36), 24.26/4.13 X1130))), 24.26/4.13 X1128))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1134, 24.26/4.13 X1136, 24.26/4.13 X1138]: 24.26/4.13 (func( 24.26/4.13 X1134, 24.26/4.13 X1136, 24.26/4.13 X1138) => 24.26/4.13 (![X1140]: 24.26/4.13 (in( 24.26/4.13 X1140, 24.26/4.13 X1134) => 24.26/4.13 in( 24.26/4.13 ap( 24.26/4.13 X1134, 24.26/4.13 X1136, 24.26/4.13 X1138, 24.26/4.13 X1140), 24.26/4.13 X1136))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1142, 24.26/4.13 X1144, 24.26/4.13 X1146]: 24.26/4.13 (in( 24.26/4.13 X1146, 24.26/4.13 funcSet( 24.26/4.13 X1142, 24.26/4.13 X1144)) => 24.26/4.13 func( 24.26/4.13 X1142, 24.26/4.13 X1144, 24.26/4.13 X1146))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1148, 24.26/4.13 X1150, 24.26/4.13 X1152]: 24.26/4.13 (in( 24.26/4.13 X1152, 24.26/4.13 funcSet( 24.26/4.13 X1148, 24.26/4.13 X1150)) => 24.26/4.13 (![X1154]: 24.26/4.13 (in( 24.26/4.13 X1154, 24.26/4.13 X1148) => 24.26/4.13 in( 24.26/4.13 ap( 24.26/4.13 X1148, 24.26/4.13 X1150, 24.26/4.13 X1152, 24.26/4.13 X1154), 24.26/4.13 X1150))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1156, 24.26/4.13 X1158, 24.26/4.13 X1160]: 24.26/4.13 (func( 24.26/4.13 X1156, 24.26/4.13 X1158, 24.26/4.13 X1160) => 24.26/4.13 in( 24.26/4.13 X1160, 24.26/4.13 funcSet( 24.26/4.13 X1156, 24.26/4.13 X1158)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1162, 24.26/4.13 X1164, 24.26/4.13 X1166:( 24.26/4.13 ( 24.26/4.13 $i > $i))]: 24.26/4.13 (( 24.26/4.13 ![X1168]: 24.26/4.13 (in( 24.26/4.13 X1168, 24.26/4.13 X1162) => 24.26/4.13 in( 24.26/4.13 X1166( 24.26/4.13 X1168), 24.26/4.13 X1164))) => 24.26/4.13 func( 24.26/4.13 X1162, 24.26/4.13 X1164, 24.26/4.13 dpsetconstr( 24.26/4.13 X1162, 24.26/4.13 X1164, 24.26/4.13 ^[V_37, 24.26/4.13 V_38]: 24.26/4.13 (X1166( 24.26/4.13 V_37) = 24.26/4.13 V_38))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1170, 24.26/4.13 X1172, 24.26/4.13 X1174:( 24.26/4.13 ( 24.26/4.13 $i > $i))]: 24.26/4.13 (( 24.26/4.13 ![X1176]: 24.26/4.13 (in( 24.26/4.13 X1176, 24.26/4.13 X1170) => 24.26/4.13 in( 24.26/4.13 X1174( 24.26/4.13 X1176), 24.26/4.13 X1172))) => 24.26/4.13 func( 24.26/4.13 X1170, 24.26/4.13 X1172, 24.26/4.13 lam( 24.26/4.13 X1170, 24.26/4.13 X1172, 24.26/4.13 ^[V_39]: 24.26/4.13 X1174( 24.26/4.13 V_39))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1178, 24.26/4.13 X1180, 24.26/4.13 X1182:( 24.26/4.13 ( 24.26/4.13 $i > $i))]: 24.26/4.13 (( 24.26/4.13 ![X1184]: 24.26/4.13 (in( 24.26/4.13 X1184, 24.26/4.13 X1178) => 24.26/4.13 in( 24.26/4.13 X1182( 24.26/4.13 X1184), 24.26/4.13 X1180))) => 24.26/4.13 in( 24.26/4.13 lam( 24.26/4.13 X1178, 24.26/4.13 X1180, 24.26/4.13 ^[V_40]: 24.26/4.13 X1182( 24.26/4.13 V_40)), 24.26/4.13 funcSet( 24.26/4.13 X1178, 24.26/4.13 X1180)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1186, 24.26/4.13 X1188, 24.26/4.13 X1190]: 24.26/4.13 (subset( 24.26/4.13 X1190, 24.26/4.13 cartprod( 24.26/4.13 X1186, 24.26/4.13 X1188)) => 24.26/4.13 (![X1192:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ![X1194]: 24.26/4.13 (in( 24.26/4.13 X1194, 24.26/4.13 X1186) => 24.26/4.13 (![X1196]: 24.26/4.13 (in( 24.26/4.13 X1196, 24.26/4.13 X1188) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1194, 24.26/4.13 X1196), 24.26/4.13 X1190) => 24.26/4.13 X1192( 24.26/4.13 kpair( 24.26/4.13 X1194, 24.26/4.13 X1196))))))) => 24.26/4.13 (![X1198]: 24.26/4.13 (in( 24.26/4.13 X1198, 24.26/4.13 X1190) => 24.26/4.13 X1192( 24.26/4.13 X1198))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1200, 24.26/4.13 X1202, 24.26/4.13 X1204]: 24.26/4.13 (subset( 24.26/4.13 X1204, 24.26/4.13 cartprod( 24.26/4.13 X1200, 24.26/4.13 X1202)) => 24.26/4.13 (![X1206:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ![X1208]: 24.26/4.13 (in( 24.26/4.13 X1208, 24.26/4.13 X1200) => 24.26/4.13 (![X1210]: 24.26/4.13 (in( 24.26/4.13 X1210, 24.26/4.13 X1202) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1208, 24.26/4.13 X1210), 24.26/4.13 X1204) => 24.26/4.13 X1206( 24.26/4.13 kpair( 24.26/4.13 X1208, 24.26/4.13 X1210))))))) => 24.26/4.13 (![X1212]: 24.26/4.13 (in( 24.26/4.13 X1212, 24.26/4.13 X1204) => 24.26/4.13 X1206( 24.26/4.13 X1212))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1214, 24.26/4.13 X1216:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X1214, 24.26/4.13 ^[V_41]: 24.26/4.13 X1216( 24.26/4.13 V_41))) => 24.26/4.13 (![X1218]: 24.26/4.13 (in( 24.26/4.13 X1218, 24.26/4.13 X1214) => 24.26/4.13 (![X1220]: 24.26/4.13 (in( 24.26/4.13 X1220, 24.26/4.13 X1214) => 24.26/4.13 (X1216( 24.26/4.13 X1218) => 24.26/4.13 (X1216( 24.26/4.13 X1220) => 24.26/4.13 (X1218 = 24.26/4.13 X1220))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1222, 24.26/4.13 X1224, 24.26/4.13 X1226]: 24.26/4.13 (func( 24.26/4.13 X1222, 24.26/4.13 X1224, 24.26/4.13 X1226) => 24.26/4.13 (![X1228]: 24.26/4.13 (in( 24.26/4.13 X1228, 24.26/4.13 X1222) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1228, 24.26/4.13 ap( 24.26/4.13 X1222, 24.26/4.13 X1224, 24.26/4.13 X1226, 24.26/4.13 X1228)), 24.26/4.13 X1226))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1230, 24.26/4.13 X1232, 24.26/4.13 X1234]: 24.26/4.13 (in( 24.26/4.13 X1234, 24.26/4.13 funcSet( 24.26/4.13 X1230, 24.26/4.13 X1232)) => 24.26/4.13 (![X1236]: 24.26/4.13 (in( 24.26/4.13 X1236, 24.26/4.13 X1230) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1236, 24.26/4.13 ap( 24.26/4.13 X1230, 24.26/4.13 X1232, 24.26/4.13 X1234, 24.26/4.13 X1236)), 24.26/4.13 X1234))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1238, 24.26/4.13 X1240, 24.26/4.13 X1242]: 24.26/4.13 (func( 24.26/4.13 X1238, 24.26/4.13 X1240, 24.26/4.13 X1242) => 24.26/4.13 (![X1244]: 24.26/4.13 (in( 24.26/4.13 X1244, 24.26/4.13 X1238) => 24.26/4.13 (![X1246]: 24.26/4.13 (in( 24.26/4.13 X1246, 24.26/4.13 X1240) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1244, 24.26/4.13 X1246), 24.26/4.13 X1242) => 24.26/4.13 (ap( 24.26/4.13 X1238, 24.26/4.13 X1240, 24.26/4.13 X1242, 24.26/4.13 X1244) = 24.26/4.13 X1246)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1248, 24.26/4.13 X1250, 24.26/4.13 X1252]: 24.26/4.13 (func( 24.26/4.13 X1248, 24.26/4.13 X1250, 24.26/4.13 X1252) => 24.26/4.13 (![X1254]: 24.26/4.13 (func( 24.26/4.13 X1248, 24.26/4.13 X1250, 24.26/4.13 X1254) => 24.26/4.13 (( 24.26/4.13 ![X1256]: 24.26/4.13 (in( 24.26/4.13 X1256, 24.26/4.13 X1248) => 24.26/4.13 (ap( 24.26/4.13 X1248, 24.26/4.13 X1250, 24.26/4.13 X1252, 24.26/4.13 X1256) = 24.26/4.13 ap( 24.26/4.13 X1248, 24.26/4.13 X1250, 24.26/4.13 X1254, 24.26/4.13 X1256)))) => 24.26/4.13 (![X1258]: 24.26/4.13 (in( 24.26/4.13 X1258, 24.26/4.13 X1248) => 24.26/4.13 (![X1260]: 24.26/4.13 (in( 24.26/4.13 X1260, 24.26/4.13 X1250) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1258, 24.26/4.13 X1260), 24.26/4.13 X1254) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1258, 24.26/4.13 X1260), 24.26/4.13 X1252))))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1262, 24.26/4.13 X1264, 24.26/4.13 X1266]: 24.26/4.13 (in( 24.26/4.13 X1266, 24.26/4.13 funcSet( 24.26/4.13 X1262, 24.26/4.13 X1264)) => 24.26/4.13 (![X1268]: 24.26/4.13 (in( 24.26/4.13 X1268, 24.26/4.13 X1262) => 24.26/4.13 (![X1270]: 24.26/4.13 (in( 24.26/4.13 X1270, 24.26/4.13 X1264) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1268, 24.26/4.13 X1270), 24.26/4.13 X1266) => 24.26/4.13 (ap( 24.26/4.13 X1262, 24.26/4.13 X1264, 24.26/4.13 X1266, 24.26/4.13 X1268) = 24.26/4.13 X1270)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1272, 24.26/4.13 X1274, 24.26/4.13 X1276]: 24.26/4.13 (subset( 24.26/4.13 X1276, 24.26/4.13 cartprod( 24.26/4.13 X1272, 24.26/4.13 X1274)) => 24.26/4.13 (![X1278]: 24.26/4.13 (subset( 24.26/4.13 X1278, 24.26/4.13 cartprod( 24.26/4.13 X1272, 24.26/4.13 X1274)) => 24.26/4.13 (( 24.26/4.13 ![X1280]: 24.26/4.13 (in( 24.26/4.13 X1280, 24.26/4.13 X1272) => 24.26/4.13 (![X1282]: 24.26/4.13 (in( 24.26/4.13 X1282, 24.26/4.13 X1274) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1280, 24.26/4.13 X1282), 24.26/4.13 X1276) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1280, 24.26/4.13 X1282), 24.26/4.13 X1278)))))) => 24.26/4.13 subset( 24.26/4.13 X1276, 24.26/4.13 X1278)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1284, 24.26/4.13 X1286, 24.26/4.13 X1288]: 24.26/4.13 (subset( 24.26/4.13 X1288, 24.26/4.13 cartprod( 24.26/4.13 X1284, 24.26/4.13 X1286)) => 24.26/4.13 (![X1290]: 24.26/4.13 (subset( 24.26/4.13 X1290, 24.26/4.13 cartprod( 24.26/4.13 X1284, 24.26/4.13 X1286)) => 24.26/4.13 (( 24.26/4.13 ![X1292]: 24.26/4.13 (in( 24.26/4.13 X1292, 24.26/4.13 X1284) => 24.26/4.13 (![X1294]: 24.26/4.13 (in( 24.26/4.13 X1294, 24.26/4.13 X1286) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1292, 24.26/4.13 X1294), 24.26/4.13 X1288) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1292, 24.26/4.13 X1294), 24.26/4.13 X1290)))))) => 24.26/4.13 (( 24.26/4.13 ![X1296]: 24.26/4.13 (in( 24.26/4.13 X1296, 24.26/4.13 X1284) => 24.26/4.13 (![X1298]: 24.26/4.13 (in( 24.26/4.13 X1298, 24.26/4.13 X1286) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1296, 24.26/4.13 X1298), 24.26/4.13 X1290) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1296, 24.26/4.13 X1298), 24.26/4.13 X1288)))))) => 24.26/4.13 (X1288 = 24.26/4.13 X1290))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1300, 24.26/4.13 X1302, 24.26/4.13 X1304]: 24.26/4.13 (func( 24.26/4.13 X1300, 24.26/4.13 X1302, 24.26/4.13 X1304) => 24.26/4.13 (![X1306]: 24.26/4.13 (func( 24.26/4.13 X1300, 24.26/4.13 X1302, 24.26/4.13 X1306) => 24.26/4.13 (( 24.26/4.13 ![X1308]: 24.26/4.13 (in( 24.26/4.13 X1308, 24.26/4.13 X1300) => 24.26/4.13 (ap( 24.26/4.13 X1300, 24.26/4.13 X1302, 24.26/4.13 X1304, 24.26/4.13 X1308) = 24.26/4.13 ap( 24.26/4.13 X1300, 24.26/4.13 X1302, 24.26/4.13 X1306, 24.26/4.13 X1308)))) => 24.26/4.13 (X1304 = 24.26/4.13 X1306)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1310, 24.26/4.13 X1312, 24.26/4.13 X1314]: 24.26/4.13 (in( 24.26/4.13 X1314, 24.26/4.13 funcSet( 24.26/4.13 X1310, 24.26/4.13 X1312)) => 24.26/4.13 (![X1316]: 24.26/4.13 (in( 24.26/4.13 X1316, 24.26/4.13 funcSet( 24.26/4.13 X1310, 24.26/4.13 X1312)) => 24.26/4.13 (( 24.26/4.13 ![X1318]: 24.26/4.13 (in( 24.26/4.13 X1318, 24.26/4.13 X1310) => 24.26/4.13 (ap( 24.26/4.13 X1310, 24.26/4.13 X1312, 24.26/4.13 X1314, 24.26/4.13 X1318) = 24.26/4.13 ap( 24.26/4.13 X1310, 24.26/4.13 X1312, 24.26/4.13 X1316, 24.26/4.13 X1318)))) => 24.26/4.13 (X1314 = 24.26/4.13 X1316)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1320, 24.26/4.13 X1322, 24.26/4.13 X1324]: 24.26/4.13 (in( 24.26/4.13 X1324, 24.26/4.13 funcSet( 24.26/4.13 X1320, 24.26/4.13 X1322)) => 24.26/4.13 (![X1326]: 24.26/4.13 (in( 24.26/4.13 X1326, 24.26/4.13 X1320) => 24.26/4.13 (ap( 24.26/4.13 X1320, 24.26/4.13 X1322, 24.26/4.13 X1324, 24.26/4.13 X1326) = 24.26/4.13 ap( 24.26/4.13 X1320, 24.26/4.13 X1322, 24.26/4.13 X1324, 24.26/4.13 X1326)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1328, 24.26/4.13 X1330, 24.26/4.13 X1332]: 24.26/4.13 (func( 24.26/4.13 X1328, 24.26/4.13 X1330, 24.26/4.13 X1332) => 24.26/4.13 (![X1334]: 24.26/4.13 (in( 24.26/4.13 X1334, 24.26/4.13 X1328) => 24.26/4.13 (ap( 24.26/4.13 X1328, 24.26/4.13 X1330, 24.26/4.13 X1332, 24.26/4.13 X1334) = 24.26/4.13 ap( 24.26/4.13 X1328, 24.26/4.13 X1330, 24.26/4.13 X1332, 24.26/4.13 X1334)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1336, 24.26/4.13 X1338, 24.26/4.13 X1340:( 24.26/4.13 ( 24.26/4.13 $i > $i))]: 24.26/4.13 (( 24.26/4.13 ![X1342]: 24.26/4.13 (in( 24.26/4.13 X1342, 24.26/4.13 X1336) => 24.26/4.13 in( 24.26/4.13 X1340( 24.26/4.13 X1342), 24.26/4.13 X1338))) => 24.26/4.13 (![X1344]: 24.26/4.13 (in( 24.26/4.13 X1344, 24.26/4.13 X1336) => 24.26/4.13 (ap( 24.26/4.13 X1336, 24.26/4.13 X1338, 24.26/4.13 lam( 24.26/4.13 X1336, 24.26/4.13 X1338, 24.26/4.13 ^[V_42]: 24.26/4.13 X1340( 24.26/4.13 V_42)), 24.26/4.13 X1344) = 24.26/4.13 X1340( 24.26/4.13 X1344)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1346, 24.26/4.13 X1348, 24.26/4.13 X1350]: 24.26/4.13 (func( 24.26/4.13 X1346, 24.26/4.13 X1348, 24.26/4.13 X1350) => 24.26/4.13 (lam( 24.26/4.13 X1346, 24.26/4.13 X1348, 24.26/4.13 ^[V_43]: 24.26/4.13 ap( 24.26/4.13 X1346, 24.26/4.13 X1348, 24.26/4.13 X1350, 24.26/4.13 V_43)) = 24.26/4.13 X1350))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1352, 24.26/4.13 X1354, 24.26/4.13 X1356:( 24.26/4.13 ( 24.26/4.13 $i > $i))]: 24.26/4.13 (( 24.26/4.13 ![X1358]: 24.26/4.13 (in( 24.26/4.13 X1358, 24.26/4.13 X1352) => 24.26/4.13 in( 24.26/4.13 X1356( 24.26/4.13 X1358), 24.26/4.13 X1354))) => 24.26/4.13 (lam( 24.26/4.13 X1352, 24.26/4.13 X1354, 24.26/4.13 ^[V_44]: 24.26/4.13 X1356( 24.26/4.13 V_44)) = 24.26/4.13 lam( 24.26/4.13 X1352, 24.26/4.13 X1354, 24.26/4.13 ^[V_45]: 24.26/4.13 X1356( 24.26/4.13 V_45))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1360, 24.26/4.13 X1362, 24.26/4.13 X1364:( 24.26/4.13 ( 24.26/4.13 $i > $i))]: 24.26/4.13 (( 24.26/4.13 ![X1366]: 24.26/4.13 (in( 24.26/4.13 X1366, 24.26/4.13 X1360) => 24.26/4.13 in( 24.26/4.13 X1364( 24.26/4.13 X1366), 24.26/4.13 X1362))) => 24.26/4.13 (![X1368]: 24.26/4.13 (in( 24.26/4.13 X1368, 24.26/4.13 X1360) => 24.26/4.13 (ap( 24.26/4.13 X1360, 24.26/4.13 X1362, 24.26/4.13 lam( 24.26/4.13 X1360, 24.26/4.13 X1362, 24.26/4.13 ^[V_46]: 24.26/4.13 X1364( 24.26/4.13 V_46)), 24.26/4.13 X1368) = 24.26/4.13 X1364( 24.26/4.13 X1368)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1370, 24.26/4.13 X1372, 24.26/4.13 X1374]: 24.26/4.13 (in( 24.26/4.13 X1374, 24.26/4.13 funcSet( 24.26/4.13 X1370, 24.26/4.13 X1372)) => 24.26/4.13 (lam( 24.26/4.13 X1370, 24.26/4.13 X1372, 24.26/4.13 ^[V_47]: 24.26/4.13 ap( 24.26/4.13 X1370, 24.26/4.13 X1372, 24.26/4.13 X1374, 24.26/4.13 V_47)) = 24.26/4.13 X1374))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1376, 24.26/4.13 X1378:$o, 24.26/4.13 X1380]: 24.26/4.13 (in( 24.26/4.13 X1380, 24.26/4.13 X1376) => 24.26/4.13 (![X1382]: 24.26/4.13 (in( 24.26/4.13 X1382, 24.26/4.13 X1376) => 24.26/4.13 (( 24.26/4.13 ~X1378) => 24.26/4.13 in( 24.26/4.13 X1382, 24.26/4.13 dsetconstr( 24.26/4.13 X1376, 24.26/4.13 ^[V_48]: 24.26/4.13 (( 24.26/4.13 ( 24.26/4.13 V_48 = 24.26/4.13 X1382) & 24.26/4.13 ( 24.26/4.13 ~X1378)) | 24.26/4.13 (( 24.26/4.13 V_48 = 24.26/4.13 X1380) & 24.26/4.13 X1378))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1384, 24.26/4.13 X1386:$o, 24.26/4.13 X1388]: 24.26/4.13 (in( 24.26/4.13 X1388, 24.26/4.13 X1384) => 24.26/4.13 (![X1390]: 24.26/4.13 (in( 24.26/4.13 X1390, 24.26/4.13 X1384) => 24.26/4.13 (( 24.26/4.13 ~X1386) => 24.26/4.13 (dsetconstr( 24.26/4.13 X1384, 24.26/4.13 ^[V_49]: 24.26/4.13 (( 24.26/4.13 ( 24.26/4.13 V_49 = 24.26/4.13 X1390) & 24.26/4.13 ( 24.26/4.13 ~X1386)) | 24.26/4.13 (( 24.26/4.13 V_49 = 24.26/4.13 X1388) & 24.26/4.13 X1386))) = 24.26/4.13 setadjoin( 24.26/4.13 X1390, 24.26/4.13 emptyset))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1392, 24.26/4.13 X1394:$o, 24.26/4.13 X1396]: 24.26/4.13 (in( 24.26/4.13 X1396, 24.26/4.13 X1392) => 24.26/4.13 (![X1398]: 24.26/4.13 (in( 24.26/4.13 X1398, 24.26/4.13 X1392) => 24.26/4.13 (X1394 => 24.26/4.13 in( 24.26/4.13 X1396, 24.26/4.13 dsetconstr( 24.26/4.13 X1392, 24.26/4.13 ^[V_50]: 24.26/4.13 (( 24.26/4.13 ( 24.26/4.13 V_50 = 24.26/4.13 X1398) & 24.26/4.13 ( 24.26/4.13 ~X1394)) | 24.26/4.13 (( 24.26/4.13 V_50 = 24.26/4.13 X1396) & 24.26/4.13 X1394))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1400, 24.26/4.13 X1402:$o, 24.26/4.13 X1404]: 24.26/4.13 (in( 24.26/4.13 X1404, 24.26/4.13 X1400) => 24.26/4.13 (![X1406]: 24.26/4.13 (in( 24.26/4.13 X1406, 24.26/4.13 X1400) => 24.26/4.13 (X1402 => 24.26/4.13 (dsetconstr( 24.26/4.13 X1400, 24.26/4.13 ^[V_51]: 24.26/4.13 (( 24.26/4.13 ( 24.26/4.13 V_51 = 24.26/4.13 X1406) & 24.26/4.13 ( 24.26/4.13 ~X1402)) | 24.26/4.13 (( 24.26/4.13 V_51 = 24.26/4.13 X1404) & 24.26/4.13 X1402))) = 24.26/4.13 setadjoin( 24.26/4.13 X1404, 24.26/4.13 emptyset))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1408, 24.26/4.13 X1410:$o, 24.26/4.13 X1412]: 24.26/4.13 (in( 24.26/4.13 X1412, 24.26/4.13 X1408) => 24.26/4.13 (![X1414]: 24.26/4.13 (in( 24.26/4.13 X1414, 24.26/4.13 X1408) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X1408, 24.26/4.13 ^[V_52]: 24.26/4.13 (( 24.26/4.13 ( 24.26/4.13 V_52 = 24.26/4.13 X1414) & 24.26/4.13 ( 24.26/4.13 ~X1410)) | 24.26/4.13 (( 24.26/4.13 V_52 = 24.26/4.13 X1412) & 24.26/4.13 X1410)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1416, 24.26/4.13 X1418:$o, 24.26/4.13 X1420]: 24.26/4.13 (in( 24.26/4.13 X1420, 24.26/4.13 X1416) => 24.26/4.13 (![X1422]: 24.26/4.13 (in( 24.26/4.13 X1422, 24.26/4.13 X1416) => 24.26/4.13 in( 24.26/4.13 if( 24.26/4.13 X1416, 24.26/4.13 X1418, 24.26/4.13 X1420, 24.26/4.13 X1422), 24.26/4.13 X1416))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1424]: 24.26/4.13 (singleton( 24.26/4.13 X1424) => 24.26/4.13 (![X1426]: 24.26/4.13 (in( 24.26/4.13 X1426, 24.26/4.13 X1424) => 24.26/4.13 (setunion( 24.26/4.13 X1424) = 24.26/4.13 X1426))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1428, 24.26/4.13 X1430:$o, 24.26/4.13 X1432]: 24.26/4.13 (in( 24.26/4.13 X1432, 24.26/4.13 X1428) => 24.26/4.13 (![X1434]: 24.26/4.13 (in( 24.26/4.13 X1434, 24.26/4.13 X1428) => 24.26/4.13 (X1430 => 24.26/4.13 (if( 24.26/4.13 X1428, 24.26/4.13 X1430, 24.26/4.13 X1432, 24.26/4.13 X1434) = 24.26/4.13 X1432)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1436, 24.26/4.13 X1438:$o, 24.26/4.13 X1440]: 24.26/4.13 (in( 24.26/4.13 X1440, 24.26/4.13 X1436) => 24.26/4.13 (![X1442]: 24.26/4.13 (in( 24.26/4.13 X1442, 24.26/4.13 X1436) => 24.26/4.13 (( 24.26/4.13 ~X1438) => 24.26/4.13 (if( 24.26/4.13 X1436, 24.26/4.13 X1438, 24.26/4.13 X1440, 24.26/4.13 X1442) = 24.26/4.13 X1442)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1444, 24.26/4.13 X1446:$o, 24.26/4.13 X1448]: 24.26/4.13 (in( 24.26/4.13 X1448, 24.26/4.13 X1444) => 24.26/4.13 (![X1450]: 24.26/4.13 (in( 24.26/4.13 X1450, 24.26/4.13 X1444) => 24.26/4.13 in( 24.26/4.13 if( 24.26/4.13 X1444, 24.26/4.13 X1446, 24.26/4.13 X1448, 24.26/4.13 X1450), 24.26/4.13 setadjoin( 24.26/4.13 X1448, 24.26/4.13 setadjoin( 24.26/4.13 X1450, 24.26/4.13 emptyset))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1452, 24.26/4.13 X1454]: 24.26/4.13 (in( 24.26/4.13 X1454, 24.26/4.13 powerset( 24.26/4.13 X1452)) => 24.26/4.13 (![X1456]: 24.26/4.13 (in( 24.26/4.13 X1456, 24.26/4.13 powerset( 24.26/4.13 X1452)) => 24.26/4.13 in( 24.26/4.13 binintersect( 24.26/4.13 X1454, 24.26/4.13 X1456), 24.26/4.13 powerset( 24.26/4.13 X1452)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1458, 24.26/4.13 X1460]: 24.26/4.13 (in( 24.26/4.13 X1460, 24.26/4.13 powerset( 24.26/4.13 X1458)) => 24.26/4.13 (![X1462]: 24.26/4.13 (in( 24.26/4.13 X1462, 24.26/4.13 powerset( 24.26/4.13 X1458)) => 24.26/4.13 in( 24.26/4.13 binunion( 24.26/4.13 X1460, 24.26/4.13 X1462), 24.26/4.13 powerset( 24.26/4.13 X1458)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1464, 24.26/4.13 X1466]: 24.26/4.13 (in( 24.26/4.13 X1466, 24.26/4.13 powerset( 24.26/4.13 X1464)) => 24.26/4.13 in( 24.26/4.13 powerset( 24.26/4.13 X1466), 24.26/4.13 powerset( 24.26/4.13 powerset( 24.26/4.13 X1464))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1468, 24.26/4.13 X1470]: 24.26/4.13 (in( 24.26/4.13 X1470, 24.26/4.13 powerset( 24.26/4.13 X1468)) => 24.26/4.13 (![X1472]: 24.26/4.13 (in( 24.26/4.13 X1472, 24.26/4.13 powerset( 24.26/4.13 X1468)) => 24.26/4.13 in( 24.26/4.13 setminus( 24.26/4.13 X1470, 24.26/4.13 X1472), 24.26/4.13 powerset( 24.26/4.13 X1468)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1474, 24.26/4.13 X1476]: 24.26/4.13 (in( 24.26/4.13 X1476, 24.26/4.13 powerset( 24.26/4.13 X1474)) => 24.26/4.13 in( 24.26/4.13 setminus( 24.26/4.13 X1474, 24.26/4.13 X1476), 24.26/4.13 powerset( 24.26/4.13 X1474)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1478, 24.26/4.13 X1480]: 24.26/4.13 (in( 24.26/4.13 X1480, 24.26/4.13 powerset( 24.26/4.13 X1478)) => 24.26/4.13 (![X1482]: 24.26/4.13 (in( 24.26/4.13 X1482, 24.26/4.13 powerset( 24.26/4.13 X1478)) => 24.26/4.13 (( 24.26/4.13 ![X1484]: 24.26/4.13 (in( 24.26/4.13 X1484, 24.26/4.13 X1478) => 24.26/4.13 (in( 24.26/4.13 X1484, 24.26/4.13 X1480) => 24.26/4.13 in( 24.26/4.13 X1484, 24.26/4.13 X1482)))) => 24.26/4.13 (( 24.26/4.13 ![X1486]: 24.26/4.13 (in( 24.26/4.13 X1486, 24.26/4.13 X1478) => 24.26/4.13 (in( 24.26/4.13 X1486, 24.26/4.13 X1482) => 24.26/4.13 in( 24.26/4.13 X1486, 24.26/4.13 X1480)))) => 24.26/4.13 (X1480 = 24.26/4.13 X1482))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1488, 24.26/4.13 X1490]: 24.26/4.13 (in( 24.26/4.13 X1490, 24.26/4.13 powerset( 24.26/4.13 X1488)) => 24.26/4.13 (![X1492]: 24.26/4.13 (in( 24.26/4.13 X1492, 24.26/4.13 powerset( 24.26/4.13 X1488)) => 24.26/4.13 (( 24.26/4.13 ![X1494]: 24.26/4.13 (in( 24.26/4.13 X1494, 24.26/4.13 X1488) => 24.26/4.13 (in( 24.26/4.13 X1494, 24.26/4.13 X1490) => 24.26/4.13 in( 24.26/4.13 X1494, 24.26/4.13 X1492)))) => 24.26/4.13 subset( 24.26/4.13 X1490, 24.26/4.13 X1492)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1496, 24.26/4.13 X1498]: 24.26/4.13 (in( 24.26/4.13 X1498, 24.26/4.13 powerset( 24.26/4.13 X1496)) => 24.26/4.13 (![X1500]: 24.26/4.13 (in( 24.26/4.13 X1500, 24.26/4.13 powerset( 24.26/4.13 X1496)) => 24.26/4.13 (( 24.26/4.13 ![X1502]: 24.26/4.13 (in( 24.26/4.13 X1502, 24.26/4.13 X1496) => 24.26/4.13 (in( 24.26/4.13 X1502, 24.26/4.13 X1498) => 24.26/4.13 in( 24.26/4.13 X1502, 24.26/4.13 X1500)))) => 24.26/4.13 in( 24.26/4.13 X1498, 24.26/4.13 powerset( 24.26/4.13 X1500))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1504, 24.26/4.13 X1506]: 24.26/4.13 (in( 24.26/4.13 X1506, 24.26/4.13 powerset( 24.26/4.13 X1504)) => 24.26/4.13 (![X1508]: 24.26/4.13 (in( 24.26/4.13 X1508, 24.26/4.13 powerset( 24.26/4.13 X1504)) => 24.26/4.13 (![X1510]: 24.26/4.13 (in( 24.26/4.13 X1510, 24.26/4.13 X1504) => 24.26/4.13 (in( 24.26/4.13 X1506, 24.26/4.13 powerset( 24.26/4.13 X1508)) => 24.26/4.13 (in( 24.26/4.13 X1510, 24.26/4.13 X1506) => 24.26/4.13 in( 24.26/4.13 X1510, 24.26/4.13 X1508))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1512, 24.26/4.13 X1514]: 24.26/4.13 (in( 24.26/4.13 X1514, 24.26/4.13 powerset( 24.26/4.13 X1512)) => 24.26/4.13 (![X1516]: 24.26/4.13 (in( 24.26/4.13 X1516, 24.26/4.13 X1512) => 24.26/4.13 (in( 24.26/4.13 X1516, 24.26/4.13 X1514) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X1516, 24.26/4.13 setminus( 24.26/4.13 X1512, 24.26/4.13 X1514)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1518, 24.26/4.13 X1520]: 24.26/4.13 (in( 24.26/4.13 X1520, 24.26/4.13 powerset( 24.26/4.13 X1518)) => 24.26/4.13 (![X1522]: 24.26/4.13 (in( 24.26/4.13 X1522, 24.26/4.13 X1518) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X1522, 24.26/4.13 setminus( 24.26/4.13 X1518, 24.26/4.13 X1520))) => 24.26/4.13 in( 24.26/4.13 X1522, 24.26/4.13 X1520)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1524, 24.26/4.13 X1526]: 24.26/4.13 (in( 24.26/4.13 X1526, 24.26/4.13 powerset( 24.26/4.13 X1524)) => 24.26/4.13 (![X1528]: 24.26/4.13 (in( 24.26/4.13 X1528, 24.26/4.13 powerset( 24.26/4.13 X1524)) => 24.26/4.13 (![X1530]: 24.26/4.13 (in( 24.26/4.13 X1530, 24.26/4.13 X1524) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X1530, 24.26/4.13 X1526)) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X1530, 24.26/4.13 binintersect( 24.26/4.13 X1526, 24.26/4.13 X1528)))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1532, 24.26/4.13 X1534]: 24.26/4.13 (in( 24.26/4.13 X1534, 24.26/4.13 powerset( 24.26/4.13 X1532)) => 24.26/4.13 (![X1536]: 24.26/4.13 (in( 24.26/4.13 X1536, 24.26/4.13 powerset( 24.26/4.13 X1532)) => 24.26/4.13 (![X1538]: 24.26/4.13 (in( 24.26/4.13 X1538, 24.26/4.13 X1532) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X1538, 24.26/4.13 X1536)) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X1538, 24.26/4.13 binintersect( 24.26/4.13 X1534, 24.26/4.13 X1536)))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1540, 24.26/4.13 X1542]: 24.26/4.13 (in( 24.26/4.13 X1542, 24.26/4.13 powerset( 24.26/4.13 X1540)) => 24.26/4.13 (![X1544]: 24.26/4.13 (in( 24.26/4.13 X1544, 24.26/4.13 powerset( 24.26/4.13 X1540)) => 24.26/4.13 (![X1546]: 24.26/4.13 (in( 24.26/4.13 X1546, 24.26/4.13 X1540) => 24.26/4.13 (subset( 24.26/4.13 X1542, 24.26/4.13 setminus( 24.26/4.13 X1540, 24.26/4.13 X1544)) => 24.26/4.13 (in( 24.26/4.13 X1546, 24.26/4.13 X1544) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X1546, 24.26/4.13 X1542)))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1548, 24.26/4.13 X1550]: 24.26/4.13 (in( 24.26/4.13 X1550, 24.26/4.13 powerset( 24.26/4.13 X1548)) => 24.26/4.13 (![X1552]: 24.26/4.13 (in( 24.26/4.13 X1552, 24.26/4.13 powerset( 24.26/4.13 X1548)) => 24.26/4.13 (![X1554]: 24.26/4.13 (in( 24.26/4.13 X1554, 24.26/4.13 X1548) => 24.26/4.13 (subset( 24.26/4.13 X1550, 24.26/4.13 X1552) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X1554, 24.26/4.13 X1552)) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X1554, 24.26/4.13 X1550)))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1556, 24.26/4.13 X1558]: 24.26/4.13 (in( 24.26/4.13 X1558, 24.26/4.13 powerset( 24.26/4.13 X1556)) => 24.26/4.13 (![X1560]: 24.26/4.13 (in( 24.26/4.13 X1560, 24.26/4.13 powerset( 24.26/4.13 X1556)) => 24.26/4.13 (subset( 24.26/4.13 X1558, 24.26/4.13 X1560) => 24.26/4.13 subset( 24.26/4.13 setminus( 24.26/4.13 X1556, 24.26/4.13 X1560), 24.26/4.13 setminus( 24.26/4.13 X1556, 24.26/4.13 X1558))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1562, 24.26/4.13 X1564]: 24.26/4.13 (in( 24.26/4.13 X1564, 24.26/4.13 powerset( 24.26/4.13 X1562)) => 24.26/4.13 (![X1566]: 24.26/4.13 (in( 24.26/4.13 X1566, 24.26/4.13 powerset( 24.26/4.13 X1562)) => 24.26/4.13 (subset( 24.26/4.13 setminus( 24.26/4.13 X1562, 24.26/4.13 X1566), 24.26/4.13 setminus( 24.26/4.13 X1562, 24.26/4.13 X1564)) => 24.26/4.13 subset( 24.26/4.13 X1564, 24.26/4.13 X1566)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1568, 24.26/4.13 X1570]: 24.26/4.13 (in( 24.26/4.13 X1570, 24.26/4.13 powerset( 24.26/4.13 X1568)) => 24.26/4.13 (![X1572]: 24.26/4.13 (in( 24.26/4.13 X1572, 24.26/4.13 X1568) => 24.26/4.13 (in( 24.26/4.13 X1572, 24.26/4.13 X1570) => 24.26/4.13 in( 24.26/4.13 X1572, 24.26/4.13 setminus( 24.26/4.13 X1568, 24.26/4.13 setminus( 24.26/4.13 X1568, 24.26/4.13 X1570)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1574, 24.26/4.13 X1576]: 24.26/4.13 (in( 24.26/4.13 X1576, 24.26/4.13 powerset( 24.26/4.13 X1574)) => 24.26/4.13 (![X1578]: 24.26/4.13 (in( 24.26/4.13 X1578, 24.26/4.13 X1574) => 24.26/4.13 (in( 24.26/4.13 X1578, 24.26/4.13 setminus( 24.26/4.13 X1574, 24.26/4.13 setminus( 24.26/4.13 X1574, 24.26/4.13 X1576))) => 24.26/4.13 in( 24.26/4.13 X1578, 24.26/4.13 X1576)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1580, 24.26/4.13 X1582]: 24.26/4.13 (in( 24.26/4.13 X1582, 24.26/4.13 powerset( 24.26/4.13 X1580)) => 24.26/4.13 subset( 24.26/4.13 X1582, 24.26/4.13 setminus( 24.26/4.13 X1580, 24.26/4.13 setminus( 24.26/4.13 X1580, 24.26/4.13 X1582))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1584, 24.26/4.13 X1586]: 24.26/4.13 (in( 24.26/4.13 X1586, 24.26/4.13 powerset( 24.26/4.13 X1584)) => 24.26/4.13 subset( 24.26/4.13 setminus( 24.26/4.13 X1584, 24.26/4.13 setminus( 24.26/4.13 X1584, 24.26/4.13 X1586)), 24.26/4.13 X1586))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1588, 24.26/4.13 X1590]: 24.26/4.13 (in( 24.26/4.13 X1590, 24.26/4.13 powerset( 24.26/4.13 X1588)) => 24.26/4.13 (X1590 = 24.26/4.13 setminus( 24.26/4.13 X1588, 24.26/4.13 setminus( 24.26/4.13 X1588, 24.26/4.13 X1590))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1592, 24.26/4.13 X1594]: 24.26/4.13 (in( 24.26/4.13 X1594, 24.26/4.13 powerset( 24.26/4.13 X1592)) => 24.26/4.13 (![X1596]: 24.26/4.13 (in( 24.26/4.13 X1596, 24.26/4.13 powerset( 24.26/4.13 X1592)) => 24.26/4.13 (![X1598]: 24.26/4.13 (in( 24.26/4.13 X1598, 24.26/4.13 X1592) => 24.26/4.13 (in( 24.26/4.13 X1598, 24.26/4.13 setminus( 24.26/4.13 X1592, 24.26/4.13 X1594)) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X1598, 24.26/4.13 binintersect( 24.26/4.13 X1594, 24.26/4.13 X1596)))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1600, 24.26/4.13 X1602]: 24.26/4.13 (in( 24.26/4.13 X1602, 24.26/4.13 powerset( 24.26/4.13 X1600)) => 24.26/4.13 (![X1604]: 24.26/4.13 (in( 24.26/4.13 X1604, 24.26/4.13 powerset( 24.26/4.13 X1600)) => 24.26/4.13 (![X1606]: 24.26/4.13 (in( 24.26/4.13 X1606, 24.26/4.13 X1600) => 24.26/4.13 (in( 24.26/4.13 X1606, 24.26/4.13 setminus( 24.26/4.13 X1600, 24.26/4.13 X1602)) => 24.26/4.13 in( 24.26/4.13 X1606, 24.26/4.13 setminus( 24.26/4.13 X1600, 24.26/4.13 binintersect( 24.26/4.13 X1602, 24.26/4.13 X1604)))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1608, 24.26/4.13 X1610]: 24.26/4.13 (in( 24.26/4.13 X1610, 24.26/4.13 powerset( 24.26/4.13 X1608)) => 24.26/4.13 (![X1612]: 24.26/4.13 (in( 24.26/4.13 X1612, 24.26/4.13 powerset( 24.26/4.13 X1608)) => 24.26/4.13 subset( 24.26/4.13 setminus( 24.26/4.13 X1608, 24.26/4.13 X1610), 24.26/4.13 setminus( 24.26/4.13 X1608, 24.26/4.13 binintersect( 24.26/4.13 X1610, 24.26/4.13 X1612))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1614, 24.26/4.13 X1616]: 24.26/4.13 (in( 24.26/4.13 X1616, 24.26/4.13 powerset( 24.26/4.13 X1614)) => 24.26/4.13 (![X1618]: 24.26/4.13 (in( 24.26/4.13 X1618, 24.26/4.13 powerset( 24.26/4.13 X1614)) => 24.26/4.13 in( 24.26/4.13 setminus( 24.26/4.13 X1614, 24.26/4.13 X1616), 24.26/4.13 powerset( 24.26/4.13 setminus( 24.26/4.13 X1614, 24.26/4.13 binintersect( 24.26/4.13 X1616, 24.26/4.13 X1618)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1620, 24.26/4.13 X1622]: 24.26/4.13 (in( 24.26/4.13 X1622, 24.26/4.13 powerset( 24.26/4.13 X1620)) => 24.26/4.13 (![X1624]: 24.26/4.13 (in( 24.26/4.13 X1624, 24.26/4.13 powerset( 24.26/4.13 X1620)) => 24.26/4.13 (subset( 24.26/4.13 X1622, 24.26/4.13 setminus( 24.26/4.13 X1620, 24.26/4.13 X1624)) => 24.26/4.13 (![X1626]: 24.26/4.13 (in( 24.26/4.13 X1626, 24.26/4.13 X1620) => 24.26/4.13 (in( 24.26/4.13 X1626, 24.26/4.13 X1624) => 24.26/4.13 in( 24.26/4.13 X1626, 24.26/4.13 setminus( 24.26/4.13 X1620, 24.26/4.13 X1622)))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1628, 24.26/4.13 X1630]: 24.26/4.13 (in( 24.26/4.13 X1630, 24.26/4.13 powerset( 24.26/4.13 X1628)) => 24.26/4.13 (![X1632]: 24.26/4.13 (in( 24.26/4.13 X1632, 24.26/4.13 powerset( 24.26/4.13 X1628)) => 24.26/4.13 (subset( 24.26/4.13 X1630, 24.26/4.13 setminus( 24.26/4.13 X1628, 24.26/4.13 X1632)) => 24.26/4.13 subset( 24.26/4.13 X1632, 24.26/4.13 setminus( 24.26/4.13 X1628, 24.26/4.13 X1630))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1634, 24.26/4.13 X1636]: 24.26/4.13 (in( 24.26/4.13 X1636, 24.26/4.13 powerset( 24.26/4.13 X1634)) => 24.26/4.13 (![X1638]: 24.26/4.13 (in( 24.26/4.13 X1638, 24.26/4.13 powerset( 24.26/4.13 X1634)) => 24.26/4.13 (![X1640]: 24.26/4.13 (in( 24.26/4.13 X1640, 24.26/4.13 X1634) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X1640, 24.26/4.13 binunion( 24.26/4.13 X1636, 24.26/4.13 X1638))) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X1640, 24.26/4.13 X1636))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1642, 24.26/4.13 X1644]: 24.26/4.13 (in( 24.26/4.13 X1644, 24.26/4.13 powerset( 24.26/4.13 X1642)) => 24.26/4.13 (![X1646]: 24.26/4.13 (in( 24.26/4.13 X1646, 24.26/4.13 powerset( 24.26/4.13 X1642)) => 24.26/4.13 (![X1648]: 24.26/4.13 (in( 24.26/4.13 X1648, 24.26/4.13 X1642) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X1648, 24.26/4.13 binunion( 24.26/4.13 X1644, 24.26/4.13 X1646))) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X1648, 24.26/4.13 X1646))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1650, 24.26/4.13 X1652]: 24.26/4.13 (in( 24.26/4.13 X1652, 24.26/4.13 powerset( 24.26/4.13 X1650)) => 24.26/4.13 (![X1654]: 24.26/4.13 (in( 24.26/4.13 X1654, 24.26/4.13 powerset( 24.26/4.13 X1650)) => 24.26/4.13 (![X1656]: 24.26/4.13 (in( 24.26/4.13 X1656, 24.26/4.13 powerset( 24.26/4.13 X1650)) => 24.26/4.13 (![X1658]: 24.26/4.13 (in( 24.26/4.13 X1658, 24.26/4.13 X1650) => 24.26/4.13 (in( 24.26/4.13 X1658, 24.26/4.13 binintersect( 24.26/4.13 X1652, 24.26/4.13 X1654)) => 24.26/4.13 in( 24.26/4.13 X1658, 24.26/4.13 binunion( 24.26/4.13 X1652, 24.26/4.13 X1656))))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1660, 24.26/4.13 X1662]: 24.26/4.13 (in( 24.26/4.13 X1662, 24.26/4.13 powerset( 24.26/4.13 X1660)) => 24.26/4.13 (![X1664]: 24.26/4.13 (in( 24.26/4.13 X1664, 24.26/4.13 powerset( 24.26/4.13 X1660)) => 24.26/4.13 (![X1666]: 24.26/4.13 (in( 24.26/4.13 X1666, 24.26/4.13 powerset( 24.26/4.13 X1660)) => 24.26/4.13 (![X1668]: 24.26/4.13 (in( 24.26/4.13 X1668, 24.26/4.13 X1660) => 24.26/4.13 (in( 24.26/4.13 X1668, 24.26/4.13 binintersect( 24.26/4.13 X1662, 24.26/4.13 X1664)) => 24.26/4.13 in( 24.26/4.13 X1668, 24.26/4.13 binunion( 24.26/4.13 X1664, 24.26/4.13 X1666))))))))))) => 24.26/4.13 ( 24.26/4.13 ![X1670, 24.26/4.13 X1672]: 24.26/4.13 (in( 24.26/4.13 X1672, 24.26/4.13 powerset( 24.26/4.13 X1670)) => 24.26/4.13 (![X1674]: 24.26/4.13 (in( 24.26/4.13 X1674, 24.26/4.13 powerset( 24.26/4.13 X1670)) => 24.26/4.13 (![X1676]: 24.26/4.13 (in( 24.26/4.13 X1676, 24.26/4.13 powerset( 24.26/4.13 X1670)) => 24.26/4.13 (![X1678]: 24.26/4.13 (in( 24.26/4.13 X1678, 24.26/4.13 X1670) => 24.26/4.13 (in( 24.26/4.13 X1678, 24.26/4.13 binintersect( 24.26/4.13 X1672, 24.26/4.13 X1674)) => 24.26/4.13 in( 24.26/4.13 X1678, 24.26/4.13 binintersect( 24.26/4.13 binunion( 24.26/4.13 X1672, 24.26/4.13 X1676), 24.26/4.13 binunion( 24.26/4.13 X1674, 24.26/4.13 X1676))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 24.26/4.13 tff(zf_stmt_1, type, zip_tseitin_5 : ($i * ($i > $o)) > $o). 24.26/4.13 tff(zf_stmt_2, axiom, 24.26/4.13 (zip_tseitin_5(X422,X414) <=> 24.26/4.13 ((![X424]: zip_tseitin_4(X424,X422,X414)) & X414(X422)))). 24.26/4.13 tff(zf_stmt_3, type, zip_tseitin_4 : ($i * $i * ($i > $o)) > $o). 24.26/4.13 tff(zf_stmt_4, axiom, 24.26/4.13 (zip_tseitin_4(X424,X422,X414) <=> (X414(X424) => (X422 = X424)))). 24.26/4.13 tff(zf_stmt_5, type, zip_tseitin_3 : ($i * $i * $i * ($i * $i) > $o) > $o). 24.26/4.13 tff(zf_stmt_6, axiom, 24.26/4.13 (zip_tseitin_3(X52,X50,X40,X38) <=> (X38(X52,X50) & in(X52,X40)))). 24.26/4.13 tff(zf_stmt_7, type, zip_tseitin_2 : ($i * $i * $i) > $o). 24.26/4.13 tff(zf_stmt_8, axiom, 24.26/4.13 (zip_tseitin_2(X28,X26,X24) <=> (in(X28,X24) & in(X26,X28)))). 24.26/4.13 tff(zf_stmt_9, type, zip_tseitin_1 : ($i * $i * $i) > $o). 24.26/4.13 tff(zf_stmt_10, axiom, 24.26/4.13 (zip_tseitin_1(X22,X20,X18) <=> (in(X22,X20) => in(X22,X18)))). 24.26/4.13 tff(zf_stmt_11, type, zip_tseitin_0 : ($i * $i * $i) > $o). 24.26/4.13 tff(zf_stmt_12, axiom, 24.26/4.13 (zip_tseitin_0(X16,X14,X12) <=> ((X16 = X12) | in(X16,X14)))). 24.26/4.13 tff(zf_stmt_13, conjecture, 24.26/4.13 ((![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))) => 24.26/4.13 ((![X10]: (~in(X10,emptyset))) => 24.26/4.13 ((![X12,X14,X16]: 24.26/4.13 (in(X16,setadjoin(X12,X14)) <=> zip_tseitin_0(X16,X14,X12))) => 24.26/4.13 ((![X18,X20]: 24.26/4.13 (in(X20,powerset(X18)) <=> (![X22]: zip_tseitin_1(X22,X20,X18)))) => 24.26/4.13 ((![X24,X26]: 24.26/4.13 (in(X26,setunion(X24)) <=> (?[X28]: zip_tseitin_2(X28,X26,X24)))) => 24.26/4.13 (in(emptyset,omega) => 24.26/4.13 ((![X30]: (in(X30,omega) => in(setadjoin(X30,X30),omega))) => 24.26/4.13 ((![X32]: 24.26/4.13 ((in(emptyset,X32) & 24.26/4.13 (![X34]: 24.26/4.13 ((in(X34,omega) & in(X34,X32)) => 24.26/4.13 in(setadjoin(X34,X34),X32)))) => 24.26/4.13 (![X36]: (in(X36,omega) => in(X36,X32))))) => 24.26/4.13 ((![X38:(($i * $i) > $o),X40]: 24.26/4.13 ((![X42]: 24.26/4.13 (in(X42,X40) => 24.26/4.13 (?[X44]: 24.26/4.13 ((![X46]: (X38(X42,X46) => (X44 = X46))) & X38(X42,X44))))) => 24.26/4.13 (?[X48]: 24.26/4.13 (![X50]: 24.26/4.13 (in(X50,X48) <=> 24.26/4.13 (?[X52]: zip_tseitin_3(X52,X50,X40,X38))))))) => 24.26/4.13 ((![X54]: 24.26/4.13 ((?[X56]: in(X56,X54)) => 24.26/4.13 (?[X58]: 24.26/4.13 ((~(?[X60]: (in(X60,X54) & in(X60,X58)))) & in(X58,X54))))) => 24.26/4.13 ((![X62]: 24.26/4.13 (?[X64]: 24.26/4.13 ((![X66]: 24.26/4.13 (((![X68]: (in(X68,X66) => in(X68,X62))) & 24.26/4.13 (?[X70]: in(X70,X66))) => 24.26/4.13 (?[X72,X74]: 24.26/4.13 ((![X76]: 24.26/4.13 (in(X76,X64) => 24.26/4.13 ((![X78]: (in(X78,X76) => in(X78,X72))) | 24.26/4.13 in(X74,X76)))) & 24.26/4.13 (~(?[X80]: (in(X80,X66) & in(X80,X72)))) & 24.26/4.13 in(X74,X66) & in(X72,X64))))) & 24.26/4.13 (![X82,X84]: 24.26/4.13 ((in(X82,X64) & in(X84,X64)) => 24.26/4.13 ((![X86]: (in(X86,X82) => in(X86,X84))) | 24.26/4.13 (![X88]: (in(X88,X84) => in(X88,X82)))))) & 24.26/4.13 (![X90,X92]: 24.26/4.13 ((in(X90,X62) & in(X92,X62)) => 24.26/4.13 ((![X94]: 24.26/4.13 (in(X94,X64) => (in(X90,X94) <=> in(X92,X94)))) => 24.26/4.13 (X90 = X92)))) & 24.26/4.13 (![X96]: 24.26/4.13 (in(X96,X64) => (![X98]: (in(X98,X96) => in(X98,X62)))))))) => 24.26/4.13 ((![X100:(($i > $o))]: 24.26/4.13 ((?[X102]: 24.26/4.13 ((![X104]: (X100(X104) => (X102 = X104))) & X100(X102))) => 24.26/4.13 X100(descr(^[V_1]: X100(V_1))))) => 24.26/4.13 ((![X106,X108:(($i > $o)),X110]: 24.26/4.13 (in(X110,X106) => 24.26/4.13 (X108(X110) => in(X110,dsetconstr(X106,^[V_2]: X108(V_2)))))) => 24.26/4.13 ((![X112,X114:(($i > $o)),X116]: 24.26/4.13 (in(X116,dsetconstr(X112,^[V_3]: X114(V_3))) => 24.26/4.13 in(X116,X112))) => 24.26/4.13 ((![X118,X120:(($i > $o)),X122]: 24.26/4.13 (in(X122,dsetconstr(X118,^[V_4]: X120(V_4))) => 24.26/4.13 X120(X122))) => 24.26/4.13 ((![X124:(($i > $o))]: 24.26/4.13 ((?[X126]: 24.26/4.13 ((![X128]: (X124(X128) => (X126 = X128))) & 24.26/4.13 X124(X126))) => 24.26/4.13 (?[X130]: 24.26/4.13 ((![X132]: (X124(X132) => (X130 = X132))) & 24.26/4.13 X124(X130))))) => 24.26/4.13 ((![X134:$o,X136]: (in(X136,prop2set(X134)) => X134)) => 24.26/4.13 ((![X138]: (in(X138,emptyset) => (![X140:$o]: X140))) => 24.26/4.13 ((![X142]: (~in(X142,emptyset))) => 24.26/4.13 ((![X144]: (~in(X144,emptyset))) => 24.26/4.13 ((![X146:(($i > $o))]: 24.26/4.13 ((?[X148]: 24.26/4.13 ((![X150]: (X146(X150) => (X148 = X150))) & 24.26/4.13 X146(X148))) => 24.26/4.13 (?[X152]: X146(X152)))) => 24.26/4.13 ((![X154,X156]: 24.26/4.13 ((![X158]: (in(X158,X154) => in(X158,X156))) => 24.26/4.13 ((![X160]: (in(X160,X156) => in(X160,X154))) => 24.26/4.13 (X154 = X156)))) => 24.26/4.13 ((![X162]: 24.26/4.13 ((![X164]: (~in(X164,X162))) => (X162 = emptyset))) => 24.26/4.13 ((![X166]: 24.26/4.13 ((![X168]: (~in(X168,X166))) => 24.26/4.13 (X166 = emptyset))) => 24.26/4.13 ((![X170,X172:(($i > $o)),X174]: 24.26/4.13 (in(X174,X170) => 24.26/4.13 (in(X174,dsetconstr(X170,^[V_5]: X172(V_5))) <=> 24.26/4.13 X172(X174)))) => 24.26/4.13 ((![X176]: 24.26/4.13 ((X176 != emptyset) => 24.26/4.13 (?[X178]: in(X178,X176)))) => 24.26/4.13 ((![X180,X182:(($i > $o)),X184]: 24.26/4.13 (in(X184,X180) => 24.26/4.13 (X182(X184) => 24.26/4.13 (dsetconstr(X180,^[V_6]: X182(V_6)) != 24.26/4.13 emptyset)))) => 24.26/4.13 ((![X186]: 24.26/4.13 ((?[X188]: in(X188,X186)) => 24.26/4.13 (X186 != emptyset))) => 24.26/4.13 ((![X190,X192]: in(X190,setadjoin(X190,X192))) => 24.26/4.13 (in(emptyset,setadjoin(emptyset,emptyset)) => 24.26/4.13 ((![X194,X196,X198]: 24.26/4.13 (in(X198,X196) => 24.26/4.13 in(X198,setadjoin(X194,X196)))) => 24.26/4.13 ((![X200,X202,X204]: 24.26/4.13 (in(X204,setadjoin(X200,X202)) => 24.26/4.13 (![X206:$o]: 24.26/4.13 (((X204 = X200) => X206) => 24.26/4.13 ((in(X204,X202) => X206) => X206))))) => 24.26/4.13 ((![X208,X210,X212]: 24.26/4.13 (in(X212,setadjoin(X208,X210)) => 24.26/4.13 ((X212 = X208) | in(X212,X210)))) => 24.26/4.13 ((![X214]: 24.26/4.13 (dsetconstr(X214,^[V_7]: $true) = X214)) => 24.26/4.13 ((![X216,X218]: 24.26/4.13 ((![X220]: 24.26/4.13 (in(X220,X218) => in(X220,X216))) => 24.26/4.13 in(X218,powerset(X216)))) => 24.26/4.13 ((![X222]: in(emptyset,powerset(X222))) => 24.26/4.13 ((![X224]: in(emptyset,powerset(X224))) => 24.26/4.13 ((![X226,X228,X230]: 24.26/4.13 (in(X228,powerset(X226)) => 24.26/4.13 (in(X230,X228) => in(X230,X226)))) => 24.26/4.13 ((![X232,X234,X236]: 24.26/4.13 (in(X234,X236) => 24.26/4.13 (in(X236,X232) => 24.26/4.13 in(X234,setunion(X232))))) => 24.26/4.13 ((![X238,X240]: 24.26/4.13 (in(X240,setunion(X238)) => 24.26/4.13 (![X242:$o]: 24.26/4.13 ((![X244]: 24.26/4.13 (in(X240,X244) => 24.26/4.13 (in(X244,X238) => X242))) => 24.26/4.13 X242)))) => 24.26/4.13 ((![X246,X248]: 24.26/4.13 (in(X248,X246) => 24.26/4.13 in(X248, 24.26/4.13 powerset(setunion(X246))))) => 24.26/4.13 ((![X250:(($i > $o))]: 24.26/4.13 ((?[X252]: 24.26/4.13 ((![X254]: 24.26/4.13 (X250(X254) => 24.26/4.13 (X252 = X254))) & 24.26/4.13 X250(X252))) => 24.26/4.13 (?[X256]: 24.26/4.13 (![X258]: 24.26/4.13 (X250(X258) <=> 24.26/4.13 (X258 = X256)))))) => 24.26/4.13 ((![X260]: 24.26/4.13 ((X260 != emptyset) => 24.26/4.13 (?[X262]: in(X262,X260)))) => 24.26/4.13 ((![X264,X266]: 24.26/4.13 (in(X264, 24.26/4.13 setadjoin(X266,emptyset)) => 24.26/4.13 (X264 = X266))) => 24.26/4.13 ((![X268,X270]: 24.26/4.13 ((X268 != X270) => 24.26/4.13 (~ 24.26/4.13 in(X270, 24.26/4.13 setadjoin(X268, 24.26/4.13 emptyset))))) => 24.26/4.13 ((![X272,X274]: 24.26/4.13 ((X272 = X274) => 24.26/4.13 in(X272, 24.26/4.13 setadjoin(X274, 24.26/4.13 emptyset)))) => 24.26/4.13 ((![X276,X278]: 24.26/4.13 (in(X276, 24.26/4.13 setadjoin(X278, 24.26/4.13 emptyset)) => 24.26/4.13 in(X278, 24.26/4.13 setadjoin(X276, 24.26/4.13 emptyset)))) => 24.26/4.13 ((![X280,X282,X284]: 24.26/4.13 (in(X284, 24.26/4.13 setadjoin(X280, 24.26/4.13 setadjoin( 24.26/4.13 X282, 24.26/4.13 emptyset))) => 24.26/4.13 ((X284 = X280) | 24.26/4.13 (X284 = X282)))) => 24.26/4.13 ((![X286,X288]: 24.26/4.13 in(X286, 24.26/4.13 setadjoin(X286, 24.26/4.13 setadjoin( 24.26/4.13 X288, 24.26/4.13 emptyset)))) => 24.26/4.13 ((![X290,X292]: 24.26/4.13 in(X292, 24.26/4.13 setadjoin(X290, 24.26/4.13 setadjoin( 24.26/4.13 X292, 24.26/4.13 emptyset)))) => 24.26/4.13 ((![X294,X296:(($i > $o))]: 24.26/4.13 ((?[X298]: 24.26/4.13 (X296(X298) & 24.26/4.13 in(X298,X294))) => 24.26/4.13 (dsetconstr( 24.26/4.13 X294, 24.26/4.13 ^[V_8]: X296(V_8)) != 24.26/4.13 emptyset))) => 24.26/4.13 ((![X300:(($i > $o)), 24.26/4.13 X302]: 24.26/4.13 (in(X302,emptyset) => 24.26/4.13 X300(X302))) => 24.26/4.13 ((![X304, 24.26/4.13 X306:(($i > $o))]: 24.26/4.13 ((~ 24.26/4.13 (![X308]: 24.26/4.13 (in(X308,X304) => 24.26/4.13 X306(X308)))) => 24.26/4.13 (?[X310]: 24.26/4.13 ((~X306(X310)) & 24.26/4.13 in(X310,X304))))) => 24.26/4.13 ((![X312, 24.26/4.13 X314:(($i > $o))]: 24.26/4.13 ((![X316]: 24.26/4.13 (in(X316,X312) => 24.26/4.13 (~X314(X316)))) => 24.26/4.13 (~ 24.26/4.13 (?[X318]: 24.26/4.13 (X314(X318) & 24.26/4.13 in( 24.26/4.13 X318,X312)))))) => 24.26/4.13 ((![X320, 24.26/4.13 X322:(($i > $o))]: 24.26/4.13 ((~ 24.26/4.13 (?[X324]: 24.26/4.13 (X322(X324) & 24.26/4.13 in( 24.26/4.13 X324,X320)))) => 24.26/4.13 (![X326]: 24.26/4.13 (in(X326,X320) => 24.26/4.13 (~X322(X326)))))) => 24.26/4.13 ((![X328, 24.26/4.13 X330:(($i > $o))]: 24.26/4.13 ((?[X332]: 24.26/4.13 ((~ 24.26/4.13 X330( 24.26/4.13 X332)) & 24.26/4.13 in( 24.26/4.13 X332,X328))) => 24.26/4.13 (~ 24.26/4.13 (![X334]: 24.26/4.13 (in( 24.26/4.13 X334,X328) => 24.26/4.13 X330( 24.26/4.13 X334)))))) => 24.26/4.13 ((![X336:$o]: 24.26/4.13 (X336 => 24.26/4.13 in(emptyset, 24.26/4.13 prop2set( 24.26/4.13 X336)))) => 24.26/4.13 ((![X338:$o]: 24.26/4.13 (X338 => 24.26/4.13 set2prop( 24.26/4.13 prop2set( 24.26/4.13 X338)))) => 24.26/4.13 ((![X340, 24.26/4.13 X342:( 24.26/4.13 ($i > $o))]: 24.26/4.13 ((~ 24.26/4.13 (?[X344]: 24.26/4.13 (X342( 24.26/4.13 X344) & 24.26/4.13 in( 24.26/4.13 X344,X340)))) => 24.26/4.13 (![X346]: 24.26/4.13 ( 24.26/4.13 in( 24.26/4.13 X346,X340) => 24.26/4.13 ( 24.26/4.13 ~ 24.26/4.13 X342( 24.26/4.13 X346)))))) => 24.26/4.13 ((![X348, 24.26/4.13 X350:( 24.26/4.13 ($i > $o))]: 24.26/4.13 ((~ 24.26/4.13 ( 24.26/4.13 ![X352]: 24.26/4.13 (in( 24.26/4.13 X352,X348) => 24.26/4.13 X350( 24.26/4.13 X352)))) => 24.26/4.13 (?[X354]: 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 X350( 24.26/4.13 X354)) & 24.26/4.13 in( 24.26/4.13 X354,X348))))) => 24.26/4.13 ((![X356:( 24.26/4.13 ($i > $o))]: 24.26/4.13 ((?[X358]: 24.26/4.13 (( 24.26/4.13 ![X360]: 24.26/4.13 (X356( 24.26/4.13 X360) => 24.26/4.13 (X358 = 24.26/4.13 X360))) & 24.26/4.13 X356( 24.26/4.13 X358))) => 24.26/4.13 (?[X362]: 24.26/4.13 (( 24.26/4.13 ![X364]: 24.26/4.13 (X356( 24.26/4.13 X364) => 24.26/4.13 (X362 = 24.26/4.13 X364))) & 24.26/4.13 X356( 24.26/4.13 X362))))) => 24.26/4.13 ((![X366:( 24.26/4.13 ($i > $o))]: 24.26/4.13 (( 24.26/4.13 ?[X368]: 24.26/4.13 X366( 24.26/4.13 X368)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X370, 24.26/4.13 X372]: 24.26/4.13 (X366( 24.26/4.13 X370) => 24.26/4.13 (X366( 24.26/4.13 X372) => 24.26/4.13 (X370 = 24.26/4.13 X372)))) => 24.26/4.13 ( 24.26/4.13 ?[X374]: 24.26/4.13 (( 24.26/4.13 ![X376]: 24.26/4.13 (X366( 24.26/4.13 X376) => 24.26/4.13 (X374 = 24.26/4.13 X376))) & 24.26/4.13 X366( 24.26/4.13 X374)))))) => 24.26/4.13 ((![X378:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ?[X380]: 24.26/4.13 (![X382]: 24.26/4.13 (X378( 24.26/4.13 X382) <=> 24.26/4.13 (X382 = 24.26/4.13 X380)))) => 24.26/4.13 ( 24.26/4.13 ?[X384]: 24.26/4.13 (( 24.26/4.13 ![X386]: 24.26/4.13 (X378( 24.26/4.13 X386) => 24.26/4.13 (X384 = 24.26/4.13 X386))) & 24.26/4.13 X378( 24.26/4.13 X384))))) => 24.26/4.13 ((![X388, 24.26/4.13 X390]: 24.26/4.13 (( 24.26/4.13 X388 = 24.26/4.13 X390) => 24.26/4.13 (![X392, 24.26/4.13 X394]: 24.26/4.13 (( 24.26/4.13 X392 = 24.26/4.13 X394) => 24.26/4.13 (in( 24.26/4.13 X392,X388) => 24.26/4.13 in( 24.26/4.13 X394,X390)))))) => 24.26/4.13 ((![X396, 24.26/4.13 X398]: 24.26/4.13 (( 24.26/4.13 X396 = 24.26/4.13 X398) => 24.26/4.13 (![X400, 24.26/4.13 X402]: 24.26/4.13 (( 24.26/4.13 X400 = 24.26/4.13 X402) => 24.26/4.13 (in( 24.26/4.13 X400,X396) <=> 24.26/4.13 in( 24.26/4.13 X402,X398)))))) => 24.26/4.13 (( 24.26/4.13 ![X404:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ?[X406]: 24.26/4.13 (( 24.26/4.13 ![X408]: 24.26/4.13 (X404( 24.26/4.13 X408) => 24.26/4.13 (X406 = 24.26/4.13 X408))) & 24.26/4.13 X404( 24.26/4.13 X406))) => 24.26/4.13 (![X410, 24.26/4.13 X412]: 24.26/4.13 (X404( 24.26/4.13 X410) => 24.26/4.13 (X404( 24.26/4.13 X412) => 24.26/4.13 (X410 = 24.26/4.13 X412)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X414:( 24.26/4.13 ( 24.26/4.13 $i > $o)), 24.26/4.13 X416:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ![X418, 24.26/4.13 X420]: 24.26/4.13 (( 24.26/4.13 X418 = 24.26/4.13 X420) => 24.26/4.13 (X414( 24.26/4.13 X418) <=> 24.26/4.13 X416( 24.26/4.13 X420)))) => 24.26/4.13 (( 24.26/4.13 ?[X422]: 24.26/4.13 zip_tseitin_5( 24.26/4.13 X422,X414)) <=> 24.26/4.13 (?[X426]: 24.26/4.13 zip_tseitin_5( 24.26/4.13 X426,X416))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 emptyset = 24.26/4.13 emptyset) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X430, 24.26/4.13 X432]: 24.26/4.13 (( 24.26/4.13 X430 = 24.26/4.13 X432) => 24.26/4.13 (![X434, 24.26/4.13 X436]: 24.26/4.13 (( 24.26/4.13 X434 = 24.26/4.13 X436) => 24.26/4.13 (setadjoin( 24.26/4.13 X430,X434) = 24.26/4.13 setadjoin( 24.26/4.13 X432,X436)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X438, 24.26/4.13 X440]: 24.26/4.13 (( 24.26/4.13 X438 = 24.26/4.13 X440) => 24.26/4.13 (powerset( 24.26/4.13 X438) = 24.26/4.13 powerset( 24.26/4.13 X440)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X442, 24.26/4.13 X444]: 24.26/4.13 (( 24.26/4.13 X442 = 24.26/4.13 X444) => 24.26/4.13 (setunion( 24.26/4.13 X442) = 24.26/4.13 setunion( 24.26/4.13 X444)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 omega = 24.26/4.13 omega) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X446:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ?[X448]: 24.26/4.13 (( 24.26/4.13 ![X450]: 24.26/4.13 (X446( 24.26/4.13 X450) => 24.26/4.13 (X448 = 24.26/4.13 X450))) & 24.26/4.13 X446( 24.26/4.13 X448))) => 24.26/4.13 (![X452, 24.26/4.13 X454]: 24.26/4.13 (X446( 24.26/4.13 X452) => 24.26/4.13 (X446( 24.26/4.13 X454) => 24.26/4.13 (X452 = 24.26/4.13 X454)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X456:( 24.26/4.13 ( 24.26/4.13 $i > $o)), 24.26/4.13 X458:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ![X460, 24.26/4.13 X462]: 24.26/4.13 (( 24.26/4.13 X460 = 24.26/4.13 X462) => 24.26/4.13 (X456( 24.26/4.13 X460) <=> 24.26/4.13 X458( 24.26/4.13 X462)))) => 24.26/4.13 (( 24.26/4.13 ?[X464]: 24.26/4.13 (( 24.26/4.13 ![X466]: 24.26/4.13 (X456( 24.26/4.13 X466) => 24.26/4.13 (X464 = 24.26/4.13 X466))) & 24.26/4.13 X456( 24.26/4.13 X464))) => 24.26/4.13 (( 24.26/4.13 ?[X468]: 24.26/4.13 (( 24.26/4.13 ![X470]: 24.26/4.13 (X458( 24.26/4.13 X470) => 24.26/4.13 (X468 = 24.26/4.13 X470))) & 24.26/4.13 X458( 24.26/4.13 X468))) => 24.26/4.13 (descr( 24.26/4.13 ^[V_9]: 24.26/4.13 X456(V_9)) = 24.26/4.13 descr( 24.26/4.13 ^[V_10]: 24.26/4.13 X458( 24.26/4.13 V_10))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X472, 24.26/4.13 X474]: 24.26/4.13 (( 24.26/4.13 X472 = 24.26/4.13 X474) => 24.26/4.13 (![X476:( 24.26/4.13 ( 24.26/4.13 $i > $o)), 24.26/4.13 X478:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ![X480]: 24.26/4.13 (in( 24.26/4.13 X480,X472) => 24.26/4.13 (![X482]: 24.26/4.13 (in( 24.26/4.13 X482,X474) => 24.26/4.13 (( 24.26/4.13 X480 = 24.26/4.13 X482) => 24.26/4.13 (X476( 24.26/4.13 X480) <=> 24.26/4.13 X478( 24.26/4.13 X482))))))) => 24.26/4.13 (dsetconstr( 24.26/4.13 X472, 24.26/4.13 ^[V_11]: 24.26/4.13 X476( 24.26/4.13 V_11)) = 24.26/4.13 dsetconstr( 24.26/4.13 X474, 24.26/4.13 ^[V_12]: 24.26/4.13 X478( 24.26/4.13 V_12))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X484, 24.26/4.13 X486]: 24.26/4.13 (( 24.26/4.13 ![X488]: 24.26/4.13 (in( 24.26/4.13 X488,X484) => 24.26/4.13 in( 24.26/4.13 X488,X486))) => 24.26/4.13 subset( 24.26/4.13 X484,X486))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X490, 24.26/4.13 X492]: 24.26/4.13 (( 24.26/4.13 X490 = 24.26/4.13 X492) => 24.26/4.13 subset( 24.26/4.13 X492,X490))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X494, 24.26/4.13 X496]: 24.26/4.13 (( 24.26/4.13 X494 = 24.26/4.13 X496) => 24.26/4.13 subset( 24.26/4.13 X494,X496))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X498, 24.26/4.13 X500]: 24.26/4.13 (( 24.26/4.13 ![X502]: 24.26/4.13 (in( 24.26/4.13 X502,X498) => 24.26/4.13 in( 24.26/4.13 X502,X500))) => 24.26/4.13 subset( 24.26/4.13 X498,X500))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X504]: 24.26/4.13 subset( 24.26/4.13 emptyset, 24.26/4.13 X504)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X506, 24.26/4.13 X508,X510]: 24.26/4.13 (subset( 24.26/4.13 X506,X508) => 24.26/4.13 (in( 24.26/4.13 X510,X506) => 24.26/4.13 in( 24.26/4.13 X510,X508)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X512, 24.26/4.13 X514,X516]: 24.26/4.13 (subset( 24.26/4.13 X512,X514) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X516,X514)) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X516,X512))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X518, 24.26/4.13 X520,X522]: 24.26/4.13 (in( 24.26/4.13 X522,X518) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X522,X520)) => 24.26/4.13 (~ 24.26/4.13 subset( 24.26/4.13 X518,X520))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X524, 24.26/4.13 X526]: 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 subset( 24.26/4.13 X524,X526)) => 24.26/4.13 (X524 != 24.26/4.13 X526))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X528, 24.26/4.13 X530,X532]: 24.26/4.13 (in( 24.26/4.13 X532,X528) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X532,X530)) => 24.26/4.13 (X528 != 24.26/4.13 X530)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X534]: 24.26/4.13 subset( 24.26/4.13 X534,X534)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X536, 24.26/4.13 X538,X540]: 24.26/4.13 (subset( 24.26/4.13 X536,X538) => 24.26/4.13 (subset( 24.26/4.13 X538,X540) => 24.26/4.13 subset( 24.26/4.13 X536,X540)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X542, 24.26/4.13 X544]: 24.26/4.13 subset( 24.26/4.13 X544, 24.26/4.13 setadjoin( 24.26/4.13 X542,X544))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X546, 24.26/4.13 X548,X550]: 24.26/4.13 (subset( 24.26/4.13 X546,X550) => 24.26/4.13 subset( 24.26/4.13 X546, 24.26/4.13 setadjoin( 24.26/4.13 X548,X550)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X552, 24.26/4.13 X554]: 24.26/4.13 (subset( 24.26/4.13 X552,X554) => 24.26/4.13 in( 24.26/4.13 X552, 24.26/4.13 powerset( 24.26/4.13 X554)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X556, 24.26/4.13 X558]: 24.26/4.13 (subset( 24.26/4.13 X556,X558) => 24.26/4.13 (subset( 24.26/4.13 X558,X556) => 24.26/4.13 (X556 = 24.26/4.13 X558)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X560]: 24.26/4.13 (subset( 24.26/4.13 X560, 24.26/4.13 emptyset) => 24.26/4.13 (X560 = 24.26/4.13 emptyset))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X562, 24.26/4.13 X564]: 24.26/4.13 (subset( 24.26/4.13 X564,X562) => 24.26/4.13 in( 24.26/4.13 X564, 24.26/4.13 powerset( 24.26/4.13 X562)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X566, 24.26/4.13 X568]: 24.26/4.13 (in( 24.26/4.13 X568, 24.26/4.13 powerset( 24.26/4.13 X566)) => 24.26/4.13 subset( 24.26/4.13 X568,X566))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X570]: 24.26/4.13 in( 24.26/4.13 X570, 24.26/4.13 powerset( 24.26/4.13 X570))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X572, 24.26/4.13 X574]: 24.26/4.13 (subset( 24.26/4.13 X572,X574) => 24.26/4.13 subset( 24.26/4.13 powerset( 24.26/4.13 X572), 24.26/4.13 powerset( 24.26/4.13 X574)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X576, 24.26/4.13 X578:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 in( 24.26/4.13 dsetconstr( 24.26/4.13 X576, 24.26/4.13 ^[V_13]: 24.26/4.13 X578( 24.26/4.13 V_13)), 24.26/4.13 powerset( 24.26/4.13 X576))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X580, 24.26/4.13 X582:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 subset( 24.26/4.13 dsetconstr( 24.26/4.13 X580, 24.26/4.13 ^[V_14]: 24.26/4.13 X582( 24.26/4.13 V_14)), 24.26/4.13 X580)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X584, 24.26/4.13 X586,X588]: 24.26/4.13 (in( 24.26/4.13 X588,X584) => 24.26/4.13 in( 24.26/4.13 X588, 24.26/4.13 binunion( 24.26/4.13 X584,X586)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X590, 24.26/4.13 X592]: 24.26/4.13 in( 24.26/4.13 X592, 24.26/4.13 setadjoin( 24.26/4.13 X590, 24.26/4.13 setadjoin( 24.26/4.13 X592, 24.26/4.13 emptyset)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X594, 24.26/4.13 X596,X598]: 24.26/4.13 (in( 24.26/4.13 X598,X596) => 24.26/4.13 in( 24.26/4.13 X598, 24.26/4.13 binunion( 24.26/4.13 X594,X596)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X600, 24.26/4.13 X602, 24.26/4.13 X604, 24.26/4.13 X606:$o]: 24.26/4.13 (in( 24.26/4.13 X604, 24.26/4.13 binunion( 24.26/4.13 X600,X602)) => 24.26/4.13 (( 24.26/4.13 in( 24.26/4.13 X604,X600) => 24.26/4.13 X606) => 24.26/4.13 (( 24.26/4.13 in( 24.26/4.13 X604,X602) => 24.26/4.13 X606) => 24.26/4.13 X606)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X608, 24.26/4.13 X610,X612]: 24.26/4.13 (in( 24.26/4.13 X612, 24.26/4.13 binunion( 24.26/4.13 X608,X610)) => 24.26/4.13 (in( 24.26/4.13 X612,X608) | 24.26/4.13 in( 24.26/4.13 X612,X610)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X614, 24.26/4.13 X616]: 24.26/4.13 subset( 24.26/4.13 X614, 24.26/4.13 binunion( 24.26/4.13 X614,X616))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X618, 24.26/4.13 X620]: 24.26/4.13 subset( 24.26/4.13 X620, 24.26/4.13 binunion( 24.26/4.13 X618,X620))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X622, 24.26/4.13 X624,X626]: 24.26/4.13 (in( 24.26/4.13 X626,X622) => 24.26/4.13 (in( 24.26/4.13 X626,X624) => 24.26/4.13 in( 24.26/4.13 X626, 24.26/4.13 binintersect( 24.26/4.13 X622,X624))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X628, 24.26/4.13 X630,X632]: 24.26/4.13 (subset( 24.26/4.13 X632,X628) => 24.26/4.13 (subset( 24.26/4.13 X632,X630) => 24.26/4.13 subset( 24.26/4.13 X632, 24.26/4.13 binintersect( 24.26/4.13 X628,X630))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X634, 24.26/4.13 X636,X638]: 24.26/4.13 (in( 24.26/4.13 X638, 24.26/4.13 binintersect( 24.26/4.13 X634,X636)) => 24.26/4.13 in( 24.26/4.13 X638,X634))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X640, 24.26/4.13 X642]: 24.26/4.13 subset( 24.26/4.13 binintersect( 24.26/4.13 X640,X642), 24.26/4.13 X640)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X644, 24.26/4.13 X646]: 24.26/4.13 (subset( 24.26/4.13 X644,X646) => 24.26/4.13 (binintersect( 24.26/4.13 X644,X646) = 24.26/4.13 X644))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X648, 24.26/4.13 X650]: 24.26/4.13 (( 24.26/4.13 binintersect( 24.26/4.13 X648,X650) = 24.26/4.13 X650) => 24.26/4.13 subset( 24.26/4.13 X650,X648))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X652, 24.26/4.13 X654,X656]: 24.26/4.13 (in( 24.26/4.13 X656, 24.26/4.13 binintersect( 24.26/4.13 X652,X654)) => 24.26/4.13 in( 24.26/4.13 X656,X654))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X658, 24.26/4.13 X660]: 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 ( 24.26/4.13 ?[X662]: 24.26/4.13 (in( 24.26/4.13 X662,X660) & 24.26/4.13 in( 24.26/4.13 X662,X658)))) => 24.26/4.13 (binintersect( 24.26/4.13 X658,X660) = 24.26/4.13 emptyset))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X664, 24.26/4.13 X666]: 24.26/4.13 subset( 24.26/4.13 binintersect( 24.26/4.13 X664,X666), 24.26/4.13 X666)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X668, 24.26/4.13 X670]: 24.26/4.13 (subset( 24.26/4.13 X670,X668) => 24.26/4.13 (binintersect( 24.26/4.13 X668,X670) = 24.26/4.13 X670))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X672, 24.26/4.13 X674]: 24.26/4.13 (( 24.26/4.13 binintersect( 24.26/4.13 X672,X674) = 24.26/4.13 X672) => 24.26/4.13 subset( 24.26/4.13 X672,X674))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X676, 24.26/4.13 X678,X680]: 24.26/4.13 (binintersect( 24.26/4.13 X676, 24.26/4.13 binunion( 24.26/4.13 X678,X680)) = 24.26/4.13 binunion( 24.26/4.13 binintersect( 24.26/4.13 X676,X678), 24.26/4.13 binintersect( 24.26/4.13 X676,X680)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X682, 24.26/4.13 X684,X686]: 24.26/4.13 (in( 24.26/4.13 X686,X682) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X686,X684)) => 24.26/4.13 in( 24.26/4.13 X686, 24.26/4.13 setminus( 24.26/4.13 X682,X684))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X688, 24.26/4.13 X690,X692]: 24.26/4.13 (in( 24.26/4.13 X692, 24.26/4.13 setminus( 24.26/4.13 X688,X690)) => 24.26/4.13 in( 24.26/4.13 X692,X688))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X694, 24.26/4.13 X696,X698]: 24.26/4.13 (in( 24.26/4.13 X698, 24.26/4.13 setminus( 24.26/4.13 X694,X696)) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X698,X696)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X700, 24.26/4.13 X702]: 24.26/4.13 (subset( 24.26/4.13 X700,X702) => 24.26/4.13 (setminus( 24.26/4.13 X700,X702) = 24.26/4.13 emptyset))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X704, 24.26/4.13 X706,X708]: 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X708, 24.26/4.13 setminus( 24.26/4.13 X704,X706))) => 24.26/4.13 (in( 24.26/4.13 X708,X704) => 24.26/4.13 in( 24.26/4.13 X708,X706)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X710, 24.26/4.13 X712,X714]: 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X714, 24.26/4.13 setminus( 24.26/4.13 X710,X712))) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X714,X712)) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X714,X710))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X716, 24.26/4.13 X718,X720]: 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X720,X716)) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X720, 24.26/4.13 setminus( 24.26/4.13 X716,X718))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X722, 24.26/4.13 X724,X726]: 24.26/4.13 (in( 24.26/4.13 X726,X724) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X726, 24.26/4.13 setminus( 24.26/4.13 X722,X724))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X728, 24.26/4.13 X730]: 24.26/4.13 subset( 24.26/4.13 setminus( 24.26/4.13 X728,X730), 24.26/4.13 X728)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X732, 24.26/4.13 X734]: 24.26/4.13 (( 24.26/4.13 setminus( 24.26/4.13 X732,X734) = 24.26/4.13 emptyset) => 24.26/4.13 subset( 24.26/4.13 X732,X734))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X736, 24.26/4.13 X738,X740]: 24.26/4.13 (in( 24.26/4.13 X740, 24.26/4.13 symdiff( 24.26/4.13 X736,X738)) => 24.26/4.13 (![X742:$o]: 24.26/4.13 (( 24.26/4.13 in( 24.26/4.13 X740,X736) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X740,X738)) => 24.26/4.13 X742)) => 24.26/4.13 (( 24.26/4.13 ( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X740,X736)) => 24.26/4.13 ( 24.26/4.13 in( 24.26/4.13 X740,X738) => 24.26/4.13 X742)) => 24.26/4.13 X742))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X744, 24.26/4.13 X746,X748]: 24.26/4.13 (in( 24.26/4.13 X748,X744) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X748,X746)) => 24.26/4.13 in( 24.26/4.13 X748, 24.26/4.13 symdiff( 24.26/4.13 X744,X746))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X750, 24.26/4.13 X752,X754]: 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X754,X750)) => 24.26/4.13 (in( 24.26/4.13 X754,X752) => 24.26/4.13 in( 24.26/4.13 X754, 24.26/4.13 symdiff( 24.26/4.13 X750,X752))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X756, 24.26/4.13 X758,X760]: 24.26/4.13 (in( 24.26/4.13 X760,X756) => 24.26/4.13 (in( 24.26/4.13 X760,X758) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X760, 24.26/4.13 symdiff( 24.26/4.13 X756,X758)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X762, 24.26/4.13 X764,X766]: 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X766,X762)) => 24.26/4.13 (( 24.26/4.13 ~ 24.26/4.13 in( 24.26/4.13 X766,X764)) => 24.26/4.13 (~ 24.26/4.13 in( 24.26/4.13 X766, 24.26/4.13 symdiff( 24.26/4.13 X762,X764)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X768, 24.26/4.13 X770]: 24.26/4.13 in( 24.26/4.13 X770, 24.26/4.13 setadjoin( 24.26/4.13 X768, 24.26/4.13 setadjoin( 24.26/4.13 X770, 24.26/4.13 emptyset)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X772, 24.26/4.13 X774]: 24.26/4.13 in( 24.26/4.13 X772, 24.26/4.13 setunion( 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X772, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X772, 24.26/4.13 setadjoin( 24.26/4.13 X774, 24.26/4.13 emptyset)), 24.26/4.13 emptyset))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X776, 24.26/4.13 X778]: 24.26/4.13 in( 24.26/4.13 X778, 24.26/4.13 setunion( 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X776, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X776, 24.26/4.13 setadjoin( 24.26/4.13 X778, 24.26/4.13 emptyset)), 24.26/4.13 emptyset))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X780, 24.26/4.13 X782]: 24.26/4.13 iskpair( 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X780, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X780, 24.26/4.13 setadjoin( 24.26/4.13 X782, 24.26/4.13 emptyset)), 24.26/4.13 emptyset)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X784, 24.26/4.13 X786]: 24.26/4.13 iskpair( 24.26/4.13 kpair( 24.26/4.13 X784,X786))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X788, 24.26/4.13 X790]: 24.26/4.13 (in( 24.26/4.13 X790,X788) => 24.26/4.13 subset( 24.26/4.13 setadjoin( 24.26/4.13 X790, 24.26/4.13 emptyset), 24.26/4.13 X788))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X792, 24.26/4.13 X794]: 24.26/4.13 (in( 24.26/4.13 X794,X792) => 24.26/4.13 in( 24.26/4.13 setadjoin( 24.26/4.13 X794, 24.26/4.13 emptyset), 24.26/4.13 powerset( 24.26/4.13 X792)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X796, 24.26/4.13 X798,X800]: 24.26/4.13 (in( 24.26/4.13 X800,X796) => 24.26/4.13 in( 24.26/4.13 setadjoin( 24.26/4.13 X800, 24.26/4.13 emptyset), 24.26/4.13 powerset( 24.26/4.13 binunion( 24.26/4.13 X796,X798))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X802, 24.26/4.13 X804,X806]: 24.26/4.13 (in( 24.26/4.13 X806, 24.26/4.13 setadjoin( 24.26/4.13 X802, 24.26/4.13 setadjoin( 24.26/4.13 X804, 24.26/4.13 emptyset))) => 24.26/4.13 (( 24.26/4.13 X806 = 24.26/4.13 X802) | 24.26/4.13 (X806 = 24.26/4.13 X804)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X808, 24.26/4.13 X810,X812]: 24.26/4.13 (in( 24.26/4.13 X812,X808) => 24.26/4.13 (![X814]: 24.26/4.13 (in( 24.26/4.13 X814,X810) => 24.26/4.13 subset( 24.26/4.13 setadjoin( 24.26/4.13 X812, 24.26/4.13 setadjoin( 24.26/4.13 X814, 24.26/4.13 emptyset)), 24.26/4.13 binunion( 24.26/4.13 X808,X810)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X816, 24.26/4.13 X818,X820]: 24.26/4.13 (in( 24.26/4.13 X820,X816) => 24.26/4.13 (![X822]: 24.26/4.13 (in( 24.26/4.13 X822,X818) => 24.26/4.13 in( 24.26/4.13 setadjoin( 24.26/4.13 X820, 24.26/4.13 setadjoin( 24.26/4.13 X822, 24.26/4.13 emptyset)), 24.26/4.13 powerset( 24.26/4.13 binunion( 24.26/4.13 X816,X818))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X824, 24.26/4.13 X826,X828]: 24.26/4.13 (in( 24.26/4.13 X828,X824) => 24.26/4.13 (![X830]: 24.26/4.13 (in( 24.26/4.13 X830,X826) => 24.26/4.13 subset( 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X828, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X828, 24.26/4.13 setadjoin( 24.26/4.13 X830, 24.26/4.13 emptyset)), 24.26/4.13 emptyset)), 24.26/4.13 powerset( 24.26/4.13 binunion( 24.26/4.13 X824,X826))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X832, 24.26/4.13 X834,X836]: 24.26/4.13 (in( 24.26/4.13 X836,X832) => 24.26/4.13 (![X838]: 24.26/4.13 (in( 24.26/4.13 X838,X834) => 24.26/4.13 in( 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X836, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X836, 24.26/4.13 setadjoin( 24.26/4.13 X838, 24.26/4.13 emptyset)), 24.26/4.13 emptyset)), 24.26/4.13 powerset( 24.26/4.13 powerset( 24.26/4.13 binunion( 24.26/4.13 X832,X834)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X840, 24.26/4.13 X842,X844]: 24.26/4.13 (in( 24.26/4.13 X844,X840) => 24.26/4.13 (![X846]: 24.26/4.13 (in( 24.26/4.13 X846,X842) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X844,X846), 24.26/4.13 powerset( 24.26/4.13 powerset( 24.26/4.13 binunion( 24.26/4.13 X840,X842)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X848, 24.26/4.13 X850,X852]: 24.26/4.13 (in( 24.26/4.13 X852,X848) => 24.26/4.13 (![X854]: 24.26/4.13 (in( 24.26/4.13 X854,X850) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X852,X854), 24.26/4.13 cartprod( 24.26/4.13 X848,X850)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X856, 24.26/4.13 X858,X860]: 24.26/4.13 (in( 24.26/4.13 X860, 24.26/4.13 cartprod( 24.26/4.13 X856,X858)) => 24.26/4.13 (?[X862]: 24.26/4.13 (( 24.26/4.13 ?[X864]: 24.26/4.13 (( 24.26/4.13 X860 = 24.26/4.13 kpair( 24.26/4.13 X862,X864)) & 24.26/4.13 in( 24.26/4.13 X864,X858))) & 24.26/4.13 in( 24.26/4.13 X862,X856))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X866, 24.26/4.13 X868,X870]: 24.26/4.13 (in( 24.26/4.13 X870, 24.26/4.13 cartprod( 24.26/4.13 X866,X868)) => 24.26/4.13 iskpair( 24.26/4.13 X870))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X872, 24.26/4.13 X874]: 24.26/4.13 (in( 24.26/4.13 X874, 24.26/4.13 setunion( 24.26/4.13 X872)) => 24.26/4.13 (?[X876]: 24.26/4.13 (in( 24.26/4.13 X874,X876) & 24.26/4.13 in( 24.26/4.13 X876,X872))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X878]: 24.26/4.13 subset( 24.26/4.13 setunion( 24.26/4.13 setadjoin( 24.26/4.13 X878, 24.26/4.13 emptyset)), 24.26/4.13 X878)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X880]: 24.26/4.13 subset( 24.26/4.13 X880, 24.26/4.13 setunion( 24.26/4.13 setadjoin( 24.26/4.13 X880, 24.26/4.13 emptyset)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X882]: 24.26/4.13 (setunion( 24.26/4.13 setadjoin( 24.26/4.13 X882, 24.26/4.13 emptyset)) = 24.26/4.13 X882)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X884, 24.26/4.13 X886:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ![X888]: 24.26/4.13 (in( 24.26/4.13 X888,X884) => 24.26/4.13 (![X890]: 24.26/4.13 (in( 24.26/4.13 X890,X884) => 24.26/4.13 (X886( 24.26/4.13 X888) => 24.26/4.13 (X886( 24.26/4.13 X890) => 24.26/4.13 (X888 = 24.26/4.13 X890))))))) => 24.26/4.13 (( 24.26/4.13 ?[X892]: 24.26/4.13 (X886( 24.26/4.13 X892) & 24.26/4.13 in( 24.26/4.13 X892,X884))) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X884, 24.26/4.13 ^[V_15]: 24.26/4.13 X886( 24.26/4.13 V_15)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X894, 24.26/4.13 X896:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X894, 24.26/4.13 ^[V_16]: 24.26/4.13 X896( 24.26/4.13 V_16))) => 24.26/4.13 (?[X898]: 24.26/4.13 (X896( 24.26/4.13 X898) & 24.26/4.13 in( 24.26/4.13 X898,X894))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X900, 24.26/4.13 X902:( 24.26/4.13 ( 24.26/4.13 $i > $o)), 24.26/4.13 X904]: 24.26/4.13 (in( 24.26/4.13 X904,X900) => 24.26/4.13 (X902( 24.26/4.13 X904) => 24.26/4.13 (( 24.26/4.13 ![X906]: 24.26/4.13 (in( 24.26/4.13 X906,X900) => 24.26/4.13 (X902( 24.26/4.13 X906) => 24.26/4.13 (X906 = 24.26/4.13 X904)))) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X900, 24.26/4.13 ^[V_17]: 24.26/4.13 X902( 24.26/4.13 V_17))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X908, 24.26/4.13 X910:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ![X912]: 24.26/4.13 (in( 24.26/4.13 X912,X908) => 24.26/4.13 (![X914]: 24.26/4.13 (in( 24.26/4.13 X914,X908) => 24.26/4.13 (X910( 24.26/4.13 X912) => 24.26/4.13 (X910( 24.26/4.13 X914) => 24.26/4.13 (X912 = 24.26/4.13 X914))))))) => 24.26/4.13 (( 24.26/4.13 ?[X916]: 24.26/4.13 (X910( 24.26/4.13 X916) & 24.26/4.13 in( 24.26/4.13 X916,X908))) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X908, 24.26/4.13 ^[V_18]: 24.26/4.13 X910( 24.26/4.13 V_18)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X918, 24.26/4.13 X920]: 24.26/4.13 (( 24.26/4.13 setadjoin( 24.26/4.13 X918, 24.26/4.13 emptyset) = 24.26/4.13 setadjoin( 24.26/4.13 X920, 24.26/4.13 emptyset)) => 24.26/4.13 (X918 = 24.26/4.13 X920))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X922, 24.26/4.13 X924,X926]: 24.26/4.13 (in( 24.26/4.13 setadjoin( 24.26/4.13 X926, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X922, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X922, 24.26/4.13 setadjoin( 24.26/4.13 X924, 24.26/4.13 emptyset)), 24.26/4.13 emptyset))) => 24.26/4.13 (X922 = 24.26/4.13 X926))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X928]: 24.26/4.13 (iskpair( 24.26/4.13 X928) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 setunion( 24.26/4.13 X928), 24.26/4.13 ^[V_19]: 24.26/4.13 in( 24.26/4.13 setadjoin( 24.26/4.13 V_19, 24.26/4.13 emptyset), 24.26/4.13 X928))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X930]: 24.26/4.13 (singleton( 24.26/4.13 X930) => 24.26/4.13 in( 24.26/4.13 setunion( 24.26/4.13 X930), 24.26/4.13 X930))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X932, 24.26/4.13 X934]: 24.26/4.13 (kfst( 24.26/4.13 kpair( 24.26/4.13 X932,X934)) = 24.26/4.13 X932)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X936, 24.26/4.13 X938,X940]: 24.26/4.13 (in( 24.26/4.13 X940, 24.26/4.13 cartprod( 24.26/4.13 X936,X938)) => 24.26/4.13 in( 24.26/4.13 kfst( 24.26/4.13 X940), 24.26/4.13 X936))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X942, 24.26/4.13 X944, 24.26/4.13 X946,X948]: 24.26/4.13 (( 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X942, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X942, 24.26/4.13 setadjoin( 24.26/4.13 X944, 24.26/4.13 emptyset)), 24.26/4.13 emptyset)) = 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X946, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X946, 24.26/4.13 setadjoin( 24.26/4.13 X948, 24.26/4.13 emptyset)), 24.26/4.13 emptyset))) => 24.26/4.13 (X942 = 24.26/4.13 X946))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X950, 24.26/4.13 X952, 24.26/4.13 X954,X956]: 24.26/4.13 (( 24.26/4.13 kpair( 24.26/4.13 X950,X952) = 24.26/4.13 kpair( 24.26/4.13 X954,X956)) => 24.26/4.13 (X950 = 24.26/4.13 X954))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X958, 24.26/4.13 X960]: 24.26/4.13 (( 24.26/4.13 X958 = 24.26/4.13 X960) => 24.26/4.13 (setadjoin( 24.26/4.13 X958, 24.26/4.13 setadjoin( 24.26/4.13 X960, 24.26/4.13 emptyset)) = 24.26/4.13 setadjoin( 24.26/4.13 X958, 24.26/4.13 emptyset)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X962, 24.26/4.13 X964]: 24.26/4.13 (( 24.26/4.13 X962 = 24.26/4.13 X964) => 24.26/4.13 (setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X962, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X962, 24.26/4.13 setadjoin( 24.26/4.13 X964, 24.26/4.13 emptyset)), 24.26/4.13 emptyset)) = 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X962, 24.26/4.13 emptyset), 24.26/4.13 emptyset)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X966, 24.26/4.13 X968, 24.26/4.13 X970,X972]: 24.26/4.13 (( 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X966, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X966, 24.26/4.13 setadjoin( 24.26/4.13 X968, 24.26/4.13 emptyset)), 24.26/4.13 emptyset)) = 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X970, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X970, 24.26/4.13 setadjoin( 24.26/4.13 X972, 24.26/4.13 emptyset)), 24.26/4.13 emptyset))) => 24.26/4.13 (( 24.26/4.13 X970 = 24.26/4.13 X972) => 24.26/4.13 (X968 = 24.26/4.13 X972)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X974, 24.26/4.13 X976,X978]: 24.26/4.13 (( 24.26/4.13 setadjoin( 24.26/4.13 X974, 24.26/4.13 setadjoin( 24.26/4.13 X976, 24.26/4.13 emptyset)) = 24.26/4.13 setadjoin( 24.26/4.13 X978, 24.26/4.13 emptyset)) => 24.26/4.13 (X974 = 24.26/4.13 X976))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X980, 24.26/4.13 X982, 24.26/4.13 X984,X986]: 24.26/4.13 (( 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X980, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X980, 24.26/4.13 setadjoin( 24.26/4.13 X982, 24.26/4.13 emptyset)), 24.26/4.13 emptyset)) = 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X984, 24.26/4.13 emptyset), 24.26/4.13 setadjoin( 24.26/4.13 setadjoin( 24.26/4.13 X984, 24.26/4.13 setadjoin( 24.26/4.13 X986, 24.26/4.13 emptyset)), 24.26/4.13 emptyset))) => 24.26/4.13 (X982 = 24.26/4.13 X986))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X988, 24.26/4.13 X990, 24.26/4.13 X992,X994]: 24.26/4.13 (( 24.26/4.13 kpair( 24.26/4.13 X988,X990) = 24.26/4.13 kpair( 24.26/4.13 X992,X994)) => 24.26/4.13 (X990 = 24.26/4.13 X994))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X996]: 24.26/4.13 (iskpair( 24.26/4.13 X996) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 setunion( 24.26/4.13 X996), 24.26/4.13 ^[V_20]: 24.26/4.13 (X996 = 24.26/4.13 kpair( 24.26/4.13 kfst( 24.26/4.13 X996), 24.26/4.13 V_20)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X998, 24.26/4.13 X1000]: 24.26/4.13 (ksnd( 24.26/4.13 kpair( 24.26/4.13 X998, 24.26/4.13 X1000)) = 24.26/4.13 X1000)) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1002]: 24.26/4.13 (iskpair( 24.26/4.13 X1002) => 24.26/4.13 (kpair( 24.26/4.13 kfst( 24.26/4.13 X1002), 24.26/4.13 ksnd( 24.26/4.13 X1002)) = 24.26/4.13 X1002))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1004, 24.26/4.13 X1006, 24.26/4.13 X1008]: 24.26/4.13 (in( 24.26/4.13 X1008, 24.26/4.13 cartprod( 24.26/4.13 X1004, 24.26/4.13 X1006)) => 24.26/4.13 in( 24.26/4.13 ksnd( 24.26/4.13 X1008), 24.26/4.13 X1006))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1010, 24.26/4.13 X1012, 24.26/4.13 X1014, 24.26/4.13 X1016]: 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1014, 24.26/4.13 X1016), 24.26/4.13 cartprod( 24.26/4.13 X1010, 24.26/4.13 X1012)) => 24.26/4.13 in( 24.26/4.13 X1014, 24.26/4.13 X1010))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1018, 24.26/4.13 X1020, 24.26/4.13 X1022, 24.26/4.13 X1024]: 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1022, 24.26/4.13 X1024), 24.26/4.13 cartprod( 24.26/4.13 X1018, 24.26/4.13 X1020)) => 24.26/4.13 in( 24.26/4.13 X1024, 24.26/4.13 X1020))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1026, 24.26/4.13 X1028, 24.26/4.13 X1030]: 24.26/4.13 (in( 24.26/4.13 X1030, 24.26/4.13 X1026) => 24.26/4.13 (![X1032]: 24.26/4.13 (in( 24.26/4.13 X1032, 24.26/4.13 X1028) => 24.26/4.13 (kpair( 24.26/4.13 X1030, 24.26/4.13 X1032) = 24.26/4.13 kpair( 24.26/4.13 X1030, 24.26/4.13 X1032)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1034, 24.26/4.13 X1036, 24.26/4.13 X1038]: 24.26/4.13 (in( 24.26/4.13 X1038, 24.26/4.13 X1034) => 24.26/4.13 (![X1040]: 24.26/4.13 (in( 24.26/4.13 X1040, 24.26/4.13 X1036) => 24.26/4.13 (kfst( 24.26/4.13 kpair( 24.26/4.13 X1038, 24.26/4.13 X1040)) = 24.26/4.13 X1038))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1042, 24.26/4.13 X1044, 24.26/4.13 X1046]: 24.26/4.13 (in( 24.26/4.13 X1046, 24.26/4.13 X1042) => 24.26/4.13 (![X1048]: 24.26/4.13 (in( 24.26/4.13 X1048, 24.26/4.13 X1044) => 24.26/4.13 (ksnd( 24.26/4.13 kpair( 24.26/4.13 X1046, 24.26/4.13 X1048)) = 24.26/4.13 X1048))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1050, 24.26/4.13 X1052, 24.26/4.13 X1054]: 24.26/4.13 (in( 24.26/4.13 X1054, 24.26/4.13 cartprod( 24.26/4.13 X1050, 24.26/4.13 X1052)) => 24.26/4.13 (kpair( 24.26/4.13 kfst( 24.26/4.13 X1054), 24.26/4.13 ksnd( 24.26/4.13 X1054)) = 24.26/4.13 X1054))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1056, 24.26/4.13 X1058, 24.26/4.13 X1060:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o),X1062]: 24.26/4.13 (in( 24.26/4.13 X1062, 24.26/4.13 X1056) => 24.26/4.13 (![X1064]: 24.26/4.13 (in( 24.26/4.13 X1064, 24.26/4.13 X1058) => 24.26/4.13 (X1060( 24.26/4.13 X1062, 24.26/4.13 X1064) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1062, 24.26/4.13 X1064), 24.26/4.13 dpsetconstr( 24.26/4.13 X1056, 24.26/4.13 X1058, 24.26/4.13 ^[V_21, 24.26/4.13 V_22]: 24.26/4.13 X1060( 24.26/4.13 V_21,V_22)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1066, 24.26/4.13 X1068, 24.26/4.13 X1070:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o)]: 24.26/4.13 subset( 24.26/4.13 dpsetconstr( 24.26/4.13 X1066, 24.26/4.13 X1068, 24.26/4.13 ^[V_23, 24.26/4.13 V_24]: 24.26/4.13 X1070( 24.26/4.13 V_23,V_24)), 24.26/4.13 cartprod( 24.26/4.13 X1066, 24.26/4.13 X1068))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1072, 24.26/4.13 X1074, 24.26/4.13 X1076:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o)]: 24.26/4.13 subset( 24.26/4.13 dpsetconstr( 24.26/4.13 X1072, 24.26/4.13 X1074, 24.26/4.13 ^[V_25, 24.26/4.13 V_26]: 24.26/4.13 X1076( 24.26/4.13 V_25,V_26)), 24.26/4.13 cartprod( 24.26/4.13 X1072, 24.26/4.13 X1074))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1078, 24.26/4.13 X1080, 24.26/4.13 X1082:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o),X1084]: 24.26/4.13 (in( 24.26/4.13 X1084, 24.26/4.13 X1078) => 24.26/4.13 (![X1086]: 24.26/4.13 (in( 24.26/4.13 X1086, 24.26/4.13 X1080) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1084, 24.26/4.13 X1086), 24.26/4.13 dpsetconstr( 24.26/4.13 X1078, 24.26/4.13 X1080, 24.26/4.13 ^[V_27, 24.26/4.13 V_28]: 24.26/4.13 X1082( 24.26/4.13 V_27,V_28))) => 24.26/4.13 X1082( 24.26/4.13 X1084, 24.26/4.13 X1086)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1088, 24.26/4.13 X1090, 24.26/4.13 X1092:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o), 24.26/4.13 X1094, 24.26/4.13 X1096]: 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1094, 24.26/4.13 X1096), 24.26/4.13 dpsetconstr( 24.26/4.13 X1088, 24.26/4.13 X1090, 24.26/4.13 ^[V_29, 24.26/4.13 V_30]: 24.26/4.13 X1092( 24.26/4.13 V_29,V_30))) => 24.26/4.13 in( 24.26/4.13 X1094, 24.26/4.13 X1088))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1098, 24.26/4.13 X1100, 24.26/4.13 X1102:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o), 24.26/4.13 X1104, 24.26/4.13 X1106]: 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1104, 24.26/4.13 X1106), 24.26/4.13 dpsetconstr( 24.26/4.13 X1098, 24.26/4.13 X1100, 24.26/4.13 ^[V_31, 24.26/4.13 V_32]: 24.26/4.13 X1102( 24.26/4.13 V_31,V_32))) => 24.26/4.13 in( 24.26/4.13 X1106, 24.26/4.13 X1100))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1108, 24.26/4.13 X1110, 24.26/4.13 X1112:( 24.26/4.13 ($i * $i) > 24.26/4.13 $o), 24.26/4.13 X1114, 24.26/4.13 X1116]: 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1114, 24.26/4.13 X1116), 24.26/4.13 dpsetconstr( 24.26/4.13 X1108, 24.26/4.13 X1110, 24.26/4.13 ^[V_33, 24.26/4.13 V_34]: 24.26/4.13 X1112( 24.26/4.13 V_33,V_34))) => 24.26/4.13 X1112( 24.26/4.13 X1114, 24.26/4.13 X1116))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1118, 24.26/4.13 X1120, 24.26/4.13 X1122]: 24.26/4.13 (func( 24.26/4.13 X1118, 24.26/4.13 X1120, 24.26/4.13 X1122) => 24.26/4.13 (![X1124]: 24.26/4.13 (in( 24.26/4.13 X1124, 24.26/4.13 X1118) => 24.26/4.13 singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X1120, 24.26/4.13 ^[V_35]: 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1124, 24.26/4.13 V_35), 24.26/4.13 X1122))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1126, 24.26/4.13 X1128, 24.26/4.13 X1130]: 24.26/4.13 (func( 24.26/4.13 X1126, 24.26/4.13 X1128, 24.26/4.13 X1130) => 24.26/4.13 (![X1132]: 24.26/4.13 (in( 24.26/4.13 X1132, 24.26/4.13 X1126) => 24.26/4.13 in( 24.26/4.13 setunion( 24.26/4.13 dsetconstr( 24.26/4.13 X1128, 24.26/4.13 ^[V_36]: 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1132, 24.26/4.13 V_36), 24.26/4.13 X1130))), 24.26/4.13 X1128))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1134, 24.26/4.13 X1136, 24.26/4.13 X1138]: 24.26/4.13 (func( 24.26/4.13 X1134, 24.26/4.13 X1136, 24.26/4.13 X1138) => 24.26/4.13 (![X1140]: 24.26/4.13 (in( 24.26/4.13 X1140, 24.26/4.13 X1134) => 24.26/4.13 in( 24.26/4.13 ap( 24.26/4.13 X1134, 24.26/4.13 X1136, 24.26/4.13 X1138, 24.26/4.13 X1140), 24.26/4.13 X1136))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1142, 24.26/4.13 X1144, 24.26/4.13 X1146]: 24.26/4.13 (in( 24.26/4.13 X1146, 24.26/4.13 funcSet( 24.26/4.13 X1142, 24.26/4.13 X1144)) => 24.26/4.13 func( 24.26/4.13 X1142, 24.26/4.13 X1144, 24.26/4.13 X1146))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1148, 24.26/4.13 X1150, 24.26/4.13 X1152]: 24.26/4.13 (in( 24.26/4.13 X1152, 24.26/4.13 funcSet( 24.26/4.13 X1148, 24.26/4.13 X1150)) => 24.26/4.13 (![X1154]: 24.26/4.13 (in( 24.26/4.13 X1154, 24.26/4.13 X1148) => 24.26/4.13 in( 24.26/4.13 ap( 24.26/4.13 X1148, 24.26/4.13 X1150, 24.26/4.13 X1152, 24.26/4.13 X1154), 24.26/4.13 X1150))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1156, 24.26/4.13 X1158, 24.26/4.13 X1160]: 24.26/4.13 (func( 24.26/4.13 X1156, 24.26/4.13 X1158, 24.26/4.13 X1160) => 24.26/4.13 in( 24.26/4.13 X1160, 24.26/4.13 funcSet( 24.26/4.13 X1156, 24.26/4.13 X1158)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1162, 24.26/4.13 X1164, 24.26/4.13 X1166:( 24.26/4.13 ( 24.26/4.13 $i > $i))]: 24.26/4.13 (( 24.26/4.13 ![X1168]: 24.26/4.13 (in( 24.26/4.13 X1168, 24.26/4.13 X1162) => 24.26/4.13 in( 24.26/4.13 X1166( 24.26/4.13 X1168), 24.26/4.13 X1164))) => 24.26/4.13 func( 24.26/4.13 X1162, 24.26/4.13 X1164, 24.26/4.13 dpsetconstr( 24.26/4.13 X1162, 24.26/4.13 X1164, 24.26/4.13 ^[V_37, 24.26/4.13 V_38]: 24.26/4.13 (X1166( 24.26/4.13 V_37) = 24.26/4.13 V_38))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1170, 24.26/4.13 X1172, 24.26/4.13 X1174:( 24.26/4.13 ( 24.26/4.13 $i > $i))]: 24.26/4.13 (( 24.26/4.13 ![X1176]: 24.26/4.13 (in( 24.26/4.13 X1176, 24.26/4.13 X1170) => 24.26/4.13 in( 24.26/4.13 X1174( 24.26/4.13 X1176), 24.26/4.13 X1172))) => 24.26/4.13 func( 24.26/4.13 X1170, 24.26/4.13 X1172, 24.26/4.13 lam( 24.26/4.13 X1170, 24.26/4.13 X1172, 24.26/4.13 ^[V_39]: 24.26/4.13 X1174( 24.26/4.13 V_39))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1178, 24.26/4.13 X1180, 24.26/4.13 X1182:( 24.26/4.13 ( 24.26/4.13 $i > $i))]: 24.26/4.13 (( 24.26/4.13 ![X1184]: 24.26/4.13 (in( 24.26/4.13 X1184, 24.26/4.13 X1178) => 24.26/4.13 in( 24.26/4.13 X1182( 24.26/4.13 X1184), 24.26/4.13 X1180))) => 24.26/4.13 in( 24.26/4.13 lam( 24.26/4.13 X1178, 24.26/4.13 X1180, 24.26/4.13 ^[V_40]: 24.26/4.13 X1182( 24.26/4.13 V_40)), 24.26/4.13 funcSet( 24.26/4.13 X1178, 24.26/4.13 X1180)))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1186, 24.26/4.13 X1188, 24.26/4.13 X1190]: 24.26/4.13 (subset( 24.26/4.13 X1190, 24.26/4.13 cartprod( 24.26/4.13 X1186, 24.26/4.13 X1188)) => 24.26/4.13 (![X1192:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ![X1194]: 24.26/4.13 (in( 24.26/4.13 X1194, 24.26/4.13 X1186) => 24.26/4.13 (![X1196]: 24.26/4.13 (in( 24.26/4.13 X1196, 24.26/4.13 X1188) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1194, 24.26/4.13 X1196), 24.26/4.13 X1190) => 24.26/4.13 X1192( 24.26/4.13 kpair( 24.26/4.13 X1194, 24.26/4.13 X1196))))))) => 24.26/4.13 (![X1198]: 24.26/4.13 (in( 24.26/4.13 X1198, 24.26/4.13 X1190) => 24.26/4.13 X1192( 24.26/4.13 X1198))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1200, 24.26/4.13 X1202, 24.26/4.13 X1204]: 24.26/4.13 (subset( 24.26/4.13 X1204, 24.26/4.13 cartprod( 24.26/4.13 X1200, 24.26/4.13 X1202)) => 24.26/4.13 (![X1206:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (( 24.26/4.13 ![X1208]: 24.26/4.13 (in( 24.26/4.13 X1208, 24.26/4.13 X1200) => 24.26/4.13 (![X1210]: 24.26/4.13 (in( 24.26/4.13 X1210, 24.26/4.13 X1202) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1208, 24.26/4.13 X1210), 24.26/4.13 X1204) => 24.26/4.13 X1206( 24.26/4.13 kpair( 24.26/4.13 X1208, 24.26/4.13 X1210))))))) => 24.26/4.13 (![X1212]: 24.26/4.13 (in( 24.26/4.13 X1212, 24.26/4.13 X1204) => 24.26/4.13 X1206( 24.26/4.13 X1212))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1214, 24.26/4.13 X1216:( 24.26/4.13 ( 24.26/4.13 $i > $o))]: 24.26/4.13 (singleton( 24.26/4.13 dsetconstr( 24.26/4.13 X1214, 24.26/4.13 ^[V_41]: 24.26/4.13 X1216( 24.26/4.13 V_41))) => 24.26/4.13 (![X1218]: 24.26/4.13 (in( 24.26/4.13 X1218, 24.26/4.13 X1214) => 24.26/4.13 (![X1220]: 24.26/4.13 (in( 24.26/4.13 X1220, 24.26/4.13 X1214) => 24.26/4.13 (X1216( 24.26/4.13 X1218) => 24.26/4.13 (X1216( 24.26/4.13 X1220) => 24.26/4.13 (X1218 = 24.26/4.13 X1220))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1222, 24.26/4.13 X1224, 24.26/4.13 X1226]: 24.26/4.13 (func( 24.26/4.13 X1222, 24.26/4.13 X1224, 24.26/4.13 X1226) => 24.26/4.13 (![X1228]: 24.26/4.13 (in( 24.26/4.13 X1228, 24.26/4.13 X1222) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1228, 24.26/4.13 ap( 24.26/4.13 X1222, 24.26/4.13 X1224, 24.26/4.13 X1226, 24.26/4.13 X1228)), 24.26/4.13 X1226))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1230, 24.26/4.13 X1232, 24.26/4.13 X1234]: 24.26/4.13 (in( 24.26/4.13 X1234, 24.26/4.13 funcSet( 24.26/4.13 X1230, 24.26/4.13 X1232)) => 24.26/4.13 (![X1236]: 24.26/4.13 (in( 24.26/4.13 X1236, 24.26/4.13 X1230) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1236, 24.26/4.13 ap( 24.26/4.13 X1230, 24.26/4.13 X1232, 24.26/4.13 X1234, 24.26/4.13 X1236)), 24.26/4.13 X1234))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1238, 24.26/4.13 X1240, 24.26/4.13 X1242]: 24.26/4.13 (func( 24.26/4.13 X1238, 24.26/4.13 X1240, 24.26/4.13 X1242) => 24.26/4.13 (![X1244]: 24.26/4.13 (in( 24.26/4.13 X1244, 24.26/4.13 X1238) => 24.26/4.13 (![X1246]: 24.26/4.13 (in( 24.26/4.13 X1246, 24.26/4.13 X1240) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1244, 24.26/4.13 X1246), 24.26/4.13 X1242) => 24.26/4.13 (ap( 24.26/4.13 X1238, 24.26/4.13 X1240, 24.26/4.13 X1242, 24.26/4.13 X1244) = 24.26/4.13 X1246)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1248, 24.26/4.13 X1250, 24.26/4.13 X1252]: 24.26/4.13 (func( 24.26/4.13 X1248, 24.26/4.13 X1250, 24.26/4.13 X1252) => 24.26/4.13 (![X1254]: 24.26/4.13 (func( 24.26/4.13 X1248, 24.26/4.13 X1250, 24.26/4.13 X1254) => 24.26/4.13 (( 24.26/4.13 ![X1256]: 24.26/4.13 (in( 24.26/4.13 X1256, 24.26/4.13 X1248) => 24.26/4.13 (ap( 24.26/4.13 X1248, 24.26/4.13 X1250, 24.26/4.13 X1252, 24.26/4.13 X1256) = 24.26/4.13 ap( 24.26/4.13 X1248, 24.26/4.13 X1250, 24.26/4.13 X1254, 24.26/4.13 X1256)))) => 24.26/4.13 (![X1258]: 24.26/4.13 (in( 24.26/4.13 X1258, 24.26/4.13 X1248) => 24.26/4.13 (![X1260]: 24.26/4.13 (in( 24.26/4.13 X1260, 24.26/4.13 X1250) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1258, 24.26/4.13 X1260), 24.26/4.13 X1254) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1258, 24.26/4.13 X1260), 24.26/4.13 X1252))))))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1262, 24.26/4.13 X1264, 24.26/4.13 X1266]: 24.26/4.13 (in( 24.26/4.13 X1266, 24.26/4.13 funcSet( 24.26/4.13 X1262, 24.26/4.13 X1264)) => 24.26/4.13 (![X1268]: 24.26/4.13 (in( 24.26/4.13 X1268, 24.26/4.13 X1262) => 24.26/4.13 (![X1270]: 24.26/4.13 (in( 24.26/4.13 X1270, 24.26/4.13 X1264) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1268, 24.26/4.13 X1270), 24.26/4.13 X1266) => 24.26/4.13 (ap( 24.26/4.13 X1262, 24.26/4.13 X1264, 24.26/4.13 X1266, 24.26/4.13 X1268) = 24.26/4.13 X1270)))))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1272, 24.26/4.13 X1274, 24.26/4.13 X1276]: 24.26/4.13 (subset( 24.26/4.13 X1276, 24.26/4.13 cartprod( 24.26/4.13 X1272, 24.26/4.13 X1274)) => 24.26/4.13 (![X1278]: 24.26/4.13 (subset( 24.26/4.13 X1278, 24.26/4.13 cartprod( 24.26/4.13 X1272, 24.26/4.13 X1274)) => 24.26/4.13 (( 24.26/4.13 ![X1280]: 24.26/4.13 (in( 24.26/4.13 X1280, 24.26/4.13 X1272) => 24.26/4.13 (![X1282]: 24.26/4.13 (in( 24.26/4.13 X1282, 24.26/4.13 X1274) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1280, 24.26/4.13 X1282), 24.26/4.13 X1276) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1280, 24.26/4.13 X1282), 24.26/4.13 X1278)))))) => 24.26/4.13 subset( 24.26/4.13 X1276, 24.26/4.13 X1278)))))) => 24.26/4.13 ( 24.26/4.13 ( 24.26/4.13 ![X1284, 24.26/4.13 X1286, 24.26/4.13 X1288]: 24.26/4.13 (subset( 24.26/4.13 X1288, 24.26/4.13 cartprod( 24.26/4.13 X1284, 24.26/4.13 X1286)) => 24.26/4.13 (![X1290]: 24.26/4.13 (subset( 24.26/4.13 X1290, 24.26/4.13 cartprod( 24.26/4.13 X1284, 24.26/4.13 X1286)) => 24.26/4.13 (( 24.26/4.13 ![X1292]: 24.26/4.13 (in( 24.26/4.13 X1292, 24.26/4.13 X1284) => 24.26/4.13 (![X1294]: 24.26/4.13 (in( 24.26/4.13 X1294, 24.26/4.13 X1286) => 24.26/4.13 (in( 24.26/4.13 kpair( 24.26/4.13 X1292, 24.26/4.13 X1294), 24.26/4.13 X1288) => 24.26/4.13 in( 24.26/4.13 kpair( 24.26/4.13 X1292, 24.26/4.13 X1294), 24.26/4.13 X1290)))))) => 24.26/4.13 (( 24.26/4.13 ![X1296]: 24.26/4.13 (in( 24.26/4.13 X1296, 24.26/4.13 X1284) => 24.26/4.13 (![X1298]: 24.26/4.13 (in( 24.26/4.13 X1298, 24.26/4.13 X1286) => 24.26/4.13 (in( 24.26/4.14 kpair( 24.26/4.14 X1296, 24.26/4.14 X1298), 24.26/4.14 X1290) => 24.26/4.14 in( 24.26/4.14 kpair( 24.26/4.14 X1296, 24.26/4.14 X1298), 24.26/4.14 X1288)))))) => 24.26/4.14 (X1288 = 24.26/4.14 X1290))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1300, 24.26/4.14 X1302, 24.26/4.14 X1304]: 24.26/4.14 (func( 24.26/4.14 X1300, 24.26/4.14 X1302, 24.26/4.14 X1304) => 24.26/4.14 (![X1306]: 24.26/4.14 (func( 24.26/4.14 X1300, 24.26/4.14 X1302, 24.26/4.14 X1306) => 24.26/4.14 (( 24.26/4.14 ![X1308]: 24.26/4.14 (in( 24.26/4.14 X1308, 24.26/4.14 X1300) => 24.26/4.14 (ap( 24.26/4.14 X1300, 24.26/4.14 X1302, 24.26/4.14 X1304, 24.26/4.14 X1308) = 24.26/4.14 ap( 24.26/4.14 X1300, 24.26/4.14 X1302, 24.26/4.14 X1306, 24.26/4.14 X1308)))) => 24.26/4.14 (X1304 = 24.26/4.14 X1306)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1310, 24.26/4.14 X1312, 24.26/4.14 X1314]: 24.26/4.14 (in( 24.26/4.14 X1314, 24.26/4.14 funcSet( 24.26/4.14 X1310, 24.26/4.14 X1312)) => 24.26/4.14 (![X1316]: 24.26/4.14 (in( 24.26/4.14 X1316, 24.26/4.14 funcSet( 24.26/4.14 X1310, 24.26/4.14 X1312)) => 24.26/4.14 (( 24.26/4.14 ![X1318]: 24.26/4.14 (in( 24.26/4.14 X1318, 24.26/4.14 X1310) => 24.26/4.14 (ap( 24.26/4.14 X1310, 24.26/4.14 X1312, 24.26/4.14 X1314, 24.26/4.14 X1318) = 24.26/4.14 ap( 24.26/4.14 X1310, 24.26/4.14 X1312, 24.26/4.14 X1316, 24.26/4.14 X1318)))) => 24.26/4.14 (X1314 = 24.26/4.14 X1316)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1320, 24.26/4.14 X1322, 24.26/4.14 X1324]: 24.26/4.14 (in( 24.26/4.14 X1324, 24.26/4.14 funcSet( 24.26/4.14 X1320, 24.26/4.14 X1322)) => 24.26/4.14 (![X1326]: 24.26/4.14 (in( 24.26/4.14 X1326, 24.26/4.14 X1320) => 24.26/4.14 (ap( 24.26/4.14 X1320, 24.26/4.14 X1322, 24.26/4.14 X1324, 24.26/4.14 X1326) = 24.26/4.14 ap( 24.26/4.14 X1320, 24.26/4.14 X1322, 24.26/4.14 X1324, 24.26/4.14 X1326)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1328, 24.26/4.14 X1330, 24.26/4.14 X1332]: 24.26/4.14 (func( 24.26/4.14 X1328, 24.26/4.14 X1330, 24.26/4.14 X1332) => 24.26/4.14 (![X1334]: 24.26/4.14 (in( 24.26/4.14 X1334, 24.26/4.14 X1328) => 24.26/4.14 (ap( 24.26/4.14 X1328, 24.26/4.14 X1330, 24.26/4.14 X1332, 24.26/4.14 X1334) = 24.26/4.14 ap( 24.26/4.14 X1328, 24.26/4.14 X1330, 24.26/4.14 X1332, 24.26/4.14 X1334)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1336, 24.26/4.14 X1338, 24.26/4.14 X1340:( 24.26/4.14 ( 24.26/4.14 $i > $i))]: 24.26/4.14 (( 24.26/4.14 ![X1342]: 24.26/4.14 (in( 24.26/4.14 X1342, 24.26/4.14 X1336) => 24.26/4.14 in( 24.26/4.14 X1340( 24.26/4.14 X1342), 24.26/4.14 X1338))) => 24.26/4.14 (![X1344]: 24.26/4.14 (in( 24.26/4.14 X1344, 24.26/4.14 X1336) => 24.26/4.14 (ap( 24.26/4.14 X1336, 24.26/4.14 X1338, 24.26/4.14 lam( 24.26/4.14 X1336, 24.26/4.14 X1338, 24.26/4.14 ^[V_42]: 24.26/4.14 X1340( 24.26/4.14 V_42)), 24.26/4.14 X1344) = 24.26/4.14 X1340( 24.26/4.14 X1344)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1346, 24.26/4.14 X1348, 24.26/4.14 X1350]: 24.26/4.14 (func( 24.26/4.14 X1346, 24.26/4.14 X1348, 24.26/4.14 X1350) => 24.26/4.14 (lam( 24.26/4.14 X1346, 24.26/4.14 X1348, 24.26/4.14 ^[V_43]: 24.26/4.14 ap( 24.26/4.14 X1346, 24.26/4.14 X1348, 24.26/4.14 X1350, 24.26/4.14 V_43)) = 24.26/4.14 X1350))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1352, 24.26/4.14 X1354, 24.26/4.14 X1356:( 24.26/4.14 ( 24.26/4.14 $i > $i))]: 24.26/4.14 (( 24.26/4.14 ![X1358]: 24.26/4.14 (in( 24.26/4.14 X1358, 24.26/4.14 X1352) => 24.26/4.14 in( 24.26/4.14 X1356( 24.26/4.14 X1358), 24.26/4.14 X1354))) => 24.26/4.14 (lam( 24.26/4.14 X1352, 24.26/4.14 X1354, 24.26/4.14 ^[V_44]: 24.26/4.14 X1356( 24.26/4.14 V_44)) = 24.26/4.14 lam( 24.26/4.14 X1352, 24.26/4.14 X1354, 24.26/4.14 ^[V_45]: 24.26/4.14 X1356( 24.26/4.14 V_45))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1360, 24.26/4.14 X1362, 24.26/4.14 X1364:( 24.26/4.14 ( 24.26/4.14 $i > $i))]: 24.26/4.14 (( 24.26/4.14 ![X1366]: 24.26/4.14 (in( 24.26/4.14 X1366, 24.26/4.14 X1360) => 24.26/4.14 in( 24.26/4.14 X1364( 24.26/4.14 X1366), 24.26/4.14 X1362))) => 24.26/4.14 (![X1368]: 24.26/4.14 (in( 24.26/4.14 X1368, 24.26/4.14 X1360) => 24.26/4.14 (ap( 24.26/4.14 X1360, 24.26/4.14 X1362, 24.26/4.14 lam( 24.26/4.14 X1360, 24.26/4.14 X1362, 24.26/4.14 ^[V_46]: 24.26/4.14 X1364( 24.26/4.14 V_46)), 24.26/4.14 X1368) = 24.26/4.14 X1364( 24.26/4.14 X1368)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1370, 24.26/4.14 X1372, 24.26/4.14 X1374]: 24.26/4.14 (in( 24.26/4.14 X1374, 24.26/4.14 funcSet( 24.26/4.14 X1370, 24.26/4.14 X1372)) => 24.26/4.14 (lam( 24.26/4.14 X1370, 24.26/4.14 X1372, 24.26/4.14 ^[V_47]: 24.26/4.14 ap( 24.26/4.14 X1370, 24.26/4.14 X1372, 24.26/4.14 X1374, 24.26/4.14 V_47)) = 24.26/4.14 X1374))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1376, 24.26/4.14 X1378:$o, 24.26/4.14 X1380]: 24.26/4.14 (in( 24.26/4.14 X1380, 24.26/4.14 X1376) => 24.26/4.14 (![X1382]: 24.26/4.14 (in( 24.26/4.14 X1382, 24.26/4.14 X1376) => 24.26/4.14 (( 24.26/4.14 ~X1378) => 24.26/4.14 in( 24.26/4.14 X1382, 24.26/4.14 dsetconstr( 24.26/4.14 X1376, 24.26/4.14 ^[V_48]: 24.26/4.14 (( 24.26/4.14 ( 24.26/4.14 V_48 = 24.26/4.14 X1382) & 24.26/4.14 ( 24.26/4.14 ~X1378)) | 24.26/4.14 (( 24.26/4.14 V_48 = 24.26/4.14 X1380) & 24.26/4.14 X1378))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1384, 24.26/4.14 X1386:$o, 24.26/4.14 X1388]: 24.26/4.14 (in( 24.26/4.14 X1388, 24.26/4.14 X1384) => 24.26/4.14 (![X1390]: 24.26/4.14 (in( 24.26/4.14 X1390, 24.26/4.14 X1384) => 24.26/4.14 (( 24.26/4.14 ~X1386) => 24.26/4.14 (dsetconstr( 24.26/4.14 X1384, 24.26/4.14 ^[V_49]: 24.26/4.14 (( 24.26/4.14 ( 24.26/4.14 V_49 = 24.26/4.14 X1390) & 24.26/4.14 ( 24.26/4.14 ~X1386)) | 24.26/4.14 (( 24.26/4.14 V_49 = 24.26/4.14 X1388) & 24.26/4.14 X1386))) = 24.26/4.14 setadjoin( 24.26/4.14 X1390, 24.26/4.14 emptyset))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1392, 24.26/4.14 X1394:$o, 24.26/4.14 X1396]: 24.26/4.14 (in( 24.26/4.14 X1396, 24.26/4.14 X1392) => 24.26/4.14 (![X1398]: 24.26/4.14 (in( 24.26/4.14 X1398, 24.26/4.14 X1392) => 24.26/4.14 (X1394 => 24.26/4.14 in( 24.26/4.14 X1396, 24.26/4.14 dsetconstr( 24.26/4.14 X1392, 24.26/4.14 ^[V_50]: 24.26/4.14 (( 24.26/4.14 ( 24.26/4.14 V_50 = 24.26/4.14 X1398) & 24.26/4.14 ( 24.26/4.14 ~X1394)) | 24.26/4.14 (( 24.26/4.14 V_50 = 24.26/4.14 X1396) & 24.26/4.14 X1394))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1400, 24.26/4.14 X1402:$o, 24.26/4.14 X1404]: 24.26/4.14 (in( 24.26/4.14 X1404, 24.26/4.14 X1400) => 24.26/4.14 (![X1406]: 24.26/4.14 (in( 24.26/4.14 X1406, 24.26/4.14 X1400) => 24.26/4.14 (X1402 => 24.26/4.14 (dsetconstr( 24.26/4.14 X1400, 24.26/4.14 ^[V_51]: 24.26/4.14 (( 24.26/4.14 ( 24.26/4.14 V_51 = 24.26/4.14 X1406) & 24.26/4.14 ( 24.26/4.14 ~X1402)) | 24.26/4.14 (( 24.26/4.14 V_51 = 24.26/4.14 X1404) & 24.26/4.14 X1402))) = 24.26/4.14 setadjoin( 24.26/4.14 X1404, 24.26/4.14 emptyset))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1408, 24.26/4.14 X1410:$o, 24.26/4.14 X1412]: 24.26/4.14 (in( 24.26/4.14 X1412, 24.26/4.14 X1408) => 24.26/4.14 (![X1414]: 24.26/4.14 (in( 24.26/4.14 X1414, 24.26/4.14 X1408) => 24.26/4.14 singleton( 24.26/4.14 dsetconstr( 24.26/4.14 X1408, 24.26/4.14 ^[V_52]: 24.26/4.14 (( 24.26/4.14 ( 24.26/4.14 V_52 = 24.26/4.14 X1414) & 24.26/4.14 ( 24.26/4.14 ~X1410)) | 24.26/4.14 (( 24.26/4.14 V_52 = 24.26/4.14 X1412) & 24.26/4.14 X1410)))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1416, 24.26/4.14 X1418:$o, 24.26/4.14 X1420]: 24.26/4.14 (in( 24.26/4.14 X1420, 24.26/4.14 X1416) => 24.26/4.14 (![X1422]: 24.26/4.14 (in( 24.26/4.14 X1422, 24.26/4.14 X1416) => 24.26/4.14 in( 24.26/4.14 if( 24.26/4.14 X1416, 24.26/4.14 X1418, 24.26/4.14 X1420, 24.26/4.14 X1422), 24.26/4.14 X1416))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1424]: 24.26/4.14 (singleton( 24.26/4.14 X1424) => 24.26/4.14 (![X1426]: 24.26/4.14 (in( 24.26/4.14 X1426, 24.26/4.14 X1424) => 24.26/4.14 (setunion( 24.26/4.14 X1424) = 24.26/4.14 X1426))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1428, 24.26/4.14 X1430:$o, 24.26/4.14 X1432]: 24.26/4.14 (in( 24.26/4.14 X1432, 24.26/4.14 X1428) => 24.26/4.14 (![X1434]: 24.26/4.14 (in( 24.26/4.14 X1434, 24.26/4.14 X1428) => 24.26/4.14 (X1430 => 24.26/4.14 (if( 24.26/4.14 X1428, 24.26/4.14 X1430, 24.26/4.14 X1432, 24.26/4.14 X1434) = 24.26/4.14 X1432)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1436, 24.26/4.14 X1438:$o, 24.26/4.14 X1440]: 24.26/4.14 (in( 24.26/4.14 X1440, 24.26/4.14 X1436) => 24.26/4.14 (![X1442]: 24.26/4.14 (in( 24.26/4.14 X1442, 24.26/4.14 X1436) => 24.26/4.14 (( 24.26/4.14 ~X1438) => 24.26/4.14 (if( 24.26/4.14 X1436, 24.26/4.14 X1438, 24.26/4.14 X1440, 24.26/4.14 X1442) = 24.26/4.14 X1442)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1444, 24.26/4.14 X1446:$o, 24.26/4.14 X1448]: 24.26/4.14 (in( 24.26/4.14 X1448, 24.26/4.14 X1444) => 24.26/4.14 (![X1450]: 24.26/4.14 (in( 24.26/4.14 X1450, 24.26/4.14 X1444) => 24.26/4.14 in( 24.26/4.14 if( 24.26/4.14 X1444, 24.26/4.14 X1446, 24.26/4.14 X1448, 24.26/4.14 X1450), 24.26/4.14 setadjoin( 24.26/4.14 X1448, 24.26/4.14 setadjoin( 24.26/4.14 X1450, 24.26/4.14 emptyset))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1452, 24.26/4.14 X1454]: 24.26/4.14 (in( 24.26/4.14 X1454, 24.26/4.14 powerset( 24.26/4.14 X1452)) => 24.26/4.14 (![X1456]: 24.26/4.14 (in( 24.26/4.14 X1456, 24.26/4.14 powerset( 24.26/4.14 X1452)) => 24.26/4.14 in( 24.26/4.14 binintersect( 24.26/4.14 X1454, 24.26/4.14 X1456), 24.26/4.14 powerset( 24.26/4.14 X1452)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1458, 24.26/4.14 X1460]: 24.26/4.14 (in( 24.26/4.14 X1460, 24.26/4.14 powerset( 24.26/4.14 X1458)) => 24.26/4.14 (![X1462]: 24.26/4.14 (in( 24.26/4.14 X1462, 24.26/4.14 powerset( 24.26/4.14 X1458)) => 24.26/4.14 in( 24.26/4.14 binunion( 24.26/4.14 X1460, 24.26/4.14 X1462), 24.26/4.14 powerset( 24.26/4.14 X1458)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1464, 24.26/4.14 X1466]: 24.26/4.14 (in( 24.26/4.14 X1466, 24.26/4.14 powerset( 24.26/4.14 X1464)) => 24.26/4.14 in( 24.26/4.14 powerset( 24.26/4.14 X1466), 24.26/4.14 powerset( 24.26/4.14 powerset( 24.26/4.14 X1464))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1468, 24.26/4.14 X1470]: 24.26/4.14 (in( 24.26/4.14 X1470, 24.26/4.14 powerset( 24.26/4.14 X1468)) => 24.26/4.14 (![X1472]: 24.26/4.14 (in( 24.26/4.14 X1472, 24.26/4.14 powerset( 24.26/4.14 X1468)) => 24.26/4.14 in( 24.26/4.14 setminus( 24.26/4.14 X1470, 24.26/4.14 X1472), 24.26/4.14 powerset( 24.26/4.14 X1468)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1474, 24.26/4.14 X1476]: 24.26/4.14 (in( 24.26/4.14 X1476, 24.26/4.14 powerset( 24.26/4.14 X1474)) => 24.26/4.14 in( 24.26/4.14 setminus( 24.26/4.14 X1474, 24.26/4.14 X1476), 24.26/4.14 powerset( 24.26/4.14 X1474)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1478, 24.26/4.14 X1480]: 24.26/4.14 (in( 24.26/4.14 X1480, 24.26/4.14 powerset( 24.26/4.14 X1478)) => 24.26/4.14 (![X1482]: 24.26/4.14 (in( 24.26/4.14 X1482, 24.26/4.14 powerset( 24.26/4.14 X1478)) => 24.26/4.14 (( 24.26/4.14 ![X1484]: 24.26/4.14 (in( 24.26/4.14 X1484, 24.26/4.14 X1478) => 24.26/4.14 (in( 24.26/4.14 X1484, 24.26/4.14 X1480) => 24.26/4.14 in( 24.26/4.14 X1484, 24.26/4.14 X1482)))) => 24.26/4.14 (( 24.26/4.14 ![X1486]: 24.26/4.14 (in( 24.26/4.14 X1486, 24.26/4.14 X1478) => 24.26/4.14 (in( 24.26/4.14 X1486, 24.26/4.14 X1482) => 24.26/4.14 in( 24.26/4.14 X1486, 24.26/4.14 X1480)))) => 24.26/4.14 (X1480 = 24.26/4.14 X1482))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1488, 24.26/4.14 X1490]: 24.26/4.14 (in( 24.26/4.14 X1490, 24.26/4.14 powerset( 24.26/4.14 X1488)) => 24.26/4.14 (![X1492]: 24.26/4.14 (in( 24.26/4.14 X1492, 24.26/4.14 powerset( 24.26/4.14 X1488)) => 24.26/4.14 (( 24.26/4.14 ![X1494]: 24.26/4.14 (in( 24.26/4.14 X1494, 24.26/4.14 X1488) => 24.26/4.14 (in( 24.26/4.14 X1494, 24.26/4.14 X1490) => 24.26/4.14 in( 24.26/4.14 X1494, 24.26/4.14 X1492)))) => 24.26/4.14 subset( 24.26/4.14 X1490, 24.26/4.14 X1492)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1496, 24.26/4.14 X1498]: 24.26/4.14 (in( 24.26/4.14 X1498, 24.26/4.14 powerset( 24.26/4.14 X1496)) => 24.26/4.14 (![X1500]: 24.26/4.14 (in( 24.26/4.14 X1500, 24.26/4.14 powerset( 24.26/4.14 X1496)) => 24.26/4.14 (( 24.26/4.14 ![X1502]: 24.26/4.14 (in( 24.26/4.14 X1502, 24.26/4.14 X1496) => 24.26/4.14 (in( 24.26/4.14 X1502, 24.26/4.14 X1498) => 24.26/4.14 in( 24.26/4.14 X1502, 24.26/4.14 X1500)))) => 24.26/4.14 in( 24.26/4.14 X1498, 24.26/4.14 powerset( 24.26/4.14 X1500))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1504, 24.26/4.14 X1506]: 24.26/4.14 (in( 24.26/4.14 X1506, 24.26/4.14 powerset( 24.26/4.14 X1504)) => 24.26/4.14 (![X1508]: 24.26/4.14 (in( 24.26/4.14 X1508, 24.26/4.14 powerset( 24.26/4.14 X1504)) => 24.26/4.14 (![X1510]: 24.26/4.14 (in( 24.26/4.14 X1510, 24.26/4.14 X1504) => 24.26/4.14 (in( 24.26/4.14 X1506, 24.26/4.14 powerset( 24.26/4.14 X1508)) => 24.26/4.14 (in( 24.26/4.14 X1510, 24.26/4.14 X1506) => 24.26/4.14 in( 24.26/4.14 X1510, 24.26/4.14 X1508))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1512, 24.26/4.14 X1514]: 24.26/4.14 (in( 24.26/4.14 X1514, 24.26/4.14 powerset( 24.26/4.14 X1512)) => 24.26/4.14 (![X1516]: 24.26/4.14 (in( 24.26/4.14 X1516, 24.26/4.14 X1512) => 24.26/4.14 (in( 24.26/4.14 X1516, 24.26/4.14 X1514) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X1516, 24.26/4.14 setminus( 24.26/4.14 X1512, 24.26/4.14 X1514)))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1518, 24.26/4.14 X1520]: 24.26/4.14 (in( 24.26/4.14 X1520, 24.26/4.14 powerset( 24.26/4.14 X1518)) => 24.26/4.14 (![X1522]: 24.26/4.14 (in( 24.26/4.14 X1522, 24.26/4.14 X1518) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X1522, 24.26/4.14 setminus( 24.26/4.14 X1518, 24.26/4.14 X1520))) => 24.26/4.14 in( 24.26/4.14 X1522, 24.26/4.14 X1520)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1524, 24.26/4.14 X1526]: 24.26/4.14 (in( 24.26/4.14 X1526, 24.26/4.14 powerset( 24.26/4.14 X1524)) => 24.26/4.14 (![X1528]: 24.26/4.14 (in( 24.26/4.14 X1528, 24.26/4.14 powerset( 24.26/4.14 X1524)) => 24.26/4.14 (![X1530]: 24.26/4.14 (in( 24.26/4.14 X1530, 24.26/4.14 X1524) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X1530, 24.26/4.14 X1526)) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X1530, 24.26/4.14 binintersect( 24.26/4.14 X1526, 24.26/4.14 X1528)))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1532, 24.26/4.14 X1534]: 24.26/4.14 (in( 24.26/4.14 X1534, 24.26/4.14 powerset( 24.26/4.14 X1532)) => 24.26/4.14 (![X1536]: 24.26/4.14 (in( 24.26/4.14 X1536, 24.26/4.14 powerset( 24.26/4.14 X1532)) => 24.26/4.14 (![X1538]: 24.26/4.14 (in( 24.26/4.14 X1538, 24.26/4.14 X1532) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X1538, 24.26/4.14 X1536)) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X1538, 24.26/4.14 binintersect( 24.26/4.14 X1534, 24.26/4.14 X1536)))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1540, 24.26/4.14 X1542]: 24.26/4.14 (in( 24.26/4.14 X1542, 24.26/4.14 powerset( 24.26/4.14 X1540)) => 24.26/4.14 (![X1544]: 24.26/4.14 (in( 24.26/4.14 X1544, 24.26/4.14 powerset( 24.26/4.14 X1540)) => 24.26/4.14 (![X1546]: 24.26/4.14 (in( 24.26/4.14 X1546, 24.26/4.14 X1540) => 24.26/4.14 (subset( 24.26/4.14 X1542, 24.26/4.14 setminus( 24.26/4.14 X1540, 24.26/4.14 X1544)) => 24.26/4.14 (in( 24.26/4.14 X1546, 24.26/4.14 X1544) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X1546, 24.26/4.14 X1542)))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1548, 24.26/4.14 X1550]: 24.26/4.14 (in( 24.26/4.14 X1550, 24.26/4.14 powerset( 24.26/4.14 X1548)) => 24.26/4.14 (![X1552]: 24.26/4.14 (in( 24.26/4.14 X1552, 24.26/4.14 powerset( 24.26/4.14 X1548)) => 24.26/4.14 (![X1554]: 24.26/4.14 (in( 24.26/4.14 X1554, 24.26/4.14 X1548) => 24.26/4.14 (subset( 24.26/4.14 X1550, 24.26/4.14 X1552) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X1554, 24.26/4.14 X1552)) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X1554, 24.26/4.14 X1550)))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1556, 24.26/4.14 X1558]: 24.26/4.14 (in( 24.26/4.14 X1558, 24.26/4.14 powerset( 24.26/4.14 X1556)) => 24.26/4.14 (![X1560]: 24.26/4.14 (in( 24.26/4.14 X1560, 24.26/4.14 powerset( 24.26/4.14 X1556)) => 24.26/4.14 (subset( 24.26/4.14 X1558, 24.26/4.14 X1560) => 24.26/4.14 subset( 24.26/4.14 setminus( 24.26/4.14 X1556, 24.26/4.14 X1560), 24.26/4.14 setminus( 24.26/4.14 X1556, 24.26/4.14 X1558))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1562, 24.26/4.14 X1564]: 24.26/4.14 (in( 24.26/4.14 X1564, 24.26/4.14 powerset( 24.26/4.14 X1562)) => 24.26/4.14 (![X1566]: 24.26/4.14 (in( 24.26/4.14 X1566, 24.26/4.14 powerset( 24.26/4.14 X1562)) => 24.26/4.14 (subset( 24.26/4.14 setminus( 24.26/4.14 X1562, 24.26/4.14 X1566), 24.26/4.14 setminus( 24.26/4.14 X1562, 24.26/4.14 X1564)) => 24.26/4.14 subset( 24.26/4.14 X1564, 24.26/4.14 X1566)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1568, 24.26/4.14 X1570]: 24.26/4.14 (in( 24.26/4.14 X1570, 24.26/4.14 powerset( 24.26/4.14 X1568)) => 24.26/4.14 (![X1572]: 24.26/4.14 (in( 24.26/4.14 X1572, 24.26/4.14 X1568) => 24.26/4.14 (in( 24.26/4.14 X1572, 24.26/4.14 X1570) => 24.26/4.14 in( 24.26/4.14 X1572, 24.26/4.14 setminus( 24.26/4.14 X1568, 24.26/4.14 setminus( 24.26/4.14 X1568, 24.26/4.14 X1570)))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1574, 24.26/4.14 X1576]: 24.26/4.14 (in( 24.26/4.14 X1576, 24.26/4.14 powerset( 24.26/4.14 X1574)) => 24.26/4.14 (![X1578]: 24.26/4.14 (in( 24.26/4.14 X1578, 24.26/4.14 X1574) => 24.26/4.14 (in( 24.26/4.14 X1578, 24.26/4.14 setminus( 24.26/4.14 X1574, 24.26/4.14 setminus( 24.26/4.14 X1574, 24.26/4.14 X1576))) => 24.26/4.14 in( 24.26/4.14 X1578, 24.26/4.14 X1576)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1580, 24.26/4.14 X1582]: 24.26/4.14 (in( 24.26/4.14 X1582, 24.26/4.14 powerset( 24.26/4.14 X1580)) => 24.26/4.14 subset( 24.26/4.14 X1582, 24.26/4.14 setminus( 24.26/4.14 X1580, 24.26/4.14 setminus( 24.26/4.14 X1580, 24.26/4.14 X1582))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1584, 24.26/4.14 X1586]: 24.26/4.14 (in( 24.26/4.14 X1586, 24.26/4.14 powerset( 24.26/4.14 X1584)) => 24.26/4.14 subset( 24.26/4.14 setminus( 24.26/4.14 X1584, 24.26/4.14 setminus( 24.26/4.14 X1584, 24.26/4.14 X1586)), 24.26/4.14 X1586))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1588, 24.26/4.14 X1590]: 24.26/4.14 (in( 24.26/4.14 X1590, 24.26/4.14 powerset( 24.26/4.14 X1588)) => 24.26/4.14 (X1590 = 24.26/4.14 setminus( 24.26/4.14 X1588, 24.26/4.14 setminus( 24.26/4.14 X1588, 24.26/4.14 X1590))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1592, 24.26/4.14 X1594]: 24.26/4.14 (in( 24.26/4.14 X1594, 24.26/4.14 powerset( 24.26/4.14 X1592)) => 24.26/4.14 (![X1596]: 24.26/4.14 (in( 24.26/4.14 X1596, 24.26/4.14 powerset( 24.26/4.14 X1592)) => 24.26/4.14 (![X1598]: 24.26/4.14 (in( 24.26/4.14 X1598, 24.26/4.14 X1592) => 24.26/4.14 (in( 24.26/4.14 X1598, 24.26/4.14 setminus( 24.26/4.14 X1592, 24.26/4.14 X1594)) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X1598, 24.26/4.14 binintersect( 24.26/4.14 X1594, 24.26/4.14 X1596)))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1600, 24.26/4.14 X1602]: 24.26/4.14 (in( 24.26/4.14 X1602, 24.26/4.14 powerset( 24.26/4.14 X1600)) => 24.26/4.14 (![X1604]: 24.26/4.14 (in( 24.26/4.14 X1604, 24.26/4.14 powerset( 24.26/4.14 X1600)) => 24.26/4.14 (![X1606]: 24.26/4.14 (in( 24.26/4.14 X1606, 24.26/4.14 X1600) => 24.26/4.14 (in( 24.26/4.14 X1606, 24.26/4.14 setminus( 24.26/4.14 X1600, 24.26/4.14 X1602)) => 24.26/4.14 in( 24.26/4.14 X1606, 24.26/4.14 setminus( 24.26/4.14 X1600, 24.26/4.14 binintersect( 24.26/4.14 X1602, 24.26/4.14 X1604)))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1608, 24.26/4.14 X1610]: 24.26/4.14 (in( 24.26/4.14 X1610, 24.26/4.14 powerset( 24.26/4.14 X1608)) => 24.26/4.14 (![X1612]: 24.26/4.14 (in( 24.26/4.14 X1612, 24.26/4.14 powerset( 24.26/4.14 X1608)) => 24.26/4.14 subset( 24.26/4.14 setminus( 24.26/4.14 X1608, 24.26/4.14 X1610), 24.26/4.14 setminus( 24.26/4.14 X1608, 24.26/4.14 binintersect( 24.26/4.14 X1610, 24.26/4.14 X1612))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1614, 24.26/4.14 X1616]: 24.26/4.14 (in( 24.26/4.14 X1616, 24.26/4.14 powerset( 24.26/4.14 X1614)) => 24.26/4.14 (![X1618]: 24.26/4.14 (in( 24.26/4.14 X1618, 24.26/4.14 powerset( 24.26/4.14 X1614)) => 24.26/4.14 in( 24.26/4.14 setminus( 24.26/4.14 X1614, 24.26/4.14 X1616), 24.26/4.14 powerset( 24.26/4.14 setminus( 24.26/4.14 X1614, 24.26/4.14 binintersect( 24.26/4.14 X1616, 24.26/4.14 X1618)))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1620, 24.26/4.14 X1622]: 24.26/4.14 (in( 24.26/4.14 X1622, 24.26/4.14 powerset( 24.26/4.14 X1620)) => 24.26/4.14 (![X1624]: 24.26/4.14 (in( 24.26/4.14 X1624, 24.26/4.14 powerset( 24.26/4.14 X1620)) => 24.26/4.14 (subset( 24.26/4.14 X1622, 24.26/4.14 setminus( 24.26/4.14 X1620, 24.26/4.14 X1624)) => 24.26/4.14 (![X1626]: 24.26/4.14 (in( 24.26/4.14 X1626, 24.26/4.14 X1620) => 24.26/4.14 (in( 24.26/4.14 X1626, 24.26/4.14 X1624) => 24.26/4.14 in( 24.26/4.14 X1626, 24.26/4.14 setminus( 24.26/4.14 X1620, 24.26/4.14 X1622)))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1628, 24.26/4.14 X1630]: 24.26/4.14 (in( 24.26/4.14 X1630, 24.26/4.14 powerset( 24.26/4.14 X1628)) => 24.26/4.14 (![X1632]: 24.26/4.14 (in( 24.26/4.14 X1632, 24.26/4.14 powerset( 24.26/4.14 X1628)) => 24.26/4.14 (subset( 24.26/4.14 X1630, 24.26/4.14 setminus( 24.26/4.14 X1628, 24.26/4.14 X1632)) => 24.26/4.14 subset( 24.26/4.14 X1632, 24.26/4.14 setminus( 24.26/4.14 X1628, 24.26/4.14 X1630))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1634, 24.26/4.14 X1636]: 24.26/4.14 (in( 24.26/4.14 X1636, 24.26/4.14 powerset( 24.26/4.14 X1634)) => 24.26/4.14 (![X1638]: 24.26/4.14 (in( 24.26/4.14 X1638, 24.26/4.14 powerset( 24.26/4.14 X1634)) => 24.26/4.14 (![X1640]: 24.26/4.14 (in( 24.26/4.14 X1640, 24.26/4.14 X1634) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X1640, 24.26/4.14 binunion( 24.26/4.14 X1636, 24.26/4.14 X1638))) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X1640, 24.26/4.14 X1636))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1642, 24.26/4.14 X1644]: 24.26/4.14 (in( 24.26/4.14 X1644, 24.26/4.14 powerset( 24.26/4.14 X1642)) => 24.26/4.14 (![X1646]: 24.26/4.14 (in( 24.26/4.14 X1646, 24.26/4.14 powerset( 24.26/4.14 X1642)) => 24.26/4.14 (![X1648]: 24.26/4.14 (in( 24.26/4.14 X1648, 24.26/4.14 X1642) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X1648, 24.26/4.14 binunion( 24.26/4.14 X1644, 24.26/4.14 X1646))) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X1648, 24.26/4.14 X1646))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1650, 24.26/4.14 X1652]: 24.26/4.14 (in( 24.26/4.14 X1652, 24.26/4.14 powerset( 24.26/4.14 X1650)) => 24.26/4.14 (![X1654]: 24.26/4.14 (in( 24.26/4.14 X1654, 24.26/4.14 powerset( 24.26/4.14 X1650)) => 24.26/4.14 (![X1656]: 24.26/4.14 (in( 24.26/4.14 X1656, 24.26/4.14 powerset( 24.26/4.14 X1650)) => 24.26/4.14 (![X1658]: 24.26/4.14 (in( 24.26/4.14 X1658, 24.26/4.14 X1650) => 24.26/4.14 (in( 24.26/4.14 X1658, 24.26/4.14 binintersect( 24.26/4.14 X1652, 24.26/4.14 X1654)) => 24.26/4.14 in( 24.26/4.14 X1658, 24.26/4.14 binunion( 24.26/4.14 X1652, 24.26/4.14 X1656))))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1660, 24.26/4.14 X1662]: 24.26/4.14 (in( 24.26/4.14 X1662, 24.26/4.14 powerset( 24.26/4.14 X1660)) => 24.26/4.14 (![X1664]: 24.26/4.14 (in( 24.26/4.14 X1664, 24.26/4.14 powerset( 24.26/4.14 X1660)) => 24.26/4.14 (![X1666]: 24.26/4.14 (in( 24.26/4.14 X1666, 24.26/4.14 powerset( 24.26/4.14 X1660)) => 24.26/4.14 (![X1668]: 24.26/4.14 (in( 24.26/4.14 X1668, 24.26/4.14 X1660) => 24.26/4.14 (in( 24.26/4.14 X1668, 24.26/4.14 binintersect( 24.26/4.14 X1662, 24.26/4.14 X1664)) => 24.26/4.14 in( 24.26/4.14 X1668, 24.26/4.14 binunion( 24.26/4.14 X1664, 24.26/4.14 X1666))))))))))) => 24.26/4.14 ( 24.26/4.14 ![X1670, 24.26/4.14 X1672]: 24.26/4.14 (in( 24.26/4.14 X1672, 24.26/4.14 powerset( 24.26/4.14 X1670)) => 24.26/4.14 (![X1674]: 24.26/4.14 (in( 24.26/4.14 X1674, 24.26/4.14 powerset( 24.26/4.14 X1670)) => 24.26/4.14 (![X1676]: 24.26/4.14 (in( 24.26/4.14 X1676, 24.26/4.14 powerset( 24.26/4.14 X1670)) => 24.26/4.14 (![X1678]: 24.26/4.14 (in( 24.26/4.14 X1678, 24.26/4.14 X1670) => 24.26/4.14 (in( 24.26/4.14 X1678, 24.26/4.14 binintersect( 24.26/4.14 X1672, 24.26/4.14 X1674)) => 24.26/4.14 in( 24.26/4.14 X1678, 24.26/4.14 binintersect( 24.26/4.14 binunion( 24.26/4.14 X1672, 24.26/4.14 X1676), 24.26/4.14 binunion( 24.26/4.14 X1674, 24.26/4.14 X1676))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 24.26/4.14 tff(zf_stmt_14, negated_conjecture, 24.26/4.14 (~ 24.26/4.14 ((![X4,X6]: ((![X8]: (in(X8,X4) <=> in(X8,X6))) => (X4 = X6))) => 24.26/4.14 ((![X10]: (~in(X10,emptyset))) => 24.26/4.14 ((![X12,X14,X16]: 24.26/4.14 (in(X16,setadjoin(X12,X14)) <=> zip_tseitin_0(X16,X14,X12))) => 24.26/4.14 ((![X18,X20]: 24.26/4.14 (in(X20,powerset(X18)) <=> (![X22]: zip_tseitin_1(X22,X20,X18)))) => 24.26/4.14 ((![X24,X26]: 24.26/4.14 (in(X26,setunion(X24)) <=> (?[X28]: zip_tseitin_2(X28,X26,X24)))) => 24.26/4.14 (in(emptyset,omega) => 24.26/4.14 ((![X30]: (in(X30,omega) => in(setadjoin(X30,X30),omega))) => 24.26/4.14 ((![X32]: 24.26/4.14 ((in(emptyset,X32) & 24.26/4.14 (![X34]: 24.26/4.14 ((in(X34,omega) & in(X34,X32)) => 24.26/4.14 in(setadjoin(X34,X34),X32)))) => 24.26/4.14 (![X36]: (in(X36,omega) => in(X36,X32))))) => 24.26/4.14 ((![X38:(($i * $i) > $o),X40]: 24.26/4.14 ((![X42]: 24.26/4.14 (in(X42,X40) => 24.26/4.14 (?[X44]: 24.26/4.14 ((![X46]: (X38(X42,X46) => (X44 = X46))) & 24.26/4.14 X38(X42,X44))))) => 24.26/4.14 (?[X48]: 24.26/4.14 (![X50]: 24.26/4.14 (in(X50,X48) <=> 24.26/4.14 (?[X52]: zip_tseitin_3(X52,X50,X40,X38))))))) => 24.26/4.14 ((![X54]: 24.26/4.14 ((?[X56]: in(X56,X54)) => 24.26/4.14 (?[X58]: 24.26/4.14 ((~(?[X60]: (in(X60,X54) & in(X60,X58)))) & in(X58,X54))))) => 24.26/4.14 ((![X62]: 24.26/4.14 (?[X64]: 24.26/4.14 ((![X66]: 24.26/4.14 (((![X68]: (in(X68,X66) => in(X68,X62))) & 24.26/4.14 (?[X70]: in(X70,X66))) => 24.26/4.14 (?[X72,X74]: 24.26/4.14 ((![X76]: 24.26/4.14 (in(X76,X64) => 24.26/4.14 ((![X78]: (in(X78,X76) => in(X78,X72))) | 24.26/4.14 in(X74,X76)))) & 24.26/4.14 (~(?[X80]: (in(X80,X66) & in(X80,X72)))) & 24.26/4.14 in(X74,X66) & in(X72,X64))))) & 24.26/4.14 (![X82,X84]: 24.26/4.14 ((in(X82,X64) & in(X84,X64)) => 24.26/4.14 ((![X86]: (in(X86,X82) => in(X86,X84))) | 24.26/4.14 (![X88]: (in(X88,X84) => in(X88,X82)))))) & 24.26/4.14 (![X90,X92]: 24.26/4.14 ((in(X90,X62) & in(X92,X62)) => 24.26/4.14 ((![X94]: 24.26/4.14 (in(X94,X64) => (in(X90,X94) <=> in(X92,X94)))) => 24.26/4.14 (X90 = X92)))) & 24.26/4.14 (![X96]: 24.26/4.14 (in(X96,X64) => 24.26/4.14 (![X98]: (in(X98,X96) => in(X98,X62)))))))) => 24.26/4.14 ((![X100:(($i > $o))]: 24.26/4.14 ((?[X102]: 24.26/4.14 ((![X104]: (X100(X104) => (X102 = X104))) & X100(X102))) => 24.26/4.14 X100(descr(^[V_1]: X100(V_1))))) => 24.26/4.14 ((![X106,X108:(($i > $o)),X110]: 24.26/4.14 (in(X110,X106) => 24.26/4.14 (X108(X110) => 24.26/4.14 in(X110,dsetconstr(X106,^[V_2]: X108(V_2)))))) => 24.26/4.14 ((![X112,X114:(($i > $o)),X116]: 24.26/4.14 (in(X116,dsetconstr(X112,^[V_3]: X114(V_3))) => 24.26/4.14 in(X116,X112))) => 24.26/4.14 ((![X118,X120:(($i > $o)),X122]: 24.26/4.14 (in(X122,dsetconstr(X118,^[V_4]: X120(V_4))) => 24.26/4.14 X120(X122))) => 24.26/4.14 ((![X124:(($i > $o))]: 24.26/4.14 ((?[X126]: 24.26/4.14 ((![X128]: (X124(X128) => (X126 = X128))) & 24.26/4.14 X124(X126))) => 24.26/4.14 (?[X130]: 24.26/4.14 ((![X132]: (X124(X132) => (X130 = X132))) & 24.26/4.14 X124(X130))))) => 24.26/4.14 ((![X134:$o,X136]: (in(X136,prop2set(X134)) => X134)) => 24.26/4.14 ((![X138]: (in(X138,emptyset) => (![X140:$o]: X140))) => 24.26/4.14 ((![X142]: (~in(X142,emptyset))) => 24.26/4.14 ((![X144]: (~in(X144,emptyset))) => 24.26/4.14 ((![X146:(($i > $o))]: 24.26/4.14 ((?[X148]: 24.26/4.14 ((![X150]: (X146(X150) => (X148 = X150))) & 24.26/4.14 X146(X148))) => 24.26/4.14 (?[X152]: X146(X152)))) => 24.26/4.14 ((![X154,X156]: 24.26/4.14 ((![X158]: (in(X158,X154) => in(X158,X156))) => 24.26/4.14 ((![X160]: (in(X160,X156) => in(X160,X154))) => 24.26/4.14 (X154 = X156)))) => 24.26/4.14 ((![X162]: 24.26/4.14 ((![X164]: (~in(X164,X162))) => 24.26/4.14 (X162 = emptyset))) => 24.26/4.14 ((![X166]: 24.26/4.14 ((![X168]: (~in(X168,X166))) => 24.26/4.14 (X166 = emptyset))) => 24.26/4.14 ((![X170,X172:(($i > $o)),X174]: 24.26/4.14 (in(X174,X170) => 24.26/4.14 (in(X174,dsetconstr(X170,^[V_5]: X172(V_5))) <=> 24.26/4.14 X172(X174)))) => 24.26/4.14 ((![X176]: 24.26/4.14 ((X176 != emptyset) => 24.26/4.14 (?[X178]: in(X178,X176)))) => 24.26/4.14 ((![X180,X182:(($i > $o)),X184]: 24.26/4.14 (in(X184,X180) => 24.26/4.14 (X182(X184) => 24.26/4.14 (dsetconstr(X180,^[V_6]: X182(V_6)) != 24.26/4.14 emptyset)))) => 24.26/4.14 ((![X186]: 24.26/4.14 ((?[X188]: in(X188,X186)) => 24.26/4.14 (X186 != emptyset))) => 24.26/4.14 ((![X190,X192]: in(X190,setadjoin(X190,X192))) => 24.26/4.14 (in(emptyset,setadjoin(emptyset,emptyset)) => 24.26/4.14 ((![X194,X196,X198]: 24.26/4.14 (in(X198,X196) => 24.26/4.14 in(X198,setadjoin(X194,X196)))) => 24.26/4.14 ((![X200,X202,X204]: 24.26/4.14 (in(X204,setadjoin(X200,X202)) => 24.26/4.14 (![X206:$o]: 24.26/4.14 (((X204 = X200) => X206) => 24.26/4.14 ((in(X204,X202) => X206) => X206))))) => 24.26/4.14 ((![X208,X210,X212]: 24.26/4.14 (in(X212,setadjoin(X208,X210)) => 24.26/4.14 ((X212 = X208) | in(X212,X210)))) => 24.26/4.14 ((![X214]: 24.26/4.14 (dsetconstr(X214,^[V_7]: $true) = 24.26/4.14 X214)) => 24.26/4.14 ((![X216,X218]: 24.26/4.14 ((![X220]: 24.26/4.14 (in(X220,X218) => in(X220,X216))) => 24.26/4.14 in(X218,powerset(X216)))) => 24.26/4.14 ((![X222]: in(emptyset,powerset(X222))) => 24.26/4.14 ((![X224]: 24.26/4.14 in(emptyset,powerset(X224))) => 24.26/4.14 ((![X226,X228,X230]: 24.26/4.14 (in(X228,powerset(X226)) => 24.26/4.14 (in(X230,X228) => in(X230,X226)))) => 24.26/4.14 ((![X232,X234,X236]: 24.26/4.14 (in(X234,X236) => 24.26/4.14 (in(X236,X232) => 24.26/4.14 in(X234,setunion(X232))))) => 24.26/4.14 ((![X238,X240]: 24.26/4.14 (in(X240,setunion(X238)) => 24.26/4.14 (![X242:$o]: 24.26/4.14 ((![X244]: 24.26/4.14 (in(X240,X244) => 24.26/4.14 (in(X244,X238) => 24.26/4.14 X242))) => 24.26/4.14 X242)))) => 24.26/4.14 ((![X246,X248]: 24.26/4.14 (in(X248,X246) => 24.26/4.14 in(X248, 24.26/4.14 powerset(setunion(X246))))) => 24.26/4.14 ((![X250:(($i > $o))]: 24.26/4.14 ((?[X252]: 24.26/4.14 ((![X254]: 24.26/4.14 (X250(X254) => 24.26/4.14 (X252 = X254))) & 24.26/4.14 X250(X252))) => 24.26/4.14 (?[X256]: 24.26/4.14 (![X258]: 24.26/4.14 (X250(X258) <=> 24.26/4.14 (X258 = X256)))))) => 24.26/4.14 ((![X260]: 24.26/4.14 ((X260 != emptyset) => 24.26/4.14 (?[X262]: in(X262,X260)))) => 24.26/4.14 ((![X264,X266]: 24.26/4.14 (in(X264, 24.26/4.14 setadjoin(X266, 24.26/4.14 emptyset)) => 24.26/4.14 (X264 = X266))) => 24.26/4.14 ((![X268,X270]: 24.26/4.14 ((X268 != X270) => 24.26/4.14 (~ 24.26/4.14 in(X270, 24.26/4.14 setadjoin(X268, 24.26/4.14 emptyset))))) => 24.26/4.14 ((![X272,X274]: 24.26/4.14 ((X272 = X274) => 24.26/4.14 in(X272, 24.26/4.14 setadjoin(X274, 24.26/4.14 emptyset)))) => 24.26/4.14 ((![X276,X278]: 24.26/4.14 (in(X276, 24.26/4.14 setadjoin(X278, 24.26/4.14 emptyset)) => 24.26/4.14 in(X278, 24.26/4.14 setadjoin(X276, 24.26/4.14 emptyset)))) => 24.26/4.14 ((![X280,X282,X284]: 24.26/4.14 (in(X284, 24.26/4.14 setadjoin( 24.26/4.14 X280, 24.26/4.14 setadjoin( 24.26/4.14 X282,emptyset))) => 24.26/4.14 ((X284 = X280) | 24.26/4.14 (X284 = X282)))) => 24.26/4.14 ((![X286,X288]: 24.26/4.14 in(X286, 24.26/4.14 setadjoin( 24.26/4.14 X286, 24.26/4.14 setadjoin( 24.26/4.14 X288,emptyset)))) => 24.26/4.14 ((![X290,X292]: 24.26/4.14 in(X292, 24.26/4.14 setadjoin( 24.26/4.14 X290, 24.26/4.14 setadjoin( 24.26/4.14 X292,emptyset)))) => 24.26/4.14 ((![X294, 24.26/4.14 X296:(($i > $o))]: 24.26/4.14 ((?[X298]: 24.26/4.14 (X296(X298) & 24.26/4.14 in(X298,X294))) => 24.26/4.14 (dsetconstr( 24.26/4.14 X294, 24.26/4.14 ^[V_8]: X296(V_8)) != 24.26/4.14 emptyset))) => 24.26/4.14 ((![X300:(($i > $o)), 24.26/4.14 X302]: 24.26/4.14 (in(X302,emptyset) => 24.26/4.14 X300(X302))) => 24.26/4.14 ((![X304, 24.26/4.14 X306:(($i > $o))]: 24.26/4.14 ((~ 24.26/4.14 (![X308]: 24.26/4.14 (in( 24.26/4.14 X308,X304) => 24.26/4.14 X306(X308)))) => 24.26/4.14 (?[X310]: 24.26/4.14 ((~X306(X310)) & 24.26/4.14 in(X310,X304))))) => 24.26/4.14 ((![X312, 24.26/4.14 X314:(($i > $o))]: 24.26/4.14 ((![X316]: 24.26/4.14 (in( 24.26/4.14 X316,X312) => 24.26/4.14 (~ 24.26/4.14 X314( 24.26/4.14 X316)))) => 24.26/4.14 (~ 24.26/4.14 (?[X318]: 24.26/4.14 (X314( 24.26/4.14 X318) & 24.26/4.14 in( 24.26/4.14 X318,X312)))))) => 24.26/4.14 ((![X320, 24.26/4.14 X322:(($i > $o))]: 24.26/4.14 ((~ 24.26/4.14 (?[X324]: 24.26/4.14 ( 24.26/4.14 X322( 24.26/4.14 X324) & 24.26/4.14 in( 24.26/4.14 X324,X320)))) => 24.26/4.14 (![X326]: 24.26/4.14 (in( 24.26/4.14 X326,X320) => 24.26/4.14 (~ 24.26/4.14 X322( 24.26/4.14 X326)))))) => 24.26/4.14 ((![X328, 24.26/4.14 X330:( 24.26/4.14 ($i > $o))]: 24.26/4.14 ((?[X332]: 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 X330( 24.26/4.14 X332)) & 24.26/4.14 in( 24.26/4.14 X332,X328))) => 24.26/4.14 (~ 24.26/4.14 (![X334]: 24.26/4.14 (in( 24.26/4.14 X334,X328) => 24.26/4.14 X330( 24.26/4.14 X334)))))) => 24.26/4.14 ((![X336:$o]: 24.26/4.14 (X336 => 24.26/4.14 in(emptyset, 24.26/4.14 prop2set( 24.26/4.14 X336)))) => 24.26/4.14 ((![X338:$o]: 24.26/4.14 (X338 => 24.26/4.14 set2prop( 24.26/4.14 prop2set( 24.26/4.14 X338)))) => 24.26/4.14 ((![X340, 24.26/4.14 X342:( 24.26/4.14 ($i > $o))]: 24.26/4.14 ((~ 24.26/4.14 ( 24.26/4.14 ?[X344]: 24.26/4.14 (X342( 24.26/4.14 X344) & 24.26/4.14 in( 24.26/4.14 X344,X340)))) => 24.26/4.14 (![X346]: 24.26/4.14 (in( 24.26/4.14 X346,X340) => 24.26/4.14 (~ 24.26/4.14 X342( 24.26/4.14 X346)))))) => 24.26/4.14 ((![X348, 24.26/4.14 X350:( 24.26/4.14 ($i > $o))]: 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 ( 24.26/4.14 ![X352]: 24.26/4.14 (in( 24.26/4.14 X352,X348) => 24.26/4.14 X350( 24.26/4.14 X352)))) => 24.26/4.14 ( 24.26/4.14 ?[X354]: 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 X350( 24.26/4.14 X354)) & 24.26/4.14 in( 24.26/4.14 X354,X348))))) => 24.26/4.14 ((![X356:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ?[X358]: 24.26/4.14 (( 24.26/4.14 ![X360]: 24.26/4.14 (X356( 24.26/4.14 X360) => 24.26/4.14 (X358 = 24.26/4.14 X360))) & 24.26/4.14 X356( 24.26/4.14 X358))) => 24.26/4.14 ( 24.26/4.14 ?[X362]: 24.26/4.14 (( 24.26/4.14 ![X364]: 24.26/4.14 (X356( 24.26/4.14 X364) => 24.26/4.14 (X362 = 24.26/4.14 X364))) & 24.26/4.14 X356( 24.26/4.14 X362))))) => 24.26/4.14 ((![X366:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (( 24.26/4.14 ?[X368]: 24.26/4.14 X366( 24.26/4.14 X368)) => 24.26/4.14 (( 24.26/4.14 ![X370, 24.26/4.14 X372]: 24.26/4.14 (X366( 24.26/4.14 X370) => 24.26/4.14 (X366( 24.26/4.14 X372) => 24.26/4.14 (X370 = 24.26/4.14 X372)))) => 24.26/4.14 (?[X374]: 24.26/4.14 (( 24.26/4.14 ![X376]: 24.26/4.14 (X366( 24.26/4.14 X376) => 24.26/4.14 (X374 = 24.26/4.14 X376))) & 24.26/4.14 X366( 24.26/4.14 X374)))))) => 24.26/4.14 ((![X378:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (( 24.26/4.14 ?[X380]: 24.26/4.14 (![X382]: 24.26/4.14 (X378( 24.26/4.14 X382) <=> 24.26/4.14 (X382 = 24.26/4.14 X380)))) => 24.26/4.14 (?[X384]: 24.26/4.14 (( 24.26/4.14 ![X386]: 24.26/4.14 (X378( 24.26/4.14 X386) => 24.26/4.14 (X384 = 24.26/4.14 X386))) & 24.26/4.14 X378( 24.26/4.14 X384))))) => 24.26/4.14 (( 24.26/4.14 ![X388, 24.26/4.14 X390]: 24.26/4.14 (( 24.26/4.14 X388 = 24.26/4.14 X390) => 24.26/4.14 (![X392, 24.26/4.14 X394]: 24.26/4.14 (( 24.26/4.14 X392 = 24.26/4.14 X394) => 24.26/4.14 (in( 24.26/4.14 X392,X388) => 24.26/4.14 in( 24.26/4.14 X394,X390)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X396, 24.26/4.14 X398]: 24.26/4.14 (( 24.26/4.14 X396 = 24.26/4.14 X398) => 24.26/4.14 (![X400, 24.26/4.14 X402]: 24.26/4.14 (( 24.26/4.14 X400 = 24.26/4.14 X402) => 24.26/4.14 (in( 24.26/4.14 X400,X396) <=> 24.26/4.14 in( 24.26/4.14 X402,X398)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X404:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (( 24.26/4.14 ?[X406]: 24.26/4.14 (( 24.26/4.14 ![X408]: 24.26/4.14 (X404( 24.26/4.14 X408) => 24.26/4.14 (X406 = 24.26/4.14 X408))) & 24.26/4.14 X404( 24.26/4.14 X406))) => 24.26/4.14 (![X410, 24.26/4.14 X412]: 24.26/4.14 (X404( 24.26/4.14 X410) => 24.26/4.14 (X404( 24.26/4.14 X412) => 24.26/4.14 (X410 = 24.26/4.14 X412)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X414:( 24.26/4.14 ( 24.26/4.14 $i > $o)), 24.26/4.14 X416:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (( 24.26/4.14 ![X418, 24.26/4.14 X420]: 24.26/4.14 (( 24.26/4.14 X418 = 24.26/4.14 X420) => 24.26/4.14 (X414( 24.26/4.14 X418) <=> 24.26/4.14 X416( 24.26/4.14 X420)))) => 24.26/4.14 (( 24.26/4.14 ?[X422]: 24.26/4.14 zip_tseitin_5( 24.26/4.14 X422,X414)) <=> 24.26/4.14 (?[X426]: 24.26/4.14 zip_tseitin_5( 24.26/4.14 X426,X416))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 emptyset = 24.26/4.14 emptyset) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X430, 24.26/4.14 X432]: 24.26/4.14 (( 24.26/4.14 X430 = 24.26/4.14 X432) => 24.26/4.14 (![X434, 24.26/4.14 X436]: 24.26/4.14 (( 24.26/4.14 X434 = 24.26/4.14 X436) => 24.26/4.14 (setadjoin( 24.26/4.14 X430,X434) = 24.26/4.14 setadjoin( 24.26/4.14 X432,X436)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X438, 24.26/4.14 X440]: 24.26/4.14 (( 24.26/4.14 X438 = 24.26/4.14 X440) => 24.26/4.14 (powerset( 24.26/4.14 X438) = 24.26/4.14 powerset( 24.26/4.14 X440)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X442, 24.26/4.14 X444]: 24.26/4.14 (( 24.26/4.14 X442 = 24.26/4.14 X444) => 24.26/4.14 (setunion( 24.26/4.14 X442) = 24.26/4.14 setunion( 24.26/4.14 X444)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 omega = 24.26/4.14 omega) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X446:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (( 24.26/4.14 ?[X448]: 24.26/4.14 (( 24.26/4.14 ![X450]: 24.26/4.14 (X446( 24.26/4.14 X450) => 24.26/4.14 (X448 = 24.26/4.14 X450))) & 24.26/4.14 X446( 24.26/4.14 X448))) => 24.26/4.14 (![X452, 24.26/4.14 X454]: 24.26/4.14 (X446( 24.26/4.14 X452) => 24.26/4.14 (X446( 24.26/4.14 X454) => 24.26/4.14 (X452 = 24.26/4.14 X454)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X456:( 24.26/4.14 ( 24.26/4.14 $i > $o)), 24.26/4.14 X458:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (( 24.26/4.14 ![X460, 24.26/4.14 X462]: 24.26/4.14 (( 24.26/4.14 X460 = 24.26/4.14 X462) => 24.26/4.14 (X456( 24.26/4.14 X460) <=> 24.26/4.14 X458( 24.26/4.14 X462)))) => 24.26/4.14 (( 24.26/4.14 ?[X464]: 24.26/4.14 (( 24.26/4.14 ![X466]: 24.26/4.14 (X456( 24.26/4.14 X466) => 24.26/4.14 (X464 = 24.26/4.14 X466))) & 24.26/4.14 X456( 24.26/4.14 X464))) => 24.26/4.14 (( 24.26/4.14 ?[X468]: 24.26/4.14 (( 24.26/4.14 ![X470]: 24.26/4.14 (X458( 24.26/4.14 X470) => 24.26/4.14 (X468 = 24.26/4.14 X470))) & 24.26/4.14 X458( 24.26/4.14 X468))) => 24.26/4.14 (descr( 24.26/4.14 ^[V_9]: 24.26/4.14 X456(V_9)) = 24.26/4.14 descr( 24.26/4.14 ^[V_10]: 24.26/4.14 X458( 24.26/4.14 V_10))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X472, 24.26/4.14 X474]: 24.26/4.14 (( 24.26/4.14 X472 = 24.26/4.14 X474) => 24.26/4.14 (![X476:( 24.26/4.14 ( 24.26/4.14 $i > $o)), 24.26/4.14 X478:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (( 24.26/4.14 ![X480]: 24.26/4.14 (in( 24.26/4.14 X480,X472) => 24.26/4.14 (![X482]: 24.26/4.14 (in( 24.26/4.14 X482,X474) => 24.26/4.14 (( 24.26/4.14 X480 = 24.26/4.14 X482) => 24.26/4.14 (X476( 24.26/4.14 X480) <=> 24.26/4.14 X478( 24.26/4.14 X482))))))) => 24.26/4.14 (dsetconstr( 24.26/4.14 X472, 24.26/4.14 ^[V_11]: 24.26/4.14 X476( 24.26/4.14 V_11)) = 24.26/4.14 dsetconstr( 24.26/4.14 X474, 24.26/4.14 ^[V_12]: 24.26/4.14 X478( 24.26/4.14 V_12))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X484, 24.26/4.14 X486]: 24.26/4.14 (( 24.26/4.14 ![X488]: 24.26/4.14 (in( 24.26/4.14 X488,X484) => 24.26/4.14 in( 24.26/4.14 X488,X486))) => 24.26/4.14 subset( 24.26/4.14 X484,X486))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X490, 24.26/4.14 X492]: 24.26/4.14 (( 24.26/4.14 X490 = 24.26/4.14 X492) => 24.26/4.14 subset( 24.26/4.14 X492,X490))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X494, 24.26/4.14 X496]: 24.26/4.14 (( 24.26/4.14 X494 = 24.26/4.14 X496) => 24.26/4.14 subset( 24.26/4.14 X494,X496))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X498, 24.26/4.14 X500]: 24.26/4.14 (( 24.26/4.14 ![X502]: 24.26/4.14 (in( 24.26/4.14 X502,X498) => 24.26/4.14 in( 24.26/4.14 X502,X500))) => 24.26/4.14 subset( 24.26/4.14 X498,X500))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X504]: 24.26/4.14 subset( 24.26/4.14 emptyset, 24.26/4.14 X504)) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X506, 24.26/4.14 X508,X510]: 24.26/4.14 (subset( 24.26/4.14 X506,X508) => 24.26/4.14 (in( 24.26/4.14 X510,X506) => 24.26/4.14 in( 24.26/4.14 X510,X508)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X512, 24.26/4.14 X514,X516]: 24.26/4.14 (subset( 24.26/4.14 X512,X514) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X516,X514)) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X516,X512))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X518, 24.26/4.14 X520,X522]: 24.26/4.14 (in( 24.26/4.14 X522,X518) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X522,X520)) => 24.26/4.14 (~ 24.26/4.14 subset( 24.26/4.14 X518,X520))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X524, 24.26/4.14 X526]: 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 subset( 24.26/4.14 X524,X526)) => 24.26/4.14 (X524 != 24.26/4.14 X526))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X528, 24.26/4.14 X530,X532]: 24.26/4.14 (in( 24.26/4.14 X532,X528) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X532,X530)) => 24.26/4.14 (X528 != 24.26/4.14 X530)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X534]: 24.26/4.14 subset( 24.26/4.14 X534,X534)) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X536, 24.26/4.14 X538,X540]: 24.26/4.14 (subset( 24.26/4.14 X536,X538) => 24.26/4.14 (subset( 24.26/4.14 X538,X540) => 24.26/4.14 subset( 24.26/4.14 X536,X540)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X542, 24.26/4.14 X544]: 24.26/4.14 subset( 24.26/4.14 X544, 24.26/4.14 setadjoin( 24.26/4.14 X542,X544))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X546, 24.26/4.14 X548,X550]: 24.26/4.14 (subset( 24.26/4.14 X546,X550) => 24.26/4.14 subset( 24.26/4.14 X546, 24.26/4.14 setadjoin( 24.26/4.14 X548,X550)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X552, 24.26/4.14 X554]: 24.26/4.14 (subset( 24.26/4.14 X552,X554) => 24.26/4.14 in( 24.26/4.14 X552, 24.26/4.14 powerset( 24.26/4.14 X554)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X556, 24.26/4.14 X558]: 24.26/4.14 (subset( 24.26/4.14 X556,X558) => 24.26/4.14 (subset( 24.26/4.14 X558,X556) => 24.26/4.14 (X556 = 24.26/4.14 X558)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X560]: 24.26/4.14 (subset( 24.26/4.14 X560, 24.26/4.14 emptyset) => 24.26/4.14 (X560 = 24.26/4.14 emptyset))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X562, 24.26/4.14 X564]: 24.26/4.14 (subset( 24.26/4.14 X564,X562) => 24.26/4.14 in( 24.26/4.14 X564, 24.26/4.14 powerset( 24.26/4.14 X562)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X566, 24.26/4.14 X568]: 24.26/4.14 (in( 24.26/4.14 X568, 24.26/4.14 powerset( 24.26/4.14 X566)) => 24.26/4.14 subset( 24.26/4.14 X568,X566))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X570]: 24.26/4.14 in( 24.26/4.14 X570, 24.26/4.14 powerset( 24.26/4.14 X570))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X572, 24.26/4.14 X574]: 24.26/4.14 (subset( 24.26/4.14 X572,X574) => 24.26/4.14 subset( 24.26/4.14 powerset( 24.26/4.14 X572), 24.26/4.14 powerset( 24.26/4.14 X574)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X576, 24.26/4.14 X578:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 in( 24.26/4.14 dsetconstr( 24.26/4.14 X576, 24.26/4.14 ^[V_13]: 24.26/4.14 X578( 24.26/4.14 V_13)), 24.26/4.14 powerset( 24.26/4.14 X576))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X580, 24.26/4.14 X582:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 subset( 24.26/4.14 dsetconstr( 24.26/4.14 X580, 24.26/4.14 ^[V_14]: 24.26/4.14 X582( 24.26/4.14 V_14)), 24.26/4.14 X580)) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X584, 24.26/4.14 X586,X588]: 24.26/4.14 (in( 24.26/4.14 X588,X584) => 24.26/4.14 in( 24.26/4.14 X588, 24.26/4.14 binunion( 24.26/4.14 X584,X586)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X590, 24.26/4.14 X592]: 24.26/4.14 in( 24.26/4.14 X592, 24.26/4.14 setadjoin( 24.26/4.14 X590, 24.26/4.14 setadjoin( 24.26/4.14 X592, 24.26/4.14 emptyset)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X594, 24.26/4.14 X596,X598]: 24.26/4.14 (in( 24.26/4.14 X598,X596) => 24.26/4.14 in( 24.26/4.14 X598, 24.26/4.14 binunion( 24.26/4.14 X594,X596)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X600, 24.26/4.14 X602, 24.26/4.14 X604, 24.26/4.14 X606:$o]: 24.26/4.14 (in( 24.26/4.14 X604, 24.26/4.14 binunion( 24.26/4.14 X600,X602)) => 24.26/4.14 (( 24.26/4.14 in( 24.26/4.14 X604,X600) => 24.26/4.14 X606) => 24.26/4.14 (( 24.26/4.14 in( 24.26/4.14 X604,X602) => 24.26/4.14 X606) => 24.26/4.14 X606)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X608, 24.26/4.14 X610,X612]: 24.26/4.14 (in( 24.26/4.14 X612, 24.26/4.14 binunion( 24.26/4.14 X608,X610)) => 24.26/4.14 (in( 24.26/4.14 X612,X608) | 24.26/4.14 in( 24.26/4.14 X612,X610)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X614, 24.26/4.14 X616]: 24.26/4.14 subset( 24.26/4.14 X614, 24.26/4.14 binunion( 24.26/4.14 X614,X616))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X618, 24.26/4.14 X620]: 24.26/4.14 subset( 24.26/4.14 X620, 24.26/4.14 binunion( 24.26/4.14 X618,X620))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X622, 24.26/4.14 X624,X626]: 24.26/4.14 (in( 24.26/4.14 X626,X622) => 24.26/4.14 (in( 24.26/4.14 X626,X624) => 24.26/4.14 in( 24.26/4.14 X626, 24.26/4.14 binintersect( 24.26/4.14 X622,X624))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X628, 24.26/4.14 X630,X632]: 24.26/4.14 (subset( 24.26/4.14 X632,X628) => 24.26/4.14 (subset( 24.26/4.14 X632,X630) => 24.26/4.14 subset( 24.26/4.14 X632, 24.26/4.14 binintersect( 24.26/4.14 X628,X630))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X634, 24.26/4.14 X636,X638]: 24.26/4.14 (in( 24.26/4.14 X638, 24.26/4.14 binintersect( 24.26/4.14 X634,X636)) => 24.26/4.14 in( 24.26/4.14 X638,X634))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X640, 24.26/4.14 X642]: 24.26/4.14 subset( 24.26/4.14 binintersect( 24.26/4.14 X640,X642), 24.26/4.14 X640)) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X644, 24.26/4.14 X646]: 24.26/4.14 (subset( 24.26/4.14 X644,X646) => 24.26/4.14 (binintersect( 24.26/4.14 X644,X646) = 24.26/4.14 X644))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X648, 24.26/4.14 X650]: 24.26/4.14 (( 24.26/4.14 binintersect( 24.26/4.14 X648,X650) = 24.26/4.14 X650) => 24.26/4.14 subset( 24.26/4.14 X650,X648))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X652, 24.26/4.14 X654,X656]: 24.26/4.14 (in( 24.26/4.14 X656, 24.26/4.14 binintersect( 24.26/4.14 X652,X654)) => 24.26/4.14 in( 24.26/4.14 X656,X654))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X658, 24.26/4.14 X660]: 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 ( 24.26/4.14 ?[X662]: 24.26/4.14 (in( 24.26/4.14 X662,X660) & 24.26/4.14 in( 24.26/4.14 X662,X658)))) => 24.26/4.14 (binintersect( 24.26/4.14 X658,X660) = 24.26/4.14 emptyset))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X664, 24.26/4.14 X666]: 24.26/4.14 subset( 24.26/4.14 binintersect( 24.26/4.14 X664,X666), 24.26/4.14 X666)) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X668, 24.26/4.14 X670]: 24.26/4.14 (subset( 24.26/4.14 X670,X668) => 24.26/4.14 (binintersect( 24.26/4.14 X668,X670) = 24.26/4.14 X670))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X672, 24.26/4.14 X674]: 24.26/4.14 (( 24.26/4.14 binintersect( 24.26/4.14 X672,X674) = 24.26/4.14 X672) => 24.26/4.14 subset( 24.26/4.14 X672,X674))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X676, 24.26/4.14 X678,X680]: 24.26/4.14 (binintersect( 24.26/4.14 X676, 24.26/4.14 binunion( 24.26/4.14 X678,X680)) = 24.26/4.14 binunion( 24.26/4.14 binintersect( 24.26/4.14 X676,X678), 24.26/4.14 binintersect( 24.26/4.14 X676,X680)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X682, 24.26/4.14 X684,X686]: 24.26/4.14 (in( 24.26/4.14 X686,X682) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X686,X684)) => 24.26/4.14 in( 24.26/4.14 X686, 24.26/4.14 setminus( 24.26/4.14 X682,X684))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X688, 24.26/4.14 X690,X692]: 24.26/4.14 (in( 24.26/4.14 X692, 24.26/4.14 setminus( 24.26/4.14 X688,X690)) => 24.26/4.14 in( 24.26/4.14 X692,X688))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X694, 24.26/4.14 X696,X698]: 24.26/4.14 (in( 24.26/4.14 X698, 24.26/4.14 setminus( 24.26/4.14 X694,X696)) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X698,X696)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X700, 24.26/4.14 X702]: 24.26/4.14 (subset( 24.26/4.14 X700,X702) => 24.26/4.14 (setminus( 24.26/4.14 X700,X702) = 24.26/4.14 emptyset))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X704, 24.26/4.14 X706,X708]: 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X708, 24.26/4.14 setminus( 24.26/4.14 X704,X706))) => 24.26/4.14 (in( 24.26/4.14 X708,X704) => 24.26/4.14 in( 24.26/4.14 X708,X706)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X710, 24.26/4.14 X712,X714]: 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X714, 24.26/4.14 setminus( 24.26/4.14 X710,X712))) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X714,X712)) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X714,X710))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X716, 24.26/4.14 X718,X720]: 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X720,X716)) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X720, 24.26/4.14 setminus( 24.26/4.14 X716,X718))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X722, 24.26/4.14 X724,X726]: 24.26/4.14 (in( 24.26/4.14 X726,X724) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X726, 24.26/4.14 setminus( 24.26/4.14 X722,X724))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X728, 24.26/4.14 X730]: 24.26/4.14 subset( 24.26/4.14 setminus( 24.26/4.14 X728,X730), 24.26/4.14 X728)) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X732, 24.26/4.14 X734]: 24.26/4.14 (( 24.26/4.14 setminus( 24.26/4.14 X732,X734) = 24.26/4.14 emptyset) => 24.26/4.14 subset( 24.26/4.14 X732,X734))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X736, 24.26/4.14 X738,X740]: 24.26/4.14 (in( 24.26/4.14 X740, 24.26/4.14 symdiff( 24.26/4.14 X736,X738)) => 24.26/4.14 (![X742:$o]: 24.26/4.14 (( 24.26/4.14 in( 24.26/4.14 X740,X736) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X740,X738)) => 24.26/4.14 X742)) => 24.26/4.14 (( 24.26/4.14 ( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X740,X736)) => 24.26/4.14 ( 24.26/4.14 in( 24.26/4.14 X740,X738) => 24.26/4.14 X742)) => 24.26/4.14 X742))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X744, 24.26/4.14 X746,X748]: 24.26/4.14 (in( 24.26/4.14 X748,X744) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X748,X746)) => 24.26/4.14 in( 24.26/4.14 X748, 24.26/4.14 symdiff( 24.26/4.14 X744,X746))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X750, 24.26/4.14 X752,X754]: 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X754,X750)) => 24.26/4.14 (in( 24.26/4.14 X754,X752) => 24.26/4.14 in( 24.26/4.14 X754, 24.26/4.14 symdiff( 24.26/4.14 X750,X752))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X756, 24.26/4.14 X758,X760]: 24.26/4.14 (in( 24.26/4.14 X760,X756) => 24.26/4.14 (in( 24.26/4.14 X760,X758) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X760, 24.26/4.14 symdiff( 24.26/4.14 X756,X758)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X762, 24.26/4.14 X764,X766]: 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X766,X762)) => 24.26/4.14 (( 24.26/4.14 ~ 24.26/4.14 in( 24.26/4.14 X766,X764)) => 24.26/4.14 (~ 24.26/4.14 in( 24.26/4.14 X766, 24.26/4.14 symdiff( 24.26/4.14 X762,X764)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X768, 24.26/4.14 X770]: 24.26/4.14 in( 24.26/4.14 X770, 24.26/4.14 setadjoin( 24.26/4.14 X768, 24.26/4.14 setadjoin( 24.26/4.14 X770, 24.26/4.14 emptyset)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X772, 24.26/4.14 X774]: 24.26/4.14 in( 24.26/4.14 X772, 24.26/4.14 setunion( 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X772, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X772, 24.26/4.14 setadjoin( 24.26/4.14 X774, 24.26/4.14 emptyset)), 24.26/4.14 emptyset))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X776, 24.26/4.14 X778]: 24.26/4.14 in( 24.26/4.14 X778, 24.26/4.14 setunion( 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X776, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X776, 24.26/4.14 setadjoin( 24.26/4.14 X778, 24.26/4.14 emptyset)), 24.26/4.14 emptyset))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X780, 24.26/4.14 X782]: 24.26/4.14 iskpair( 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X780, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X780, 24.26/4.14 setadjoin( 24.26/4.14 X782, 24.26/4.14 emptyset)), 24.26/4.14 emptyset)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X784, 24.26/4.14 X786]: 24.26/4.14 iskpair( 24.26/4.14 kpair( 24.26/4.14 X784,X786))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X788, 24.26/4.14 X790]: 24.26/4.14 (in( 24.26/4.14 X790,X788) => 24.26/4.14 subset( 24.26/4.14 setadjoin( 24.26/4.14 X790, 24.26/4.14 emptyset), 24.26/4.14 X788))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X792, 24.26/4.14 X794]: 24.26/4.14 (in( 24.26/4.14 X794,X792) => 24.26/4.14 in( 24.26/4.14 setadjoin( 24.26/4.14 X794, 24.26/4.14 emptyset), 24.26/4.14 powerset( 24.26/4.14 X792)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X796, 24.26/4.14 X798,X800]: 24.26/4.14 (in( 24.26/4.14 X800,X796) => 24.26/4.14 in( 24.26/4.14 setadjoin( 24.26/4.14 X800, 24.26/4.14 emptyset), 24.26/4.14 powerset( 24.26/4.14 binunion( 24.26/4.14 X796,X798))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X802, 24.26/4.14 X804,X806]: 24.26/4.14 (in( 24.26/4.14 X806, 24.26/4.14 setadjoin( 24.26/4.14 X802, 24.26/4.14 setadjoin( 24.26/4.14 X804, 24.26/4.14 emptyset))) => 24.26/4.14 (( 24.26/4.14 X806 = 24.26/4.14 X802) | 24.26/4.14 (X806 = 24.26/4.14 X804)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X808, 24.26/4.14 X810,X812]: 24.26/4.14 (in( 24.26/4.14 X812,X808) => 24.26/4.14 (![X814]: 24.26/4.14 (in( 24.26/4.14 X814,X810) => 24.26/4.14 subset( 24.26/4.14 setadjoin( 24.26/4.14 X812, 24.26/4.14 setadjoin( 24.26/4.14 X814, 24.26/4.14 emptyset)), 24.26/4.14 binunion( 24.26/4.14 X808,X810)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X816, 24.26/4.14 X818,X820]: 24.26/4.14 (in( 24.26/4.14 X820,X816) => 24.26/4.14 (![X822]: 24.26/4.14 (in( 24.26/4.14 X822,X818) => 24.26/4.14 in( 24.26/4.14 setadjoin( 24.26/4.14 X820, 24.26/4.14 setadjoin( 24.26/4.14 X822, 24.26/4.14 emptyset)), 24.26/4.14 powerset( 24.26/4.14 binunion( 24.26/4.14 X816,X818))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X824, 24.26/4.14 X826,X828]: 24.26/4.14 (in( 24.26/4.14 X828,X824) => 24.26/4.14 (![X830]: 24.26/4.14 (in( 24.26/4.14 X830,X826) => 24.26/4.14 subset( 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X828, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X828, 24.26/4.14 setadjoin( 24.26/4.14 X830, 24.26/4.14 emptyset)), 24.26/4.14 emptyset)), 24.26/4.14 powerset( 24.26/4.14 binunion( 24.26/4.14 X824,X826))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X832, 24.26/4.14 X834,X836]: 24.26/4.14 (in( 24.26/4.14 X836,X832) => 24.26/4.14 (![X838]: 24.26/4.14 (in( 24.26/4.14 X838,X834) => 24.26/4.14 in( 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X836, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X836, 24.26/4.14 setadjoin( 24.26/4.14 X838, 24.26/4.14 emptyset)), 24.26/4.14 emptyset)), 24.26/4.14 powerset( 24.26/4.14 powerset( 24.26/4.14 binunion( 24.26/4.14 X832,X834)))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X840, 24.26/4.14 X842,X844]: 24.26/4.14 (in( 24.26/4.14 X844,X840) => 24.26/4.14 (![X846]: 24.26/4.14 (in( 24.26/4.14 X846,X842) => 24.26/4.14 in( 24.26/4.14 kpair( 24.26/4.14 X844,X846), 24.26/4.14 powerset( 24.26/4.14 powerset( 24.26/4.14 binunion( 24.26/4.14 X840,X842)))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X848, 24.26/4.14 X850,X852]: 24.26/4.14 (in( 24.26/4.14 X852,X848) => 24.26/4.14 (![X854]: 24.26/4.14 (in( 24.26/4.14 X854,X850) => 24.26/4.14 in( 24.26/4.14 kpair( 24.26/4.14 X852,X854), 24.26/4.14 cartprod( 24.26/4.14 X848,X850)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X856, 24.26/4.14 X858,X860]: 24.26/4.14 (in( 24.26/4.14 X860, 24.26/4.14 cartprod( 24.26/4.14 X856,X858)) => 24.26/4.14 (?[X862]: 24.26/4.14 (( 24.26/4.14 ?[X864]: 24.26/4.14 (( 24.26/4.14 X860 = 24.26/4.14 kpair( 24.26/4.14 X862,X864)) & 24.26/4.14 in( 24.26/4.14 X864,X858))) & 24.26/4.14 in( 24.26/4.14 X862,X856))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X866, 24.26/4.14 X868,X870]: 24.26/4.14 (in( 24.26/4.14 X870, 24.26/4.14 cartprod( 24.26/4.14 X866,X868)) => 24.26/4.14 iskpair( 24.26/4.14 X870))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X872, 24.26/4.14 X874]: 24.26/4.14 (in( 24.26/4.14 X874, 24.26/4.14 setunion( 24.26/4.14 X872)) => 24.26/4.14 (?[X876]: 24.26/4.14 (in( 24.26/4.14 X874,X876) & 24.26/4.14 in( 24.26/4.14 X876,X872))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X878]: 24.26/4.14 subset( 24.26/4.14 setunion( 24.26/4.14 setadjoin( 24.26/4.14 X878, 24.26/4.14 emptyset)), 24.26/4.14 X878)) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X880]: 24.26/4.14 subset( 24.26/4.14 X880, 24.26/4.14 setunion( 24.26/4.14 setadjoin( 24.26/4.14 X880, 24.26/4.14 emptyset)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X882]: 24.26/4.14 (setunion( 24.26/4.14 setadjoin( 24.26/4.14 X882, 24.26/4.14 emptyset)) = 24.26/4.14 X882)) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X884, 24.26/4.14 X886:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (( 24.26/4.14 ![X888]: 24.26/4.14 (in( 24.26/4.14 X888,X884) => 24.26/4.14 (![X890]: 24.26/4.14 (in( 24.26/4.14 X890,X884) => 24.26/4.14 (X886( 24.26/4.14 X888) => 24.26/4.14 (X886( 24.26/4.14 X890) => 24.26/4.14 (X888 = 24.26/4.14 X890))))))) => 24.26/4.14 (( 24.26/4.14 ?[X892]: 24.26/4.14 (X886( 24.26/4.14 X892) & 24.26/4.14 in( 24.26/4.14 X892,X884))) => 24.26/4.14 singleton( 24.26/4.14 dsetconstr( 24.26/4.14 X884, 24.26/4.14 ^[V_15]: 24.26/4.14 X886( 24.26/4.14 V_15)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X894, 24.26/4.14 X896:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (singleton( 24.26/4.14 dsetconstr( 24.26/4.14 X894, 24.26/4.14 ^[V_16]: 24.26/4.14 X896( 24.26/4.14 V_16))) => 24.26/4.14 (?[X898]: 24.26/4.14 (X896( 24.26/4.14 X898) & 24.26/4.14 in( 24.26/4.14 X898,X894))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X900, 24.26/4.14 X902:( 24.26/4.14 ( 24.26/4.14 $i > $o)), 24.26/4.14 X904]: 24.26/4.14 (in( 24.26/4.14 X904,X900) => 24.26/4.14 (X902( 24.26/4.14 X904) => 24.26/4.14 (( 24.26/4.14 ![X906]: 24.26/4.14 (in( 24.26/4.14 X906,X900) => 24.26/4.14 (X902( 24.26/4.14 X906) => 24.26/4.14 (X906 = 24.26/4.14 X904)))) => 24.26/4.14 singleton( 24.26/4.14 dsetconstr( 24.26/4.14 X900, 24.26/4.14 ^[V_17]: 24.26/4.14 X902( 24.26/4.14 V_17))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X908, 24.26/4.14 X910:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (( 24.26/4.14 ![X912]: 24.26/4.14 (in( 24.26/4.14 X912,X908) => 24.26/4.14 (![X914]: 24.26/4.14 (in( 24.26/4.14 X914,X908) => 24.26/4.14 (X910( 24.26/4.14 X912) => 24.26/4.14 (X910( 24.26/4.14 X914) => 24.26/4.14 (X912 = 24.26/4.14 X914))))))) => 24.26/4.14 (( 24.26/4.14 ?[X916]: 24.26/4.14 (X910( 24.26/4.14 X916) & 24.26/4.14 in( 24.26/4.14 X916,X908))) => 24.26/4.14 singleton( 24.26/4.14 dsetconstr( 24.26/4.14 X908, 24.26/4.14 ^[V_18]: 24.26/4.14 X910( 24.26/4.14 V_18)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X918, 24.26/4.14 X920]: 24.26/4.14 (( 24.26/4.14 setadjoin( 24.26/4.14 X918, 24.26/4.14 emptyset) = 24.26/4.14 setadjoin( 24.26/4.14 X920, 24.26/4.14 emptyset)) => 24.26/4.14 (X918 = 24.26/4.14 X920))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X922, 24.26/4.14 X924,X926]: 24.26/4.14 (in( 24.26/4.14 setadjoin( 24.26/4.14 X926, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X922, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X922, 24.26/4.14 setadjoin( 24.26/4.14 X924, 24.26/4.14 emptyset)), 24.26/4.14 emptyset))) => 24.26/4.14 (X922 = 24.26/4.14 X926))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X928]: 24.26/4.14 (iskpair( 24.26/4.14 X928) => 24.26/4.14 singleton( 24.26/4.14 dsetconstr( 24.26/4.14 setunion( 24.26/4.14 X928), 24.26/4.14 ^[V_19]: 24.26/4.14 in( 24.26/4.14 setadjoin( 24.26/4.14 V_19, 24.26/4.14 emptyset), 24.26/4.14 X928))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X930]: 24.26/4.14 (singleton( 24.26/4.14 X930) => 24.26/4.14 in( 24.26/4.14 setunion( 24.26/4.14 X930), 24.26/4.14 X930))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X932, 24.26/4.14 X934]: 24.26/4.14 (kfst( 24.26/4.14 kpair( 24.26/4.14 X932,X934)) = 24.26/4.14 X932)) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X936, 24.26/4.14 X938,X940]: 24.26/4.14 (in( 24.26/4.14 X940, 24.26/4.14 cartprod( 24.26/4.14 X936,X938)) => 24.26/4.14 in( 24.26/4.14 kfst( 24.26/4.14 X940), 24.26/4.14 X936))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X942, 24.26/4.14 X944, 24.26/4.14 X946,X948]: 24.26/4.14 (( 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X942, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X942, 24.26/4.14 setadjoin( 24.26/4.14 X944, 24.26/4.14 emptyset)), 24.26/4.14 emptyset)) = 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X946, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X946, 24.26/4.14 setadjoin( 24.26/4.14 X948, 24.26/4.14 emptyset)), 24.26/4.14 emptyset))) => 24.26/4.14 (X942 = 24.26/4.14 X946))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X950, 24.26/4.14 X952, 24.26/4.14 X954,X956]: 24.26/4.14 (( 24.26/4.14 kpair( 24.26/4.14 X950,X952) = 24.26/4.14 kpair( 24.26/4.14 X954,X956)) => 24.26/4.14 (X950 = 24.26/4.14 X954))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X958, 24.26/4.14 X960]: 24.26/4.14 (( 24.26/4.14 X958 = 24.26/4.14 X960) => 24.26/4.14 (setadjoin( 24.26/4.14 X958, 24.26/4.14 setadjoin( 24.26/4.14 X960, 24.26/4.14 emptyset)) = 24.26/4.14 setadjoin( 24.26/4.14 X958, 24.26/4.14 emptyset)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X962, 24.26/4.14 X964]: 24.26/4.14 (( 24.26/4.14 X962 = 24.26/4.14 X964) => 24.26/4.14 (setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X962, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X962, 24.26/4.14 setadjoin( 24.26/4.14 X964, 24.26/4.14 emptyset)), 24.26/4.14 emptyset)) = 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X962, 24.26/4.14 emptyset), 24.26/4.14 emptyset)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X966, 24.26/4.14 X968, 24.26/4.14 X970,X972]: 24.26/4.14 (( 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X966, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X966, 24.26/4.14 setadjoin( 24.26/4.14 X968, 24.26/4.14 emptyset)), 24.26/4.14 emptyset)) = 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X970, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X970, 24.26/4.14 setadjoin( 24.26/4.14 X972, 24.26/4.14 emptyset)), 24.26/4.14 emptyset))) => 24.26/4.14 (( 24.26/4.14 X970 = 24.26/4.14 X972) => 24.26/4.14 (X968 = 24.26/4.14 X972)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X974, 24.26/4.14 X976,X978]: 24.26/4.14 (( 24.26/4.14 setadjoin( 24.26/4.14 X974, 24.26/4.14 setadjoin( 24.26/4.14 X976, 24.26/4.14 emptyset)) = 24.26/4.14 setadjoin( 24.26/4.14 X978, 24.26/4.14 emptyset)) => 24.26/4.14 (X974 = 24.26/4.14 X976))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X980, 24.26/4.14 X982, 24.26/4.14 X984,X986]: 24.26/4.14 (( 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X980, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X980, 24.26/4.14 setadjoin( 24.26/4.14 X982, 24.26/4.14 emptyset)), 24.26/4.14 emptyset)) = 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X984, 24.26/4.14 emptyset), 24.26/4.14 setadjoin( 24.26/4.14 setadjoin( 24.26/4.14 X984, 24.26/4.14 setadjoin( 24.26/4.14 X986, 24.26/4.14 emptyset)), 24.26/4.14 emptyset))) => 24.26/4.14 (X982 = 24.26/4.14 X986))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X988, 24.26/4.14 X990, 24.26/4.14 X992,X994]: 24.26/4.14 (( 24.26/4.14 kpair( 24.26/4.14 X988,X990) = 24.26/4.14 kpair( 24.26/4.14 X992,X994)) => 24.26/4.14 (X990 = 24.26/4.14 X994))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X996]: 24.26/4.14 (iskpair( 24.26/4.14 X996) => 24.26/4.14 singleton( 24.26/4.14 dsetconstr( 24.26/4.14 setunion( 24.26/4.14 X996), 24.26/4.14 ^[V_20]: 24.26/4.14 (X996 = 24.26/4.14 kpair( 24.26/4.14 kfst( 24.26/4.14 X996), 24.26/4.14 V_20)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X998, 24.26/4.14 X1000]: 24.26/4.14 (ksnd( 24.26/4.14 kpair( 24.26/4.14 X998, 24.26/4.14 X1000)) = 24.26/4.14 X1000)) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1002]: 24.26/4.14 (iskpair( 24.26/4.14 X1002) => 24.26/4.14 (kpair( 24.26/4.14 kfst( 24.26/4.14 X1002), 24.26/4.14 ksnd( 24.26/4.14 X1002)) = 24.26/4.14 X1002))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1004, 24.26/4.14 X1006, 24.26/4.14 X1008]: 24.26/4.14 (in( 24.26/4.14 X1008, 24.26/4.14 cartprod( 24.26/4.14 X1004, 24.26/4.14 X1006)) => 24.26/4.14 in( 24.26/4.14 ksnd( 24.26/4.14 X1008), 24.26/4.14 X1006))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1010, 24.26/4.14 X1012, 24.26/4.14 X1014, 24.26/4.14 X1016]: 24.26/4.14 (in( 24.26/4.14 kpair( 24.26/4.14 X1014, 24.26/4.14 X1016), 24.26/4.14 cartprod( 24.26/4.14 X1010, 24.26/4.14 X1012)) => 24.26/4.14 in( 24.26/4.14 X1014, 24.26/4.14 X1010))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1018, 24.26/4.14 X1020, 24.26/4.14 X1022, 24.26/4.14 X1024]: 24.26/4.14 (in( 24.26/4.14 kpair( 24.26/4.14 X1022, 24.26/4.14 X1024), 24.26/4.14 cartprod( 24.26/4.14 X1018, 24.26/4.14 X1020)) => 24.26/4.14 in( 24.26/4.14 X1024, 24.26/4.14 X1020))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1026, 24.26/4.14 X1028, 24.26/4.14 X1030]: 24.26/4.14 (in( 24.26/4.14 X1030, 24.26/4.14 X1026) => 24.26/4.14 (![X1032]: 24.26/4.14 (in( 24.26/4.14 X1032, 24.26/4.14 X1028) => 24.26/4.14 (kpair( 24.26/4.14 X1030, 24.26/4.14 X1032) = 24.26/4.14 kpair( 24.26/4.14 X1030, 24.26/4.14 X1032)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1034, 24.26/4.14 X1036, 24.26/4.14 X1038]: 24.26/4.14 (in( 24.26/4.14 X1038, 24.26/4.14 X1034) => 24.26/4.14 (![X1040]: 24.26/4.14 (in( 24.26/4.14 X1040, 24.26/4.14 X1036) => 24.26/4.14 (kfst( 24.26/4.14 kpair( 24.26/4.14 X1038, 24.26/4.14 X1040)) = 24.26/4.14 X1038))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1042, 24.26/4.14 X1044, 24.26/4.14 X1046]: 24.26/4.14 (in( 24.26/4.14 X1046, 24.26/4.14 X1042) => 24.26/4.14 (![X1048]: 24.26/4.14 (in( 24.26/4.14 X1048, 24.26/4.14 X1044) => 24.26/4.14 (ksnd( 24.26/4.14 kpair( 24.26/4.14 X1046, 24.26/4.14 X1048)) = 24.26/4.14 X1048))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1050, 24.26/4.14 X1052, 24.26/4.14 X1054]: 24.26/4.14 (in( 24.26/4.14 X1054, 24.26/4.14 cartprod( 24.26/4.14 X1050, 24.26/4.14 X1052)) => 24.26/4.14 (kpair( 24.26/4.14 kfst( 24.26/4.14 X1054), 24.26/4.14 ksnd( 24.26/4.14 X1054)) = 24.26/4.14 X1054))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1056, 24.26/4.14 X1058, 24.26/4.14 X1060:( 24.26/4.14 ($i * $i) > 24.26/4.14 $o),X1062]: 24.26/4.14 (in( 24.26/4.14 X1062, 24.26/4.14 X1056) => 24.26/4.14 (![X1064]: 24.26/4.14 (in( 24.26/4.14 X1064, 24.26/4.14 X1058) => 24.26/4.14 (X1060( 24.26/4.14 X1062, 24.26/4.14 X1064) => 24.26/4.14 in( 24.26/4.14 kpair( 24.26/4.14 X1062, 24.26/4.14 X1064), 24.26/4.14 dpsetconstr( 24.26/4.14 X1056, 24.26/4.14 X1058, 24.26/4.14 ^[V_21, 24.26/4.14 V_22]: 24.26/4.14 X1060( 24.26/4.14 V_21,V_22)))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1066, 24.26/4.14 X1068, 24.26/4.14 X1070:( 24.26/4.14 ($i * $i) > 24.26/4.14 $o)]: 24.26/4.14 subset( 24.26/4.14 dpsetconstr( 24.26/4.14 X1066, 24.26/4.14 X1068, 24.26/4.14 ^[V_23, 24.26/4.14 V_24]: 24.26/4.14 X1070( 24.26/4.14 V_23,V_24)), 24.26/4.14 cartprod( 24.26/4.14 X1066, 24.26/4.14 X1068))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1072, 24.26/4.14 X1074, 24.26/4.14 X1076:( 24.26/4.14 ($i * $i) > 24.26/4.14 $o)]: 24.26/4.14 subset( 24.26/4.14 dpsetconstr( 24.26/4.14 X1072, 24.26/4.14 X1074, 24.26/4.14 ^[V_25, 24.26/4.14 V_26]: 24.26/4.14 X1076( 24.26/4.14 V_25,V_26)), 24.26/4.14 cartprod( 24.26/4.14 X1072, 24.26/4.14 X1074))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1078, 24.26/4.14 X1080, 24.26/4.14 X1082:( 24.26/4.14 ($i * $i) > 24.26/4.14 $o),X1084]: 24.26/4.14 (in( 24.26/4.14 X1084, 24.26/4.14 X1078) => 24.26/4.14 (![X1086]: 24.26/4.14 (in( 24.26/4.14 X1086, 24.26/4.14 X1080) => 24.26/4.14 (in( 24.26/4.14 kpair( 24.26/4.14 X1084, 24.26/4.14 X1086), 24.26/4.14 dpsetconstr( 24.26/4.14 X1078, 24.26/4.14 X1080, 24.26/4.14 ^[V_27, 24.26/4.14 V_28]: 24.26/4.14 X1082( 24.26/4.14 V_27,V_28))) => 24.26/4.14 X1082( 24.26/4.14 X1084, 24.26/4.14 X1086)))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1088, 24.26/4.14 X1090, 24.26/4.14 X1092:( 24.26/4.14 ($i * $i) > 24.26/4.14 $o), 24.26/4.14 X1094, 24.26/4.14 X1096]: 24.26/4.14 (in( 24.26/4.14 kpair( 24.26/4.14 X1094, 24.26/4.14 X1096), 24.26/4.14 dpsetconstr( 24.26/4.14 X1088, 24.26/4.14 X1090, 24.26/4.14 ^[V_29, 24.26/4.14 V_30]: 24.26/4.14 X1092( 24.26/4.14 V_29,V_30))) => 24.26/4.14 in( 24.26/4.14 X1094, 24.26/4.14 X1088))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1098, 24.26/4.14 X1100, 24.26/4.14 X1102:( 24.26/4.14 ($i * $i) > 24.26/4.14 $o), 24.26/4.14 X1104, 24.26/4.14 X1106]: 24.26/4.14 (in( 24.26/4.14 kpair( 24.26/4.14 X1104, 24.26/4.14 X1106), 24.26/4.14 dpsetconstr( 24.26/4.14 X1098, 24.26/4.14 X1100, 24.26/4.14 ^[V_31, 24.26/4.14 V_32]: 24.26/4.14 X1102( 24.26/4.14 V_31,V_32))) => 24.26/4.14 in( 24.26/4.14 X1106, 24.26/4.14 X1100))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1108, 24.26/4.14 X1110, 24.26/4.14 X1112:( 24.26/4.14 ($i * $i) > 24.26/4.14 $o), 24.26/4.14 X1114, 24.26/4.14 X1116]: 24.26/4.14 (in( 24.26/4.14 kpair( 24.26/4.14 X1114, 24.26/4.14 X1116), 24.26/4.14 dpsetconstr( 24.26/4.14 X1108, 24.26/4.14 X1110, 24.26/4.14 ^[V_33, 24.26/4.14 V_34]: 24.26/4.14 X1112( 24.26/4.14 V_33,V_34))) => 24.26/4.14 X1112( 24.26/4.14 X1114, 24.26/4.14 X1116))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1118, 24.26/4.14 X1120, 24.26/4.14 X1122]: 24.26/4.14 (func( 24.26/4.14 X1118, 24.26/4.14 X1120, 24.26/4.14 X1122) => 24.26/4.14 (![X1124]: 24.26/4.14 (in( 24.26/4.14 X1124, 24.26/4.14 X1118) => 24.26/4.14 singleton( 24.26/4.14 dsetconstr( 24.26/4.14 X1120, 24.26/4.14 ^[V_35]: 24.26/4.14 in( 24.26/4.14 kpair( 24.26/4.14 X1124, 24.26/4.14 V_35), 24.26/4.14 X1122))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1126, 24.26/4.14 X1128, 24.26/4.14 X1130]: 24.26/4.14 (func( 24.26/4.14 X1126, 24.26/4.14 X1128, 24.26/4.14 X1130) => 24.26/4.14 (![X1132]: 24.26/4.14 (in( 24.26/4.14 X1132, 24.26/4.14 X1126) => 24.26/4.14 in( 24.26/4.14 setunion( 24.26/4.14 dsetconstr( 24.26/4.14 X1128, 24.26/4.14 ^[V_36]: 24.26/4.14 in( 24.26/4.14 kpair( 24.26/4.14 X1132, 24.26/4.14 V_36), 24.26/4.14 X1130))), 24.26/4.14 X1128))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1134, 24.26/4.14 X1136, 24.26/4.14 X1138]: 24.26/4.14 (func( 24.26/4.14 X1134, 24.26/4.14 X1136, 24.26/4.14 X1138) => 24.26/4.14 (![X1140]: 24.26/4.14 (in( 24.26/4.14 X1140, 24.26/4.14 X1134) => 24.26/4.14 in( 24.26/4.14 ap( 24.26/4.14 X1134, 24.26/4.14 X1136, 24.26/4.14 X1138, 24.26/4.14 X1140), 24.26/4.14 X1136))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1142, 24.26/4.14 X1144, 24.26/4.14 X1146]: 24.26/4.14 (in( 24.26/4.14 X1146, 24.26/4.14 funcSet( 24.26/4.14 X1142, 24.26/4.14 X1144)) => 24.26/4.14 func( 24.26/4.14 X1142, 24.26/4.14 X1144, 24.26/4.14 X1146))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1148, 24.26/4.14 X1150, 24.26/4.14 X1152]: 24.26/4.14 (in( 24.26/4.14 X1152, 24.26/4.14 funcSet( 24.26/4.14 X1148, 24.26/4.14 X1150)) => 24.26/4.14 (![X1154]: 24.26/4.14 (in( 24.26/4.14 X1154, 24.26/4.14 X1148) => 24.26/4.14 in( 24.26/4.14 ap( 24.26/4.14 X1148, 24.26/4.14 X1150, 24.26/4.14 X1152, 24.26/4.14 X1154), 24.26/4.14 X1150))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1156, 24.26/4.14 X1158, 24.26/4.14 X1160]: 24.26/4.14 (func( 24.26/4.14 X1156, 24.26/4.14 X1158, 24.26/4.14 X1160) => 24.26/4.14 in( 24.26/4.14 X1160, 24.26/4.14 funcSet( 24.26/4.14 X1156, 24.26/4.14 X1158)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1162, 24.26/4.14 X1164, 24.26/4.14 X1166:( 24.26/4.14 ( 24.26/4.14 $i > $i))]: 24.26/4.14 (( 24.26/4.14 ![X1168]: 24.26/4.14 (in( 24.26/4.14 X1168, 24.26/4.14 X1162) => 24.26/4.14 in( 24.26/4.14 X1166( 24.26/4.14 X1168), 24.26/4.14 X1164))) => 24.26/4.14 func( 24.26/4.14 X1162, 24.26/4.14 X1164, 24.26/4.14 dpsetconstr( 24.26/4.14 X1162, 24.26/4.14 X1164, 24.26/4.14 ^[V_37, 24.26/4.14 V_38]: 24.26/4.14 (X1166( 24.26/4.14 V_37) = 24.26/4.14 V_38))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1170, 24.26/4.14 X1172, 24.26/4.14 X1174:( 24.26/4.14 ( 24.26/4.14 $i > $i))]: 24.26/4.14 (( 24.26/4.14 ![X1176]: 24.26/4.14 (in( 24.26/4.14 X1176, 24.26/4.14 X1170) => 24.26/4.14 in( 24.26/4.14 X1174( 24.26/4.14 X1176), 24.26/4.14 X1172))) => 24.26/4.14 func( 24.26/4.14 X1170, 24.26/4.14 X1172, 24.26/4.14 lam( 24.26/4.14 X1170, 24.26/4.14 X1172, 24.26/4.14 ^[V_39]: 24.26/4.14 X1174( 24.26/4.14 V_39))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1178, 24.26/4.14 X1180, 24.26/4.14 X1182:( 24.26/4.14 ( 24.26/4.14 $i > $i))]: 24.26/4.14 (( 24.26/4.14 ![X1184]: 24.26/4.14 (in( 24.26/4.14 X1184, 24.26/4.14 X1178) => 24.26/4.14 in( 24.26/4.14 X1182( 24.26/4.14 X1184), 24.26/4.14 X1180))) => 24.26/4.14 in( 24.26/4.14 lam( 24.26/4.14 X1178, 24.26/4.14 X1180, 24.26/4.14 ^[V_40]: 24.26/4.14 X1182( 24.26/4.14 V_40)), 24.26/4.14 funcSet( 24.26/4.14 X1178, 24.26/4.14 X1180)))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1186, 24.26/4.14 X1188, 24.26/4.14 X1190]: 24.26/4.14 (subset( 24.26/4.14 X1190, 24.26/4.14 cartprod( 24.26/4.14 X1186, 24.26/4.14 X1188)) => 24.26/4.14 (![X1192:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (( 24.26/4.14 ![X1194]: 24.26/4.14 (in( 24.26/4.14 X1194, 24.26/4.14 X1186) => 24.26/4.14 (![X1196]: 24.26/4.14 (in( 24.26/4.14 X1196, 24.26/4.14 X1188) => 24.26/4.14 (in( 24.26/4.14 kpair( 24.26/4.14 X1194, 24.26/4.14 X1196), 24.26/4.14 X1190) => 24.26/4.14 X1192( 24.26/4.14 kpair( 24.26/4.14 X1194, 24.26/4.14 X1196))))))) => 24.26/4.14 (![X1198]: 24.26/4.14 (in( 24.26/4.14 X1198, 24.26/4.14 X1190) => 24.26/4.14 X1192( 24.26/4.14 X1198))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1200, 24.26/4.14 X1202, 24.26/4.14 X1204]: 24.26/4.14 (subset( 24.26/4.14 X1204, 24.26/4.14 cartprod( 24.26/4.14 X1200, 24.26/4.14 X1202)) => 24.26/4.14 (![X1206:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (( 24.26/4.14 ![X1208]: 24.26/4.14 (in( 24.26/4.14 X1208, 24.26/4.14 X1200) => 24.26/4.14 (![X1210]: 24.26/4.14 (in( 24.26/4.14 X1210, 24.26/4.14 X1202) => 24.26/4.14 (in( 24.26/4.14 kpair( 24.26/4.14 X1208, 24.26/4.14 X1210), 24.26/4.14 X1204) => 24.26/4.14 X1206( 24.26/4.14 kpair( 24.26/4.14 X1208, 24.26/4.14 X1210))))))) => 24.26/4.14 (![X1212]: 24.26/4.14 (in( 24.26/4.14 X1212, 24.26/4.14 X1204) => 24.26/4.14 X1206( 24.26/4.14 X1212))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1214, 24.26/4.14 X1216:( 24.26/4.14 ( 24.26/4.14 $i > $o))]: 24.26/4.14 (singleton( 24.26/4.14 dsetconstr( 24.26/4.14 X1214, 24.26/4.14 ^[V_41]: 24.26/4.14 X1216( 24.26/4.14 V_41))) => 24.26/4.14 (![X1218]: 24.26/4.14 (in( 24.26/4.14 X1218, 24.26/4.14 X1214) => 24.26/4.14 (![X1220]: 24.26/4.14 (in( 24.26/4.14 X1220, 24.26/4.14 X1214) => 24.26/4.14 (X1216( 24.26/4.14 X1218) => 24.26/4.14 (X1216( 24.26/4.14 X1220) => 24.26/4.14 (X1218 = 24.26/4.14 X1220))))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1222, 24.26/4.14 X1224, 24.26/4.14 X1226]: 24.26/4.14 (func( 24.26/4.14 X1222, 24.26/4.14 X1224, 24.26/4.14 X1226) => 24.26/4.14 (![X1228]: 24.26/4.14 (in( 24.26/4.14 X1228, 24.26/4.14 X1222) => 24.26/4.14 in( 24.26/4.14 kpair( 24.26/4.14 X1228, 24.26/4.14 ap( 24.26/4.14 X1222, 24.26/4.14 X1224, 24.26/4.14 X1226, 24.26/4.14 X1228)), 24.26/4.14 X1226))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1230, 24.26/4.14 X1232, 24.26/4.14 X1234]: 24.26/4.14 (in( 24.26/4.14 X1234, 24.26/4.14 funcSet( 24.26/4.14 X1230, 24.26/4.14 X1232)) => 24.26/4.14 (![X1236]: 24.26/4.14 (in( 24.26/4.14 X1236, 24.26/4.14 X1230) => 24.26/4.14 in( 24.26/4.14 kpair( 24.26/4.14 X1236, 24.26/4.14 ap( 24.26/4.14 X1230, 24.26/4.14 X1232, 24.26/4.14 X1234, 24.26/4.14 X1236)), 24.26/4.14 X1234))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1238, 24.26/4.14 X1240, 24.26/4.14 X1242]: 24.26/4.14 (func( 24.26/4.14 X1238, 24.26/4.14 X1240, 24.26/4.14 X1242) => 24.26/4.14 (![X1244]: 24.26/4.14 (in( 24.26/4.14 X1244, 24.26/4.14 X1238) => 24.26/4.14 (![X1246]: 24.26/4.14 (in( 24.26/4.14 X1246, 24.26/4.14 X1240) => 24.26/4.14 (in( 24.26/4.14 kpair( 24.26/4.14 X1244, 24.26/4.14 X1246), 24.26/4.14 X1242) => 24.26/4.14 (ap( 24.26/4.14 X1238, 24.26/4.14 X1240, 24.26/4.14 X1242, 24.26/4.14 X1244) = 24.26/4.14 X1246)))))))) => 24.26/4.14 ( 24.26/4.14 ( 24.26/4.14 ![X1248, 24.26/4.14 X1250, 24.26/4.14 X1252]: 24.26/4.14 (func( 24.26/4.14 X1248, 24.26/4.14 X1250, 24.26/4.14 X1252) => 24.26/4.14 (![X1254]: 24.26/4.14 (func( 24.26/4.14 X1248, 24.26/4.14 X1250, 24.26/4.14 X1254) => 24.26/4.14 (( 24.26/4.14 ![X1256]: 24.26/4.14 (in( 24.26/4.14 X1256, 24.26/4.14 X1248) => 24.26/4.14 (ap( 24.26/4.14 X1248, 24.26/4.14 X1250, 24.26/4.14 X1252, 24.26/4.14 X1256) = 24.26/4.14 ap( 24.26/4.14 X1248, 24.26/4.14 X1250, 24.26/4.14 X1254, 24.26/4.14 X1256)))) => 24.26/4.14 (![X1258]: 24.26/4.14 (in( 24.26/4.14 X1258, 24.26/4.14 X1248) => 24.26/4.14 (![X1260]: 24.26/4.14 (in( 24.48/4.14 X1260, 24.48/4.14 X1250) => 24.48/4.14 (in( 24.48/4.14 kpair( 24.48/4.14 X1258, 24.48/4.14 X1260), 24.48/4.14 X1254) => 24.48/4.14 in( 24.48/4.14 kpair( 24.48/4.14 X1258, 24.48/4.14 X1260), 24.48/4.14 X1252))))))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1262, 24.48/4.14 X1264, 24.48/4.14 X1266]: 24.48/4.14 (in( 24.48/4.14 X1266, 24.48/4.14 funcSet( 24.48/4.14 X1262, 24.48/4.14 X1264)) => 24.48/4.14 (![X1268]: 24.48/4.14 (in( 24.48/4.14 X1268, 24.48/4.14 X1262) => 24.48/4.14 (![X1270]: 24.48/4.14 (in( 24.48/4.14 X1270, 24.48/4.14 X1264) => 24.48/4.14 (in( 24.48/4.14 kpair( 24.48/4.14 X1268, 24.48/4.14 X1270), 24.48/4.14 X1266) => 24.48/4.14 (ap( 24.48/4.14 X1262, 24.48/4.14 X1264, 24.48/4.14 X1266, 24.48/4.14 X1268) = 24.48/4.14 X1270)))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1272, 24.48/4.14 X1274, 24.48/4.14 X1276]: 24.48/4.14 (subset( 24.48/4.14 X1276, 24.48/4.14 cartprod( 24.48/4.14 X1272, 24.48/4.14 X1274)) => 24.48/4.14 (![X1278]: 24.48/4.14 (subset( 24.48/4.14 X1278, 24.48/4.14 cartprod( 24.48/4.14 X1272, 24.48/4.14 X1274)) => 24.48/4.14 (( 24.48/4.14 ![X1280]: 24.48/4.14 (in( 24.48/4.14 X1280, 24.48/4.14 X1272) => 24.48/4.14 (![X1282]: 24.48/4.14 (in( 24.48/4.14 X1282, 24.48/4.14 X1274) => 24.48/4.14 (in( 24.48/4.14 kpair( 24.48/4.14 X1280, 24.48/4.14 X1282), 24.48/4.14 X1276) => 24.48/4.14 in( 24.48/4.14 kpair( 24.48/4.14 X1280, 24.48/4.14 X1282), 24.48/4.14 X1278)))))) => 24.48/4.14 subset( 24.48/4.14 X1276, 24.48/4.14 X1278)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1284, 24.48/4.14 X1286, 24.48/4.14 X1288]: 24.48/4.14 (subset( 24.48/4.14 X1288, 24.48/4.14 cartprod( 24.48/4.14 X1284, 24.48/4.14 X1286)) => 24.48/4.14 (![X1290]: 24.48/4.14 (subset( 24.48/4.14 X1290, 24.48/4.14 cartprod( 24.48/4.14 X1284, 24.48/4.14 X1286)) => 24.48/4.14 (( 24.48/4.14 ![X1292]: 24.48/4.14 (in( 24.48/4.14 X1292, 24.48/4.14 X1284) => 24.48/4.14 (![X1294]: 24.48/4.14 (in( 24.48/4.14 X1294, 24.48/4.14 X1286) => 24.48/4.14 (in( 24.48/4.14 kpair( 24.48/4.14 X1292, 24.48/4.14 X1294), 24.48/4.14 X1288) => 24.48/4.14 in( 24.48/4.14 kpair( 24.48/4.14 X1292, 24.48/4.14 X1294), 24.48/4.14 X1290)))))) => 24.48/4.14 (( 24.48/4.14 ![X1296]: 24.48/4.14 (in( 24.48/4.14 X1296, 24.48/4.14 X1284) => 24.48/4.14 (![X1298]: 24.48/4.14 (in( 24.48/4.14 X1298, 24.48/4.14 X1286) => 24.48/4.14 (in( 24.48/4.14 kpair( 24.48/4.14 X1296, 24.48/4.14 X1298), 24.48/4.14 X1290) => 24.48/4.14 in( 24.48/4.14 kpair( 24.48/4.14 X1296, 24.48/4.14 X1298), 24.48/4.14 X1288)))))) => 24.48/4.14 (X1288 = 24.48/4.14 X1290))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1300, 24.48/4.14 X1302, 24.48/4.14 X1304]: 24.48/4.14 (func( 24.48/4.14 X1300, 24.48/4.14 X1302, 24.48/4.14 X1304) => 24.48/4.14 (![X1306]: 24.48/4.14 (func( 24.48/4.14 X1300, 24.48/4.14 X1302, 24.48/4.14 X1306) => 24.48/4.14 (( 24.48/4.14 ![X1308]: 24.48/4.14 (in( 24.48/4.14 X1308, 24.48/4.14 X1300) => 24.48/4.14 (ap( 24.48/4.14 X1300, 24.48/4.14 X1302, 24.48/4.14 X1304, 24.48/4.14 X1308) = 24.48/4.14 ap( 24.48/4.14 X1300, 24.48/4.14 X1302, 24.48/4.14 X1306, 24.48/4.14 X1308)))) => 24.48/4.14 (X1304 = 24.48/4.14 X1306)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1310, 24.48/4.14 X1312, 24.48/4.14 X1314]: 24.48/4.14 (in( 24.48/4.14 X1314, 24.48/4.14 funcSet( 24.48/4.14 X1310, 24.48/4.14 X1312)) => 24.48/4.14 (![X1316]: 24.48/4.14 (in( 24.48/4.14 X1316, 24.48/4.14 funcSet( 24.48/4.14 X1310, 24.48/4.14 X1312)) => 24.48/4.14 (( 24.48/4.14 ![X1318]: 24.48/4.14 (in( 24.48/4.14 X1318, 24.48/4.14 X1310) => 24.48/4.14 (ap( 24.48/4.14 X1310, 24.48/4.14 X1312, 24.48/4.14 X1314, 24.48/4.14 X1318) = 24.48/4.14 ap( 24.48/4.14 X1310, 24.48/4.14 X1312, 24.48/4.14 X1316, 24.48/4.14 X1318)))) => 24.48/4.14 (X1314 = 24.48/4.14 X1316)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1320, 24.48/4.14 X1322, 24.48/4.14 X1324]: 24.48/4.14 (in( 24.48/4.14 X1324, 24.48/4.14 funcSet( 24.48/4.14 X1320, 24.48/4.14 X1322)) => 24.48/4.14 (![X1326]: 24.48/4.14 (in( 24.48/4.14 X1326, 24.48/4.14 X1320) => 24.48/4.14 (ap( 24.48/4.14 X1320, 24.48/4.14 X1322, 24.48/4.14 X1324, 24.48/4.14 X1326) = 24.48/4.14 ap( 24.48/4.14 X1320, 24.48/4.14 X1322, 24.48/4.14 X1324, 24.48/4.14 X1326)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1328, 24.48/4.14 X1330, 24.48/4.14 X1332]: 24.48/4.14 (func( 24.48/4.14 X1328, 24.48/4.14 X1330, 24.48/4.14 X1332) => 24.48/4.14 (![X1334]: 24.48/4.14 (in( 24.48/4.14 X1334, 24.48/4.14 X1328) => 24.48/4.14 (ap( 24.48/4.14 X1328, 24.48/4.14 X1330, 24.48/4.14 X1332, 24.48/4.14 X1334) = 24.48/4.14 ap( 24.48/4.14 X1328, 24.48/4.14 X1330, 24.48/4.14 X1332, 24.48/4.14 X1334)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1336, 24.48/4.14 X1338, 24.48/4.14 X1340:( 24.48/4.14 ( 24.48/4.14 $i > $i))]: 24.48/4.14 (( 24.48/4.14 ![X1342]: 24.48/4.14 (in( 24.48/4.14 X1342, 24.48/4.14 X1336) => 24.48/4.14 in( 24.48/4.14 X1340( 24.48/4.14 X1342), 24.48/4.14 X1338))) => 24.48/4.14 (![X1344]: 24.48/4.14 (in( 24.48/4.14 X1344, 24.48/4.14 X1336) => 24.48/4.14 (ap( 24.48/4.14 X1336, 24.48/4.14 X1338, 24.48/4.14 lam( 24.48/4.14 X1336, 24.48/4.14 X1338, 24.48/4.14 ^[V_42]: 24.48/4.14 X1340( 24.48/4.14 V_42)), 24.48/4.14 X1344) = 24.48/4.14 X1340( 24.48/4.14 X1344)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1346, 24.48/4.14 X1348, 24.48/4.14 X1350]: 24.48/4.14 (func( 24.48/4.14 X1346, 24.48/4.14 X1348, 24.48/4.14 X1350) => 24.48/4.14 (lam( 24.48/4.14 X1346, 24.48/4.14 X1348, 24.48/4.14 ^[V_43]: 24.48/4.14 ap( 24.48/4.14 X1346, 24.48/4.14 X1348, 24.48/4.14 X1350, 24.48/4.14 V_43)) = 24.48/4.14 X1350))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1352, 24.48/4.14 X1354, 24.48/4.14 X1356:( 24.48/4.14 ( 24.48/4.14 $i > $i))]: 24.48/4.14 (( 24.48/4.14 ![X1358]: 24.48/4.14 (in( 24.48/4.14 X1358, 24.48/4.14 X1352) => 24.48/4.14 in( 24.48/4.14 X1356( 24.48/4.14 X1358), 24.48/4.14 X1354))) => 24.48/4.14 (lam( 24.48/4.14 X1352, 24.48/4.14 X1354, 24.48/4.14 ^[V_44]: 24.48/4.14 X1356( 24.48/4.14 V_44)) = 24.48/4.14 lam( 24.48/4.14 X1352, 24.48/4.14 X1354, 24.48/4.14 ^[V_45]: 24.48/4.14 X1356( 24.48/4.14 V_45))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1360, 24.48/4.14 X1362, 24.48/4.14 X1364:( 24.48/4.14 ( 24.48/4.14 $i > $i))]: 24.48/4.14 (( 24.48/4.14 ![X1366]: 24.48/4.14 (in( 24.48/4.14 X1366, 24.48/4.14 X1360) => 24.48/4.14 in( 24.48/4.14 X1364( 24.48/4.14 X1366), 24.48/4.14 X1362))) => 24.48/4.14 (![X1368]: 24.48/4.14 (in( 24.48/4.14 X1368, 24.48/4.14 X1360) => 24.48/4.14 (ap( 24.48/4.14 X1360, 24.48/4.14 X1362, 24.48/4.14 lam( 24.48/4.14 X1360, 24.48/4.14 X1362, 24.48/4.14 ^[V_46]: 24.48/4.14 X1364( 24.48/4.14 V_46)), 24.48/4.14 X1368) = 24.48/4.14 X1364( 24.48/4.14 X1368)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1370, 24.48/4.14 X1372, 24.48/4.14 X1374]: 24.48/4.14 (in( 24.48/4.14 X1374, 24.48/4.14 funcSet( 24.48/4.14 X1370, 24.48/4.14 X1372)) => 24.48/4.14 (lam( 24.48/4.14 X1370, 24.48/4.14 X1372, 24.48/4.14 ^[V_47]: 24.48/4.14 ap( 24.48/4.14 X1370, 24.48/4.14 X1372, 24.48/4.14 X1374, 24.48/4.14 V_47)) = 24.48/4.14 X1374))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1376, 24.48/4.14 X1378:$o, 24.48/4.14 X1380]: 24.48/4.14 (in( 24.48/4.14 X1380, 24.48/4.14 X1376) => 24.48/4.14 (![X1382]: 24.48/4.14 (in( 24.48/4.14 X1382, 24.48/4.14 X1376) => 24.48/4.14 (( 24.48/4.14 ~X1378) => 24.48/4.14 in( 24.48/4.14 X1382, 24.48/4.14 dsetconstr( 24.48/4.14 X1376, 24.48/4.14 ^[V_48]: 24.48/4.14 (( 24.48/4.14 ( 24.48/4.14 V_48 = 24.48/4.14 X1382) & 24.48/4.14 ( 24.48/4.14 ~X1378)) | 24.48/4.14 (( 24.48/4.14 V_48 = 24.48/4.14 X1380) & 24.48/4.14 X1378))))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1384, 24.48/4.14 X1386:$o, 24.48/4.14 X1388]: 24.48/4.14 (in( 24.48/4.14 X1388, 24.48/4.14 X1384) => 24.48/4.14 (![X1390]: 24.48/4.14 (in( 24.48/4.14 X1390, 24.48/4.14 X1384) => 24.48/4.14 (( 24.48/4.14 ~X1386) => 24.48/4.14 (dsetconstr( 24.48/4.14 X1384, 24.48/4.14 ^[V_49]: 24.48/4.14 (( 24.48/4.14 ( 24.48/4.14 V_49 = 24.48/4.14 X1390) & 24.48/4.14 ( 24.48/4.14 ~X1386)) | 24.48/4.14 (( 24.48/4.14 V_49 = 24.48/4.14 X1388) & 24.48/4.14 X1386))) = 24.48/4.14 setadjoin( 24.48/4.14 X1390, 24.48/4.14 emptyset))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1392, 24.48/4.14 X1394:$o, 24.48/4.14 X1396]: 24.48/4.14 (in( 24.48/4.14 X1396, 24.48/4.14 X1392) => 24.48/4.14 (![X1398]: 24.48/4.14 (in( 24.48/4.14 X1398, 24.48/4.14 X1392) => 24.48/4.14 (X1394 => 24.48/4.14 in( 24.48/4.14 X1396, 24.48/4.14 dsetconstr( 24.48/4.14 X1392, 24.48/4.14 ^[V_50]: 24.48/4.14 (( 24.48/4.14 ( 24.48/4.14 V_50 = 24.48/4.14 X1398) & 24.48/4.14 ( 24.48/4.14 ~X1394)) | 24.48/4.14 (( 24.48/4.14 V_50 = 24.48/4.14 X1396) & 24.48/4.14 X1394))))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1400, 24.48/4.14 X1402:$o, 24.48/4.14 X1404]: 24.48/4.14 (in( 24.48/4.14 X1404, 24.48/4.14 X1400) => 24.48/4.14 (![X1406]: 24.48/4.14 (in( 24.48/4.14 X1406, 24.48/4.14 X1400) => 24.48/4.14 (X1402 => 24.48/4.14 (dsetconstr( 24.48/4.14 X1400, 24.48/4.14 ^[V_51]: 24.48/4.14 (( 24.48/4.14 ( 24.48/4.14 V_51 = 24.48/4.14 X1406) & 24.48/4.14 ( 24.48/4.14 ~X1402)) | 24.48/4.14 (( 24.48/4.14 V_51 = 24.48/4.14 X1404) & 24.48/4.14 X1402))) = 24.48/4.14 setadjoin( 24.48/4.14 X1404, 24.48/4.14 emptyset))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1408, 24.48/4.14 X1410:$o, 24.48/4.14 X1412]: 24.48/4.14 (in( 24.48/4.14 X1412, 24.48/4.14 X1408) => 24.48/4.14 (![X1414]: 24.48/4.14 (in( 24.48/4.14 X1414, 24.48/4.14 X1408) => 24.48/4.14 singleton( 24.48/4.14 dsetconstr( 24.48/4.14 X1408, 24.48/4.14 ^[V_52]: 24.48/4.14 (( 24.48/4.14 ( 24.48/4.14 V_52 = 24.48/4.14 X1414) & 24.48/4.14 ( 24.48/4.14 ~X1410)) | 24.48/4.14 (( 24.48/4.14 V_52 = 24.48/4.14 X1412) & 24.48/4.14 X1410)))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1416, 24.48/4.14 X1418:$o, 24.48/4.14 X1420]: 24.48/4.14 (in( 24.48/4.14 X1420, 24.48/4.14 X1416) => 24.48/4.14 (![X1422]: 24.48/4.14 (in( 24.48/4.14 X1422, 24.48/4.14 X1416) => 24.48/4.14 in( 24.48/4.14 if( 24.48/4.14 X1416, 24.48/4.14 X1418, 24.48/4.14 X1420, 24.48/4.14 X1422), 24.48/4.14 X1416))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1424]: 24.48/4.14 (singleton( 24.48/4.14 X1424) => 24.48/4.14 (![X1426]: 24.48/4.14 (in( 24.48/4.14 X1426, 24.48/4.14 X1424) => 24.48/4.14 (setunion( 24.48/4.14 X1424) = 24.48/4.14 X1426))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1428, 24.48/4.14 X1430:$o, 24.48/4.14 X1432]: 24.48/4.14 (in( 24.48/4.14 X1432, 24.48/4.14 X1428) => 24.48/4.14 (![X1434]: 24.48/4.14 (in( 24.48/4.14 X1434, 24.48/4.14 X1428) => 24.48/4.14 (X1430 => 24.48/4.14 (if( 24.48/4.14 X1428, 24.48/4.14 X1430, 24.48/4.14 X1432, 24.48/4.14 X1434) = 24.48/4.14 X1432)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1436, 24.48/4.14 X1438:$o, 24.48/4.14 X1440]: 24.48/4.14 (in( 24.48/4.14 X1440, 24.48/4.14 X1436) => 24.48/4.14 (![X1442]: 24.48/4.14 (in( 24.48/4.14 X1442, 24.48/4.14 X1436) => 24.48/4.14 (( 24.48/4.14 ~X1438) => 24.48/4.14 (if( 24.48/4.14 X1436, 24.48/4.14 X1438, 24.48/4.14 X1440, 24.48/4.14 X1442) = 24.48/4.14 X1442)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1444, 24.48/4.14 X1446:$o, 24.48/4.14 X1448]: 24.48/4.14 (in( 24.48/4.14 X1448, 24.48/4.14 X1444) => 24.48/4.14 (![X1450]: 24.48/4.14 (in( 24.48/4.14 X1450, 24.48/4.14 X1444) => 24.48/4.14 in( 24.48/4.14 if( 24.48/4.14 X1444, 24.48/4.14 X1446, 24.48/4.14 X1448, 24.48/4.14 X1450), 24.48/4.14 setadjoin( 24.48/4.14 X1448, 24.48/4.14 setadjoin( 24.48/4.14 X1450, 24.48/4.14 emptyset))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1452, 24.48/4.14 X1454]: 24.48/4.14 (in( 24.48/4.14 X1454, 24.48/4.14 powerset( 24.48/4.14 X1452)) => 24.48/4.14 (![X1456]: 24.48/4.14 (in( 24.48/4.14 X1456, 24.48/4.14 powerset( 24.48/4.14 X1452)) => 24.48/4.14 in( 24.48/4.14 binintersect( 24.48/4.14 X1454, 24.48/4.14 X1456), 24.48/4.14 powerset( 24.48/4.14 X1452)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1458, 24.48/4.14 X1460]: 24.48/4.14 (in( 24.48/4.14 X1460, 24.48/4.14 powerset( 24.48/4.14 X1458)) => 24.48/4.14 (![X1462]: 24.48/4.14 (in( 24.48/4.14 X1462, 24.48/4.14 powerset( 24.48/4.14 X1458)) => 24.48/4.14 in( 24.48/4.14 binunion( 24.48/4.14 X1460, 24.48/4.14 X1462), 24.48/4.14 powerset( 24.48/4.14 X1458)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1464, 24.48/4.14 X1466]: 24.48/4.14 (in( 24.48/4.14 X1466, 24.48/4.14 powerset( 24.48/4.14 X1464)) => 24.48/4.14 in( 24.48/4.14 powerset( 24.48/4.14 X1466), 24.48/4.14 powerset( 24.48/4.14 powerset( 24.48/4.14 X1464))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1468, 24.48/4.14 X1470]: 24.48/4.14 (in( 24.48/4.14 X1470, 24.48/4.14 powerset( 24.48/4.14 X1468)) => 24.48/4.14 (![X1472]: 24.48/4.14 (in( 24.48/4.14 X1472, 24.48/4.14 powerset( 24.48/4.14 X1468)) => 24.48/4.14 in( 24.48/4.14 setminus( 24.48/4.14 X1470, 24.48/4.14 X1472), 24.48/4.14 powerset( 24.48/4.14 X1468)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1474, 24.48/4.14 X1476]: 24.48/4.14 (in( 24.48/4.14 X1476, 24.48/4.14 powerset( 24.48/4.14 X1474)) => 24.48/4.14 in( 24.48/4.14 setminus( 24.48/4.14 X1474, 24.48/4.14 X1476), 24.48/4.14 powerset( 24.48/4.14 X1474)))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1478, 24.48/4.14 X1480]: 24.48/4.14 (in( 24.48/4.14 X1480, 24.48/4.14 powerset( 24.48/4.14 X1478)) => 24.48/4.14 (![X1482]: 24.48/4.14 (in( 24.48/4.14 X1482, 24.48/4.14 powerset( 24.48/4.14 X1478)) => 24.48/4.14 (( 24.48/4.14 ![X1484]: 24.48/4.14 (in( 24.48/4.14 X1484, 24.48/4.14 X1478) => 24.48/4.14 (in( 24.48/4.14 X1484, 24.48/4.14 X1480) => 24.48/4.14 in( 24.48/4.14 X1484, 24.48/4.14 X1482)))) => 24.48/4.14 (( 24.48/4.14 ![X1486]: 24.48/4.14 (in( 24.48/4.14 X1486, 24.48/4.14 X1478) => 24.48/4.14 (in( 24.48/4.14 X1486, 24.48/4.14 X1482) => 24.48/4.14 in( 24.48/4.14 X1486, 24.48/4.14 X1480)))) => 24.48/4.14 (X1480 = 24.48/4.14 X1482))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1488, 24.48/4.14 X1490]: 24.48/4.14 (in( 24.48/4.14 X1490, 24.48/4.14 powerset( 24.48/4.14 X1488)) => 24.48/4.14 (![X1492]: 24.48/4.14 (in( 24.48/4.14 X1492, 24.48/4.14 powerset( 24.48/4.14 X1488)) => 24.48/4.14 (( 24.48/4.14 ![X1494]: 24.48/4.14 (in( 24.48/4.14 X1494, 24.48/4.14 X1488) => 24.48/4.14 (in( 24.48/4.14 X1494, 24.48/4.14 X1490) => 24.48/4.14 in( 24.48/4.14 X1494, 24.48/4.14 X1492)))) => 24.48/4.14 subset( 24.48/4.14 X1490, 24.48/4.14 X1492)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1496, 24.48/4.14 X1498]: 24.48/4.14 (in( 24.48/4.14 X1498, 24.48/4.14 powerset( 24.48/4.14 X1496)) => 24.48/4.14 (![X1500]: 24.48/4.14 (in( 24.48/4.14 X1500, 24.48/4.14 powerset( 24.48/4.14 X1496)) => 24.48/4.14 (( 24.48/4.14 ![X1502]: 24.48/4.14 (in( 24.48/4.14 X1502, 24.48/4.14 X1496) => 24.48/4.14 (in( 24.48/4.14 X1502, 24.48/4.14 X1498) => 24.48/4.14 in( 24.48/4.14 X1502, 24.48/4.14 X1500)))) => 24.48/4.14 in( 24.48/4.14 X1498, 24.48/4.14 powerset( 24.48/4.14 X1500))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1504, 24.48/4.14 X1506]: 24.48/4.14 (in( 24.48/4.14 X1506, 24.48/4.14 powerset( 24.48/4.14 X1504)) => 24.48/4.14 (![X1508]: 24.48/4.14 (in( 24.48/4.14 X1508, 24.48/4.14 powerset( 24.48/4.14 X1504)) => 24.48/4.14 (![X1510]: 24.48/4.14 (in( 24.48/4.14 X1510, 24.48/4.14 X1504) => 24.48/4.14 (in( 24.48/4.14 X1506, 24.48/4.14 powerset( 24.48/4.14 X1508)) => 24.48/4.14 (in( 24.48/4.14 X1510, 24.48/4.14 X1506) => 24.48/4.14 in( 24.48/4.14 X1510, 24.48/4.14 X1508))))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1512, 24.48/4.14 X1514]: 24.48/4.14 (in( 24.48/4.14 X1514, 24.48/4.14 powerset( 24.48/4.14 X1512)) => 24.48/4.14 (![X1516]: 24.48/4.14 (in( 24.48/4.14 X1516, 24.48/4.14 X1512) => 24.48/4.14 (in( 24.48/4.14 X1516, 24.48/4.14 X1514) => 24.48/4.14 (~ 24.48/4.14 in( 24.48/4.14 X1516, 24.48/4.14 setminus( 24.48/4.14 X1512, 24.48/4.14 X1514)))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1518, 24.48/4.14 X1520]: 24.48/4.14 (in( 24.48/4.14 X1520, 24.48/4.14 powerset( 24.48/4.14 X1518)) => 24.48/4.14 (![X1522]: 24.48/4.14 (in( 24.48/4.14 X1522, 24.48/4.14 X1518) => 24.48/4.14 (( 24.48/4.14 ~ 24.48/4.14 in( 24.48/4.14 X1522, 24.48/4.14 setminus( 24.48/4.14 X1518, 24.48/4.14 X1520))) => 24.48/4.14 in( 24.48/4.14 X1522, 24.48/4.14 X1520)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1524, 24.48/4.14 X1526]: 24.48/4.14 (in( 24.48/4.14 X1526, 24.48/4.14 powerset( 24.48/4.14 X1524)) => 24.48/4.14 (![X1528]: 24.48/4.14 (in( 24.48/4.14 X1528, 24.48/4.14 powerset( 24.48/4.14 X1524)) => 24.48/4.14 (![X1530]: 24.48/4.14 (in( 24.48/4.14 X1530, 24.48/4.14 X1524) => 24.48/4.14 (( 24.48/4.14 ~ 24.48/4.14 in( 24.48/4.14 X1530, 24.48/4.14 X1526)) => 24.48/4.14 (~ 24.48/4.14 in( 24.48/4.14 X1530, 24.48/4.14 binintersect( 24.48/4.14 X1526, 24.48/4.14 X1528)))))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1532, 24.48/4.14 X1534]: 24.48/4.14 (in( 24.48/4.14 X1534, 24.48/4.14 powerset( 24.48/4.14 X1532)) => 24.48/4.14 (![X1536]: 24.48/4.14 (in( 24.48/4.14 X1536, 24.48/4.14 powerset( 24.48/4.14 X1532)) => 24.48/4.14 (![X1538]: 24.48/4.14 (in( 24.48/4.14 X1538, 24.48/4.14 X1532) => 24.48/4.14 (( 24.48/4.14 ~ 24.48/4.14 in( 24.48/4.14 X1538, 24.48/4.14 X1536)) => 24.48/4.14 (~ 24.48/4.14 in( 24.48/4.14 X1538, 24.48/4.14 binintersect( 24.48/4.14 X1534, 24.48/4.14 X1536)))))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1540, 24.48/4.14 X1542]: 24.48/4.14 (in( 24.48/4.14 X1542, 24.48/4.14 powerset( 24.48/4.14 X1540)) => 24.48/4.14 (![X1544]: 24.48/4.14 (in( 24.48/4.14 X1544, 24.48/4.14 powerset( 24.48/4.14 X1540)) => 24.48/4.14 (![X1546]: 24.48/4.14 (in( 24.48/4.14 X1546, 24.48/4.14 X1540) => 24.48/4.14 (subset( 24.48/4.14 X1542, 24.48/4.14 setminus( 24.48/4.14 X1540, 24.48/4.14 X1544)) => 24.48/4.14 (in( 24.48/4.14 X1546, 24.48/4.14 X1544) => 24.48/4.14 (~ 24.48/4.14 in( 24.48/4.14 X1546, 24.48/4.14 X1542)))))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1548, 24.48/4.14 X1550]: 24.48/4.14 (in( 24.48/4.14 X1550, 24.48/4.14 powerset( 24.48/4.14 X1548)) => 24.48/4.14 (![X1552]: 24.48/4.14 (in( 24.48/4.14 X1552, 24.48/4.14 powerset( 24.48/4.14 X1548)) => 24.48/4.14 (![X1554]: 24.48/4.14 (in( 24.48/4.14 X1554, 24.48/4.14 X1548) => 24.48/4.14 (subset( 24.48/4.14 X1550, 24.48/4.14 X1552) => 24.48/4.14 (( 24.48/4.14 ~ 24.48/4.14 in( 24.48/4.14 X1554, 24.48/4.14 X1552)) => 24.48/4.14 (~ 24.48/4.14 in( 24.48/4.14 X1554, 24.48/4.14 X1550)))))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1556, 24.48/4.14 X1558]: 24.48/4.14 (in( 24.48/4.14 X1558, 24.48/4.14 powerset( 24.48/4.14 X1556)) => 24.48/4.14 (![X1560]: 24.48/4.14 (in( 24.48/4.14 X1560, 24.48/4.14 powerset( 24.48/4.14 X1556)) => 24.48/4.14 (subset( 24.48/4.14 X1558, 24.48/4.14 X1560) => 24.48/4.14 subset( 24.48/4.14 setminus( 24.48/4.14 X1556, 24.48/4.14 X1560), 24.48/4.14 setminus( 24.48/4.14 X1556, 24.48/4.14 X1558))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1562, 24.48/4.14 X1564]: 24.48/4.14 (in( 24.48/4.14 X1564, 24.48/4.14 powerset( 24.48/4.14 X1562)) => 24.48/4.14 (![X1566]: 24.48/4.14 (in( 24.48/4.14 X1566, 24.48/4.14 powerset( 24.48/4.14 X1562)) => 24.48/4.14 (subset( 24.48/4.14 setminus( 24.48/4.14 X1562, 24.48/4.14 X1566), 24.48/4.14 setminus( 24.48/4.14 X1562, 24.48/4.14 X1564)) => 24.48/4.14 subset( 24.48/4.14 X1564, 24.48/4.14 X1566)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1568, 24.48/4.14 X1570]: 24.48/4.14 (in( 24.48/4.14 X1570, 24.48/4.14 powerset( 24.48/4.14 X1568)) => 24.48/4.14 (![X1572]: 24.48/4.14 (in( 24.48/4.14 X1572, 24.48/4.14 X1568) => 24.48/4.14 (in( 24.48/4.14 X1572, 24.48/4.14 X1570) => 24.48/4.14 in( 24.48/4.14 X1572, 24.48/4.14 setminus( 24.48/4.14 X1568, 24.48/4.14 setminus( 24.48/4.14 X1568, 24.48/4.14 X1570)))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1574, 24.48/4.14 X1576]: 24.48/4.14 (in( 24.48/4.14 X1576, 24.48/4.14 powerset( 24.48/4.14 X1574)) => 24.48/4.14 (![X1578]: 24.48/4.14 (in( 24.48/4.14 X1578, 24.48/4.14 X1574) => 24.48/4.14 (in( 24.48/4.14 X1578, 24.48/4.14 setminus( 24.48/4.14 X1574, 24.48/4.14 setminus( 24.48/4.14 X1574, 24.48/4.14 X1576))) => 24.48/4.14 in( 24.48/4.14 X1578, 24.48/4.14 X1576)))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1580, 24.48/4.14 X1582]: 24.48/4.14 (in( 24.48/4.14 X1582, 24.48/4.14 powerset( 24.48/4.14 X1580)) => 24.48/4.14 subset( 24.48/4.14 X1582, 24.48/4.14 setminus( 24.48/4.14 X1580, 24.48/4.14 setminus( 24.48/4.14 X1580, 24.48/4.14 X1582))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1584, 24.48/4.14 X1586]: 24.48/4.14 (in( 24.48/4.14 X1586, 24.48/4.14 powerset( 24.48/4.14 X1584)) => 24.48/4.14 subset( 24.48/4.14 setminus( 24.48/4.14 X1584, 24.48/4.14 setminus( 24.48/4.14 X1584, 24.48/4.14 X1586)), 24.48/4.14 X1586))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1588, 24.48/4.14 X1590]: 24.48/4.14 (in( 24.48/4.14 X1590, 24.48/4.14 powerset( 24.48/4.14 X1588)) => 24.48/4.14 (X1590 = 24.48/4.14 setminus( 24.48/4.14 X1588, 24.48/4.14 setminus( 24.48/4.14 X1588, 24.48/4.14 X1590))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1592, 24.48/4.14 X1594]: 24.48/4.14 (in( 24.48/4.14 X1594, 24.48/4.14 powerset( 24.48/4.14 X1592)) => 24.48/4.14 (![X1596]: 24.48/4.14 (in( 24.48/4.14 X1596, 24.48/4.14 powerset( 24.48/4.14 X1592)) => 24.48/4.14 (![X1598]: 24.48/4.14 (in( 24.48/4.14 X1598, 24.48/4.14 X1592) => 24.48/4.14 (in( 24.48/4.14 X1598, 24.48/4.14 setminus( 24.48/4.14 X1592, 24.48/4.14 X1594)) => 24.48/4.14 (~ 24.48/4.14 in( 24.48/4.14 X1598, 24.48/4.14 binintersect( 24.48/4.14 X1594, 24.48/4.14 X1596)))))))))) => 24.48/4.14 ( 24.48/4.14 ( 24.48/4.14 ![X1600, 24.48/4.14 X1602]: 24.48/4.14 (in( 24.48/4.14 X1602, 24.48/4.14 powerset( 24.48/4.14 X1600)) => 24.48/4.14 (![X1604]: 24.48/4.14 (in( 24.48/4.14 X1604, 24.48/4.14 powerset( 24.48/4.14 X1600)) => 24.48/4.14 (![X1606]: 24.48/4.14 (in( 24.48/4.15 X1606, 24.48/4.15 X1600) => 24.48/4.15 (in( 24.48/4.15 X1606, 24.48/4.15 setminus( 24.48/4.15 X1600, 24.48/4.15 X1602)) => 24.48/4.15 in( 24.48/4.15 X1606, 24.48/4.15 setminus( 24.48/4.15 X1600, 24.48/4.15 binintersect( 24.48/4.15 X1602, 24.48/4.15 X1604)))))))))) => 24.48/4.15 ( 24.48/4.15 ( 24.48/4.15 ![X1608, 24.48/4.15 X1610]: 24.48/4.15 (in( 24.48/4.15 X1610, 24.48/4.15 powerset( 24.48/4.15 X1608)) => 24.48/4.15 (![X1612]: 24.48/4.15 (in( 24.48/4.15 X1612, 24.48/4.15 powerset( 24.48/4.15 X1608)) => 24.48/4.15 subset( 24.48/4.15 setminus( 24.48/4.15 X1608, 24.48/4.15 X1610), 24.48/4.15 setminus( 24.48/4.15 X1608, 24.48/4.15 binintersect( 24.48/4.15 X1610, 24.48/4.15 X1612))))))) => 24.48/4.15 ( 24.48/4.15 ( 24.48/4.15 ![X1614, 24.48/4.15 X1616]: 24.48/4.15 (in( 24.48/4.15 X1616, 24.48/4.15 powerset( 24.48/4.15 X1614)) => 24.48/4.15 (![X1618]: 24.48/4.15 (in( 24.48/4.15 X1618, 24.48/4.15 powerset( 24.48/4.15 X1614)) => 24.48/4.15 in( 24.48/4.15 setminus( 24.48/4.15 X1614, 24.48/4.15 X1616), 24.48/4.15 powerset( 24.48/4.15 setminus( 24.48/4.15 X1614, 24.48/4.15 binintersect( 24.48/4.15 X1616, 24.48/4.15 X1618)))))))) => 24.48/4.15 ( 24.48/4.15 ( 24.48/4.15 ![X1620, 24.48/4.15 X1622]: 24.48/4.15 (in( 24.48/4.15 X1622, 24.48/4.15 powerset( 24.48/4.15 X1620)) => 24.48/4.15 (![X1624]: 24.48/4.15 (in( 24.48/4.15 X1624, 24.48/4.15 powerset( 24.48/4.15 X1620)) => 24.48/4.15 (subset( 24.48/4.15 X1622, 24.48/4.15 setminus( 24.48/4.15 X1620, 24.48/4.15 X1624)) => 24.48/4.15 (![X1626]: 24.48/4.15 (in( 24.48/4.15 X1626, 24.48/4.15 X1620) => 24.48/4.15 (in( 24.48/4.15 X1626, 24.48/4.15 X1624) => 24.48/4.15 in( 24.48/4.15 X1626, 24.48/4.15 setminus( 24.48/4.15 X1620, 24.48/4.15 X1622)))))))))) => 24.48/4.15 ( 24.48/4.15 ( 24.48/4.15 ![X1628, 24.48/4.15 X1630]: 24.48/4.15 (in( 24.48/4.15 X1630, 24.48/4.15 powerset( 24.48/4.15 X1628)) => 24.48/4.15 (![X1632]: 24.48/4.15 (in( 24.48/4.15 X1632, 24.48/4.15 powerset( 24.48/4.15 X1628)) => 24.48/4.15 (subset( 24.48/4.15 X1630, 24.48/4.15 setminus( 24.48/4.15 X1628, 24.48/4.15 X1632)) => 24.48/4.15 subset( 24.48/4.15 X1632, 24.48/4.15 setminus( 24.48/4.15 X1628, 24.48/4.15 X1630))))))) => 24.48/4.15 ( 24.48/4.15 ( 24.48/4.15 ![X1634, 24.48/4.15 X1636]: 24.48/4.15 (in( 24.48/4.15 X1636, 24.48/4.15 powerset( 24.48/4.15 X1634)) => 24.48/4.15 (![X1638]: 24.48/4.15 (in( 24.48/4.15 X1638, 24.48/4.15 powerset( 24.48/4.15 X1634)) => 24.48/4.15 (![X1640]: 24.48/4.15 (in( 24.48/4.15 X1640, 24.48/4.15 X1634) => 24.48/4.15 (( 24.48/4.15 ~ 24.48/4.15 in( 24.48/4.15 X1640, 24.48/4.15 binunion( 24.48/4.15 X1636, 24.48/4.15 X1638))) => 24.48/4.15 (~ 24.48/4.15 in( 24.48/4.15 X1640, 24.48/4.15 X1636))))))))) => 24.48/4.15 ( 24.48/4.15 ( 24.48/4.15 ![X1642, 24.48/4.15 X1644]: 24.48/4.15 (in( 24.48/4.15 X1644, 24.48/4.15 powerset( 24.48/4.15 X1642)) => 24.48/4.15 (![X1646]: 24.48/4.15 (in( 24.48/4.15 X1646, 24.48/4.15 powerset( 24.48/4.15 X1642)) => 24.48/4.15 (![X1648]: 24.48/4.15 (in( 24.48/4.15 X1648, 24.48/4.15 X1642) => 24.48/4.15 (( 24.48/4.15 ~ 24.48/4.15 in( 24.48/4.15 X1648, 24.48/4.15 binunion( 24.48/4.15 X1644, 24.48/4.15 X1646))) => 24.48/4.15 (~ 24.48/4.15 in( 24.48/4.15 X1648, 24.48/4.15 X1646))))))))) => 24.48/4.15 ( 24.48/4.15 ( 24.48/4.15 ![X1650, 24.48/4.15 X1652]: 24.48/4.15 (in( 24.48/4.15 X1652, 24.48/4.15 powerset( 24.48/4.15 X1650)) => 24.48/4.15 (![X1654]: 24.48/4.15 (in( 24.48/4.15 X1654, 24.48/4.15 powerset( 24.48/4.15 X1650)) => 24.48/4.15 (![X1656]: 24.48/4.15 (in( 24.48/4.15 X1656, 24.48/4.15 powerset( 24.48/4.15 X1650)) => 24.48/4.15 (![X1658]: 24.48/4.15 (in( 24.48/4.15 X1658, 24.48/4.15 X1650) => 24.48/4.15 (in( 24.48/4.15 X1658, 24.48/4.15 binintersect( 24.48/4.15 X1652, 24.48/4.15 X1654)) => 24.48/4.15 in( 24.48/4.15 X1658, 24.48/4.15 binunion( 24.48/4.15 X1652, 24.48/4.15 X1656))))))))))) => 24.48/4.15 ( 24.48/4.15 ( 24.48/4.15 ![X1660, 24.48/4.15 X1662]: 24.48/4.15 (in( 24.48/4.15 X1662, 24.48/4.15 powerset( 24.48/4.15 X1660)) => 24.48/4.15 (![X1664]: 24.48/4.15 (in( 24.48/4.15 X1664, 24.48/4.15 powerset( 24.48/4.15 X1660)) => 24.48/4.15 (![X1666]: 24.48/4.15 (in( 24.48/4.15 X1666, 24.48/4.15 powerset( 24.48/4.15 X1660)) => 24.48/4.15 (![X1668]: 24.48/4.15 (in( 24.48/4.15 X1668, 24.48/4.15 X1660) => 24.48/4.15 (in( 24.48/4.15 X1668, 24.48/4.15 binintersect( 24.48/4.15 X1662, 24.48/4.15 X1664)) => 24.48/4.15 in( 24.48/4.15 X1668, 24.48/4.15 binunion( 24.48/4.15 X1664, 24.48/4.15 X1666))))))))))) => 24.48/4.15 ( 24.48/4.15 ![X1670, 24.48/4.15 X1672]: 24.48/4.15 (in( 24.48/4.15 X1672, 24.48/4.15 powerset( 24.48/4.15 X1670)) => 24.48/4.15 (![X1674]: 24.48/4.15 (in( 24.48/4.15 X1674, 24.48/4.15 powerset( 24.48/4.15 X1670)) => 24.48/4.15 (![X1676]: 24.48/4.15 (in( 24.48/4.15 X1676, 24.48/4.15 powerset( 24.48/4.15 X1670)) => 24.48/4.15 (![X1678]: 24.48/4.15 (in( 24.48/4.15 X1678, 24.48/4.15 X1670) => 24.48/4.15 (in( 24.48/4.15 X1678, 24.48/4.15 binintersect( 24.48/4.15 X1672, 24.48/4.15 X1674)) => 24.48/4.15 in( 24.48/4.15 X1678, 24.48/4.15 binintersect( 24.48/4.15 binunion( 24.48/4.15 X1672, 24.48/4.15 X1676), 24.48/4.15 binunion( 24.48/4.15 X1674, 24.48/4.15 X1676)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 24.48/4.15 tff('268', plain, 24.48/4.15 ![X1476, X1477, X1478]: 24.48/4.15 ( in(X1476, X1477) | ~ in(X1476, binintersect(X1477, X1478))), 24.48/4.15 inference('cnf', [status(esa)], [zf_stmt_14])). 24.48/4.15 tff('269', plain, in(sk_X1678, binintersect(sk_X1672, sk_X1674)), 24.48/4.15 inference('cnf', [status(esa)], [zf_stmt_14])). 24.48/4.15 tff('270', plain, 24.48/4.15 ![X980, X981, X982]: ( in(X980, binunion(X981, X982)) | ~ in(X980, X981)), 24.48/4.15 inference('cnf', [status(esa)], [zf_stmt_14])). 24.48/4.15 tff('271', plain, 24.48/4.15 ![X1471, X1472, X1473]: 24.48/4.15 ( in(X1471, X1472) | ~ in(X1471, binintersect(X1473, X1472))), 24.48/4.15 inference('cnf', [status(esa)], [zf_stmt_14])). 24.48/4.15 tff('272', plain, 24.48/4.15 ![X1479, X1480, X1481]: 24.48/4.15 (~ in(X1479, X1480) 24.48/4.15 | in(X1479, binintersect(X1481, X1480)) 24.48/4.15 | ~ in(X1479, X1481)), 24.48/4.15 inference('cnf', [status(esa)], [zf_stmt_14])). 24.48/4.15 tff('273', plain, 24.48/4.15 ~ in(sk_X1678, 24.48/4.15 binintersect(binunion(sk_X1672, sk_X1676), 24.48/4.15 binunion(sk_X1674, sk_X1676))), 24.48/4.15 inference('cnf', [status(esa)], [zf_stmt_14])). 24.48/4.15 tff('274', plain, $false, 24.48/4.15 inference('eprover', [status(thm)], 24.48/4.15 ['268', '269', '270', '271', '272', '273'])). 24.48/4.15 24.48/4.15 % SZS output end Refutation 24.48/4.15 24.48/4.15 24.48/4.15 % Terminating... 24.48/4.17 % Runner terminated. 24.48/4.19 % Zipperpin 1.5 exiting 24.48/4.19 EOF