(isomorphism_symmetric
(isomorphism_symmetric 0
(isomorphism_symmetric-1 nil 3315073017
("" (expand * "isomorphic?" "isomorphism?" "symmetric?" )
(("" (skolem!)
(("" (prop)
(("1" (skolem-typepred)
(("1" (use "bijective_inverse_exists[T1, T2]" )
(("1" (expand "exists1" )
(("1" (flatten)
(("1" (skolem!)
(("1" (use "bij_inv_is_bij_alt[T1, T2]" )
(("1" (inst + "x!1" )
(("1" (skolem!)
(("1" (inst - "x!1(d1!1)" "x!1(d2!1)" )
(("1" (expand "inverse?" )
(("1" (inst-cp - "d2!1" )
(("1"
(inst - "d1!1" )
(("1"
(split)
(("1"
(split)
(("1" (ground) nil nil )
("2"
(expand *
"bijective?"
"surjective?" )
(("2"
(flatten)
(("2"
(inst -6 "d2!1" )
nil
nil ))
nil ))
nil ))
nil )
("2"
(expand *
"bijective?"
"surjective?" )
(("2"
(flatten)
(("2" (inst -6 "d1!1" ) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2" (skolem-typepred)
(("2" (use "bijective_inverse_exists[T2, T1]" )
(("2" (expand "exists1" )
(("2" (flatten)
(("2" (skolem!)
(("2" (use "bij_inv_is_bij_alt[T2, T1]" )
(("2" (inst + "x!1" )
(("2" (skolem!)
(("2" (inst - "x!1(d1!1)" "x!1(d2!1)" )
(("2" (expand "inverse?" )
(("2" (inst-cp - "d2!1" )
(("2"
(inst - "d1!1" )
(("2"
(split)
(("1"
(split)
(("1" (ground) nil nil )
("2"
(expand *
"bijective?"
"surjective?" )
(("2"
(flatten)
(("2"
(inst -6 "d2!1" )
nil
nil ))
nil ))
nil ))
nil )
("2"
(expand *
"bijective?"
"surjective?" )
(("2"
(flatten)
(("2" (inst -6 "d1!1" ) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((x!1 skolem-const-decl "[T1 -> T2]" isomorphism_symmetric nil )
(f!1 skolem-const-decl "(bijective?[T2, T1])" isomorphism_symmetric
nil )
(boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(T1 formal-type-decl nil isomorphism_symmetric nil )
(T2 formal-type-decl nil isomorphism_symmetric nil )
(bijective? const-decl "bool" functions nil )
(exists1 const-decl "bool" exists1 nil )
(surjective? const-decl "bool" functions nil )
(inverse? const-decl "bool" function_inverse_def nil )
(x!1 skolem-const-decl "[T2 -> T1]" isomorphism_symmetric nil )
(f!1 skolem-const-decl "(bijective?[T1, T2])" isomorphism_symmetric
nil )
(bij_inv_is_bij_alt formula-decl nil function_inverse_def nil )
(bijective_inverse_exists formula-decl nil function_inverse_def
nil )
(isomorphic? const-decl "bool" isomorphism nil )
(isomorphism? const-decl "bool" isomorphism nil ))
shostak)))
quality 100%
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