(inverse_image_Union
(inverse_image_Union 0
(inverse_image_Union-1 nil 3389901218
("" (skosimp)
(("" (apply-extensionality :hide? t)
(("" (case-replace "inverse_image(f!1, Union(X!1))(x!1)" )
(("1" (expand "Union" )
(("1" (expand "inverse_image" )
(("1" (expand "member" )
(("1" (skosimp)
(("1" (typepred "a!1" )
(("1" (inst + "inverse_image(f!1,a!1)" )
(("1" (expand "inverse_image" )
(("1" (assert )
(("1" (expand "member" )
(("1" (propax) nil nil )) nil ))
nil ))
nil )
("2" (inst + "a!1" ) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2" (assert )
(("2" (expand "Union" -1)
(("2" (skosimp)
(("2" (typepred "a!1" )
(("2" (skosimp)
(("2" (replace -1)
(("2" (typepred "x!2" )
(("2" (expand "inverse_image" )
(("2" (expand "member" )
(("2" (expand "Union" )
(("2" (inst + "x!2" ) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((S formal-type-decl nil inverse_image_Union nil )
(boolean nonempty-type-decl nil booleans nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(Union const-decl "set" sets nil )
(setofsets type-eq-decl nil sets nil )
(setof type-eq-decl nil defined_types nil )
(inverse_image const-decl "set[D]" function_image nil )
(set type-eq-decl nil sets nil )
(bool nonempty-type-eq-decl nil booleans nil )
(T formal-type-decl nil inverse_image_Union nil )
(Union_surjective name-judgement
"(surjective?[setofsets[T], set[T]])" sets_lemmas nil )
(member const-decl "bool" sets nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(a!1 skolem-const-decl "(X!1)" inverse_image_Union nil )
(f!1 skolem-const-decl "[S -> T]" inverse_image_Union nil )
(X!1 skolem-const-decl "setofsets[T]" inverse_image_Union nil ))
shostak)))
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