(function_image_nonempty
(nonempty_image 0
(nonempty_image-1 nil 3368875322
("" (skosimp*)
(("" (typepred "S!1" )
(("" (rewrite "nonempty_exists" )
(("" (rewrite "nonempty_exists" )
(("" (skosimp*)
(("" (inst + "f!1(x!1)" )
(("" (expand "image" ) (("" (inst + "x!1" ) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((nonempty? const-decl "bool" sets nil )
(set type-eq-decl nil sets nil )
(D formal-type-decl nil function_image_nonempty nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(boolean nonempty-type-decl nil booleans nil )
(image const-decl "set[R]" function_image nil )
(R formal-type-decl nil function_image_nonempty nil )
(x!1 skolem-const-decl "(S!1)" function_image_nonempty nil )
(S!1 skolem-const-decl "(nonempty?[D])" function_image_nonempty
nil )
(f!1 skolem-const-decl "[D -> R]" function_image_nonempty nil )
(nonempty_exists formula-decl nil sets_lemmas nil ))
nil ))
(nonempty_finite_image 0
(nonempty_finite_image-2 nil 3368875625
("" (skosimp*)
(("" (use "nonempty_image" )
(("" (expand "nonempty?" ) (("" (propax) nil nil )) nil )) nil ))
nil )
((nonempty_image judgement-tcc nil function_image_nonempty nil )
(R formal-type-decl nil function_image_nonempty nil )
(non_empty_finite_set type-eq-decl nil finite_sets nil )
(empty? const-decl "bool" sets nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(finite_set type-eq-decl nil finite_sets nil )
(is_finite const-decl "bool" finite_sets nil )
(nonempty? const-decl "bool" sets nil )
(set type-eq-decl nil sets nil )
(bool nonempty-type-eq-decl nil booleans nil )
(boolean nonempty-type-decl nil booleans nil )
(D formal-type-decl nil function_image_nonempty nil )
(nonempty_image application-judgement "(nonempty?[R])"
function_image_nonempty nil )
(finite_image application-judgement "finite_set[R]"
function_image_aux nil ))
nil )
(nonempty_finite_image-1 nil 3368875322 ("" (judgement-tcc) nil nil )
nil nil )))
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