(identity_continuity
(id_continuous_at 0
(id_continuous_at-1 nil 3301762820
("" (expand "continuous_at?" )
(("" (expand "neighbourhood?" )
(("" (expand "interior_point?" )
(("" (expand "subset?" )
(("" (skosimp*)
(("" (assert )
(("" (expand "I" )
(("" (expand "inverse_image" )
(("" (assert )
(("" (typepred "U!2" )
(("" (inst + "U!2" ) (("" (assert ) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((neighbourhood? const-decl "bool" topology nil )
(subset? const-decl "bool" sets nil )
(member const-decl "bool" sets nil )
(inverse_image const-decl "set[D]" function_image nil )
(open nonempty-type-eq-decl nil topology nil )
(open? const-decl "bool" topology nil )
(S formal-const-decl "topology" identity_continuity nil )
(topology nonempty-type-eq-decl nil topology_prelim nil )
(topology? const-decl "bool" topology_prelim nil )
(setofsets type-eq-decl nil sets nil )
(setof type-eq-decl nil defined_types nil )
(set type-eq-decl nil sets nil )
(T formal-type-decl nil identity_continuity nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(boolean nonempty-type-decl nil booleans nil )
(I const-decl "(bijective?[T, T])" identity nil )
(interior_point? const-decl "bool" topology nil )
(continuous_at? const-decl "bool" continuity_def nil ))
shostak))
(id_continuous 0
(id_continuous-1 nil 3301762791
("" (expand "continuous?" )
(("" (lemma "id_continuous_at" ) (("" (propax) nil nil )) nil )) nil )
((id_continuous_at formula-decl nil identity_continuity nil )
(continuous? const-decl "bool" continuity_def nil ))
shostak))
(I_is_continuous 0
(I_is_continuous-1 nil 3454592304 ("" (judgement-tcc) nil nil )
((I const-decl "(bijective?[T, T])" identity nil )
(member const-decl "bool" sets nil )
(subset? const-decl "bool" sets nil )
(S formal-const-decl "topology" identity_continuity nil )
(topology nonempty-type-eq-decl nil topology_prelim nil )
(topology? const-decl "bool" topology_prelim nil )
(setofsets type-eq-decl nil sets nil )
(setof type-eq-decl nil defined_types nil )
(bool nonempty-type-eq-decl nil booleans nil )
(boolean nonempty-type-decl nil booleans nil )
(T formal-type-decl nil identity_continuity nil )
(interior_point? const-decl "bool" topology nil )
(neighbourhood? const-decl "bool" topology nil )
(inverse_image const-decl "set[D]" function_image nil )
(continuous_at? const-decl "bool" continuity_def nil )
(continuous? const-decl "bool" continuity_def nil ))
nil )))
quality 100%
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