(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)))
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