(hausdorff_borel
(singleton_is_borel 0
(singleton_is_borel-1 nil 3384849802
("" (skosimp)
(("" (assert )
(("" (lemma "closed_is_borel" ("Y" "singleton(x!1)" ))
(("" (propax) nil nil )) nil ))
nil ))
nil )
((singleton_is_compact application-judgement "compact[T, S]"
hausdorff_borel nil )
(nonempty_singleton_finite application-judgement
"non_empty_finite_set[T]" countable_props "sets_aux/" )
(closed_is_borel formula-decl nil borel nil )
(set type-eq-decl nil sets nil )
(closed? const-decl "bool" topology "topology/" )
(closed nonempty-type-eq-decl nil topology "topology/" )
(singleton? const-decl "bool" sets nil )
(singleton const-decl "(singleton?)" sets nil )
(T formal-type-decl nil hausdorff_borel nil )
(boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(setof type-eq-decl nil defined_types nil )
(setofsets type-eq-decl nil sets nil )
(hausdorff_space? const-decl "bool" topology_prelim "topology/" )
(hausdorff nonempty-type-eq-decl nil topology_prelim "topology/" )
(S formal-const-decl "hausdorff" hausdorff_borel nil ))
shostak)))
quality 100%
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