(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)))
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