(scott_identity_continuity
(IMP_identity_continuity_TCC1 0
(IMP_identity_continuity_TCC1-1 nil 3353640334 3353640425
("" (lemma "scott_topology[T,le]" ) (("" (propax) nil nil )) nil )
proved
((scott_topology formula-decl nil scott nil )
(T formal-type-decl nil scott_identity_continuity nil )
(boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(pred type-eq-decl nil defined_types nil )
(directed_complete_partial_order? const-decl "bool" directed_orders
nil )
(le formal-const-decl "(directed_complete_partial_order?)"
scott_identity_continuity nil ))
35142 420 t nil ))
(id_scott_continuous 0
(id_scott_continuous-1 nil 3353640334 3353640363
("" (lemma "id_continuous" )
(("" (rewrite "scott_continuous_def" ) nil nil )) nil )
proved
((I const-decl "(bijective?[T, T])" identity nil )
(bijective? const-decl "bool" functions nil )
(scott_continuous_def formula-decl nil scott_continuity nil )
(id_continuous formula-decl nil identity_continuity "topology/" )
(T formal-type-decl nil scott_identity_continuity 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 )
(pred type-eq-decl nil defined_types nil )
(directed_complete_partial_order? const-decl "bool" directed_orders
nil )
(le formal-const-decl "(directed_complete_partial_order?)"
scott_identity_continuity nil )
(scott_open_sets const-decl "setofsets[T]" scott nil ))
26579 440 t nil )))
quality 100%
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