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Datei: scott_composition_continuity.prf Sprache: Lisp

Original von: PVS^©

(scott_composition_continuity
(IMP_composition_continuity_TCC1 0
  (IMP_composition_continuity_TCC1-1 nil 3353641502 3353641645
   ("" (assert) nil nil) proved nil 4548 280 t nil))
(IMP_composition_continuity_TCC2 0
  (IMP_composition_continuity_TCC2-1 nil 3353641502 3353641655
   ("" (assert) nil nil) proved nil 3733 290 t nil))
(IMP_composition_continuity_TCC3 0
  (IMP_composition_continuity_TCC3-1 nil 3353641502 3353641664
   ("" (assert) nil nil) proved nil 4352 280 t nil))
(composition_scott_continuous 0
  (composition_scott_continuous-1 nil 3353641502 3353641627
   ("" (skosimp)
    (("" (typepred "f!1")
      (("" (typepred "g!1")
        (("" (rewrite "scott_continuous_def" -1 :dir rl)
          (("" (rewrite "scott_continuous_def" -2 :dir rl)
            (("" (rewrite "scott_continuous_def" 1 :dir rl)
              ((""
                (lemma "composition_continuous" ("f" "f!1" "g" "g!1"))
                (("" (assert) nil nil)) nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   proved
   ((scott_continuous? const-decl "bool" scott_continuity nil)
    (le3 formal-const-decl "(directed_complete_partial_order?[T3])"
     scott_composition_continuity nil)
    (le2 formal-const-decl "(directed_complete_partial_order?[T2])"
     scott_composition_continuity nil)
    (directed_complete_partial_order? const-decl "bool" directed_orders
     nil)
    (pred type-eq-decl nil defined_types nil)
    (T3 formal-type-decl nil scott_composition_continuity nil)
    (T2 formal-type-decl nil scott_composition_continuity nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (scott_continuous_def formula-decl nil scott_continuity nil)
    (O const-decl "T3" function_props nil)
    (composition_continuous formula-decl nil composition_continuity
     "topology/")
    (setof type-eq-decl nil defined_types nil)
    (setofsets type-eq-decl nil sets nil)
    (scott_open_sets const-decl "setofsets[T]" scott nil)
    (T1 formal-type-decl nil scott_composition_continuity nil)
    (le1 formal-const-decl "(directed_complete_partial_order?[T1])"
     scott_composition_continuity nil))
   120165 2310 t nil)))

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