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Datei: real_intervals_aux.prf Sprache: Lisp

Original von: PVS^©

(directed_order_props
(directed_is_lub_set 0
  (directed_is_lub_set-1 nil 3352698192
   ("" (skosimp)
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    (nonempty? const-decl "bool" sets nil)
    (set type-eq-decl nil sets nil)
    (T formal-type-decl nil directed_order_props nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (pred type-eq-decl nil defined_types nil)
    (directed_complete_partial_order? const-decl "bool" directed_orders
     nil)
    (<= formal-const-decl "(directed_complete_partial_order?[T])"
        directed_order_props nil)
    (x!1 skolem-const-decl "directed" directed_order_props nil)
    (partial_order? const-decl "bool" orders nil)
    (directed? const-decl "bool" directed_orders nil)
    (directed_complete? const-decl "bool" directed_orders nil)
    (lub_set? const-decl "bool" bounded_order_props nil))
   nil))
(directed_singleton 0
  (directed_singleton-1 nil 3352695420
   ("" (expand "singleton")
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   ((directed? const-decl "bool" directed_order_props nil)
    (<= formal-const-decl "(directed_complete_partial_order?[T])"
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    (directed_complete_partial_order? const-decl "bool" directed_orders
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    (pred type-eq-decl nil defined_types nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (partial_order_reflexive formula-decl nil partial_order_props nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (boolean nonempty-type-decl nil booleans nil)
    (T formal-type-decl nil directed_order_props nil)
    (directed? const-decl "bool" directed_orders nil)
    (singleton const-decl "(singleton?)" sets nil))
   nil))
(intersection_directed_upper 0
  (intersection_directed_upper-1 nil 3352695648
   ("" (skosimp)
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          nil))
        nil))
      nil))
    nil)
   ((upper_set nonempty-type-eq-decl nil partial_order_props nil)
    (upper_set? const-decl "bool" partial_order_props nil)
    (<= formal-const-decl "(directed_complete_partial_order?[T])"
        directed_order_props nil)
    (directed_complete_partial_order? const-decl "bool" directed_orders
     nil)
    (pred type-eq-decl nil defined_types nil)
    (set type-eq-decl nil sets nil)
    (T formal-type-decl nil directed_order_props nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (member const-decl "bool" sets nil)
    (z!1 skolem-const-decl "(D!1)" directed_order_props nil)
    (D!1 skolem-const-decl "directed" directed_order_props nil)
    (U!1 skolem-const-decl "upper_set[T, <=]" directed_order_props nil)
    (intersection const-decl "set" sets nil)
    (directed? const-decl "bool" directed_orders nil)
    (directed type-eq-decl nil directed_order_props nil)
    (directed? const-decl "bool" directed_order_props nil)
    (nonempty? const-decl "bool" sets nil))
   shostak))
(split_directed_lower 0
  (split_directed_lower-1 nil 3352695791
   ("" (skosimp)
    (("" (expand "member")
      (("" (typepred "L!1")
        (("" (typepred "D!1")
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    nil)
   ((member const-decl "bool" sets nil)
    (nonempty? const-decl "bool" sets nil)
    (directed? const-decl "bool" directed_order_props nil)
    (directed type-eq-decl nil directed_order_props nil)
    (directed? const-decl "bool" directed_orders nil)
    (boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (T formal-type-decl nil directed_order_props nil)
    (set type-eq-decl nil sets nil)
    (pred type-eq-decl nil defined_types nil)
    (directed_complete_partial_order? const-decl "bool" directed_orders
     nil)
    (<= formal-const-decl "(directed_complete_partial_order?[T])"
        directed_order_props nil)
    (lower_set? const-decl "bool" partial_order_props nil)
    (lower_set nonempty-type-eq-decl nil partial_order_props nil))
   shostak))
(directed_union_lower 0
  (directed_union_lower-1 nil 3352695995
   ("" (skosimp)
    (("" (typepred "L1!1")
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                                                                       ("2"
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                    nil)
                   ("2" (expand "D2")
                    (("2" (hide-all-but (1 3))
                      (("2" (expand "difference")
                        (("2" (expand "nonempty?")
                          (("2" (expand "empty?")
                            (("2" (expand "subset?")
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                                (expand "member")
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                                  (skosimp*)
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                                    (inst - "x!1")
                                    (("2" (assert) nil nil))
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                  nil)
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    nil)
   ((lower_set nonempty-type-eq-decl nil partial_order_props nil)
    (lower_set? const-decl "bool" partial_order_props nil)
    (<= formal-const-decl "(directed_complete_partial_order?[T])"
        directed_order_props nil)
    (directed_complete_partial_order? const-decl "bool" directed_orders
     nil)
    (pred type-eq-decl nil defined_types nil)
    (set type-eq-decl nil sets nil)
    (T formal-type-decl nil directed_order_props nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (nonempty? const-decl "bool" sets nil)
    (directed? const-decl "bool" directed_order_props nil)
    (directed type-eq-decl nil directed_order_props nil)
    (empty? const-decl "bool" sets nil)
    (D2 skolem-const-decl "set[T]" directed_order_props nil)
    (subset? const-decl "bool" sets nil)
    (union const-decl "set" sets nil)
    (subset_is_partial_order name-judgement "(partial_order?[set[T]])"
     sets_lemmas nil)
    (union_lower_set application-judgement "lower_set[T, <=]"
     directed_order_props nil)
    (directed? const-decl "bool" directed_orders nil)
    (D1 skolem-const-decl "set[T]" directed_order_props nil)
    (member const-decl "bool" sets nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (difference const-decl "set" sets nil))
   shostak)))

¤ Dauer der Verarbeitung: 0.28 Sekunden (vorverarbeitet) ¤

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