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Datei: chain.prf Sprache: Lisp

Original von: PVS^©

(chain
(chain_TCC1 0
  (chain_TCC1-1 nil 3314726953 ("" (subtype-tcc) nil nil)
   ((emptyset const-decl "set" sets nil)
    (set type-eq-decl nil sets nil) (T formal-type-decl nil chain nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (chain? const-decl "bool" chain nil)
    (total_order? const-decl "bool" orders nil)
    (dichotomous? const-decl "bool" orders nil)
    (restrict const-decl "R" restrict nil)
    (finite_emptyset name-judgement "finite_set" finite_sets nil)
    (partial_order_restrict application-judgement "(partial_order?[S])"
     restrict_order_props nil)
    (preorder_restrict application-judgement "(preorder?[S])"
     restrict_order_props nil)
    (transitive_restrict application-judgement "(transitive?[S])"
     restrict_order_props nil)
    (antisymmetric_restrict application-judgement "(antisymmetric?[S])"
     restrict_order_props nil)
    (reflexive_restrict application-judgement "(reflexive?[S])"
     restrict_order_props nil))
   nil))
(subset_chain 0
  (subset_chain-1 nil 3314726982 ("" (grind) nil nil)
   ((chain nonempty-type-eq-decl nil chain nil)
    (set type-eq-decl nil sets nil) (T formal-type-decl nil chain nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (ch!1 skolem-const-decl "chain" chain nil)
    (S!1 skolem-const-decl "set[T]" chain nil)
    (x!1 skolem-const-decl "(S!1)" chain nil)
    (y!1 skolem-const-decl "(S!1)" chain nil)
    (member const-decl "bool" sets nil)
    (subset? const-decl "bool" sets nil)
    (restrict const-decl "R" restrict nil)
    (dichotomous? const-decl "bool" orders nil)
    (total_order? const-decl "bool" orders nil)
    (chain? const-decl "bool" chain nil)
    (partial_order_restrict application-judgement "(partial_order?[S])"
     restrict_order_props nil)
    (preorder_restrict application-judgement "(preorder?[S])"
     restrict_order_props nil)
    (transitive_restrict application-judgement "(transitive?[S])"
     restrict_order_props nil)
    (antisymmetric_restrict application-judgement "(antisymmetric?[S])"
     restrict_order_props nil)
    (reflexive_restrict application-judgement "(reflexive?[S])"
     restrict_order_props nil))
   shostak))
(intersection_chain 0
  (intersection_chain-1 nil 3314726953 ("" (judgement-tcc) nil nil)
   ((chain nonempty-type-eq-decl nil chain nil)
    (set type-eq-decl nil sets nil) (T formal-type-decl nil chain nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (intersection const-decl "set" sets nil)
    (member const-decl "bool" sets nil)
    (ch1!1 skolem-const-decl "chain" chain nil)
    (ch2!1 skolem-const-decl "chain" chain nil)
    (x!1 skolem-const-decl "(intersection[T](ch1!1, ch2!1))" chain nil)
    (y!1 skolem-const-decl "(intersection[T](ch1!1, ch2!1))" chain nil)
    (chain? const-decl "bool" chain nil)
    (total_order? const-decl "bool" orders nil)
    (dichotomous? const-decl "bool" orders nil)
    (restrict const-decl "R" restrict nil)
    (partial_order_restrict application-judgement "(partial_order?[S])"
     restrict_order_props nil)
    (preorder_restrict application-judgement "(preorder?[S])"
     restrict_order_props nil)
    (transitive_restrict application-judgement "(transitive?[S])"
     restrict_order_props nil)
    (antisymmetric_restrict application-judgement "(antisymmetric?[S])"
     restrict_order_props nil)
    (reflexive_restrict application-judgement "(reflexive?[S])"
     restrict_order_props nil))
   nil))
(chain_order_partial 0
  (chain_order_partial-1 nil 3314726953 ("" (grind-with-ext) nil nil)
   ((reflexive_restrict application-judgement "(reflexive?[S])"
     restrict_order_props nil)
    (antisymmetric_restrict application-judgement "(antisymmetric?[S])"
     restrict_order_props nil)
    (transitive_restrict application-judgement "(transitive?[S])"
     restrict_order_props nil)
    (preorder_restrict application-judgement "(preorder?[S])"
     restrict_order_props nil)
    (partial_order_restrict application-judgement "(partial_order?[S])"
     restrict_order_props nil)
    (restrict const-decl "R" restrict nil)
    (dichotomous? const-decl "bool" orders nil)
    (total_order? const-decl "bool" orders nil)
    (x!1 skolem-const-decl "chain" chain nil)
    (x!2 skolem-const-decl "T" chain 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 chain nil) (set type-eq-decl nil sets nil)
    (chain? const-decl "bool" chain nil)
    (chain nonempty-type-eq-decl nil chain nil)
    (x!2 skolem-const-decl "T" chain nil)
    (y!1 skolem-const-decl "chain" chain nil)
    (member const-decl "bool" sets nil)
    (subset? const-decl "bool" sets nil)
    (chain_order const-decl "bool" chain nil)
    (reflexive? const-decl "bool" relations nil)
    (transitive? const-decl "bool" relations nil)
    (preorder? const-decl "bool" orders nil)
    (antisymmetric? const-decl "bool" relations nil)
    (partial_order? const-decl "bool" orders nil))
   nil)))

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