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Datei: relations_extra.prf Sprache: Lisp

Original von: PVS^©

(relations_extra
(strict_order_is_asymmetric 0
  (strict_order_is_asymmetric-1 nil 3314539726
   ("" (grind :if-match nil)
    (("" (inst - "x!2" "y!1" "x!2")
      (("" (assert) (("" (inst?) nil nil)) nil)) nil))
    nil)
   ((irreflexive? const-decl "bool" relations nil)
    (transitive? const-decl "bool" relations 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 relations_extra nil)
    (pred type-eq-decl nil defined_types nil)
    (strict_order? const-decl "bool" orders nil)
    (asymmetric? const-decl "bool" relations_extra nil))
   nil))
(asymmetric_is_antisymmetric 0
  (asymmetric_is_antisymmetric-1 nil 3314539726
   ("" (judgement-tcc) nil 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 relations_extra nil)
    (pred type-eq-decl nil defined_types nil)
    (asymmetric? const-decl "bool" relations_extra nil)
    (antisymmetric? const-decl "bool" relations nil))
   nil))
(asymmetric_is_irreflexive 0
  (asymmetric_is_irreflexive-1 nil 3314539726
   ("" (judgement-tcc) nil 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 relations_extra nil)
    (pred type-eq-decl nil defined_types nil)
    (asymmetric? const-decl "bool" relations_extra nil)
    (irreflexive? const-decl "bool" relations nil))
   nil))
(dichotomous_is_trichotomous 0
  (dichotomous_is_trichotomous-1 nil 3314539726
   ("" (judgement-tcc) nil 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 relations_extra nil)
    (pred type-eq-decl nil defined_types nil)
    (dichotomous? const-decl "bool" orders nil)
    (trichotomous? const-decl "bool" orders nil))
   nil))
(order_is_transitive 0
  (order_is_transitive-1 nil 3318180445
   ("" (skolem-typepred)
    (("" (expand "order?") (("" (flatten) nil nil)) nil)) nil)
   ((order? const-decl "bool" relations_extra nil)
    (pred type-eq-decl nil defined_types nil)
    (T formal-type-decl nil relations_extra nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   nil))
(order_is_antisymmetric 0
  (order_is_antisymmetric-1 nil 3318180445 ("" (judgement-tcc) nil 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 relations_extra nil)
    (pred type-eq-decl nil defined_types nil)
    (order? const-decl "bool" relations_extra nil)
    (transitive? const-decl "bool" relations nil)
    (antisymmetric? const-decl "bool" relations nil))
   nil))
(partial_order_is_order 0
  (partial_order_is_order-1 nil 3318180445 ("" (judgement-tcc) nil 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 relations_extra nil)
    (pred type-eq-decl nil defined_types nil)
    (partial_order? const-decl "bool" orders nil)
    (preorder? const-decl "bool" orders nil)
    (reflexive? const-decl "bool" relations nil)
    (transitive? const-decl "bool" relations nil)
    (antisymmetric? const-decl "bool" relations nil)
    (order? const-decl "bool" relations_extra nil))
   nil))
(strict_order_is_order 0
  (strict_order_is_order-1 nil 3318180445
   ("" (grind :if-match nil)
    (("" (inst - "x!2")
      (("" (inst - "x!2" "y!1" "x!2") (("" (assert) nil nil)) nil))
      nil))
    nil)
   ((irreflexive? const-decl "bool" relations 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 relations_extra nil)
    (pred type-eq-decl nil defined_types nil)
    (strict_order? const-decl "bool" orders nil)
    (order? const-decl "bool" relations_extra nil)
    (antisymmetric? const-decl "bool" relations nil)
    (transitive? const-decl "bool" relations nil))
   nil))
(total_order_is_linear 0
  (total_order_is_linear-1 nil 3318180445
   ("" (grind :if-match all) nil 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 relations_extra nil)
    (pred type-eq-decl nil defined_types nil)
    (total_order? const-decl "bool" orders nil)
    (dichotomous? const-decl "bool" orders nil)
    (partial_order? const-decl "bool" orders nil)
    (preorder? const-decl "bool" orders nil)
    (reflexive? const-decl "bool" relations nil)
    (transitive? const-decl "bool" relations nil)
    (antisymmetric? const-decl "bool" relations nil)
    (order? const-decl "bool" relations_extra nil)
    (trichotomous? const-decl "bool" orders nil)
    (linear_order? const-decl "bool" relations_extra nil))
   nil))
(strict_total_order_is_linear 0
  (strict_total_order_is_linear-1 nil 3318180445
   ("" (grind :if-match all) nil 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 relations_extra nil)
    (pred type-eq-decl nil defined_types nil)
    (strict_total_order? const-decl "bool" orders nil)
    (strict_order? const-decl "bool" orders nil)
    (irreflexive? const-decl "bool" relations nil)
    (transitive? const-decl "bool" relations nil)
    (antisymmetric? const-decl "bool" relations nil)
    (order? const-decl "bool" relations_extra nil)
    (trichotomous? const-decl "bool" orders nil)
    (linear_order? const-decl "bool" relations_extra nil))
   nil))
(reflexive 0
  (reflexive-1 nil 3318876242
   ("" (skolem-typepred)
    (("" (expand "reflexive?") (("" (propax) nil nil)) nil)) nil)
   ((reflexive? const-decl "bool" relations nil)
    (PRED type-eq-decl nil defined_types nil)
    (T formal-type-decl nil relations_extra nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   shostak))
(irreflexive 0
  (irreflexive-1 nil 3318876269
   ("" (skolem-typepred)
    (("" (expand "irreflexive?") (("" (propax) nil nil)) nil)) nil)
   ((irreflexive? const-decl "bool" relations nil)
    (PRED type-eq-decl nil defined_types nil)
    (T formal-type-decl nil relations_extra nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   shostak))
(symmetric 0
  (symmetric-1 nil 3318876272
   ("" (skolem-typepred)
    (("" (expand "symmetric?") (("" (propax) nil nil)) nil)) nil)
   ((symmetric? const-decl "bool" relations nil)
    (PRED type-eq-decl nil defined_types nil)
    (T formal-type-decl nil relations_extra nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   shostak))
(antisymmetric 0
  (antisymmetric-1 nil 3318876279
   ("" (skolem-typepred)
    (("" (expand "antisymmetric?") (("" (propax) nil nil)) nil)) nil)
   ((antisymmetric? const-decl "bool" relations nil)
    (PRED type-eq-decl nil defined_types nil)
    (T formal-type-decl nil relations_extra nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   shostak))
(asymmetric 0
  (asymmetric-1 nil 3318876283
   ("" (skolem-typepred)
    (("" (expand "asymmetric?") (("" (propax) nil nil)) nil)) nil)
   ((asymmetric? const-decl "bool" relations_extra nil)
    (pred type-eq-decl nil defined_types nil)
    (T formal-type-decl nil relations_extra nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   shostak))
(transitive 0
  (transitive-1 nil 3318876286
   ("" (skolem-typepred)
    (("" (expand "transitive?") (("" (propax) nil nil)) nil)) nil)
   ((transitive? const-decl "bool" relations nil)
    (PRED type-eq-decl nil defined_types nil)
    (T formal-type-decl nil relations_extra nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   shostak))
(dichotomous 0
  (dichotomous-1 nil 3318876303
   ("" (skolem-typepred)
    (("" (expand "dichotomous?") (("" (propax) nil nil)) nil)) nil)
   ((dichotomous? const-decl "bool" orders nil)
    (pred type-eq-decl nil defined_types nil)
    (T formal-type-decl nil relations_extra nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   shostak))
(trichotomous 0
  (trichotomous-1 nil 3318876327
   ("" (skolem-typepred)
    (("" (expand "trichotomous?") (("" (propax) nil nil)) nil)) nil)
   ((trichotomous? const-decl "bool" orders nil)
    (pred type-eq-decl nil defined_types nil)
    (T formal-type-decl nil relations_extra nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   shostak))
(well_founded 0
  (well_founded-1 nil 3318876333
   ("" (skolem-typepred)
    (("" (expand "well_founded?") (("" (propax) nil nil)) nil)) nil)
   ((well_founded? const-decl "bool" orders nil)
    (pred type-eq-decl nil defined_types nil)
    (T formal-type-decl nil relations_extra nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   shostak)))

¤ Dauer der Verarbeitung: 0.22 Sekunden (vorverarbeitet) ¤

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