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Datei: csequence_prefix_suffix.prf Sprache: Lisp

Original von: PVS^©

(csequence_prefix_suffix
(prefix_suffix_eta 0
  (prefix_suffix_eta-1 nil 3513622227
   ("" (induct "n")
    (("1" (skolem!)
      (("1" (expand* "prefix" "suffix")
        (("1" (rewrite "o_empty_left") nil nil)) nil))
      nil)
     ("2" (skosimp*)
      (("2" (expand "prefix" +)
        (("2" (expand "suffix" +)
          (("2" (lift-if)
            (("2" (rewrite "o_empty_left")
              (("2" (ground)
                (("2" (rewrite "o_add")
                  (("2" (decompose-equality)
                    (("2" (inst - "rest(cseq!1)") nil nil)) nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((first adt-accessor-decl "[(nonempty?) -> T]" csequence_codt nil)
    (rest adt-accessor-decl "[(nonempty?) -> csequence]" csequence_codt
          nil)
    (nonempty? adt-recognizer-decl "[csequence -> boolean]"
               csequence_codt nil)
    (o_add formula-decl nil csequence_concatenate nil)
    (csequence_add_extensionality formula-decl nil csequence_codt nil)
    (add adt-constructor-decl "[[T, csequence] -> (nonempty?)]"
     csequence_codt nil)
    (add_finite application-judgement "nonempty_finite_csequence[T]"
     csequence_prefix_suffix nil)
    (o_nonempty_left application-judgement "nonempty_csequence"
     csequence_prefix_suffix nil)
    (empty_cseq adt-constructor-decl "(empty?)" csequence_codt nil)
    (empty_csequence nonempty-type-eq-decl nil csequence_props nil)
    (empty? adt-recognizer-decl "[csequence -> boolean]" csequence_codt
     nil)
    (o_empty_left formula-decl nil csequence_concatenate nil)
    (nat_induction formula-decl nil naturalnumbers nil)
    (suffix def-decl "(LAMBDA (cseq1): suffix?(cseq1, cseq))"
     csequence_suffix nil)
    (suffix? inductive-decl "bool" csequence_suffix nil)
    (prefix def-decl "{fseq | prefix?(fseq, cseq)}" csequence_prefix
     nil)
    (prefix? coinductive-decl "bool" csequence_prefix nil)
    (finite_csequence nonempty-type-eq-decl nil csequence_props nil)
    (is_finite inductive-decl "bool" csequence_props nil)
    (O const-decl "csequence" csequence_concatenate nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (csequence type-decl nil csequence_codt nil)
    (T formal-type-decl nil csequence_prefix_suffix nil)
    (pred type-eq-decl nil defined_types nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (int nonempty-type-eq-decl nil integers nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil))
   shostak))
(prefix_suffix_extensionality 0
  (prefix_suffix_extensionality-1 nil 3513622296
   ("" (skosimp)
    (("" (lemma "prefix_suffix_eta")
      (("" (inst-cp - "cseq2!1" "n!1")
        (("" (inst - "cseq1!1" "n!1") (("" (assert) nil nil)) nil))
        nil))
      nil))
    nil)
   ((prefix_suffix_eta formula-decl nil csequence_prefix_suffix nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (int nonempty-type-eq-decl nil integers nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (csequence type-decl nil csequence_codt nil)
    (T formal-type-decl nil csequence_prefix_suffix nil))
   shostak)))

¤ Dauer der Verarbeitung: 0.0 Sekunden (vorverarbeitet) ¤

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