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products/Sources/formale Sprachen/PVS/examples/

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^© Kompilation durch diese Firma

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Datei: prooflite_examples.prf Sprache: Lisp

Original von: PVS^©

(prooflite_examples
(l1 0 (l1-1 nil 3566926079 ("" (grind) nil) nil shostak))
(l2 0
  (l2-1 nil 3566926079 ("" (then (skosimp) (grind)) nil)
   ((nzreal_times_nzreal_is_nzreal application-judgement "nzreal"
     real_types nil)
    (nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
     real_types nil))
   shostak))
(l3 0 (l3-1 nil 3566926079 ("" (grind) nil) nil shostak))
(l4 0
  (l4-1 nil 3566926079 ("" (grind) nil)
   ((nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
     real_types nil))
   shostak))
(l3a 0 (l3a-1 nil 3566926079 ("" (grind) nil) nil shostak))
(l4a 0
  (l4a-1 nil 3566926079 ("" (grind) nil)
   ((nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
     real_types nil))
   shostak))
(l_5_6 0
  (l_5_6-1 nil 3566926079
   (""
    (then (skip-msg "Proving Lemma: l_5_6") (inst 1 "5 + (6 - 5)/2")
     (grind))
    nil)
   ((rat_plus_rat_is_rat application-judgement "rat" rationals nil)
    (number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (real nonempty-type-from-decl nil reals nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (/= const-decl "boolean" notequal nil)
    (nznum nonempty-type-eq-decl nil number_fields nil)
    (/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (even_minus_odd_is_odd application-judgement "odd_int" integers
     nil)
    (nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
     nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil))
   shostak))
(l_6_7 0
  (l_6_7-1 nil 3566926079
   (""
    (then (skip-msg "Proving Lemma: l_6_7") (inst 1 "6 + (7 - 6)/2")
     (grind))
    nil)
   ((rat_plus_rat_is_rat application-judgement "rat" rationals nil)
    (number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (real nonempty-type-from-decl nil reals nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (/= const-decl "boolean" notequal nil)
    (nznum nonempty-type-eq-decl nil number_fields nil)
    (/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (odd_minus_even_is_odd application-judgement "odd_int" integers
     nil)
    (nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
     nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil))
   shostak))
(l_8 0
  (l_8-1 nil 3566926079
   ("" (then (skip-msg "Proving Lemma: l_8") (inst 1 "2" "6") (grind))
    nil)
   ((number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (real nonempty-type-from-decl nil reals nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (even_plus_even_is_even application-judgement "even_int" integers
     nil))
   shostak))
(l_9 0
  (l_9-1 nil 3566926079
   ("" (then (skip-msg "Proving Lemma: l_9") (inst 1 "4" "5") (grind))
    nil)
   ((number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (real nonempty-type-from-decl nil reals nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (even_plus_odd_is_odd application-judgement "odd_int" integers
     nil))
   shostak)))

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