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Datei: complex_sqrt.prf   Sprache: Lisp

Original von: PVS©

(integral_def
 (integral_TCC1 0
  (integral_TCC1-1 nil 3253536795
   (""
    (inst +
     "(LAMBDA (d: [a: T, b: {x: T | a < x}, {f | integrable?(a, b, f)}]): choose({S: real | integral?(d`1, d`2, d`3, S)}))")
    (("" (skosimp*)
      (("" (typepred "d!1`3")
        (("" (expand "integrable?")
          (("" (expand "nonempty?")
            (("" (skosimp*)
              (("" (expand "empty?")
                (("" (expand "member") (("" (inst?) nil nil)) nil))
                nil))
              nil))
            nil))
          nil))
        nil))
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   ((member const-decl "bool" sets nil)
    (empty? const-decl "bool" sets nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (choose const-decl "(p)" sets nil)
    (nonempty? const-decl "bool" sets nil)
    (set type-eq-decl nil sets nil)
    (integral? const-decl "bool" integral_def nil)
    (integrable? const-decl "bool" integral_def nil)
    (< const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (T_pred const-decl "[real -> boolean]" integral_def nil)
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    (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)
    (T formal-subtype-decl nil integral_def nil))
   nil))
 (integral_restrict_eq 0
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                                                 ("2"
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                                                      (assert)
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                                                          (assert)
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                                                  nil)
                                                 ("3"
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                                                    (skosimp*)
                                                    (("3"
                                                      (assert)
                                                      nil
                                                      nil))
                                                    nil))
                                                  nil))
                                                nil))
                                              nil))
                                            nil))
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                                nil))
                              nil))
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          nil)
         ("2" (propax) nil nil) ("3" (propax) nil nil))
        nil))
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   ("" (skosimp*)
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          (("1" (skosimp*)
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              (("1" (skosimp*)
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                    (("1" (inst - "P!1")
                      (("1" (assert)
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                                "Riemann_sum(a!1, b!1, P!1, f!1)")
                          (("1" (replace -1)
                            (("1"
                              (name "RS2"
                                    "Riemann_sum(a!1, b!1, P!1, g!1)")
                              (("1"
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                                (("1"
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                                                              (assert)
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                                                            (typepred
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                                                              (inst?)
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                                                                (assert)
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                                                       ("3"
                                                        (skosimp*)
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                                                          (assert)
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                                                          (inst?)
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                                                      (assert)
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 (Integral_rew_TCC1 0
  (Integral_rew_TCC1-1 nil 3610701217
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      (("" (inst?) (("" (assertnil nil)) nil)) nil))
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    (real_lt_is_strict_total_order name-judgement
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    (real nonempty-type-from-decl nil reals nil)
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    (number_field nonempty-type-from-decl nil number_fields nil)
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     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil))
   nil)))


¤ Dauer der Verarbeitung: 0.32 Sekunden  (vorverarbeitet)  ¤





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