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Datei: vect_fun_ops.prf Sprache: Lisp

Original von: PVS^©

(vect_fun_ops
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  (caret_TCC1-1 nil 3403006068
   ("" (skosimp*) (("" (assert) nil nil)) nil)
   ((real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil))
   nil))
(diff_function 0
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    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (real nonempty-type-from-decl nil reals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (int nonempty-type-eq-decl nil integers nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (>= const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (< const-decl "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (n formal-const-decl "posnat" vect_fun_ops nil)
    (Index type-eq-decl nil vectors nil)
    (- const-decl "[Vector -> real]" vect_fun_ops nil)
    (+ const-decl "[Vector -> real]" vect_fun_ops nil)
    (- const-decl "[Vector -> real]" vect_fun_ops nil)
    (Vector type-eq-decl nil vectors nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (real_plus_real_is_real application-judgement "real" reals nil)
    (minus_real_is_real application-judgement "real" reals nil))
   nil))
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    (number_field_pred const-decl "[number -> boolean]" number_fields
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    (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)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (int nonempty-type-eq-decl nil integers nil)
    (bool nonempty-type-eq-decl nil booleans nil)
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    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (< const-decl "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (n formal-const-decl "posnat" vect_fun_ops nil)
    (Index type-eq-decl nil vectors nil)
    (/ const-decl "[Vector -> real]" vect_fun_ops nil)
    (* const-decl "[Vector -> real]" vect_fun_ops nil)
    (/ const-decl "[Vector -> real]" vect_fun_ops nil)
    (nzreal nonempty-type-eq-decl nil reals nil)
    (/= const-decl "boolean" notequal nil)
    (Vector type-eq-decl nil vectors nil)
    (real_div_nzreal_is_real application-judgement "real" reals nil)
    (real_times_real_is_real application-judgement "real" reals nil)
    (nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
     real_types nil))
   nil))
(scal_function 0
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    (("" (apply-extensionality :hide? t) (("" (grind) nil nil)) nil))
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    (boolean nonempty-type-decl nil booleans nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
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    (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)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (int nonempty-type-eq-decl nil integers nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (>= const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (< const-decl "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (n formal-const-decl "posnat" vect_fun_ops nil)
    (Index type-eq-decl nil vectors nil)
    (const_fun const-decl "[Vector -> real]" vect_fun_ops nil)
    (* const-decl "[Vector -> real]" vect_fun_ops nil)
    (* const-decl "[Vector -> real]" vect_fun_ops nil)
    (Vector type-eq-decl nil vectors nil)
    (real_times_real_is_real application-judgement "real" reals nil))
   nil))
(scaldiv_function 0
  (scaldiv_function-1 nil 3258969194
   ("" (skolem!)
    (("" (apply-extensionality :hide? t) (("" (grind) nil nil)) nil))
    nil)
   ((number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
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    (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)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (int nonempty-type-eq-decl nil integers nil)
    (bool nonempty-type-eq-decl nil booleans nil)
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    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (< const-decl "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (n formal-const-decl "posnat" vect_fun_ops nil)
    (Index type-eq-decl nil vectors nil)
    (const_fun const-decl "[Vector -> real]" vect_fun_ops nil)
    (/ const-decl "[Vector -> real]" vect_fun_ops nil)
    (/ const-decl "[Vector -> real]" vect_fun_ops nil)
    (nzreal nonempty-type-eq-decl nil reals nil)
    (/= const-decl "boolean" notequal nil)
    (Vector type-eq-decl nil vectors nil)
    (real_div_nzreal_is_real application-judgement "real" reals nil))
   nil))
(negneg_function 0
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   ("" (skolem!)
    (("" (auto-rewrite "-")
      (("" (apply-extensionality :hide? t) nil))))
    nil)
   ((Index type-eq-decl nil vectors nil)
    (n formal-const-decl "posnat" vect_fun_ops nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (< const-decl "bool" reals 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)
    (minus_real_is_real application-judgement "real" reals nil)
    (- const-decl "[Vector -> real]" vect_fun_ops nil)
    (Vector type-eq-decl nil vectors nil))
   nil)))

¤ Dauer der Verarbeitung: 0.25 Sekunden (vorverarbeitet) ¤

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