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Datei: integral_mean_value.prf Sprache: Lisp

Original von: PVS^©

(integral_mean_value
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    (T formal-nonempty-subtype-decl nil integral_mean_value nil)
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    (deriv_domain? const-decl "bool" deriv_domain_def nil)
    (real_plus_real_is_real application-judgement "real" reals nil))
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(IMP_fundamental_theorem_TCC1 0
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   ("" (lemma "connected_domain") (("" (propax) nil nil)) nil)
   ((connected_domain formula-decl nil integral_mean_value nil)) nil))
(IMP_fundamental_theorem_TCC2 0
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(mean_value_integral_TCC1 0
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    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (continuous? const-decl "bool" continuous_functions nil)
    (not_one_element formula-decl nil integral_mean_value nil)
    (connected_domain formula-decl nil integral_mean_value nil))
   nil))
(mean_value_integral 0
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    (T_pred const-decl "[real -> boolean]" integral_mean_value nil)
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    (real_pred const-decl "[number_field -> boolean]" reals nil)
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    (deriv_domain? const-decl "bool" deriv_domain_def nil)
    (deriv const-decl "real" derivatives_def nil)
    (derivable? const-decl "bool" derivatives_def nil)
    (bool nonempty-type-eq-decl nil booleans nil)
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    (fundamental3 formula-decl nil fundamental_theorem nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (<= const-decl "bool" reals nil)
    (Open_interval type-eq-decl nil intervals_real "reals/")
    (b!1 skolem-const-decl "T" integral_mean_value nil)
    (c!1 skolem-const-decl "T" integral_mean_value nil)
    (a!1 skolem-const-decl "T" integral_mean_value nil)
    (< const-decl "bool" reals nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (deriv const-decl "[T -> real]" derivatives nil)
    (not_one_element formula-decl nil integral_mean_value nil)
    (deriv_domain formula-decl nil integral_mean_value nil)
    (real_minus_real_is_real application-judgement "real" reals nil))
   shostak))
(mvi_cor1_TCC1 0
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   ("" (skosimp*)
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              nil))
            nil))
          nil))
        nil)
       ("2" (assert)
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       ("3" (lemma "connected_domain")
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      nil))
    nil)
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    (T_pred const-decl "[real -> boolean]" integral_mean_value nil)
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    (continuous? const-decl "bool" continuous_functions nil)
    (not_one_element formula-decl nil integral_mean_value nil)
    (connected_domain formula-decl nil integral_mean_value nil))
   nil))
(mvi_cor1 0
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    (c!1 skolem-const-decl "Open_interval[T](a!1, b!1)"
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    (b!1 skolem-const-decl "T" integral_mean_value nil)
    (a!1 skolem-const-decl "T" integral_mean_value nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (Open_interval type-eq-decl nil intervals_real "reals/")
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    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
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    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
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    (= const-decl "[T, T -> boolean]" equalities nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (T formal-nonempty-subtype-decl nil integral_mean_value nil)
    (T_pred const-decl "[real -> boolean]" integral_mean_value 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))
   nil)))

¤ Dauer der Verarbeitung: 0.4 Sekunden (vorverarbeitet) ¤

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