| Quellcodebibliothek Statistik Leitseite products/sources/formale Sprachen/PVS/reals/ (Beweissystem der NASA Version 6.0.9©) Datei vom 28.9.2014 mit Größe 10 kB |
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Quelle product_upto.prf Sprache: Lisp |
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(product_upto
(IMP_product_TCC1 0 (IMP_product_TCC1-1 nil 3352460519 ("" (assuming-tcc) nil nil) ((boolean nonempty-type-decl nil booleans nil) (bool nonempty-type-eq-decl nil booleans nil) (NOT const-decl "[bool -> bool]" booleans nil) (number nonempty-type-decl nil numbers 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) (<= const-decl "bool" 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) (>= const-decl "bool" reals nil) (nat nonempty-type-eq-decl nil naturalnumbers nil) (N formal-const-decl "nat" product_upto nil) (upto nonempty-type-eq-decl nil nat_types nil) (integer nonempty-type-from-decl nil integers nil) (real_ge_is_total_order name-judgement "(total_order?[real])" real_props nil) (real_le_is_total_order name-judgement "(total_order?[real])" real_props nil)) nil)) (int_upto_T_high 0 (int_upto_T_high-1 nil 3352460519 ("" (judgement-tcc) nil nil) ((boolean nonempty-type-decl nil booleans nil) (bool nonempty-type-eq-decl nil booleans nil) (NOT const-decl "[bool -> bool]" booleans nil) (number nonempty-type-decl nil numbers 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) (<= const-decl "bool" 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) (>= const-decl "bool" reals nil) (nat nonempty-type-eq-decl nil naturalnumbers nil) (N formal-const-decl "nat" product_upto nil) (int_upto type-eq-decl nil product_upto nil) (real_ge_is_total_order name-judgement "(total_order?[real])" real_props nil) (real_le_is_total_order name-judgement "(total_order?[real])" real_props nil)) nil)) (nat_is_T_low 0 (nat_is_T_low-1 nil 3352460519 ("" (skosimp*) (("" (inst-cp + "0") (("1" (inst + "x!1") (("1" (assert) nil nil) ("2" (assert) nil nil)) nil) ("2" (assert) nil nil)) nil)) nil) ((real_le_is_total_order name-judgement "(total_order?[real])" real_props nil) (N formal-const-decl "nat" product_upto nil) (nat nonempty-type-eq-decl nil naturalnumbers nil) (>= const-decl "bool" reals 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) (<= const-decl "bool" reals nil) (bool nonempty-type-eq-decl nil booleans 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) (upto nonempty-type-eq-decl nil nat_types nil) (x!1 skolem-const-decl "nat" product_upto nil)) nil)) (product_first_ge_TCC1 0 (product_first_ge_TCC1-1 nil 3352460519 ("" (subtype-tcc) nil nil) nil nil)) (product_first_ge 0 (product_first_ge-1 nil 3352460519 ("" (skosimp*) (("" (rewrite "product_first") nil nil)) nil) ((product_first formula-decl nil product nil) (OR const-decl "[bool, bool -> bool]" booleans nil) (AND const-decl "[bool, bool -> bool]" booleans nil) (T_high type-eq-decl nil product nil) (T_low type-eq-decl nil product 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) (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) (N formal-const-decl "nat" product_upto nil) (upto nonempty-type-eq-decl nil nat_types nil)) nil)) (product_last_ge_TCC1 0 (product_last_ge_TCC1-1 nil 3352460519 ("" (subtype-tcc) nil nil) ((boolean nonempty-type-decl nil booleans nil) (bool nonempty-type-eq-decl nil booleans nil) (NOT const-decl "[bool -> bool]" booleans nil) (number nonempty-type-decl nil numbers 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) (<= const-decl "bool" 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) (>= const-decl "bool" reals nil) (nat nonempty-type-eq-decl nil naturalnumbers nil) (N formal-const-decl "nat" product_upto nil) (upto nonempty-type-eq-decl nil nat_types nil) (int_minus_int_is_int application-judgement "int" integers nil) (real_ge_is_total_order name-judgement "(total_order?[real])" real_props nil) (real_le_is_total_order name-judgement "(total_order?[real])" real_props nil)) nil)) (product_last_ge 0 (product_last_ge-1 nil 3352460519 ("" (skosimp*) (("" (rewrite "product_last") nil nil)) nil) ((product_last formula-decl nil product nil) (OR const-decl "[bool, bool -> bool]" booleans nil) (AND const-decl "[bool, bool -> bool]" booleans nil) (T_high type-eq-decl nil product nil) (T_low type-eq-decl nil product 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) (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) (N formal-const-decl "nat" product_upto nil) (upto nonempty-type-eq-decl nil nat_types nil)) nil)) (product_split_ge_TCC1 0 (product_split_ge_TCC1-1 nil 3352460519 ("" (skosimp*) (("" (inst + "high!1") (("" (assert) 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 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) (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) (N formal-const-decl "nat" product_upto nil) (upto nonempty-type-eq-decl nil nat_types nil) (real_le_is_total_order name-judgement "(total_order?[real])" real_props nil) (int_minus_int_is_int application-judgement "int" integers nil)) nil)) (product_split_ge_TCC2 0 (product_split_ge_TCC2-1 nil 3352460519 ("" (subtype-tcc) nil nil) nil nil)) (product_split_ge 0 (product_split_ge-1 nil 3352460519 ("" (skosimp*) (("" (rewrite "product_split") nil nil)) nil) ((product_split formula-decl nil product nil) (OR const-decl "[bool, bool -> bool]" booleans nil) (AND const-decl "[bool, bool -> bool]" booleans nil) (T_high type-eq-decl nil product nil) (T_low type-eq-decl nil product 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) (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) (N formal-const-decl "nat" product_upto nil) (upto nonempty-type-eq-decl nil nat_types nil)) nil)) (product_0_neg_TCC1 0 (product_0_neg_TCC1-1 nil 3403530936 ("" (subtype-tcc) nil nil) nil nil)) (product_0_neg 0 (product_0_neg-1 nil 3403530951 ("" (skosimp*) (("" (expand "product") (("" (propax) nil nil)) nil)) nil) ((product def-decl "real" product nil)) shostak))) ¤ Dauer der Verarbeitung: 0.16 Sekunden (vorverarbeitet) ¤*© Formatika GbR, Deutschland |
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2026-03-28