| Quellcodebibliothek Statistik Leitseite products/sources/formale Sprachen/Isabelle/Pure/Tools/ (Beweissystem Isabelle Version 2025-1©) Datei vom 16.11.2025 mit Größe 1 kB |
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Quelle test.prf Sprache: Lisp |
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(test (new_pi_bnds 0
(new_pi_bnds-1 nil 3394257208 ("" (lemma "pi_lemma") (("" (expand "cauchy_prop") (("" (inst - "210") (("" (eval-expr "2^210") (("" (eval-expr "cauchy_pi(210)") (("" (flatten) (("" (assert) nil nil)) nil)) nil)) nil)) nil)) nil)) nil) ((pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}" atan_approx "trig_fnd/") (posint_exp application-judgement "posint" exponentiation nil) (cauchy_prop const-decl "bool" cauchy nil) (TRUE const-decl "bool" booleans nil) (id const-decl "(bijective?[T, T])" identity nil) (bijective? const-decl "bool" functions nil) (= const-decl "[T, T -> boolean]" equalities nil) (OR const-decl "[bool, bool -> bool]" booleans nil) (/= const-decl "boolean" notequal nil) (^ const-decl "real" exponentiation nil) (real_lt_is_strict_total_order name-judgement "(strict_total_order?[real])" real_props nil) (int_minus_int_is_int application-judgement "int" integers nil) (posreal_times_posreal_is_posreal application-judgement "posreal" real_types nil) (int_plus_int_is_int application-judgement "int" integers nil) (posrat_div_posrat_is_posrat application-judgement "posrat" rationals nil) (cauchy_pi const-decl "cauchy_real" atanx nil) (cauchy_real nonempty-type-eq-decl nil cauchy nil) (cauchy_real? const-decl "bool" cauchy 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) (pi_lemma formula-decl nil atanx nil)) shostak)) (new_ln2_bnds 0 (new_ln2_bnds-1 nil 3394261090 ("" (lemma "cauchy_ln2_lemma") (("" (expand "cauchy_prop") (("" (inst - "210") (("" (eval-expr "2^210") (("" (eval-expr "cauchy_ln2(210)") (("" (flatten) (("" (assert) nil nil)) nil)) nil)) nil)) nil)) nil)) nil) ((posint_exp application-judgement "posint" exponentiation nil) (cauchy_prop const-decl "bool" cauchy nil) (TRUE const-decl "bool" booleans nil) (id const-decl "(bijective?[T, T])" identity nil) (bijective? const-decl "bool" functions nil) (= const-decl "[T, T -> boolean]" equalities nil) (OR const-decl "[bool, bool -> bool]" booleans nil) (/= const-decl "boolean" notequal nil) (^ const-decl "real" exponentiation nil) (real_lt_is_strict_total_order name-judgement "(strict_total_order?[real])" real_props nil) (int_minus_int_is_int application-judgement "int" integers nil) (real_times_real_is_real application-judgement "real" reals nil) (int_plus_int_is_int application-judgement "int" integers nil) (cauchy_ln2 const-decl "cauchy_posreal" log nil) (cauchy_posreal nonempty-type-eq-decl nil cauchy nil) (cauchy_posreal? const-decl "bool" cauchy 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) (cauchy_ln2_lemma formula-decl nil log nil)) shostak)) (new_e_bnds 0 (new_e_bnds-1 nil 3394258369 ("" (lemma "exp_lemma" ("x" "1" "cx" "cauchy_int(1)")) (("" (rewrite "int_lemma") (("" (expand "e") (("" (expand "cauchy_prop") (("" (inst -1 "210") (("" (eval-expr "2^210") (("" (eval-expr "cauchy_exp(cauchy_int(1))(210)") (("" (flatten) (("" (assert) nil nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil) ((int_lemma formula-decl nil int nil) (posint_exp application-judgement "posint" exponentiation nil) (cauchy_prop const-decl "bool" cauchy nil) (TRUE const-decl "bool" booleans nil) (id const-decl "(bijective?[T, T])" identity nil) (bijective? const-decl "bool" functions nil) (= const-decl "[T, T -> boolean]" equalities nil) (OR const-decl "[bool, bool -> bool]" booleans nil) (/= const-decl "boolean" notequal nil) (^ const-decl "real" exponentiation nil) (cauchy_exp_is_posreal application-judgement "cauchy_posreal" exp nil) (real_lt_is_strict_total_order name-judgement "(strict_total_order?[real])" real_props nil) (int_minus_int_is_int application-judgement "int" integers nil) (posreal_times_posreal_is_posreal application-judgement "posreal" real_types nil) (int_plus_int_is_int application-judgement "int" integers nil) (exp_1 formula-decl nil ln_exp "lnexp_fnd/") (cauchy_exp const-decl "[nat -> int]" exp nil) (e const-decl "posreal" ln_exp "lnexp_fnd/") (exp_lemma formula-decl nil exp 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) (cauchy_real? const-decl "bool" cauchy nil) (cauchy_real nonempty-type-eq-decl nil cauchy nil) (cauchy_int const-decl "cauchy_real" int nil)) shostak)) (new_sqrt2_bnds 0 (new_sqrt2_bnds-1 nil 3394259998 ("" (assert) (("" (lemma "sqrt_lemma" ("nnx" "2" "nncx" "cauchy_int(2)")) (("1" (rewrite "int_lemma") (("1" (expand "cauchy_prop") (("1" (inst - "210") (("1" (eval-expr "2^210") (("1" (eval-expr "cauchy_sqrt(cauchy_int(2))(210)") (("1" (flatten) (("1" (assert) nil nil)) nil)) nil)) nil)) nil)) nil)) nil) ("2" (hide 2) (("2" (expand "cauchy_nnreal?") (("2" (inst + "2") (("2" (rewrite "int_lemma") nil nil)) nil)) nil)) nil)) nil)) nil) ((nnreal type-eq-decl nil real_types nil) (cauchy_int const-decl "cauchy_real" int nil) (cauchy_real nonempty-type-eq-decl nil cauchy nil) (cauchy_real? const-decl "bool" cauchy nil) (cauchy_nnreal nonempty-type-eq-decl nil cauchy nil) (cauchy_nnreal? const-decl "bool" cauchy 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) (sqrt_lemma formula-decl nil sqrtx nil) (posint_exp application-judgement "posint" exponentiation nil) (cauchy_prop const-decl "bool" cauchy nil) (TRUE const-decl "bool" booleans nil) (id const-decl "(bijective?[T, T])" identity nil) (bijective? const-decl "bool" functions nil) (= const-decl "[T, T -> boolean]" equalities nil) (OR const-decl "[bool, bool -> bool]" booleans nil) (/= const-decl "boolean" notequal nil) (^ const-decl "real" exponentiation nil) (int_minus_int_is_int application-judgement "int" integers nil) (posreal_times_posreal_is_posreal application-judgement "posreal" real_types nil) (int_plus_int_is_int application-judgement "int" integers nil) (cauchy_sqrt const-decl "cauchy_nnreal" sqrtx nil) (int_lemma formula-decl nil int nil) (sqrt_pos application-judgement "posreal" sqrt "reals/") (real_lt_is_strict_total_order name-judgement "(strict_total_order?[real])" real_props nil)) shostak))) ¤ Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.0.17Bemerkung: (vorverarbeitet) ¤*© Formatika GbR, Deutschland |
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