(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))
nil))
nil)
((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)
(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)
(T formal-subtype-decl nil integral_def nil))
nil))
(integral_restrict_eq 0
(integral_restrict_eq-3 nil 3280252877
("" (skosimp*)
(("" (rewrite "integral_def")
(("" (typepred "integral(a!1, b!1, f!1)")
(("1" (expand "integral?")
(("1" (skosimp*)
(("1" (inst - "epsi!1")
(("1" (skosimp*)
(("1" (inst + "delta!1")
(("1" (skosimp*)
(("1" (inst - "P!1")
(("1" (assert)
(("1" (typepred "integral(a!1, b!1, f!1)")
(("1" (inst - "R!1")
(("1" (typepred "R!1")
(("1"
(hide 2)
(("1"
(expand "Riemann_sum?")
(("1"
(skosimp*)
(("1"
(inst + "xis!1")
(("1"
(assert)
(("1"
(replace -1)
(("1"
(expand "Rie_sum")
(("1"
(assert)
(("1"
(rewrite
"sigma_restrict_eq")
(("1"
(hide 2)
(("1"
(hide -1)
(("1"
(expand
"restrict")
(("1"
(apply-extensionality
:hide?
t)
(("1"
(inst
-
"xis!1(x!1)")
(("1"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide 2)
(("2"
(skosimp*)
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (propax) nil nil) ("3" (propax) nil nil))
nil))
nil))
nil)
((closed_interval type-eq-decl nil intervals_real "reals/")) nil)
(integral_restrict_eq-2 nil 3277652385
("" (skosimp*)
(("" (rewrite "integral_def")
(("" (typepred "integral(a!1, b!1, f!1)")
(("1" (expand "integral?")
(("1" (skosimp*)
(("1" (inst - "epsi!1")
(("1" (skosimp*)
(("1" (inst + "delta!1")
(("1" (skosimp*)
(("1" (inst - "P!1")
(("1" (assert)
(("1" (typepred "integral(a!1, b!1, f!1)")
(("1" (inst - "R!1")
(("1" (typepred "R!1")
(("1"
(hide 2)
(("1"
(expand "Riemann_sum?")
(("1"
(skosimp*)
(("1"
(inst + "xis!1")
(("1"
(assert)
(("1"
(replace -1)
(("1"
(expand "Rie_sum")
(("1"
(assert)
(("1"
(rewrite
"sigma_restrict_eq")
(("1"
(hide 2)
(("1"
(hide -1)
(("1"
(expand
"restrict")
(("1"
(apply-extensionality
:hide?
t)
(("1"
(inst
-
"xis!1`seq(x!1)")
(("1"
(assert)
nil
nil)
("2"
(hide 2)
(("2"
(typepred
"xis!1")
(("2"
(assert)
(("2"
(flatten)
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(skosimp*)
(("2"
(typepred
"xis!1")
(("2"
(assert)
(("2"
(flatten)
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide 2)
(("2"
(skosimp*)
(("2"
(assert)
(("2"
(typepred
"xis!1")
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil)
("3"
(hide 2)
(("3"
(skosimp*)
(("3"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (propax) nil nil) ("3" (propax) nil nil))
nil))
nil))
nil)
nil nil)
(integral_restrict_eq-1 nil 3262002842
("" (skosimp*)
(("" (rewrite "integral_def")
(("" (typepred "integral(a!1, b!1, f!1)")
(("1" (expand "is_integral")
(("1" (skosimp*)
(("1" (inst - "epsi!1")
(("1" (skosimp*)
(("1" (inst + "delta!1")
(("1" (skosimp*)
(("1" (inst - "P!1")
(("1" (assert)
(("1"
(name "RS1"
"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"
(replace -1)
(("1"
(case "RS1 = RS2")
(("1" (assert) nil nil)
("2"
(hide -3 -7 2)
(("2"
(replace -1 * rl)
(("2"
(hide -1)
(("2"
(replace -1 * rl)
(("2"
(hide -1)
(("2"
(expand "Riemann_sum")
(("2"
(rewrite
"sigma_restrict_eq")
(("1"
(hide 2)
(("1"
(expand "restrict")
(("1"
(apply-extensionality
1
:hide?
t)
(("1"
(lift-if)
(("1"
(ground)
(("1"
(inst?)
(("1"
(assert)
nil
nil))
nil))
nil))
nil)
("2"
(skosimp*)
(("2"
(assert)
(("2"
(typepred
"P!1")
(("2"
(inst?)
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil)
("3"
(skosimp*)
(("3"
(assert)
nil
nil))
nil))
nil))
nil))
nil)
("2"
(hide 2)
(("2"
(skosimp*)
(("2"
(assert)
(("2"
(typepred
"P!1")
(("2"
(inst?)
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil)
("3"
(hide 2)
(("3"
(skosimp*)
(("3"
(assert)
nil
nil))
nil))
nil)
("4"
(hide 2)
(("4"
(skosimp*)
(("4"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (propax) nil nil) ("3" (propax) nil nil))
nil))
nil))
nil)
nil nil))
(Integral_rew_TCC1 0
(Integral_rew_TCC1-1 nil 3610701217
("" (skosimp*)
(("" (lemma "Integrable?_rew")
(("" (inst?) (("" (assert) nil nil)) nil)) nil))
nil)
((Integrable?_rew formula-decl nil integral_def nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(T formal-subtype-decl nil integral_def nil)
(T_pred const-decl "[real -> boolean]" integral_def 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: 0.32 Sekunden
(vorverarbeitet)
¤
|
Haftungshinweis
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.
Bemerkung:
Die farbliche Syntaxdarstellung ist noch experimentell.
|