(unif_cont_fun
(getem_scaf4 0
(getem_scaf4-1 nil 3324907658
("" (skosimp*)
((""
(inst 1
"(LAMBDA (j: posnat): choose({xy: [real,real] | P3!1(xy`1,xy`2,j)})`1)"
"(LAMBDA (j: posnat): choose({xy: [real,real] | P3!1(xy`1,xy`2,j)})`2)")
(("1" (skosimp*)
(("1" (inst -1 "k!1") (("1" (assert) nil nil)) nil)) nil)
("2" (skosimp*)
(("2" (expand "nonempty?")
(("2" (expand "empty?")
(("2" (expand "member")
(("2" (inst -2 "j!1")
(("2" (skosimp*) (("2" (inst -1 "(x!1,y!1)") nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((P3!1 skolem-const-decl "[[real, real, posnat] -> bool]"
unif_cont_fun nil)
(nonempty? const-decl "bool" sets nil)
(set type-eq-decl nil sets 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)
(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)
(choose const-decl "(p)" sets nil)
(member const-decl "bool" sets nil)
(empty? const-decl "bool" sets nil))
nil))
(unif_cont_interval 0
(unif_cont_interval-5 "FIX" 3447507474
("" (skosimp*)
(("" (assert)
(("" (flatten)
(("" (expand "uniformly_continuous?")
(("" (skosimp*)
((""
(case "EXISTS (N: posnat): FORALL (x, y: ({xx: T | a!1 <= xx AND xx <= b!1})):
abs(x - y) < 1/N IMPLIES abs(f!1(x) - f!1(y)) < epsi!1")
(("1" (skosimp*) (("1" (inst + "1/N!1") nil nil)) nil)
("2" (hide 2)
(("2"
(case "EXISTS (eps: posreal): FORALL (N: posnat):
EXISTS (x, y: ({xx: T | a!1 <= xx AND xx <= b!1})):
abs(x - y) < 1 / N AND abs(f!1(x) - f!1(y)) >= eps")
(("1" (skosimp*)
(("1" (hide 1)
(("1" (lemma "getem_scaf4")
(("1"
(inst -1
"(LAMBDA (x,y: real,n:posnat): abs(x - y) < 1 / n AND a!1 <= x AND x <= b!1 AND a!1 <= y AND y <= b!1 AND abs(f!1(x) - f!1(y)) >= eps!1)")
(("1" (split -1)
(("1" (hide -2)
(("1"
(skosimp*)
(("1"
(name
"A"
"(LAMBDA (kk: posnat): {xx: real | EXISTS (j: posnat): j >= kk AND xx = XX!1(j)})")
(("1"
(name
"alpha"
"(LAMBDA (kk: posnat): lub(A(kk)))")
(("1"
(name
"CC"
"glb({alphs: real | EXISTS (jj: posnat): alphs = alpha(jj)})")
(("1"
(case
"a!1 <= CC AND CC <= b!1")
(("1"
(flatten)
(("1"
(rewrite
"continuous_on_def")
(("1"
(inst -8 "CC")
(("1"
(expand "convergence")
(("1"
(flatten)
(("1"
(inst -9 "eps!1/2")
(("1"
(skosimp*)
(("1"
(expand
"extend")
(("1"
(case
"EXISTS (kk: posnat): CC <= alpha(kk) AND alpha(kk) < CC + delta!1/2 AND 1/kk < delta!1/2")
(("1"
(skosimp*)
(("1"
(case
"EXISTS (nn: posnat): alpha(kk!1) - delta!1/2 < XX!1(nn) AND XX!1(nn) <= alpha(kk!1) AND nn >= kk!1")
(("1"
(skosimp*)
(("1"
(inst
-12
"nn!1")
(("1"
(flatten)
(("1"
(case
"1/nn!1 < delta!1/2")
(("1"
(case
"CC - delta!1/2 <= XX!1(nn!1) AND XX!1(nn!1) <= CC + delta!1/2")
(("1"
(case
"CC - delta!1 < YY!1(nn!1) AND YY!1(nn!1) < CC + delta!1")
(("1"
(flatten)
(("1"
(lemma
"triangle")
(("1"
(inst
-1
"f!1(XX!1(nn!1)) -f!1(CC)"
"f!1(CC) - f!1(YY!1(nn!1))")
(("1"
(assert)
(("1"
(inst-cp
-26
"XX!1(nn!1)")
(("1"
(inst
-26
"YY!1(nn!1)")
(("1"
(split
-26)
(("1"
(split
-27)
(("1"
(hide
-4
-5
-7
-8
-9
-11)
(("1"
(case-replace
"abs(f!1(CC) - f!1(YY!1(nn!1))) = abs(f!1(YY!1(nn!1))-f!1(CC))")
(("1"
(assert)
nil
nil)
("2"
(hide-all-but
1)
(("2"
(grind)
nil
nil))
nil))
nil))
nil)
("2"
(propax)
nil
nil)
("3"
(propax)
nil
nil)
("4"
(hide-all-but
(-5
-6
1))
(("4"
(name-replace
"xxnn"
"XX!1(nn!1)")
(("4"
(grind)
nil
nil))
nil))
nil))
nil)
("2"
(propax)
nil
nil)
("3"
(propax)
nil
nil)
("4"
(hide-all-but
(-2
-3
1))
(("4"
(name-replace
"yynn"
"YY!1(nn!1)")
(("4"
(grind)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(lemma
"connected_domain")
(("2"
(expand
"connected?")
(("2"
(inst
-
"a!1"
"b!1"
"CC")
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide-all-but
(-1
-2
-14
1))
(("2"
(flatten)
(("2"
(grind)
nil
nil))
nil))
nil))
nil)
("2"
(assert)
(("2"
(hide-all-but
(-1
-2
-3
-5
-6
-7
-8
-9
1))
(("2"
(name-replace
"xxnn"
"XX!1(nn!1)")
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil)
("2"
(assert)
(("2"
(assert)
(("2"
(hide-all-but
(-3
-6
1))
(("2"
(case
"1/nn!1 <= 1/kk!1")
(("1"
(assert)
nil
nil)
("2"
(hide
-2
2)
(("2"
(cross-mult
1)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide
-9
-11
-12)
(("2"
(typepred
"lub(A(kk!1))")
(("1"
(expand
"least_upper_bound?")
(("1"
(flatten)
(("1"
(inst
-2
"alpha(kk!1)- delta!1 / 2")
(("1"
(split
-2)
(("1"
(assert)
(("1"
(replace
-9
-1
rl)
(("1"
(assert)
nil
nil))
nil))
nil)
("2"
(expand
"upper_bound?")
(("2"
(skosimp*)
(("2"
(typepred
"s!1")
(("2"
(replace
-10
-1
rl)
(("2"
(assert)
(("2"
(skosimp*)
(("2"
(inst
+
"j!1")
(("2"
(assert)
(("2"
(replace
-2)
(("2"
(hide
-2)
(("2"
(case
"CC <= XX!1(j!1)")
(("1"
(assert)
(("1"
(replace
-10
*
rl)
(("1"
(assert)
(("1"
(inst
-
"XX!1(j!1)")
nil
nil))
nil))
nil))
nil)
("2"
(inst
-
"XX!1(j!1)")
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide
2)
(("2"
(prop)
(("1"
(expand
"nonempty?")
(("1"
(expand
"empty?")
(("1"
(expand
"member")
(("1"
(replace
-9
-1
rl)
(("1"
(assert)
(("1"
(inst
-1
"XX!1(kk!1)")
(("1"
(inst
+
"kk!1")
(("1"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(expand
"bounded_above?")
(("2"
(inst
+
"b!1")
(("2"
(expand
"upper_bound?")
(("2"
(skosimp*)
(("2"
(typepred
"s!1")
(("2"
(replace
-9
-1
rl)
(("2"
(assert)
(("2"
(skosimp*)
(("2"
(reveal
-1)
(("2"
(inst
-1
"j!1")
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(typepred
"glb({alphs: real | EXISTS (jj: posnat): alphs = alpha(jj)})")
(("2"
(expand
"greatest_lower_bound?")
(("2"
(flatten)
(("2"
(expand
"lower_bound?")
(("2"
(replace
-5
-)
(("2"
(inst
-2
"CC+delta!1/2")
(("2"
(assert)
(("2"
(skosimp*)
(("2"
(typepred
"s!1")
(("2"
(skosimp*)
(("2"
(case
"FORALL (ii: posnat): ii >= jj!1 IMPLIES alpha(ii) <= alpha(jj!1)")
(("1"
(case
"(EXISTS (jk: posnat): jk >= jj!1 AND 1/jk < delta!1/2)")
(("1"
(skosimp*)
(("1"
(inst
2
"jk!1")
(("1"
(assert)
(("1"
(inst
-3
"jk!1")
(("1"
(assert)
(("1"
(inst
-5
"alpha(jk!1)")
(("1"
(assert)
(("1"
(inst
+
"jk!1")
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide-all-but
1)
(("2"
(lemma
"archimedean")
(("2"
(inst
-1
"delta!1/2")
(("2"
(skosimp*)
(("2"
(inst
+
"max(jj!1,n!1)")
(("2"
(expand
"max")
(("2"
(lift-if)
(("2"
(ground)
(("2"
(case
"1/jj!1 <= 1/n!1")
(("1"
(assert)
nil
nil)
("2"
(cross-mult
1)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide
-1
-2
-3
-4
-5
-10
-11
2
3)
(("2"
(skosimp*)
(("2"
(replace
-2
*
rl)
(("2"
(assert)
(("2"
(replace
-3
*
rl)
(("2"
(hide
-2
-3)
(("2"
(assert)
(("2"
(case
"(FORALL (A,B: (bounded_above?)): subset?(A,B) IMPLIES
lub(A) <= lub(B))")
(("1"
(inst?)
(("1"
(assert)
(("1"
(hide
2)
(("1"
(expand
"subset?")
(("1"
(expand
"member")
(("1"
(skosimp*)
(("1"
(inst
+
"j!1")
(("1"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide
2)
(("2"
(prop)
(("1"
(expand
"nonempty?")
(("1"
(expand
"empty?")
(("1"
(expand
"member")
(("1"
(inst
-1
"XX!1(jj!1)")
(("1"
(inst
+
"jj!1")
(("1"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(expand
"bounded_above?")
(("2"
(inst
+
"b!1")
(("2"
(expand
"upper_bound?")
(("2"
(skosimp*)
(("2"
(typepred
"s!2")
(("2"
--> --------------------
--> maximum size reached
--> --------------------
¤ Diese beiden folgenden Angebotsgruppen bietet das Unternehmen0.67Angebot
Wie Sie bei der Firma Beratungs- und Dienstleistungen beauftragen können
¤
|
schauen Sie vor die Tür
Fenster
Die Firma ist wie angegeben erreichbar.
Entwicklung einer Software für die statische Quellcodeanalyse
|