|
(continuity_link
(IMP_metric_space_TCC1 0
(IMP_metric_space_TCC1-1 nil 3475299084
("" (expand "metric?")
(("" (expand "metric_zero?")
(("" (expand "metric_symmetric?")
(("" (expand "metric_triangle?") (("" (grind) nil nil)) nil))
nil))
nil))
nil)
((real_minus_real_is_real application-judgement "real" reals nil)
(metric_zero? const-decl "bool" metric_def nil)
(metric_triangle? const-decl "bool" metric_def nil)
(minus_odd_is_odd application-judgement "odd_int" integers nil)
(abs const-decl "{n: nonneg_real | n >= m AND n >= -m}" real_defs
nil)
(minus_real_is_real application-judgement "real" reals nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props 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)
(number nonempty-type-decl nil numbers nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(metric_symmetric? const-decl "bool" metric_def nil)
(metric? const-decl "bool" metric_def nil))
nil))
(IMP_metric_continuity_TCC1 0
(IMP_metric_continuity_TCC1-1 nil 3453303232
("" (expand "metric?")
(("" (split)
(("1" (expand "metric_zero?")
(("1" (skosimp)
(("1" (split)
(("1" (flatten) (("1" (grind) nil nil)) nil)
("2" (grind) nil nil))
nil))
nil))
nil)
("2" (expand "metric_symmetric?")
(("2" (skosimp) (("2" (grind) nil nil)) nil)) nil)
("3" (expand "metric_triangle?") (("3" (grind) nil nil)) nil))
nil))
nil)
((abs const-decl "{n: nonneg_real | n >= m AND n >= -m}" real_defs
nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(metric_zero? const-decl "bool" metric_def nil)
(real_minus_real_is_real application-judgement "real" reals nil)
(metric_symmetric? const-decl "bool" metric_def nil)
(minus_real_is_real application-judgement "real" reals nil)
(T formal-subtype-decl nil continuity_link nil)
(T_pred const-decl "[real -> boolean]" continuity_link 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)
(number nonempty-type-decl nil numbers nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(metric_triangle? const-decl "bool" metric_def nil)
(metric? const-decl "bool" metric_def nil))
nil))
(continuous_iff_continuous_at? 0
(continuous_iff_continuous_at?-1 nil 3453779339
("" (skosimp*)
(("" (expand "continuous?")
(("" (rewrite "metric_continuous_at_def")
(("" (expand "metric_continuous_at?")
(("" (expand "member")
(("" (expand "ball")
(("" (split)
(("1" (skosimp*)
(("1" (inst - "epsilon!1")
(("1" (skosimp)
(("1" (inst + "delta!1")
(("1" (skosimp)
(("1" (inst - "x!1")
(("1" (split)
(("1"
(hide -2)
(("1" (grind) nil nil))
nil)
("2"
(hide 2)
(("2" (grind) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (skosimp*)
(("2" (inst - "epsilon!1")
(("2" (skosimp)
(("2" (inst + "delta!1")
(("2" (skosimp)
(("2" (inst - "x!1")
(("2" (split)
(("1" (grind) nil nil)
("2" (grind) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((real_minus_real_is_real application-judgement "real" reals nil)
(continuous? const-decl "bool" continuous_functions "analysis/")
(metric_continuous_at? const-decl "bool" metric_continuity nil)
(ball const-decl "set[T]" metric_space_def nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(minus_real_is_real application-judgement "real" reals nil)
(> const-decl "bool" reals nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(member const-decl "bool" sets nil)
(- const-decl "[numfield, numfield -> numfield]" number_fields nil)
(abs const-decl "{n: nonneg_real | n >= m AND n >= -m}" real_defs
nil)
(- const-decl "[numfield -> numfield]" number_fields nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(>= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans nil)
(T formal-subtype-decl nil continuity_link nil)
(T_pred const-decl "[real -> boolean]" continuity_link 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)
(metric_continuous_at_def formula-decl nil metric_continuity nil))
shostak))
(continuous_iff_continuous? 0
(continuous_iff_continuous?-1 nil 3453303114
("" (skosimp)
(("" (expand "continuous?")
(("" (split)
(("1" (flatten)
(("1" (skosimp)
(("1" (inst - "x!1")
(("1" (rewrite "continuous_iff_continuous_at?") nil nil))
nil))
nil))
nil)
("2" (skosimp*)
(("2" (inst - "x0!1")
(("2" (rewrite "continuous_iff_continuous_at?") nil nil))
nil))
nil))
nil))
nil))
nil)
((continuous? const-decl "bool" continuity_def "topology/")
(continuous? const-decl "bool" continuous_functions "analysis/")
(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)
(T_pred const-decl "[real -> boolean]" continuity_link nil)
(T formal-subtype-decl nil continuity_link nil)
(continuous_iff_continuous_at? formula-decl nil continuity_link
nil))
shostak)))
¤ Dauer der Verarbeitung: 0.2 Sekunden
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