(composition_uniform_continuity
(composition_uniform_continuity 0
(composition_uniform_continuity-1 nil 3383402472
("" (skosimp)
(("" (typepred "f!1")
(("" (typepred "g!1")
(("" (expand "uniform_continuous?")
(("" (expand "ball")
(("" (expand "member")
(("" (expand "o")
(("" (skosimp)
(("" (inst -2 "epsilon!1")
(("" (skosimp)
(("" (inst -1 "delta!1")
(("" (skosimp)
(("" (inst + "delta!2")
(("" (skosimp)
((""
(inst - "x!1" "x0!1")
((""
(inst - "g!1(x!1)" "g!1(x0!1)")
(("" (assert) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((uniform_continuous type-eq-decl nil metric_continuity nil)
(uniform_continuous? const-decl "bool" metric_continuity nil)
(d3 formal-const-decl "metric[T3]" composition_uniform_continuity
nil)
(d2 formal-const-decl "metric[T2]" composition_uniform_continuity
nil)
(metric nonempty-type-eq-decl nil metric_def nil)
(metric? const-decl "bool" metric_def nil)
(nnreal type-eq-decl nil real_types nil)
(>= const-decl "bool" reals 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)
(T3 formal-type-decl nil composition_uniform_continuity nil)
(T2 formal-type-decl nil composition_uniform_continuity nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(member const-decl "bool" sets nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(O const-decl "T3" function_props nil)
(ball const-decl "set[T]" metric_space_def nil)
(T1 formal-type-decl nil composition_uniform_continuity nil)
(d1 formal-const-decl "metric[T1]" composition_uniform_continuity
nil))
nil)))
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