(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 )))
quality 94%
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