fact: Definition uniform_continuity (f:R -> R) (X:R -> Prop) : Prop := forall eps:posreal, exists delta : posreal, (forall x y:R, X x -> X y -> Rabs (x - y) < delta -> Rabs (f x - f y) < eps).
imports: Rbase Rfunctions Ranalysis1 RList List Classical_Prop Classical_Pred_Type