proposition: Lemma Nearby_Str_nth_tl `(H : NearBy l ε s) : ∀ n, NearBy l ε (Str_nth_tl n s).
proof: Proof. induction n. easy. simpl. rewrite <-tl_nth_tl. now apply Nearby_tl. Defined.
imports: CoRN.algebra.RSetoid CoRN.model.totalorder.QposMinMax Coq.QArith.QArith Coq.Bool.Bool CoRN.metric2.Complete MathClasses.theory.CoqStreams MathClasses.interfaces.abstract_algebra MathClasses.theory.streams MathClasses.orders.naturals