(************************************************************************)
(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2019       *)
(* <O___,, *       (see CREDITS file for the list of authors)           *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
(************************************************************************)
Local Open Scope ConstructiveReals.
(** Definitions and basic properties of limits of real sequences and series.  WARNING: this file is experimental and likely to change in future releases. *)

Lemma CR_cv_extens
: forall {R : ConstructiveReals} (xn yn : nat -> CRcarrier R) (l : CRcarrier R),
(forall n:nat, xn n == yn n)
-> CR_cv R xn l
-> CR_cv R yn l.