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(*         *   The Coq Proof Assistant / The Coq Development Team       *)
(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
(* <O___,, *       (see CREDITS file for the list of authors)           *)
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(*    //   *    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)         *)
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(** * Maximum and Minimum of two real numbers *)
Local Open Scope R_scope.
(** The functions [Rmax] and [Rmin] implement indeed a maximum and a minimum *)

Lemma Rmin_r : forall x y, y<=x -> Rmin x y = y.