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(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
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(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
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Require Export QArith_base.
(** Injection of rational numbers into real numbers. *)

Lemma Rlt_Qlt : forall x y : Q, (Q2R x < Q2R y)%R -> x<y.