(************************************************************************)
(*         *   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)           *)
(*   \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)         *)
(************************************************************************)
Require Export Rbase.
Require Export QArith_base.
(** Injection of rational numbers into real numbers. *)
Definition Q2R (x : Q) : R := (IZR (Qnum x) * / IZR (QDen x))%R.

Lemma IZR_nz : forall p : positive, IZR (Zpos p) <> 0%R.