(* -*- coding: utf-8 -*- *)
(************************************************************************)
(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(*   \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)         *)
(************************************************************************)
(** Binary Integers (Pierre Crégut, CNET, Lannion, France) *)
Require Export Arith_base.
Require Export Compare_dec.
Local Open Scope Z_scope.
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(** * Moving terms from one side to the other of an inequality *)

Theorem Zmult_le_approx n m p :
n > 0 -> n > p -> 0 <= m * n + p -> 0 <= m.