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(* Copyright 2006 Milad Niqui                                           *)
(* This file is distributed under the terms of the                      *)
(* GNU Lesser General Public License Version 2.1                        *)
(* A copy of the license can be found at                                *)
(*                  <http://www.gnu.org/licenses/lgpl-2.1.html>         *)
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(* This file contains various properties of R that are not in the standard library. *)

Lemma Rmult_reg_nonzero_r: forall r1 r2 : R, r1 * r2 <> 0 -> r2 <> 0.