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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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Require Export Qsyntax.
Require Export Field_Theory_Q.
Definition Qmult_Qinv_l:= Qinv_defT.

Lemma Qinv_Qmult:forall x y, x<>Zero -> y <> Zero -> Qinv (x*y) = (Qinv x)*(Qinv y).