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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.

Lemma Qlt_Qmult_cancel_r: forall x y z : Q, Zero < x -> y * x< z * x -> y < z.
Definition Qmult_resp_Qlt_pos_r:= Qlt_Qmult_cancel_r :  forall t x y : Q, Zero < t -> x * t < y * t -> x < y.