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(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(*i $Id: SplitRmult.v 9245 2006-10-17 12:53:34Z notin $ i*)
(*i Lemma mult_non_zero :(r1,r2:R)``r1<>0`` /\ ``r2<>0`` -> ``r1*r2<>0``. i*)
Require Import Rbase.
Ltac split_Rmult :=
match goal with
| |- ((?X1 * ?X2)%R <> 0%R) =>
apply Rmult_integral_contrapositive; split; try split_Rmult
end.
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