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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,v 1.1.2.1 2004/07/16 19:31:36 herbelin Exp $ i*)
+
+(*i Lemma mult_non_zero :(r1,r2:R)``r1<>0`` /\ ``r2<>0`` -> ``r1*r2<>0``. i*)
+
+
+Require Rbase.
+
+Recursive Tactic Definition SplitRmult :=
+ Match Context With
+ | [ |- ~(Rmult ?1 ?2)==R0 ] -> Apply mult_non_zero; Split;Try SplitRmult.
+