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