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author | Samuel Mimram <samuel.mimram@ens-lyon.org> | 2004-07-28 21:54:47 +0000 |
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committer | Samuel Mimram <samuel.mimram@ens-lyon.org> | 2004-07-28 21:54:47 +0000 |
commit | 6b649aba925b6f7462da07599fe67ebb12a3460e (patch) | |
tree | 43656bcaa51164548f3fa14e5b10de5ef1088574 /theories/Reals/SplitRmult.v |
Imported Upstream version 8.0pl1upstream/8.0pl1
Diffstat (limited to 'theories/Reals/SplitRmult.v')
-rw-r--r-- | theories/Reals/SplitRmult.v | 20 |
1 files changed, 20 insertions, 0 deletions
diff --git a/theories/Reals/SplitRmult.v b/theories/Reals/SplitRmult.v new file mode 100644 index 00000000..19df2afa --- /dev/null +++ b/theories/Reals/SplitRmult.v @@ -0,0 +1,20 @@ +(************************************************************************) +(* 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 1.7.2.1 2004/07/16 19:31:15 herbelin Exp $ 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. |