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| author |  Stephane Glondu <steph@glondu.net> | 2012-08-20 18:27:01 +0200 |
|---|---|---|
| committer | Stephane Glondu <steph@glondu.net> | 2012-08-20 18:27:01 +0200 |
| commit | e0d682ec25282a348d35c5b169abafec48555690 (patch) | |
| tree | 1a46f0142a85df553388c932110793881f3af52f /theories/Numbers/NatInt/NZMulOrder.v | |
| parent | 86535d84cc3cffeee1dcd8545343f234e7285530 (diff) | |
Imported Upstream version 8.4dfsgupstream/8.4dfsg
Diffstat (limited to 'theories/Numbers/NatInt/NZMulOrder.v')
| -rw-r--r-- | theories/Numbers/NatInt/NZMulOrder.v | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/theories/Numbers/NatInt/NZMulOrder.v b/theories/Numbers/NatInt/NZMulOrder.v index 97306f93..a1fe4bf5 100644 --- a/theories/Numbers/NatInt/NZMulOrder.v +++ b/theories/Numbers/NatInt/NZMulOrder.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -271,9 +271,9 @@ Definition mul_eq_0 := eq_mul_0. Definition mul_eq_0_l := eq_mul_0_l. Definition mul_eq_0_r := eq_mul_0_r. -Theorem lt_0_mul : forall n m, 0 < n * m <-> (0 < n /\ 0 < m) \/ (m < 0 /\ n < 0). +Theorem lt_0_mul n m : 0 < n * m <-> (0 < n /\ 0 < m) \/ (m < 0 /\ n < 0). Proof. -intros n m; split; [intro H | intros [[H1 H2] | [H1 H2]]]. +split; [intro H | intros [[H1 H2] | [H1 H2]]]. destruct (lt_trichotomy n 0) as [H1 | [H1 | H1]]; [| rewrite H1 in H; rewrite mul_0_l in H; false_hyp H lt_irrefl |]; (destruct (lt_trichotomy m 0) as [H2 | [H2 | H2]]; |