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| author |  Stephane Glondu <steph@glondu.net> | 2013-05-08 18:03:54 +0200 |
|---|---|---|
| committer | Stephane Glondu <steph@glondu.net> | 2013-05-08 18:03:54 +0200 |
| commit | db38bb4ad9aff74576d3b7f00028d48f0447d5bd (patch) | |
| tree | 09dafc3e5c7361d3a28e93677eadd2b7237d4f9f /theories/Arith/Between.v | |
| parent | 6e34b272d789455a9be589e27ad3a998cf25496b (diff) | |
| parent | 499a11a45b5711d4eaabe84a80f0ad3ae539d500 (diff) | |
Merge branch 'experimental/upstream' into upstream
Diffstat (limited to 'theories/Arith/Between.v')
| -rw-r--r-- | theories/Arith/Between.v | 10 |
1 files changed, 4 insertions, 6 deletions
diff --git a/theories/Arith/Between.v b/theories/Arith/Between.v index 65753e31..fb488526 100644 --- a/theories/Arith/Between.v +++ b/theories/Arith/Between.v @@ -1,17 +1,15 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) +(* <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 *) (************************************************************************) -(*i $Id: Between.v 14641 2011-11-06 11:59:10Z herbelin $ i*) - Require Import Le. Require Import Lt. -Open Local Scope nat_scope. +Local Open Scope nat_scope. Implicit Types k l p q r : nat. @@ -76,7 +74,7 @@ Section Between. Lemma in_int_intro : forall p q r, p <= r -> r < q -> in_int p q r. Proof. - red in |- *; auto with arith. + red; auto with arith. Qed. Hint Resolve in_int_intro: arith v62. @@ -151,7 +149,7 @@ Section Between. between k l -> (forall n:nat, in_int k l n -> P n -> ~ Q n) -> ~ exists_between k l. Proof. - induction 1; red in |- *; intros. + induction 1; red; intros. absurd (k < k); auto with arith. absurd (Q l); auto with arith. elim (exists_in_int k (S l)); auto with arith; intros l' inl' Ql'. |