diff options
| 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/Arith/Compare.v | |
| parent | 86535d84cc3cffeee1dcd8545343f234e7285530 (diff) | |
Imported Upstream version 8.4dfsgupstream/8.4dfsg
Diffstat (limited to 'theories/Arith/Compare.v')
| -rw-r--r-- | theories/Arith/Compare.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Arith/Compare.v b/theories/Arith/Compare.v index c9e6d3cf..65219655 100644 --- a/theories/Arith/Compare.v +++ b/theories/Arith/Compare.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 *) @@ -8,9 +8,9 @@ (** Equality is decidable on [nat] *) -Open Local Scope nat_scope. +Local Open Scope nat_scope. -Notation not_eq_sym := sym_not_eq. +Notation not_eq_sym := not_eq_sym (only parsing). Implicit Types m n p q : nat. @@ -41,7 +41,7 @@ Proof. lapply (lt_le_S m n); auto with arith. intro H'; lapply (le_lt_or_eq (S m) n); auto with arith. induction 1; auto with arith. - right; exists (n - S (S m)); simpl in |- *. + right; exists (n - S (S m)); simpl. rewrite (plus_comm m (n - S (S m))). rewrite (plus_n_Sm (n - S (S m)) m). rewrite (plus_n_Sm (n - S (S m)) (S m)). |