diff options
Diffstat (limited to 'theories/Arith/Compare.v')
| -rw-r--r-- | theories/Arith/Compare.v | 12 |
1 files changed, 5 insertions, 7 deletions
diff --git a/theories/Arith/Compare.v b/theories/Arith/Compare.v index 2fe5c0d9..65219655 100644 --- a/theories/Arith/Compare.v +++ b/theories/Arith/Compare.v @@ -1,18 +1,16 @@ (************************************************************************) (* 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: Compare.v 14641 2011-11-06 11:59:10Z herbelin $ i*) - (** 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. @@ -43,7 +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)). @@ -52,4 +50,4 @@ Qed. Require Export Wf_nat. -Require Export Min Max.
\ No newline at end of file +Require Export Min Max. |