diff options
Diffstat (limited to 'theories/Arith/Max.v')
| -rw-r--r--[-rwxr-xr-x] | theories/Arith/Max.v | 12 |
1 files changed, 3 insertions, 9 deletions
diff --git a/theories/Arith/Max.v b/theories/Arith/Max.v index 82673ed0..7f5c1148 100755..100644 --- a/theories/Arith/Max.v +++ b/theories/Arith/Max.v @@ -6,7 +6,7 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Max.v,v 1.7.2.1 2004/07/16 19:31:00 herbelin Exp $ i*) +(*i $Id: Max.v 8642 2006-03-17 10:09:02Z notin $ i*) Require Import Arith. @@ -69,17 +69,11 @@ induction n; induction m; simpl in |- *; auto with arith. elim (IHn m); intro H; elim H; auto. Qed. -Lemma max_case : forall n m (P:nat -> Set), P n -> P m -> P (max n m). -Proof. -induction n; simpl in |- *; auto with arith. -induction m; intros; simpl in |- *; auto with arith. -pattern (max n m) in |- *; apply IHn; auto with arith. -Qed. - -Lemma max_case2 : forall n m (P:nat -> Prop), P n -> P m -> P (max n m). +Lemma max_case : forall n m (P:nat -> Type), P n -> P m -> P (max n m). Proof. induction n; simpl in |- *; auto with arith. induction m; intros; simpl in |- *; auto with arith. pattern (max n m) in |- *; apply IHn; auto with arith. Qed. +Notation max_case2 := max_case (only parsing). |