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authorGravatar Samuel Mimram <smimram@debian.org>2006-04-28 14:59:16 +0000
committerGravatar Samuel Mimram <smimram@debian.org>2006-04-28 14:59:16 +0000
commit3ef7797ef6fc605dfafb32523261fe1b023aeecb (patch)
treead89c6bb57ceee608fcba2bb3435b74e0f57919e /theories/Arith/Max.v
parent018ee3b0c2be79eb81b1f65c3f3fa142d24129c8 (diff)
Imported Upstream version 8.0pl3+8.1alphaupstream/8.0pl3+8.1alpha
Diffstat (limited to 'theories/Arith/Max.v')
-rw-r--r--[-rwxr-xr-x]theories/Arith/Max.v12
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).