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authorGravatar herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7>2006-02-12 18:56:24 +0000
committerGravatar herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7>2006-02-12 18:56:24 +0000
commitcef5ba5017288534c4fb319998981bfac3dfc6ba (patch)
treec5fd3ee7234f1787def0035b68847f70218d298a /theories
parent21855a9b7fc8771a161c3d9eba637c7657a1a3d7 (diff)
Unification min_case et min_case2
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8029 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories')
-rwxr-xr-xtheories/Arith/Min.v10
1 files changed, 3 insertions, 7 deletions
diff --git a/theories/Arith/Min.v b/theories/Arith/Min.v
index 8f7755d4b..3e64980cb 100755
--- a/theories/Arith/Min.v
+++ b/theories/Arith/Min.v
@@ -68,16 +68,12 @@ induction n; induction m; simpl in |- *; auto with arith.
elim (IHn m); intro H; elim H; auto.
Qed.
-Lemma min_case : forall n m (P:nat -> Set), P n -> P m -> P (min n m).
+Lemma min_case : forall n m (P:nat -> Type), P n -> P m -> P (min n m).
Proof.
induction n; simpl in |- *; auto with arith.
induction m; intros; simpl in |- *; auto with arith.
pattern (min n m) in |- *; apply IHn; auto with arith.
Qed.
-Lemma min_case2 : forall n m (P:nat -> Prop), P n -> P m -> P (min n m).
-Proof.
-induction n; simpl in |- *; auto with arith.
-induction m; intros; simpl in |- *; auto with arith.
-pattern (min n m) in |- *; apply IHn; auto with arith.
-Qed. \ No newline at end of file
+Notation min_case2 := min_case (only parsing).
+