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-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).
+