diff options
| -rwxr-xr-x | theories/Arith/Le.v | 7 |
1 files changed, 3 insertions, 4 deletions
diff --git a/theories/Arith/Le.v b/theories/Arith/Le.v index b87f545a84..1f265b8f52 100755 --- a/theories/Arith/Le.v +++ b/theories/Arith/Le.v @@ -62,15 +62,14 @@ Hint Immediate le_Sn_le: arith v62. Theorem le_S_n : forall n m, S n <= S m -> n <= m. Proof. intros n m H; change (pred (S n) <= pred (S m)) in |- *. -elim H; simpl in |- *; auto with arith. +destruct H; simpl; auto with arith. Qed. Hint Immediate le_S_n: arith v62. Theorem le_pred : forall n m, n <= m -> pred n <= pred m. Proof. -induction n as [| n IHn]. simpl in |- *. auto with arith. -destruct m as [| m]. simpl in |- *. intro H. inversion H. -simpl in |- *. auto with arith. +destruct n; simpl; auto with arith. +destruct m; simpl; auto with arith. Qed. (** Comparison to 0 *) |