diff options
Diffstat (limited to 'theories/Structures/OrderedType.v')
| -rw-r--r-- | theories/Structures/OrderedType.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Structures/OrderedType.v b/theories/Structures/OrderedType.v index fa08f9366..b9510342c 100644 --- a/theories/Structures/OrderedType.v +++ b/theories/Structures/OrderedType.v @@ -85,16 +85,16 @@ Module OrderedTypeFacts (Import O: OrderedType). Lemma lt_eq : forall x y z, lt x y -> eq y z -> lt x z. Proof. - intros; destruct (compare x z); auto. + intros; destruct (compare x z) as [Hlt|Heq|Hlt]; auto. elim (lt_not_eq H); apply eq_trans with z; auto. - elim (lt_not_eq (lt_trans l H)); auto. + elim (lt_not_eq (lt_trans Hlt H)); auto. Qed. Lemma eq_lt : forall x y z, eq x y -> lt y z -> lt x z. Proof. - intros; destruct (compare x z); auto. + intros; destruct (compare x z) as [Hlt|Heq|Hlt]; auto. elim (lt_not_eq H0); apply eq_trans with x; auto. - elim (lt_not_eq (lt_trans H0 l)); auto. + elim (lt_not_eq (lt_trans H0 Hlt)); auto. Qed. Instance lt_compat : Proper (eq==>eq==>iff) lt. |