diff options
Diffstat (limited to 'lib')
-rw-r--r-- | lib/Heaps.v | 6 | ||||
-rw-r--r-- | lib/Ordered.v | 10 |
2 files changed, 9 insertions, 7 deletions
diff --git a/lib/Heaps.v b/lib/Heaps.v index 9fa07a1d..85343998 100644 --- a/lib/Heaps.v +++ b/lib/Heaps.v @@ -256,14 +256,14 @@ Proof. eapply gt_heap_trans with y; eauto. red; auto. - intuition. eapply lt_heap_trans; eauto. red; auto. - eapply gt_heap_trans; eauto. red; auto. + eapply gt_heap_trans; eauto. red; auto with ordered_type. - intuition. eapply gt_heap_trans; eauto. red; auto. - rewrite e3 in *; simpl in *. intuition. eapply lt_heap_trans with y; eauto. red; auto. eapply gt_heap_trans; eauto. red; auto. - intuition. eapply lt_heap_trans with y; eauto. red; auto. - eapply gt_heap_trans; eauto. red; auto. + eapply gt_heap_trans; eauto. red; auto with ordered_type. eapply gt_heap_trans with x; eauto. red; auto. - rewrite e3 in *; simpl in *; intuition. eapply gt_heap_trans; eauto. red; auto. @@ -308,7 +308,7 @@ Proof. intros. unfold insert. case_eq (partition x h). intros a b EQ; simpl. assert (E.eq y x \/ ~E.eq y x). - destruct (E.compare y x); auto. + destruct (E.compare y x); auto with ordered_type. right; red; intros. elim (E.lt_not_eq l). apply E.eq_sym; auto. destruct H0. tauto. diff --git a/lib/Ordered.v b/lib/Ordered.v index bcf24cbd..1adbd330 100644 --- a/lib/Ordered.v +++ b/lib/Ordered.v @@ -21,6 +21,8 @@ Require Import Coqlib. Require Import Maps. Require Import Integers. +Create HintDb ordered_type. + (** The ordered type of positive numbers *) Module OrderedPositive <: OrderedType. @@ -173,17 +175,17 @@ Definition eq (x y: t) := Lemma eq_refl : forall x : t, eq x x. Proof. - intros; split; auto. + intros; split; auto with ordered_type. Qed. Lemma eq_sym : forall x y : t, eq x y -> eq y x. Proof. - unfold eq; intros. intuition auto. + unfold eq; intros. intuition auto with ordered_type. Qed. Lemma eq_trans : forall x y z : t, eq x y -> eq y z -> eq x z. Proof. - unfold eq; intros. intuition eauto. + unfold eq; intros. intuition eauto with ordered_type. Qed. Definition lt (x y: t) := @@ -201,7 +203,7 @@ Proof. case (A.compare (fst x) (fst z)); intro. assumption. generalize (A.lt_not_eq H2); intro. elim H5. - apply A.eq_trans with (fst z). auto. auto. + apply A.eq_trans with (fst z). auto. auto with ordered_type. generalize (@A.lt_not_eq (fst z) (fst y)); intro. elim H5. apply A.lt_trans with (fst x); auto. apply A.eq_sym; auto. |