diff options
Diffstat (limited to 'backend/Constprop.v')
| -rw-r--r-- | backend/Constprop.v | 13 |
1 files changed, 7 insertions, 6 deletions
diff --git a/backend/Constprop.v b/backend/Constprop.v index 03966cd..47c40e3 100644 --- a/backend/Constprop.v +++ b/backend/Constprop.v @@ -87,12 +87,6 @@ Module Approx <: SEMILATTICE_WITH_TOP. | _, Novalue => x | _, _ => Unknown end. - Lemma lub_commut: forall x y, eq (lub x y) (lub y x). - Proof. - unfold lub, eq; intros. - case (eq_dec x y); case (eq_dec y x); intros; try congruence. - destruct x; destruct y; auto. - Qed. Lemma ge_lub_left: forall x y, ge (lub x y) x. Proof. unfold lub; intros. @@ -100,6 +94,13 @@ Module Approx <: SEMILATTICE_WITH_TOP. apply ge_refl. apply eq_refl. destruct x; destruct y; unfold ge; tauto. Qed. + Lemma ge_lub_right: forall x y, ge (lub x y) y. + Proof. + unfold lub; intros. + case (eq_dec x y); intro. + apply ge_refl. subst. apply eq_refl. + destruct x; destruct y; unfold ge; tauto. + Qed. End Approx. Module D := LPMap Approx. |