Commit 7c61518e by Robbert Krebbers

### Vector tweaks.

parent 2f61a6b7
 ... ... @@ -12,10 +12,10 @@ Section ofe. Definition vec_ofe_mixin m : OfeMixin (vec A m). Proof. split. - intros x y. apply (equiv_dist (A:=listC A)). - intros v w. apply (equiv_dist (A:=listC A)). - unfold dist, vec_dist. split. by intros ?. by intros ??. by intros ?????; etrans. - intros. by apply (dist_S (A:=listC A)). - intros n v w. by apply (dist_S (A:=listC A)). Qed. Canonical Structure vecC m : ofeT := OfeT (vec A m) (vec_ofe_mixin m). ... ... @@ -48,22 +48,21 @@ Section proper. Proper (dist n ==> eq ==> dist n) (@Vector.nth A m). Proof. intros v. induction v as [|x m v IH]; intros v'; inv_vec v'. - intros _ x. inversion x. - intros x' v' EQ i ? <-. inversion_clear EQ. inv_fin i; first done. intros i. by apply IH. - intros _ x. inv_fin x. - intros x' v' EQ i ? <-. inversion_clear EQ. inv_fin i=> // i. by apply IH. Qed. Global Instance vlookup_proper m : Proper (equiv ==> eq ==> equiv) (@Vector.nth A m). Proof. intros ??????. apply equiv_dist=>?. subst. f_equiv. by apply equiv_dist. intros v v' ? x x' ->. apply equiv_dist=> n. f_equiv. by apply equiv_dist. Qed. Global Instance vec_to_list_ne n m : Proper (dist n ==> dist n) (@vec_to_list A m). Proof. intros ?? H. apply H. Qed. Proof. by intros v v'. Qed. Global Instance vec_to_list_proper m : Proper (equiv ==> equiv) (@vec_to_list A m). Proof. intros ?? H. apply H. Qed. Proof. by intros v v'. Qed. End proper. Section cofe. ... ... @@ -95,7 +94,7 @@ Instance vec_map_ne {A B : ofeT} m f n : Proper (dist n ==> dist n) f → Proper (dist n ==> dist n) (@vec_map A B m f). Proof. intros ??? H. eapply list_fmap_ne in H; last done. intros ? v v' H. eapply list_fmap_ne in H; last done. by rewrite -!vec_to_list_map in H. Qed. Definition vecC_map {A B : ofeT} m (f : A -n> B) : vecC A m -n> vecC B m := ... ...
 ... ... @@ -187,7 +187,8 @@ Proof. Defined. Ltac inv_vec v := match type of v with let T := type of v in match eval hnf in T with | vec _ 0 => revert dependent v; match goal with |- ∀ v, @?P v => apply (vec_0_inv P) end | vec _ (S ?n) => ... ...
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