Commit 29e2f606 authored by Robbert Krebbers's avatar Robbert Krebbers
Browse files

Lemma list_fmap_insert.

parent 02a107a5
......@@ -2961,6 +2961,8 @@ Section fmap.
intros Hi. rewrite list_lookup_fmap in Hi.
destruct (l !! i) eqn:?; simplify_eq/=; eauto.
Lemma list_fmap_insert l i x: f <$> <[i:=x]>l = <[i:=f x]>(f <$> l).
Proof. revert i. by induction l; intros [|i]; f_equal/=. Qed.
Lemma list_alter_fmap (g : A A) (h : B B) l i :
Forall (λ x, f (g x) = h (f x)) l f <$> alter g i l = alter h i (f <$> l).
Proof. intros Hl. revert i. by induction Hl; intros [|i]; f_equal/=. Qed.
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