Commit ec71b502 by Robbert Krebbers

### Version of map_fold_insert for Leibniz equality.

parent 2db8a61c
 ... @@ -947,6 +947,14 @@ Proof. ... @@ -947,6 +947,14 @@ Proof. - by eapply elem_of_map_to_list, elem_of_list_lookup_2. - by eapply elem_of_map_to_list, elem_of_list_lookup_2. Qed. Qed. Lemma map_fold_insert_L {A B} (f : K → A → B → B) (b : B) (i : K) (x : A) (m : M A) : (∀ j1 j2 z1 z2 y, j1 ≠ j2 → <[i:=x]> m !! j1 = Some z1 → <[i:=x]> m !! j2 = Some z2 → f j1 z1 (f j2 z2 y) = f j2 z2 (f j1 z1 y)) → m !! i = None → map_fold f b (<[i:=x]> m) = f i x (map_fold f b m). Proof. apply map_fold_insert; apply _. Qed. Lemma map_fold_ind {A B} (P : B → M A → Prop) (f : K → A → B → B) (b : B) : Lemma map_fold_ind {A B} (P : B → M A → Prop) (f : K → A → B → B) (b : B) : P b ∅ → P b ∅ → (∀ i x m r, m !! i = None → P r m → P (f i x r) (<[i:=x]> m)) → (∀ i x m r, m !! i = None → P r m → P (f i x r) (<[i:=x]> m)) → ... ...
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