Remark of_list_unchanged:
forall k l m, ~In k (map fst l) -> T.get k (List.fold_left f l m) = T.get k m.

(* Specifications: *)
Lemma of_list_unique:
forall k v l1 l2,
~In k (map fst l2) -> T.get k (of_list (l1 ++ (k, v) :: l2)) = Some v.
Lemma of_list_norepet:
forall l k v, list_norepet (map fst l) -> In (k, v) l -> T.get k (of_list l) = Some v.
Lemma of_list_elements:
forall m k, T.get k (of_list (T.elements m)) = T.get k m.
Lemma of_list_unique:
forall k v l1 l2,
~In k (map fst l2) -> T.get k (of_list (l1 ++ (k, v) :: l2)) = Some v.
Lemma of_list_norepet:
forall l k v, list_norepet (map fst l) -> In (k, v) l -> T.get k (of_list l) = Some v.
Lemma of_list_elements:
forall m k, T.get k (of_list (T.elements m)) = T.get k m.