Section Properties.
Implicit Types x y : TVar.
Implicit Types xs ys : list TVar.
(* ---------------------------------------------------------------------- *)
(** **** Abstract properties of ok *)
(* ---------------------------------------------------------------------- *)
(** **** Properties of binds *)
(* ---------------------------------------------------------------------- *)
(** **** Properties of all_binds *)

Theorem all_binds_remove_compat : forall A x (E F : gen_env A),
ok E -> ok F ->
E ⊏ F ->
E ∖ {x} ⊏ F ∖ {x}.