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_dec : forall A (E F : gen_env A),
ok E ->
(forall w w' : A, { w = w' } + { ¬ w = w' }) ->
{E ⊏ F} + {¬ E ⊏ F}.