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_single_singles : forall A x y (v w : A) ys (ws : list A),
x = y -> v = w ->
(x ∶ v) ⊏ (y :: ys ∷ w :: ws).