(* ---------------------------------------------------------------------- *)
(** **** Properties of binds *)

Theorem binds_concat_inv : forall A x (v : A) (F G : gen_env A),
x ∹ v ⋲ (F & G) ->
x ∹ v ⋲ G ∨ (x ∉ G ∧ x ∹ v ⋲ F).