(* Where should this sit? *)
Arguments In {_} _ _.
Arguments Included {_} _ _.
Arguments Singleton {_} _.
Arguments Union {_} _ _.
Arguments Add {_} _ _.
Arguments Intersection {_} _ _.
Arguments Complement {_} _.
Arguments Setminus {_} _ _.
Arguments Subtract {_} _ _.
Arguments Disjoint {_} _ _.
Arguments Same_set {_} _ _.

Lemma Included_Full : forall {A} E, Included E (Full_set A).
Hint Resolve Included_Full.