(** Definition of Controlled Bisimulations *)

(* Specifications: *)
(** Reflexivity of Expansion *)
Lemma expand_refl: reflexive (expand TX TX).
(** Transitivity of Expansion *)
Lemma expand_trans: transitive (expand TX TX).
(** Reflexivity of Weak Expansion *)
Lemma wexpand_refl: reflexive (wexpand TX TX).
(** Transitivity of Weak Expansion *)
Lemma wexpand_trans: transitive (wexpand TX TX).
End Properties.