Hypothesis HF: wmonotonic TX TY F.
Hypothesis HG: wmonotonic TX TY G.

(* Specifications: *)
(** Composition respects weak monotonicity *)
Lemma Comp_wmon: wmonotonic TX TY (Comp G F).
(** Binary union respects weak monotonicity *)
Lemma Union2_wmon: wmonotonic TX TY (Union2 F G).
Section Union.