Section C.
Variables X Y: Type.
Variable TX: reduction_t A X.
Variable TY: reduction_t A Y.
Variables F G: function X X.
Hypothesis HF: wmonotonic TX TX F.
Hypothesis HG: wmonotonic TX TX G.
(* on doit faire le lemme suivant directement, pour pouvoir utiliser des transitions différentes *)
Variable L: relation Y.
Hypothesis HL: simulation TY TY L.

(** The following lemma is not a consequence of the previous one, for typing reasons *)
Lemma chaing_l_wmon: wmonotonic TY TX (chaining_l L).