Section StarWf.
Variable A: Type.
Variable X: Set.
Variable Y: Type.
Variable TX: reduction_t A X.
Variable TY: reduction_t A Y.
Variable B: relation X.
Hypothesis HB: evolve TX TX B (star B).
Hypothesis HB': well_founded (trans (comp (plus B) (plus (TX (T _))))).

(** Theorem 3.12 *)
Theorem star_wf_controlled: controlled TX TY B.
End StarWf.