Section EUTTG_principles.
Context {E : Type -> Type} {R1 R2 : Type} (RR : R1 -> R2 -> Prop).
Local Notation euttG := (@euttG E R1 R2 RR).
(* Make new hypotheses *)
(* Process itrees *)
(* Drop weak hypotheses for general rewriting *)

Lemma euttG_transU rH rL gL gH t1 t2:
transU RR (euttG rH rH rH gH) t1 t2 -> euttG rH rL gL gH t1 t2.