intros A R l H'; elim H'; auto.
intros l0 H'0 xs bs cs H'1; red in |- *; rewrite H'1 in H'0; auto.
intros l0 H'0 H'1 xs bs cs H'2; rewrite H'2 in H'1; auto.
red in |- *; apply Ind.
intros a.
change (Bar A (GoodR A R) ((a :: xs) ++ bs ++ cs)) in |- *.
unfold GRBar in H'1; apply H'1 with (a := a); auto.
Qed.

(* Specifications: *)
Lemma monGRBar :
forall (A : Set) (R : Rel A) (xs bs cs : list A),
GRBar A R (xs ++ cs) -> GRBar A R (xs ++ bs ++ cs).