Ltac prog_assoc_r :=
    eapply comp_spec_eq_trans_r; [ idtac | eapply comp_spec_assoc].(* A bounded repeat based on fold. *)
Definition repeatMax(A : Set)(eqd : EqDec A)(c : Comp A)(P : A -> bool) def (n : nat):=
  compFold _ (fun a' i => if (P a') then (ret a') else c) def (allNatsLt n).

Lemma compMap_flatten : forall (A B : Set)(eqd : EqDec B)(c : A -> Comp B)(ls : list (list A)), comp_spec (fun ls1 ls2 => ls2 = flatten ls1) (compMap _ (fun ls' => compMap _ c ls') ls) (compMap _ c (flatten ls)).