Definition superprecise {A}  {JA: Join A}{PA: Perm_alg A}{SA: Sep_alg A} (P: pred A) :=
forall w1 w2, P w1 -> P w2 -> comparable w1 w2 -> w1=w2.

Lemma allp_right {B A: Type}:
forall (P: pred A) (Q: B -> pred A),
(forall v, P |-- Q v) ->
P |-- allp Q.