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 exp_right:
forall {B A: Type}(x:B) p (q: B -> pred A),
p |-- q x ->
p |-- exp q.