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