Lemma andp_emp_sepcon_TT {A} {JA: Join A}{PA: Perm_alg A}{SA: Sep_alg A}{agA: ageable A}{AgeA: Age_alg A}: forall (Q: pred A), (forall w1 w2, core w1 = core w2 -> Q w1 -> Q w2) -> (Q && emp * TT = Q).