(* TODO those definitions are also in sync_preds_defs, see if we can include without changing the dep DAG too badly *)
(* The TT branch of the jam below might seem too weak, but we already keep enough control over joining with other rmaps that it should be enough *)
Definition LKspec_ext (R: pred rmap) lksize : spec :=
fun (sh: Share.t) (l: AV.address)  =>
allp (jam (adr_range_dec l lksize)
(fun l' => yesat (SomeP rmaps.Mpred (fun _ => R)) (LK lksize (snd l' - snd l)) sh l')
(fun _ => TT)).
Definition LK_at R lksize sh :=
LKspec_ext R lksize sh.

Lemma nat_of_Z_nonzero z n: n <> O -> nat_of_Z z = n -> z = Z.of_nat n.