(** A location that the machine has no access to (i.e. the permission is empty in all its resources) *)
Inductive deadLocation tp m b ofs : Prop :=
| Dead: forall
(Hvalid: Mem.valid_block m b)
(Hthreads: forall i (cnti: containsThread tp i),
(getThreadR cnti).1 !! b ofs = None /\ (getThreadR cnti).2 !! b ofs = None)
(Hresources: forall l pmap,
lockRes tp l = Some pmap ->
pmap.1 !! b ofs = None /\ pmap.2 !! b ofs = None),
deadLocation tp m b ofs.

Lemma updThreadC_deadLocation:
forall tp m b ofs i (cnti: containsThread tp i) c,
deadLocation tp m b ofs ->
deadLocation (updThreadC cnti c) m b ofs.