Set Implicit Arguments.
Definition Tsh : share := Share.top.
Definition nonempty_share (sh: share) :=
sepalg.nonidentity sh.
Definition readable_share (sh: share) :=
nonempty_share (Share.glb Share.Rsh sh).
Definition writable_share (sh: share) :=
nonempty_share (Share.glb Share.Lsh sh) /\ join_sub Share.Rsh sh.

Lemma lub_Lsh_Rsh:
Share.lub Share.Lsh Share.Rsh = Share.top.