Section FancyUpdates.
Context {inv_names : invG}.
Definition fupd (E1 E2 : Ensemble iname) P :=
(wsat * ghost_set g_en E1) -* |==> except0 (wsat * ghost_set g_en E2 * P).
Notation "|={ E1 , E2 }=> P" := (fupd E1 E2 P) (at level 62): logic.
Notation "|={ E }=> P" := (fupd E E P) (at level 62): logic.

Lemma wsat_fupd_elim : forall P, wsat * (|={Empty_set _,Empty_set _}=> P) |-- |==> except0 (wsat * P).