Definition nonlocal (Q: environ->mpred) := True.Ltac check_nonlocal :=
  match goal with
  |  |- nonlocal (local _) => fail 1
  |  |- nonlocal (prop _) => fail 1
  |  |- nonlocal (andp _ _) => fail 1
  |  |- nonlocal (sepcon _ _) => fail 1
  | |- _ => apply I
 end.

Lemma canon17 : forall (P: Prop) PP QR, prop P && (PROPx PP QR) = PROPx (P::PP) QR.