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.

(* Specifications: *)
Lemma canon3: forall R1 B P Q R,
nonlocal `(R1) ->
do_canon (B * `(R1)) (PROPx P (LOCALx Q (SEPx R))) = do_canon B (PROPx (P) (LOCALx Q (SEPx (R1::R)))).
Lemma canon3b: forall R1 B P Q R,
nonlocal `(R1) ->
do_canon (`(R1)* B) (PROPx P (LOCALx Q (SEPx R))) = do_canon B (PROPx (P) (LOCALx Q (SEPx (R1::R)))).
Lemma canon4: forall P, do_canon emp P = P.
Lemma canon7: forall R1 P Q R,
nonlocal `(R1) ->
do_canon `(R1) (PROPx P (LOCALx Q (SEPx R))) = (PROPx P (LOCALx Q (SEPx (R1::R)))).
Lemma canon8: forall R1 R2 R3 PQR,
do_canon ((R1 && R2) && R3) PQR = do_canon (R1 && (R2 && R3)) PQR.
Lemma start_canon: forall P, P  = do_canon P (PROPx nil (LOCALx nil (SEPx nil ))).
Hint Rewrite canon1 canon2 canon4 canon8 : canon.