Arguments resource_at_empty [phi] _ _.
Ltac inj_pair_tac :=
match goal with H: (@existT ?U ?P ?p ?x = @existT _ _ _ ?y) |- _ =>
generalize (@inj_pair2 U P p x y H); clear H; intro; try (subst x || subst y)
end.

Lemma necR_res_option:
forall (phi phi' : rmap) (loc : AV.address),
necR phi phi' -> res_option (phi @ loc) = res_option (phi' @ loc).