Definition val_inject_opt (j: meminj) (v1 v2: option val) :=
match v1, v2 with Some v1', Some v2' => val_inject j v1' v2'
| None, None => True
| _, _ => False
end.

Lemma PermExtNotnonempty: forall m1 m2 (Inj: Mem.extends m1 m2) b ofs p
(H: ~ Mem.perm m2 b ofs p Nonempty),  ~ Mem.perm m1 b ofs p Nonempty.