Notation val_inject:=Val.inject.
(*A value that is (if its a pointer) not dangling wrt m - a condition like this will probably be need to imposed on after-external return values (and thus also on the values returned by halted)*)
Definition val_valid (v:val) (m:mem):Prop :=
match v with Vptr b ofs => Mem.valid_block m b | _ => True
end.

Lemma inject_valvalid: forall j m1 m2 (Inj: Mem.inject j m1 m2) v2 (V:val_valid v2 m2) v1,
val_inject j v1 v2 -> val_valid v1 m1.