Ltac prove_in :=
    match goal with
      | [ _ : nwPackets ?net = _,
              _ : In (?p : packet) _ |- _] =>
        assert (In p (nwPackets net)) by (repeat find_rewrite; do_in_app; intuition)
      | [ _ : nwPackets ?net = _,
              _ : pBody ?p = _ |- _] =>
        assert (In p (nwPackets net)) by (repeat find_rewrite; intuition)
    end.

Lemma reboot_preservers_candidateEntries : forall net h d gd e, nwState net h = (gd, d) -> candidateEntries e (nwState net) -> candidateEntries e (update name_eq_dec (nwState net) h (gd, reboot d)).