Proof using lmi rri.
intros.
find_apply_lem_hyp lift_log_matching.
unfold log_matching, log_matching_hosts in *. intuition.
unfold raft_refined_base_params in *.
match goal with
| H : In _ _ |- _ =>
rewrite <- deghost_spec in H
end. eauto.
Qed.

Lemma Prefix_refl :
forall A (l : list A),
Prefix l l.