Proof using rmri rri.
intros.
rewrite deghost_spec.
rewrite msg_deghost_spec with (net0 := net).
auto.
Qed.

Lemma all_the_way_simulation_1 :
forall (net : ghost_log_network),
msg_refined_raft_intermediate_reachable net ->
raft_intermediate_reachable (deghost (mgv_deghost net)).