Definition lifted_no_entries_past_current_term_host net :=
    forall (h : name) e,
      In e (log (snd (nwState net h))) ->
      eTerm e <= currentTerm (snd (nwState net h)).

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