Definition lifted_in_log_in_all_entries (net : network) :=
    forall h e,
      In e (log (snd (nwState net h))) ->
      exists t,
        In (t, e) (allEntries (fst (nwState net h))).

Lemma lifted_in_log_in_all_entries_invariant : forall (net : @network _ raft_msg_refined_multi_params), msg_refined_raft_intermediate_reachable net -> lifted_in_log_in_all_entries net.