Definition lifted_allEntries_leader_sublog (net : network) :=
    forall leader e h,
      type (snd (nwState net leader)) = Leader ->
      In e (map snd (allEntries (fst (nwState net h)))) ->
      eTerm e = currentTerm (snd (nwState net leader)) ->
      In e (log (snd (nwState net leader))).

Lemma lifted_allEntries_leader_sublog_invariant : forall (net : @network _ raft_msg_refined_multi_params), msg_refined_raft_intermediate_reachable net -> lifted_allEntries_leader_sublog net.