Definition lifted_leaders_have_leaderLogs (net : ghost_log_network) : Prop :=
    forall h,
      type (snd (nwState net h)) = Leader ->
      exists ll,
        In (currentTerm (snd (nwState net h)), ll) (leaderLogs (fst (nwState net h))).

Lemma lifted_leaders_have_leaderLogs_invariant : forall net, msg_refined_raft_intermediate_reachable net -> lifted_leaders_have_leaderLogs net.