Definition ghost_log_network : Type := @network _ raft_msg_refined_multi_params.Definition ghost_log_packet : Type := @packet _ raft_msg_refined_multi_params.Definition lifted_maxIndex_sanity (net : ghost_log_network) : Prop :=
    (forall h,
      lastApplied (snd (nwState net h)) <= maxIndex (log (snd (nwState net h)))) /\
    (forall h, commitIndex (snd (nwState net h)) <= maxIndex (log (snd (nwState net h)))).

Lemma lifted_maxIndex_sanity_init : msg_refined_raft_net_invariant_init lifted_maxIndex_sanity.