Definition lifted_entries_gt_0_nw (net : ghost_log_network) : Prop :=
    forall p t n pli plt es ci e,
      In p (nwPackets net) ->
      snd (pBody p) = AppendEntries t n pli plt es ci ->
      In e es ->
      eIndex e > 0.

Lemma lifted_entries_gt_0_nw_invariant : forall net, msg_refined_raft_intermediate_reachable net -> lifted_entries_gt_0_nw net.