Definition lifted_entries_sorted_nw' (net : ghost_log_network) :=
    forall p t n pli plt es ci,
      In p (nwPackets net) ->
      snd (pBody p) = AppendEntries t n pli plt es ci ->
      sorted es.

Lemma lifted_committed_ext' : forall ps ps' st st' t e, (forall h, st' h = st h) -> lifted_committed (mkNetwork ps st) e t -> lifted_committed (mkNetwork ps' st') e t.