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 handleAppendEntriesReply_preserves_commit : forall (net net' : ghost_log_network) h src t es b st' l e t', handleAppendEntriesReply h (snd (nwState net h)) src t es b = (st', l) -> (forall h', nwState net' h' = update name_eq_dec (nwState net) h (fst (nwState net h), st') h') -> lifted_committed net e t' -> lifted_committed net' e t'.