Definition lifted_no_entries_past_current_term_host net :=
    forall (h : name) e,
      In e (log (snd (nwState net h))) ->
      eTerm e <= currentTerm (snd (nwState net h)).

Lemma sorted_maxIndex_app : forall l1 l2, sorted (l1 ++ l2) -> maxIndex l2 <= maxIndex (l1 ++ l2).