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 contiguous_range_exact_lo_elim_lt : forall es lo e, contiguous_range_exact_lo es lo -> In e es -> lo < eIndex e.