Definition lifted_entries_gt_0 (net : ghost_log_network) : Prop :=
    forall h e,
      In e (log (snd (nwState net h))) -> eIndex e > 0.

Lemma fold_left_maximum_ind : forall l x (P : nat -> Prop), P x -> (forall y, In y l -> P y) -> P (fold_left max l x).