Definition terms_and_indices_from_one_log_ind (net : network) : Prop :=
    terms_and_indices_from_one_log net /\ terms_and_indices_from_one_log_nw net.

Lemma terms_and_indices_from_one_In : forall (xs ys : list entry), (forall x, In x xs -> In x ys) -> terms_and_indices_from_one ys -> terms_and_indices_from_one xs.