proposition: Lemma result_f_LNP_dec_all_has_property: P (fst f_LNP_dec_all) (snd f_LNP_dec_all).
proof: Proof. unfold f_LNP_dec_all. generalize (result_f_LNP_dec_next_has_property O (le_O_n n_bound)). destruct (f_LNP_dec_next 0 (le_O_n n_bound)). trivial. Qed.
imports: Recdef digits