proposition: Lemma add_list_empty_neutral_l: forall (a: list bool), (add_list (mk_list_false (length a)) a) = a.
proof: Proof. intros a. unfold add_list. apply (@add_list_carry_empty_neutral_l a). Qed.
imports: List Bool NArith Psatz Int63 Nnat ZArith Misc ProofIrrelevance