Proof using.
induction xs; intros; simpl in *; auto.
eauto using NOABT_cons,
NOABT_head,
NOABT_tail.
Qed.

(* Specifications: *)
Lemma NOABT_singleton_inr_nil :
forall A h,
@no_output_at_backup_trace A [(h, inr [])].