induction n; intuition; simpl in *.
econstructor.
eapply in_nil.
econstructor.
eapply app_NoDup.
eapply map_NoDup; eauto.
intros.
eapply vector_cons_ne; eauto.
eapply map_NoDup; eauto.
intros.
eapply vector_cons_ne; eauto.
intuition.
apply in_map_iff in H.
apply in_map_iff in H0.
destruct H.
destruct H0.
intuition.
subst.
inversion H.
intuition.
apply in_map_iff in H.
apply in_map_iff in H0.
destruct H.
destruct H0.
intuition.
subst.
inversion H.
Qed.

Lemma getAllBlists_NoDup : forall n,
NoDup (getAllBlists n).