induction ls; intuition; simpl in *.
econstructor.
inversion H; subst; clear H.
econstructor.
intuition.
apply in_map_iff in H.
destruct H.
intuition.
eapply H0; eauto.
intuition.
subst.
intuition.
eapply IHls; eauto.
Qed.

Lemma getAllBvectors_NoDup : forall (n : nat),
NoDup (getAllBvectors n).