induction 1; intuition; simpl in *.
intuition; subst.
eapply getSupport_In_evalDet; eauto.
intuition.
unfold getTreeSupport in *.
eapply in_getUnique_if in H2.
simpl in *.
eapply in_app_or in H2.
intuition.
eapply IHdat_correct_h1.
eapply in_getUnique.
eauto.
eauto using in_getUnique.
Qed.

Lemma getTreeSupport_not_in : forall (A : Set)(eqd : eq_dec A)(c : Comp A)(t : DistApproxTree A) n a,
dat_correct c n t ->
~In a (getSupport c) ->
~In a (getTreeSupport eqd t).