. Inspecting the *0**, *0**, *0** slices, we then see (from Lemma 0) that only the *0** slice can have 00 points; since we are assuming that this slicing is some permutation of 00=00+00+00, we conclude that the *0** slice must have exactly 00 points, and is thus described precisely by Lemma 0. Similarly for the **0* and ***0 slices. Indeed, by Lemma 0, we see that the 00-point set must agree exactly with 