Suppose that an individual chooses fruit salad from the set S1 = {fruit salad, ice cream, cheese cake}, it chooses fruit salad and apple crumble from the set S2 = {fruit salad, ice cream, cheese cake, apple crumble}, and it chooses apple crumble and coffee from S3 = {fruit salad, ice cream, cheese cake, apple crumble, coffee}. Are these choices compatible with properties , , and ?