 The laws are often similar but not identical. For example integer multiplication distributes over addition, \(x(y+z) = xy+xz\), but not conversely, for example \(2+(3\times 5) = 17\) but \((2+3)\times(2+5) = 35\). In the analogy that makes intersection the set theoretic counterpart of multiplication and union that of addition, intersection distributes over union,