The result of combining Causality with the Piece-of-Pie Model entails that equal things (other than the equal) are equal by getting a part of the equal. Given that any part of X must be smaller than X (see above), it follows that equal things (other than the equal) are equal by getting something that is smaller than the equal. But, Parmenides assumes, if X is smaller than Y, then X is unequal to Y, and hence X is (in some way) unequal. So every equal thing (other than the equal) is equal by gett