 CU1 looks to be a consequence of universalism, given our assumption that the ks all existed at t. The idea behind CU2 is that there would seem to be only two nonarbitrary accounts of the persistence conditions of the widely scattered fusion F: (i) that F exists for as long as the ks are in precisely the arrangement that they enjoy at t or (ii) that F exists for as long as the ks exist. Option (i) imposes an implausibly severe constraint on the sorts of changes an object can survive, which leaves us with option (ii)—from which it follows that, since the ks exist now, so does F. The idea behind CU3 is that there cannot be distinct objects which (like F and K) have exactly the same parts and exactly the same location. CU4 is a straightforward consequence of Leibniz’s Law: F by hypothesis existed at t, so if F = K then K must also have existed at t. As for CU5, tables plausibly are essentially tables, in which case K could not have existed before the table was made.