 Say that a property is indiscriminately necessary iff it is necessarily had by everything. The second consequence of (13), understood as a characterisation of duplication preservation, is that any two properties that are indiscriminately necessary are duplication preserving. Consider, for example, the indiscriminately necessary property of being such that there is a number (where we are assuming that numbers necessarily exist). Since all things at all possible worlds have this property, it is a duplication preserving property.