 It is easy to see that strong global supervenience entails intermediate global supervenience, which in turn entails weak global supervenience. If every B-preserving isomorphism between two worlds must itself be A-preserving, then if there are any B-preserving isomorphisms between two worlds at all, at least one of them must be A-preserving. So, strong global supervenience entails intermediate. And if at least one of any existing B-preserving isomorphisms between two worlds must itself be A-preserving, then it obviously follows that if there is a B-preserving isomorphism between two worlds, there must also be an A-preserving one. Thus, intermediate global supervenience entails weak global supervenience.