Before revision:  We show that any strategy which can rationally be chosen under common belief in future rationality in a minimal compact game if and only if it satisfies this property in every extensive form game which can be related to it via some compactification process.
After revision:  We show that any strategy which can rationally be chosen under common belief in future rationality in a minimal compact game if and only if it satisfies this property in every extensive form game which is related to it via some compactification process.