Certain impossibility theorems that are closely related to Arrow’s have been thought relevant to single-profile choice even so. These theorems do not use Arrow’s interprofile condition \(I\) but use instead an intraprofile neutrality condition. This condition says that whenever within any single profile the pattern of individual preferences for one pair \(x\),\(y\) of options is the same as for another pair \(z,w\), the social ordering derived from this profile must also be the same for \(x\), \(y\) as it is for \(z\), \(w\):