I says that whenever two profiles \(\langle R_{i}\rangle\) and \(\langle R^*_{i}\rangle\) are identical, as far as some alternatives \(x\) and \(y\) are concerned, so too must the social preference relations \(f\langle R_{i}\rangle\) and \(f\langle R^*_{i}\rangle\) be identical, as far as \(x\) and \(y\) are concerned. For example, consider the profile: