 According to SDMI, the preferred context of \(S\) is defined by the projectors \(\Pi_i^a\) and the preferred context of \(M\) is defined by the projectors \(\Pi_i^p\). Therefore, also in SDMI, the observables \(A\) of \(S\) and \(P\) of \(M\) acquire actual definite values, whose probabilities are given by the diagonal elements of the diagonalized reduced states.