\] Suppose that for each $i\in I$, $A_i:{\ensuremath{\mathcal H}}\rightrightarrows{\ensuremath{\mathcal H}}$ is a set-valued mapping. Then ${\ensuremath{\mathcal{R}_{\mu}({\bf A},{\boldsymbol \lambda})}}$ is maximally monotone if and only if for each $i\in I$, $A_i$ is maximally monotone. 