 \left( \prod_{j=0}^{s}{C_{j}({\langle c_{j}, g_{j} \rangle})} \right) \,      \pgf({\langle r, u\prod_{j=0}^{s}{\phi_{g_{j}}} \rangle}) \right\} \\ &= \left( \prod_{j=0}^{s}{C_{j}({\langle c_{j}, g_{j} \rangle})} \right) \