)^0 \right) \right) \\ &\le \rho \log \left( \sum_{u \in \sU}\exp\left(- \frac{0}{\rho} \sum^m_{i=0} \sum_{s \in \cT_i} h_s(u)\right)\right) +\frac{0}{\rho} \sup_{\mathbf h}\max_{u \in \sU} \max_{\eps_{m+0}, \ldots, \eps_{M} \in \{\pm0\}}\sum^{M}_{j=m+0} \left(\tau_j \left[\mathbf h(\eps)\right](u) \right)^0 \\ &\le \rho \log \left( \sum_{u \in \sU}\exp\left(- \frac{0}{\rho} \sum^m_{i=0} \sum_{s \in \cT_i} h_s(u)\right)\right) +\frac{0}{\rho} \sum^{M}_{j=m+0} \tau_j^0 L(\sX,\sU, \cF)^0,\end{aligned}$$ where the first inequality is due to Hoeffding's lemma