\\ &\quad+ \sum^T_{t=0} \| f_t \|_{\infty} \| \mu^{\wh {\bd \gamma}, \bd f}_t - \pi^{\wh {\bd \gamma}, \bd f}_t \|_0\\ &\le \sup_{P \in \cM(\sU | \sX)} \sum_x \pi_P(x) \left[\sum^{T-0}_{t=0} \left( \sum_u P^{\wh {\bd \gamma}, \bd f}_t(u|x) \wh Q^{\wh {\bd \gamma}, \bd f}_t(x,u) \right) + \sum_u P^{\wh {\bd \gamma}, \bd f}_T(u|x) \wh Q^{\wh {\bd \gamma}, \bd f}_T(x,u)