Equation 17.15.293758587BAFAA

\begin{equation} \left( \operatorname *{sup}_{i\in I}{}\! {}^{*}\Gamma ^ i \right)_{-\infty }=P_{\theta }\left[ \operatorname *{sup}_{i\in I}{}\! {}^{*}\Gamma ^ i_{-\infty } \right]. \end{equation}