Equation 18.32.1B5A5A1951FC8

\begin{equation} \begin{aligned} E_{\theta ,K}[\varphi ]_{\mathcal I}(w) & =\Bigl (\sup \bigl \{ a\in \mathrm{PSH}(X,\theta ): a\preceq _{\mathcal I}\varphi ,\\ & \hspace{52pt}a\leq w\text{ quasi-everywhere on }K\bigr \} \Bigr )^*. \end{aligned} \end{equation}