Definition 18.4.1.F1F202AEE8FD For $u\in \mathrm{PSH}(X,\theta )$ define
\[ P_\theta [u]_{\mathcal I} :=\left(\sup \{ v\in \mathrm{PSH}(X,\theta ):v\leq 0, \ v\sim _{\mathcal I}u\} \right)^*. \]
F1F202AEE8FDDefinition 18.4.1.F1F202AEE8FD For $u\in \mathrm{PSH}(X,\theta )$ define
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