PomeDefinition 16.3.5.395DB7860949 Given $\varphi \in \mathrm{PSH}(X,\theta )$, we define its $P$-envelope as follows:
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16.3.6
\begin{equation} P_{\theta }[\varphi ]\coloneqq \operatorname *{sup}_{}{}\! {}^{*}\left\{ \psi \in \mathrm{PSH}(X,\theta ): \psi \leq 0,\psi \preceq \varphi \right\} . \end{equation}
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