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Corollary 16.3.20E10CA97A11EF

Corollary 16.3.20.E10CA97A11EF Let $\varphi \in \mathrm{PSH}(X,\theta )_{>0}$. Then $P_{\theta }[\varphi ]$ is a model potential in $\mathrm{PSH}(X,\theta )$. Moreover,

\[ \int _ X \theta _{P_{\theta }[\varphi ]}^ n=\int _ X \theta _{\varphi }^ n. \]

Proof. This follows immediately from theorem 16.3.15 and proposition 16.3.10. $\square$

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