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Proposition 22.1.4768FB6124EEB2

Proposition 22.1.47.68FB6124EEB2 Let $\Gamma \in \mathrm{PSH}^{\mathrm{NA}}(X,\theta )$ and $\lambda \in \mathbb {R}_{>0}$. Then for any closed smooth positive $(1,1)$-form $\omega $ on $X$, we have

\[ P_{\lambda \theta +\omega }[\lambda \Gamma ]_{\mathcal{I}}=\lambda P_{\theta +\lambda ^{-1}\omega }[\Gamma ]_{\mathcal{I}}. \]

Proof. This follows immediately from 17.15.36. $\square$

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