Proposition 22.1.32.9CACCE9D7690 Let $\Gamma ,\Gamma '\in \mathrm{PSH}^{\mathrm{NA}}(X,\theta )$ and $\omega $ be a closed smooth positive $(1,1)$-form on $X$. Then
\[ P_{\theta +\omega }[\Gamma \lor \Gamma ']_{\mathcal{I}}=P_{\theta +\omega }[\Gamma ]_{\mathcal{I}}\lor P_{\theta +\omega }[\Gamma ']_{\mathcal{I}}. \]
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