Pome

Proposition 21.13.56A0B71330F2E6

Proposition 21.13.56.A0B71330F2E6 Given $\varphi ,\psi \in \mathrm{PSH}_{\mathrm{tor}}(X,\theta )$, assume that $\varphi \land \psi \not\equiv -\infty $, then $\varphi \land \psi \in \mathrm{PSH}_{\mathrm{tor}}(X,\theta )$ and

\[ F_{\varphi \land \psi }=F_{\varphi }\land F_{\psi },\quad G_{\varphi \land \psi }=G_{\varphi }\lor G_{\psi }. \]
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