Proposition 21.12.37.852502204924 Let $\varphi \in \mathrm{PSH}_{\mathrm{tor}}(X,\omega )$. Then the following are equivalent:
9E56D59BF68F$\varphi \in \mathcal{E}^{\infty }(X,\omega )$;
E9419C789E2A$F_{\varphi }\in \mathcal{E}^{\infty }(N_{\mathbb {R}},P)$;
DC7FED6558A9$G_{\varphi }\sim G_0$.
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