Pome

Proposition 19.4.281934C9D19460

Proposition 19.4.28.1934C9D19460 Let $\varphi ,\psi \in \mathrm{PSH}(X,\theta )_{>0}$. Assume that $\varphi \preceq _{\mathcal{I}} \psi $. Then

44ACC02FAF04 19.4.29
\begin{equation} \Delta _{\nu }(\theta ,\varphi ) \subseteq \Delta _{\nu }(\theta ,\psi ). \end{equation}

Proof. This follows from corollary 19.2.13. $\square$

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