PomeDefinition 22.1.41.65E2E07550F1 Let $(\Gamma ^ i)_{i\in I}$ be a decreasing net in $\mathrm{PSH}^{\mathrm{NA}}(X,\theta )$. Assume that
then we define $\inf _{i\in I}\Gamma ^ i\in \mathrm{PSH}^{\mathrm{NA}}(X,\theta )$ as the unique element such that for each $\omega \in \textup{Käh}(X)$, we have
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\begin{equation} \left( \inf _{i\in I}\Gamma ^ i \right)^{\theta +\omega }=\inf _{i\in I} \Gamma ^{i,\theta +\omega }. \end{equation}
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