Proposition 16.8.172E8F613E7CBE

Proposition 16.8.17.2E8F613E7CBE Let $\theta $ be a closed real smooth $(1,1)$-form on $X$ and $\varphi ,\psi \in \mathrm{PSH}(X,\theta )$. Then the following are equivalent:

1. 42227A6623F5

   $\varphi \preceq _{\mathcal{I}}\psi $;

2. 6B5F8E56CB73

   $P_{\theta }[\varphi ]_{\mathcal{I}}\leq P_{\theta }[\psi ]_{\mathcal{I}}$.