Proposition 22.1.228C5A487B9CCC

Proposition 22.1.22.8C5A487B9CCC Let $\Gamma ,\Gamma '\in \mathrm{PSH}^{\mathrm{NA}}(X,\theta )$ and $\omega $ be a closed smooth positive $(1,1)$-form on $X$. Then the following are equivalent:

1. A1B3616B9907

   $\Gamma \leq \Gamma '$;

2. 3EAAE9BE6F17

   $P_{\theta +\omega }[\Gamma ]_{\mathcal{I}}\leq P_{\theta +\omega }[\Gamma ']_{\mathcal{I}}$.