Proposition 21.12.19EEFA0F6B0CF6

Proposition 21.12.19.EEFA0F6B0CF6 Given $\varphi ,\psi \in \mathrm{PSH}_{\mathrm{tor}}(X,\omega )$. The following are equivalent:

1. 7C32E25C10B0

   $\varphi \preceq \psi $,

2. 94A12C520688

   $F_{\varphi }\preceq F_{\psi }$, and

3. 8A2AEA53E95B

   $G_{\psi }\preceq G_{\varphi }$.

The same holds if we replace all $\preceq $'s by $\leq $.