Lemma 6 [057S]

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Lemma 6

There is a uniform constant $C>0$ depending only on $n,\|e^{nF_{t}}\|_{L^{1}(\,{\rm log}\,L)^{1}(\omega_{X}^{n})}$ , $\omega_{X}$ , $\chi$ such that for all $t\in(0,1]$

\displaystyle E_{t}(\varphi_{t})\leq C.

(4.4)