Lemma 5.7 . [016V]

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Lemma 5.7.

Assume that ${\mathcal{X}}$ is lc, and pick $v\in{\mathcal{X}}^{\mathrm{an}}$ with $A_{\mathcal{X}}(v)=0$ . Then $c_{\mathcal{X}}(v)$ is an lc center of ${\mathcal{X}}$ .