Corollary 7.2.5.8. Let $\operatorname{\mathcal{C}}$ be a category. Then the category $\operatorname{\mathcal{C}}$ is filtered (in the sense of Definition 7.2.4.1) if and only if the $\infty $-category $\operatorname{N}_{\bullet }(\operatorname{\mathcal{C}})$ is filtered (in the sense of Definition 7.2.4.3).
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$