Theorem 9.1.5.1. Let $\operatorname{\mathcal{C}}$ be a small $\infty $-category. Then $\operatorname{\mathcal{C}}$ is filtered if and only if the colimit functor $\varinjlim : \operatorname{Fun}(\operatorname{\mathcal{C}}, \operatorname{\mathcal{S}}) \rightarrow \operatorname{\mathcal{S}}$ preserves finite limits.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$