Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Remark 8.4.1.6. Let $\operatorname{\mathcal{D}}$ be an $\infty $-category. Then a full subcategory $\operatorname{\mathcal{C}}\subseteq \operatorname{\mathcal{D}}$ is dense if and only if the identity functor $\operatorname{id}_{\operatorname{\mathcal{D}}}$ is left Kan extended from $\operatorname{\mathcal{C}}$.