Remark 9.3.2.12. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category, let $X \in \operatorname{\mathcal{C}}$ be an object, and let $Y \in \operatorname{\mathcal{C}}$ be a retract of $X$. If $X$ is discrete, then $Y$ is also discrete. If $X$ is subterminal, then $Y$ is also subterminal. See Remark 9.3.1.5.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$