Example 7.1.4.2. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category and let $U: \operatorname{\mathcal{C}}\rightarrow \Delta ^0$ be the projection map. Then an object $Y \in \operatorname{\mathcal{C}}$ is $U$-initial if and only if it is initial, and $U$-final if and only if it is final.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$