Remark 7.1.4.6 (Transitivity). Let $U: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{D}}$ and $V: \operatorname{\mathcal{D}}\rightarrow \operatorname{\mathcal{E}}$ be functors of $\infty $-categories, and let $Y \in \operatorname{\mathcal{C}}$ be an object for which $U(Y)$ is $V$-final. Then $Y$ is $U$-final if and only if it is $(V \circ U)$-final.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$