Remark 8.5.1.2. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category containing an object $X$. Then an object $Y \in \operatorname{\mathcal{C}}$ is a retract of $X$ (in the sense of Definition 8.5.1.1) if and only if it is a retract of $X$ when viewed as an object of the homotopy category $\mathrm{h} \mathit{\operatorname{\mathcal{C}}}$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$