Variant 9.2.3.22. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category, let $C \in \operatorname{\mathcal{C}}$ be an object, and let $W$ be the collection of all morphisms $w: X \rightarrow Y$ of $\operatorname{\mathcal{C}}$ such that $C$ is $w$-local. Then $W$ is weakly saturated. This follows from Remark 9.2.1.10, Remark 9.2.1.11, and Variant 9.2.3.18.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$