Remark 10.2.4.12 (Monotonicity). Let $X_{\bullet }$ be a simplicial object of an $\infty $-category $\operatorname{\mathcal{C}}$ and let $m \leq n$ be integers. If $X_{\bullet }$ is $m$-coskeletal, then it is also $n$-coskeletal. See Corollary 7.3.8.8.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$