Remark 9.1.8.3. In the situation of Lemma 9.1.8.2, if the $\infty $-category $\operatorname{\mathcal{C}}$ is $\lambda $-small for some cardinal $\lambda > \kappa $, then the $\infty $-category $\widetilde{\operatorname{\mathcal{C}}}$ constructed in the proof is also $\lambda $-small.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$