Remark 7.6.6.5. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category which is $\kappa $-complete for some infinite cardinal $\kappa $. Then, for every simplicial set $K$, the $\infty $-category $\operatorname{Fun}(K, \operatorname{\mathcal{C}})$ is also $\kappa $-complete. See Proposition 7.1.7.2.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$