Corollary 7.1.4.13. Let $\operatorname{\mathcal{C}}$ and $\operatorname{\mathcal{D}}$ be $\infty $-categories which are equivalent to one another, and let $K$ be a simplicial set. Then $\operatorname{\mathcal{C}}$ admits $K$-indexed (co)limits if and only if $\operatorname{\mathcal{D}}$ admits $K$-indexed (co)limits.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$