Remark 9.3.4.22. In the statement of Proposition 9.3.4.21, it is not necessary to assume that the $\infty $-categories $\operatorname{\mathcal{C}}$ and $\operatorname{\mathcal{D}}$ admit pullbacks (we only need to know that $F$ preserves those pullback squares which exist in $\operatorname{\mathcal{C}}$).
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$