Question 5.2.0.7. Let $\operatorname{\mathcal{C}}$ be a simplicial set and let $\mathscr {F}: \mathrm{h} \mathit{\operatorname{\mathcal{C}}} \rightarrow \mathrm{h} \mathit{\operatorname{QCat}}$ be a functor. Can $\mathscr {F}$ be obtained as the homotopy transport representation of a cocartesian fibration $U: \operatorname{\mathcal{E}}\rightarrow \operatorname{\mathcal{C}}$?
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$