Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Corollary 9.4.6.30. Let $U: \operatorname{\mathcal{E}}\rightarrow \operatorname{\mathcal{C}}$ be a flat isofibration of simplicial sets. Then $U$ is exponentiable.

Proof. By virtue of Proposition 9.4.6.29, we may assume that $\operatorname{\mathcal{C}}$ is an $\infty $-category. In this case, the result follows from Proposition 9.4.6.17. $\square$