Kerodon

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

Exercise 6.2.5.16. Prove Lemma 6.2.5.15 in the special case where $\operatorname{\mathcal{C}}$ is (the nerve of) an ordinary category.