Example 4.8.6.26. Let $\operatorname{\mathcal{C}}$ be a simplicial set and let $F: \operatorname{\mathcal{C}}\rightarrow \Delta ^0$ be the projection map. Then $F$ is an $n$-categorical inner fibration if and only if $\operatorname{\mathcal{C}}$ is an $(n,1)$-category.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$