Example 3.5.3.5. Let $\operatorname{\mathcal{C}}$ be a $2$-category. Then the Duskin nerve $\operatorname{N}^{\operatorname{D}}_{\bullet }(\operatorname{\mathcal{C}})$ is $3$-coskeletal. See Corollary 2.3.1.10.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$