Remark 2.3.4.3. In [MR1897816], Duskin proves a stronger version of Theorem 2.3.4.1, which also identifies the essential image of the functor $\operatorname{N}^{\operatorname{D}}_{\bullet }: \operatorname{2Cat}_{\operatorname{ULax}} \rightarrow \operatorname{Set_{\Delta }}$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$