# Kerodon

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

Corollary 5.5.4.3. Let $\mathscr {F}: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{QC}}$ be a functor of $\infty$-categories. Then the simplicial set $\int _{\operatorname{\mathcal{C}}} \mathscr {F}$ of Definition 5.5.4.1 is an $\infty$-category.