# Kerodon

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

Proposition 8.2.4.2. Let $\operatorname{\mathcal{C}}$ be a locally Kan simplicial category. Then the functor $\mathscr {H}_{\operatorname{\mathcal{C}}}$ of Construction 8.2.4.1 is a $\operatorname{Hom}$-functor for the $\infty$-category $\operatorname{N}_{\bullet }^{\operatorname{hc}}(\operatorname{\mathcal{C}})$.