Variant 9.1.6.4. The inclusion functor $\operatorname{N}_{\bullet }( \operatorname{Kan}) \hookrightarrow \operatorname{N}_{\bullet }^{\operatorname{hc}}( \operatorname{Kan}) = \operatorname{\mathcal{S}}$ preserves colimits indexed by small filtered categories.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$