Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Remark 6.3.3.9. Let $F: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{D}}$ and $G: \operatorname{\mathcal{D}}\rightarrow \operatorname{\mathcal{E}}$ be functors of $\infty $-categories, where $F$ is a reflective localization functor. Then $G$ is a reflective localization functor if and only if $(G \circ F)$ is a reflective localization functor. In particular, the collection of reflective localization functors is closed under composition. See Remarks 6.2.1.8 and 4.6.2.5.