# Kerodon

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

Remark 5.5.4.7. Let $F: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{D}}$ be a functor between $\infty$-categories. Then $F$ is an equivalence of $\infty$-categories (in the sense of Definition 4.5.1.10) if and only if it is an isomorphism in the $\infty$-category $\operatorname{\mathcal{QC}}$.