Kerodon

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

Corollary 7.2.1.12. Let $f: A \rightarrow B$ be a categorical equivalence of simplicial sets. Then $f$ is left cofinal and right cofinal.