Corollary 7.2.1.13. Let $f: A \rightarrow B$ be a categorical equivalence of simplicial sets. Then $f$ is left cofinal and right cofinal.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$
Corollary 7.2.1.13. Let $f: A \rightarrow B$ be a categorical equivalence of simplicial sets. Then $f$ is left cofinal and right cofinal.
Proof. Combine Proposition 7.2.1.10 with Example 6.3.1.12. $\square$