Example 1.4.6.2. Let $\operatorname{\mathcal{C}}$ be an ordinary category. Then a morphism $f: X \rightarrow Y$ of $\operatorname{\mathcal{C}}$ is an isomorphism if and only if it is an isomorphism when regarded as a morphism of the $\infty $-category $\operatorname{N}_{\bullet }(\operatorname{\mathcal{C}})$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$