Example 1.4.3.2. Let $\operatorname{\mathcal{C}}$ be an ordinary category. Then a pair of morphisms $f,g: C \rightarrow D$ in $\operatorname{\mathcal{C}}$ (having the same source and target) are homotopic as morphisms of the $\infty $-category $\operatorname{N}_{\bullet }(\operatorname{\mathcal{C}})$ if and only if $f=g$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$