Example 1.5.1.2. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category and let $\operatorname{\mathcal{D}}$ be an ordinary category. Using Proposition 1.4.5.7, we obtain a bijection
\[ \xymatrix@R =50pt@C=50pt{ \{ \text{Functors of $\infty $-categories from $\operatorname{\mathcal{C}}$ to $\operatorname{N}_{\bullet }(\operatorname{\mathcal{D}})$} \} \ar [d]^{\sim } \\ \{ \text{Functors of ordinary categories from $\mathrm{h} \mathit{\operatorname{\mathcal{C}}}$ to $\operatorname{\mathcal{D}}$}\} . } \]