We have a bijection
\[ \operatorname {\mathrm{Nat}}(h^{A},F) \cong F(A), \]
natural in $A\in \operatorname {\mathrm{Obj}}(\mathcal{C})$, determining a natural isomorphism of functors
\[ \operatorname {\mathrm{Nat}}(h^{(-)},F) \cong F. \]
