Kerodon

\begin{equation} \label{equation:Kan-extension-existence} ( \operatorname{\mathcal{C}}^{0} \times _{ \operatorname{\mathcal{C}}} \operatorname{\mathcal{C}}_{/C} ) \rightarrow \operatorname{\mathcal{C}}^{0} \xrightarrow { F_0 } \operatorname{\mathcal{D}}\end{equation}