$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$
7.36
\begin{equation} \begin{gathered}\label{equation:coslice-over-Kan-extension} \xymatrix@R =50pt@C=50pt{ \operatorname{\mathcal{D}}_{F/} \times _{\operatorname{\mathcal{D}}} \{ D\} \ar [r] \ar [d] & \operatorname{\mathcal{D}}_{F_0 /} \times _{\operatorname{\mathcal{D}}} \{ D\} \ar [d] \\ \operatorname{\mathcal{E}}_{ (U \circ F) / } \times _{\operatorname{\mathcal{E}}} \{ U(D) \} \ar [r] & \{ U(D) \} \times _{\operatorname{\mathcal{E}}_{ (U \circ F_0) / }} \times _{ \operatorname{\mathcal{E}}} \{ U(D) \} } \end{gathered} \end{equation}