$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$
9.42
\begin{equation} \begin{gathered}\label{equation:cocompletion-commutes-with-conjugate-fibrations} \xymatrix@R =50pt@C=50pt{ \operatorname{\mathcal{E}}^{\dagger } \times _{ \operatorname{\mathcal{C}}^{\operatorname{op}} } \operatorname{Tw}(\operatorname{\mathcal{C}}) \ar [d]^{H^{\dagger } \times \operatorname{id}} \ar [r]^-{ T} & \operatorname{\mathcal{E}}\ar [d]^{H} \\ \widehat{\operatorname{\mathcal{E}}}^{\dagger } \times _{ \operatorname{\mathcal{C}}^{\operatorname{op}} } \operatorname{Tw}(\operatorname{\mathcal{C}}) \ar [r]^-{ \widehat{T} } & \widehat{\operatorname{\mathcal{E}}} } \end{gathered} \end{equation}