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$$
\def\cod{{\rm cod}\,} \def\dom{{\rm dom}\,}
\cellwidth+=2mm
\Dg
& F & _{\cod u} & \rEq & F & _{\cod u} & & & F_i \\
& \uTo >{p_u} & & & \uTo & & & \ruTo <{p_i} \tx{-5pt} &
\uDashto >{\mu_i} \\
{\mit\Pi}_{u:j\to k}F_k = {\mit\Pi}_u &
F & _{\cod u} & \lTo ^f \up{3pt} \lTo _g \up{-3pt}
& {\mit\Pi}_i & & F_i & \lDashto ^e & d \\
& \dTo >{p_u} & & & \dTo >{p_{\dom u}} \\
& F & _{\cod u} & \lTo ^{Fu} & F & _{\dom u} \\
\endDg
$$
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