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Commutative diagram defining adjoint functors.

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\begin{diagram}[pilespacing=5pt]
\Hom_{\scC}(X,GY) &  & \rTo^{\mbox{\scriptsize $\Hom(f,Gg)$}} & & \Hom_{\scC}(X',GY') \\
\dEqual<{\Phi_{X,Y}} &  &  &  & \dEqual>{\Phi_{X',Y'}} \\
\Hom_{\scD}(FX,Y) & & \rTo_{\mbox{\scriptsize $\Hom(Ff,g)$}} & & \Hom_{\scD}(FX',Y') \\
\end{diagram}