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%%% Primary Title: Grothendieck's theorem
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\begin{document}
\begin{theorem}
{\bf Grothendieck's theorem}:
``Every $\mathcal{A}b5$ category with a generator has an
injective cogenerator'' (Grothendieck 1957).
\end{theorem}
This initial statement of Grothendieck's theorem is now restated as:
\begin{theorem}
Every \htmladdnormallink{Grothendieck category}{http://planetphysics.us/encyclopedia/GrothendieckCategory.html} $\mathcal{G}$ has an \htmladdnormallink{injective}{http://planetphysics.us/encyclopedia/BCConjecture.html} cogenerator.
\end{theorem}
\end{document}
