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We should have references to theorems, sections, equations, etc, within the paper, e.g.
By Theorem 2.8, ...
As shown in Section 3.4, ...
Applying (13) ...
This would require putting a \label on each \section, \begin{theorem}, \begin{equation}, etc, and using \ref to refer back to them. Probably the grammar rules should just insert a placeholder and let latex_pretty_print generate numbered labels.
In principle the perl code could keep track of whether each one is a theorem, lemma, etc, and adjust the wording at each \ref, but I think there may also be a LaTeX package to do this automatically.