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Update addition.tex
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Pietro Monticone authored and rzach committed Sep 5, 2023
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\beta = \ordtype{\alpha \disjointsum \beta, \rlexless}$.
\end{defn}
\noindent
Note that we slgihtly abused notation here; strictly we should write ``$\Setabs{\tuple{x,y}\in \alpha\disjointsum\beta}{x \rlexless y}$'' in place of ``$\rlexless$''. For brevity, though, we will continue to abuse notation in this way in what follows.
Note that we slightly abused notation here; strictly we should write ``$\Setabs{\tuple{x,y}\in \alpha\disjointsum\beta}{x \rlexless y}$'' in place of ``$\rlexless$''. For brevity, though, we will continue to abuse notation in this way in what follows.

The following result, together with
\olref[ordinals][ordtype]{thmOrdinalRepresentation}, confirms that our
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