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Pietro Monticonerzach
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Update addition.tex
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content/set-theory/ord-arithmetic/addition.tex

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\beta = \ordtype{\alpha \disjointsum \beta, \rlexless}$.
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\end{defn}
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\noindent
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Note that we slgihtly abused notation here; strictly we should write ``$\Setabs{\tuple{x,y}\in \alpha\disjointsum\beta}{x \rlexless y}$'' in place of ``$\rlexless$''. For brevity, though, we will continue to abuse notation in this way in what follows.
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Note that we slightly abused notation here; strictly we should write ``$\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.
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The following result, together with
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\olref[ordinals][ordtype]{thmOrdinalRepresentation}, confirms that our

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