I'm trying to prove the statement in the title, a.e existence of ordinal substraction. I think it can be done with transfinite induction, but do any of you have a better/easier way?
thanks
2026-03-30 00:24:34.1774830274
if $\alpha\leq\beta$ then there is $\gamma$ such as $\alpha+\gamma=\beta$
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HINT: Consider the unique $\gamma$ isomorphic to $\beta\setminus\alpha$.