the inverse set of $\ \left(A,<\right) $ is $\ \left(A,<^{-1}\right) $ with $\ a<^{-1}b\iff b<a$
the set and its inverse are not well ordered
the inverse set of $\ \left(A,<\right) $ is $\ \left(A,<^{-1}\right) $ with $\ a<^{-1}b\iff b<a$
the set and its inverse are not well ordered
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