adityavarre
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adityavarre
True, thanks for the nice catch. We should change the lemma conditions such that the sub-gradient is non-empty in the interior points of the domain as done in (Theorem 3.1.13...
You can guarantee that the left part is ≥ 0 by redoing the same calculations for $ y - x = - (\epsilon) e_i $. for some small $ \epsilon...