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This is an addendum to a previous article, which aims to provide the proofsof some results in that paper (Theorem 7.5 and Proposition 9.15) which wereremoved from its final version. The reason for such omission is that theseproofs follow quite closely others already present in the literature, withminor modifications. I make them publicly available for the sake ofcompleteness.

Regularity and solvability of linear differential operators in Gevrey spaces: omitted proofs