[Merged by Bors] - refactor(analysis/analytic/composition): extend definition, extract a lemma from a proof #5850
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sgouezel
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… lemma from a proof (#5850) Extract a standalone lemma of the proof that the composition of two analytic functions is well-behaved, and extend a little bit the definition of the sets which are involved in the corresponding change of variables.
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Extract a standalone lemma of the proof that the composition of two analytic functions is well-behaved, and extend a little bit the definition of the sets which are involved in the corresponding change of variables.
The lemma will be useful when studying the inverse of an analytic function in a later PR. There is no new material in this PR, only moving stuff around.