[Merged by Bors] - feat(*): facts about degrees/multiplicites of derivatives #12856
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Co-authored-by: Antoine Chambert-Loir <antoine.chambert-loir@u-paris.fr>
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For `t` an `n`th repeated root of `p`, we prove that it is an `n-1`th repeated root of `p'` (and tidy the section around this). We also sharpen the theorem stating that `deg p' < deg p`. Co-authored-by: Antoine Chambert-Loir <antoine.chambert-loir@u-paris.fr>
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For
tannth repeated root ofp, we prove that it is ann-1th repeated root ofp'(and tidy the section around this). We also sharpen the theorem stating thatdeg p' < deg p.Co-authored-by: Antoine Chambert-Loir antoine.chambert-loir@u-paris.fr