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feat(RingTheory.DedekindDomain.Factorization): add factorization of fractional ideals (#7778)
We show that every nonzero fractional ideal `I` of a Dedekind domain `R` can be factored as a finprod `∏_v v^{n_v}` over the maximal ideals of `R`, where the exponents `n_v` are integers. We define `FractionalIdeal.count K v I` to be `n_v`, and we prove some of its properties.
Co-authored-by: Mario Carneiro <di.gama@gmail.com>
Co-authored-by: Vierkantor <vierkantor@vierkantor.com>
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