[Merged by Bors] - feat(NumberField/CanonicalEmbedding/FundamentalCone): Prove equivalence with principal ideals #12333
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… the action of the units of a number field (#12268) Let `K` be a number field of signature `(r₁, r₂)`. This PR defines the fundamental cone: it is a cone in the mixed space that is a fundamental domain for the action of `(𝓞 K)ˣ` modulo torsion. In a later PR #12333, we prove that points in the fundamental cone coming from `(𝓞 K)` modulo torsion are in a norm-preserving correspondence with the non-zero principal ideals of `(𝓞 K)`. This PR is part of the proof of the Analytic Class Number Formula. Co-authored-by: Xavier Roblot <[email protected]>
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…lCone.lean Co-authored-by: Riccardo Brasca <[email protected]>
…e_equiv' into xfr_fundamental_cone_equiv
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…ce with principal ideals (#12333) We prove that there is an equiv between the nonzero integral points in the fundamental cone and the nonzero integral ideals of `K` and that this equiv preserves norm. This PR is part of the proof of the Analytic Class Number Formula. Co-authored-by: Xavier Roblot <[email protected]>
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We prove that there is an equiv between the nonzero integral points in the fundamental cone and the nonzero integral ideals of
Kand that this equiv preserves norm.This PR is part of the proof of the Analytic Class Number Formula.
Ideal.associatesEquivIsPrincipalfor generators that are non-zero-divisors #12780