Theorems · Theorem · number theory
IsDedekindDomain.FiniteAdeleRing.unitsEquiv_finite_valued_eq_one
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDedekindDomain R] {K : Type u_2} [inst_2 : Field K]
[inst_3 : Algebra R K] [inst_4 : IsFractionRing R K] (a : (IsDedekindDomain.FiniteAdeleRing R K)ˣ),
∀ᶠ (v : IsDedekindDomain.HeightOneSpectrum R) in Filter.cofinite,
Valued.v ↑(((RestrictedProduct.unitsEquiv (IsDedekindDomain.HeightOneSpectrum.adicCompletion K)) a) v) = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- SetLike.coestatement and proof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Subgroupstatement · cited by 3,593
- Filter.Eventuallystatement · cited by 3,134
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- MulEquivstatement · cited by 1,142
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