Theorems · Theorem · number theory
IsDedekindDomain.selmerGroup.valuation_ker_eq
∀ {R : Type u} [inst : CommRing R] [inst_1 : IsDedekindDomain R] {K : Type v} [inst_2 : Field K] [inst_3 : Algebra R K]
[inst_4 : IsFractionRing R K] {S : Set (IsDedekindDomain.HeightOneSpectrum R)} {n : ℕ},
IsDedekindDomain.selmerGroup.valuation.ker = IsDedekindDomain.selmerGroup.subgroupOf IsDedekindDomain.selmerGroup- Cited by
- 0 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Set.Elemstatement and proof · cited by 7,166
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- HasQuotient.Quotientstatement and proof · cited by 2,301
- ZModstatement · cited by 1,024
- Multiplicativestatement · cited by 875
- IsFractionRingstatement and proof · cited by 738
- IsDedekindDomainstatement and proof · cited by 668
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.