Theorems · Theorem · number theory
IsDedekindDomain.selmerGroup.fromUnit_ker
∀ {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] {n : ℕ} [hn : Fact (0 < n)],
IsDedekindDomain.selmerGroup.fromUnit.ker = (powMonoidHom n).range- Cited by
- 1 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.
Cites39
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · 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
- Algebra.algebraMapproof · cited by 4,706
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- Factstatement and proof · cited by 2,726
- HasQuotient.Quotientstatement · cited by 2,301
- Units.valproof · cited by 1,966
- map_mulproof · cited by 1,137
Cited by2
Results whose statement or proof uses this declaration.
- IsDedekindDomain.selmerGroup.fromUnitLiftproof · cited by 1
- IsDedekindDomain.selmerGroup.fromUnitLift_injectiveproof · cited by 0