Theorems · Theorem · number theory
IsDedekindDomain.HeightOneSpectrum.valuation_of_unit_mod_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] (v : IsDedekindDomain.HeightOneSpectrum R) (n : ℕ) (x : Rˣ),
(v.valuationOfNeZeroMod n) ↑((Units.map ↑(algebraMap R K)) x) = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement and proof · cited by 4,706
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- HasQuotient.Quotientstatement and proof · cited by 2,301
- ZModstatement and proof · cited by 1,024
- Multiplicativestatement and proof · cited by 875
Cited by1
Results whose statement or proof uses this declaration.
- IsDedekindDomain.selmerGroup.fromUnitproof · cited by 2