Theorems · Theorem · number theory
IsDedekindDomain.HeightOneSpectrum.valuationOfNeZero_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) (x : Kˣ),
↑(v.valuationOfNeZero x) = (IsDedekindDomain.HeightOneSpectrum.valuation K v) ↑x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- Multiplicativestatement · cited by 875
- Valuationstatement · cited by 823
- IsFractionRingstatement and proof · cited by 738
- IsDedekindDomainstatement and proof · cited by 668
- WithZerostatement · cited by 586
Cited by1
Results whose statement or proof uses this declaration.
- IsDedekindDomain.HeightOneSpectrum.valuation_of_unit_eqproof · cited by 1