Theorems · Theorem · number theory
IsDedekindDomain.HeightOneSpectrum.valuationOfNeZeroToFun_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.valuationOfNeZeroToFun x) = (IsDedekindDomain.HeightOneSpectrum.valuation K v) ↑x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites45
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
- CommSemiringproof · cited by 10,911
- Fieldstatement and proof · cited by 7,404
- Submonoidproof · cited by 3,086
- Unitsstatement and proof · cited by 2,804
- Nontrivialproof · cited by 2,416
- Units.valstatement and proof · cited by 1,966
- Ideal.spanproof · cited by 948
- nonZeroDivisorsproof · cited by 895
- Multiplicativestatement and proof · cited by 875
Cited by1
Results whose statement or proof uses this declaration.
- IsDedekindDomain.HeightOneSpectrum.valuationOfNeZero_eqproof · cited by 1