Theorems · Theorem · commutative algebra
IsDedekindDomain.HeightOneSpectrum.adicCompletion.coe_valueGroupOrderIso_coe
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDedekindDomain R] (K : Type u_2) [inst_2 : Field K]
[inst_3 : Algebra R K] [inst_4 : IsFractionRing R K] (v : IsDedekindDomain.HeightOneSpectrum R)
(a : ↥(MonoidWithZeroHom.ofClass (IsDedekindDomain.HeightOneSpectrum.adicCompletion.valuation K v)).valueGroup),
(IsDedekindDomain.HeightOneSpectrum.adicCompletion.valueGroupOrderIso K v) ↑a =
↑((IsDedekindDomain.HeightOneSpectrum.adicCompletion.valueGroupEquiv K v) a)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites26
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
- Fieldstatement and proof · cited by 7,404
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- MulEquivstatement · cited by 1,142
- Multiplicativestatement and proof · cited by 875
- Valuationstatement · cited by 823
- IsFractionRingstatement and proof · cited by 738
- IsDedekindDomainstatement and proof · cited by 668
- WithZerostatement and proof · cited by 586
Cited by1
Results whose statement or proof uses this declaration.