Theorems · Theorem · commutative algebra
IsDedekindDomain.HeightOneSpectrum.adicCompletion.coe_one
∀ {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),
{ toCompletion := ↑((WithVal.equiv (IsDedekindDomain.HeightOneSpectrum.valuation K v)).symm 1) } = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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
- RingEquivstatement · cited by 1,147
- Multiplicativestatement · cited by 875
- IsFractionRingstatement and proof · cited by 738
- IsDedekindDomainstatement and proof · cited by 668
- WithZerostatement · cited by 586
- RingEquiv.symmstatement · cited by 567
- IsDedekindDomain.HeightOneSpectrumstatement and proof · cited by 338
- WithValstatement and proof · cited by 151
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