Theorems · Theorem · number theory

IsDedekindDomain.FiniteAdeleRing.algebraMap_apply

∀ (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] (k : K) (v : IsDedekindDomain.HeightOneSpectrum R),
  ((algebraMap K (IsDedekindDomain.FiniteAdeleRing R K)) k) v =
    { toCompletion := ↑((WithVal.equiv (IsDedekindDomain.HeightOneSpectrum.valuation K v)).symm k) }

Defined in

Mathlib.RingTheory.DedekindDomain.FiniteAdeleRing

Cited by

0 results in Mathlib

Foundations

Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingIsDedekindDomainFieldAlgebraIsFractionRing