Theorems · Definition · commutative algebra

IsDedekindDomain.HeightOneSpectrum.adicCompletion.noConfusionType

Sort u →
  {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} →
                  IsDedekindDomain.HeightOneSpectrum.adicCompletion K v →
                    {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'} →
                                    IsDedekindDomain.HeightOneSpectrum.adicCompletion K' v' → Sort u

Defined in

Mathlib.RingTheory.DedekindDomain.AdicValuation

Cited by

0 results in Mathlib

Foundations

Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingIsDedekindDomainFieldAlgebraIsFractionRingCommRingIsDedekindDomainFieldAlgebraIsFractionRing