Theorems · Definition · commutative algebra

IsDedekindRing.casesOn

{A : Type u_2} →
  [inst : CommRing A] →
    {motive : IsDedekindRing A → Sort u} →
      (t : IsDedekindRing A) →
        ([toIsNoetherian : IsNoetherian A A] →
            [toDimensionLEOne : Ring.DimensionLEOne A] →
              [toIsIntegralClosure : IsIntegralClosure A A (FractionRing A)] → motive ⋯) →
          motive t

Defined in: Mathlib.RingTheory.DedekindDomain.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 47 from the axioms · uses propext, Quot.sound
Assumes: CommRing

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CommRingstatement and proof · cited by 17,173
nonZeroDivisorsstatement · cited by 895
IsNoetherianstatement and proof · cited by 208
FractionRingstatement and proof · cited by 200
IsIntegralClosurestatement and proof · cited by 146
Ring.DimensionLEOnestatement and proof · cited by 12
IsDedekindRingstatement and proof · cited by 1

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