Theorems · Theorem · commutative algebra

Ideal.relNorm_int

∀ (S : Type u_3) [inst : CommRing S] [inst_1 : IsDomain S] [inst_2 : IsIntegrallyClosed S] [inst_3 : IsDedekindDomain S]
  [inst_4 : Module.Free ℤ S] [inst_5 : Module.Finite ℤ S] (I : Ideal S),
  (Ideal.relNorm ℤ) I = Ideal.span {↑(Ideal.absNorm I)}

Defined in: Mathlib.RingTheory.Ideal.Norm.RelNorm
Cited by: 0 results in Mathlib
Foundations: Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing IsDomain IsIntegrallyClosed IsDedekindDomain Module.Free Module.Finite

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DFunLike.coestatement and proof · cited by 62,936
Setstatement · cited by 53,352
CommRingstatement and proof · cited by 17,173
Idealstatement and proof · cited by 4,748
IsDomainstatement and proof · cited by 2,196
Module.Finitestatement and proof · cited by 1,032
Ideal.spanstatement and proof · cited by 948
MonoidWithZeroHomstatement · cited by 704
IsDedekindDomainstatement and proof · cited by 668
Module.Freestatement and proof · cited by 597
IsIntegrallyClosedstatement and proof · cited by 203
Ideal.absNormstatement and proof · cited by 123

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