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Theorems · Theorem · commutative algebra

Ideal.span_singleton_absNorm_le

∀ {S : Type u_1} [inst : CommRing S] [inst_1 : IsDedekindDomain S] [inst_2 : Module.Free ℤ S] (I : Ideal S),
  Ideal.span {↑(Ideal.absNorm I)} ≤ I
Defined in
Mathlib.RingTheory.Ideal.Norm.AbsNorm
Cited by
1 results in Mathlib
Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsDedekindDomainModule.Free
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Ideal.finite_setOfPred_absNorm_eq · cited by 3Ideal.finite_setOfPred_ab…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetCommRing · cited by 17173CommRingIdeal · cited by 4748IdealIdeal.span · cited by 948Ideal.spanMonoidWithZeroHom · cited by 704MonoidWithZeroHomIsDedekindDomain · cited by 668IsDedekindDomainModule.Free · cited by 597Module.FreeIdeal.absNorm · cited by 123Ideal.absNormIdeal.absNorm_mem · cited by 5Ideal.absNorm_memIdeal.span_singleton_absNorm_…CITED BYCITES

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Cited by1

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