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Theorems · Theorem · commutative algebra

idealFactorsFunOfQuotHom_id

Deprecated since 2026-04-16Use IsDedekindDomain.idealFactorsFunOfQuotHom_id instead.

∀ {A : Type u_2} [inst : CommRing A] [inst_1 : IsDedekindDomain A] {J : Ideal A},
  IsDedekindDomain.idealFactorsFunOfQuotHom ⋯ = OrderHom.id

Alias of IsDedekindDomain.idealFactorsFunOfQuotHom_id.

Defined in
Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas
Cited by
0 results in Mathlib
Foundations
Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsDedekindDomain
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Around this declaration

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

RingHom.id · cited by 18349RingHom.idCommRing · cited by 17173CommRingIdeal · cited by 4748IdealHasQuotient.Quotient · cited by 2301HasQuotient.QuotientOrderHom · cited by 934OrderHomIsDedekindDomain · cited by 668IsDedekindDomainOrderHom.id · cited by 37OrderHom.idRingHom.surjective · cited by 9RingHom.surjectiveIsDedekindDomain.idealFactorsFunOfQuotHom · cited by 7IsDedekindDomain.idealFac…IsDedekindDomain.idealFactorsFunOfQuotHom_id · cited by 1IsDedekindDomain.idealFac…idealFactorsFunOfQuotHom_idCITED BYCITES

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