Theorems · Theorem · commutative algebra
IsDedekindDomain.idealFactorsFunOfQuotHom_id
∀ {A : Type u_2} [inst : CommRing A] [inst_1 : IsDedekindDomain A] {J : Ideal A},
IsDedekindDomain.idealFactorsFunOfQuotHom ⋯ = OrderHom.id- Cited by
- 1 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingIsDedekindDomain
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientstatement and proof · cited by 2,301
- OrderHomstatement · cited by 934
- Ideal.mapproof · cited by 692
- IsDedekindDomainstatement and proof · cited by 668
- Ideal.Quotient.mkproof · cited by 610
- Subtype.propproof · cited by 505
- Ideal.comapproof · cited by 443
- Ideal.Quotient.mk_surjectiveproof · cited by 134
Cited by1
Results whose statement or proof uses this declaration.
- idealFactorsFunOfQuotHom_idproof · cited by 0