Theorems · Theorem · commutative algebra

IsDedekindDomain.idealFactorsFunOfQuotHom.congr_simp

∀ {R : Type u_1} {A : Type u_2} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : IsDedekindDomain A] {I : Ideal R}
  {J : Ideal A} {f f_1 : R ⧸ I →+* A ⧸ J} (e_f : f = f_1) (hf : Function.Surjective ⇑f),
  IsDedekindDomain.idealFactorsFunOfQuotHom hf = IsDedekindDomain.idealFactorsFunOfQuotHom ⋯

Defined in

Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas

Cited by

0 results in Mathlib

Foundations

Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingIsDedekindDomain