Theorems · Theorem · commutative algebra

AdjoinRoot.quotMapOfEquivQuotMapCMapMk_symm_mk

∀ {R : Type u_1} [inst : CommRing R] (I : Ideal R) (f : Polynomial R) (x : AdjoinRoot f),
  (AdjoinRoot.quotMapOfEquivQuotMapCMapMk I f).symm
      ((Ideal.Quotient.mk (Ideal.map (Ideal.Quotient.mk (Ideal.span {f})) (Ideal.map Polynomial.C I))) x) =
    (Ideal.Quotient.mk (Ideal.map (AdjoinRoot.of f) I)) x

Defined in

Mathlib.RingTheory.AdjoinRoot

Cited by

2 results in Mathlib

Foundations

Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRing