Theorems · Theorem · commutative algebra

AdjoinRoot.quotEquivQuotMap_apply_mk

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

Defined in

Mathlib.RingTheory.AdjoinRoot

Cited by

1 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRing