Theorems · Theorem · commutative algebra

AlgHom.kerSquareLift_mk

∀ {R : Type u} [inst : CommRing R] {A : Type u_1} {B : Type u_2} [inst_1 : CommRing A] [inst_2 : CommRing B]
  [inst_3 : Algebra R A] [inst_4 : Algebra R B] (f : A →ₐ[R] B) (x : A),
  f.kerSquareLift ((Ideal.Quotient.mk (RingHom.ker f.toRingHom ^ 2)) x) = f x

Defined in

Mathlib.RingTheory.Ideal.Cotangent

Cited by

1 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingCommRingAlgebraAlgebra