Theorems · Theorem · commutative algebra

KaehlerDifferential.kerToTensor_apply

∀ (R : Type u) [inst : CommRing R] (A : Type u_2) (B : Type u_3) [inst_1 : CommRing A] [inst_2 : CommRing B]
  [inst_3 : Algebra R A] [inst_4 : Algebra A B] (x : ↥(RingHom.ker (algebraMap A B))),
  (KaehlerDifferential.kerToTensor R A B) x = 1 ⊗ₜ[A] (KaehlerDifferential.D R A) ↑x

Defined in

Mathlib.RingTheory.Kaehler.Basic

Cited by

4 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingCommRingAlgebraAlgebra