Theorems · Theorem · commutative algebra

KaehlerDifferential.mapBaseChange_tmul

∀ (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] [inst_5 : Algebra R B] [inst_6 : IsScalarTower R A B] (x : B)
  (y : Ω[A⁄R]), (KaehlerDifferential.mapBaseChange R A B) (x ⊗ₜ[A] y) = x • (KaehlerDifferential.map R R A B) y

Defined in

Mathlib.RingTheory.Kaehler.Basic

Cited by

6 results in Mathlib

Foundations

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

Assumes

CommRingCommRingCommRingAlgebraAlgebraAlgebraIsScalarTower