Theorems · Theorem · commutative algebra

KaehlerDifferential.tensorKaehlerEquivOfFormallyEtale_symm_D_algebraMap

∀ (R : Type u_1) (S : Type u_2) (T : Type u_3) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T]
  [inst_3 : Algebra R S] [inst_4 : Algebra R T] [inst_5 : Algebra S T] [inst_6 : IsScalarTower R S T]
  [inst_7 : Algebra.FormallyEtale S T] (s : S),
  (KaehlerDifferential.tensorKaehlerEquivOfFormallyEtale R S T).symm
      ((KaehlerDifferential.D R T) ((algebraMap S T) s)) =
    1 ⊗ₜ[S] (KaehlerDifferential.D R S) s

Defined in

Mathlib.RingTheory.Etale.Kaehler

Cited by

0 results in Mathlib

Foundations

Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingCommRingAlgebraAlgebraAlgebraIsScalarTowerAlgebra.FormallyEtale