Theorems · Theorem · commutative algebra

Derivation.liftKaehlerDifferential_unique_iff

∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {M : Type u_1}
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : Module S M] [inst_6 : IsScalarTower R S M]
  {f f' : Ω[S⁄R] →ₗ[S] M}, f = f' ↔ f.compDer (KaehlerDifferential.D R S) = f'.compDer (KaehlerDifferential.D R S)

Defined in

Mathlib.RingTheory.Kaehler.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommRingCommRingAlgebraAddCommGroupModuleModuleIsScalarTower