Theorems · Theorem · nonassociative algebras

LieAlgebra.derivedSeries_baseChange

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {A : Type u_1}
  [inst_3 : CommRing A] [inst_4 : Algebra R A] (k : ℕ),
  LieAlgebra.derivedSeries A (TensorProduct R A L) k = LieSubmodule.baseChange A (LieAlgebra.derivedSeries R L k)

Defined in

Mathlib.Algebra.Lie.Solvable

Cited by

2 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraCommRingAlgebra