Theorems · Theorem · nonassociative algebras

LieAlgebra.coe_derivedSeries_one_eq

∀ (R : Type u) (L : Type v) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L],
  (LieIdeal.toLieSubalgebra R L (LieAlgebra.derivedSeries R L 1)).toSubmodule =
    Submodule.span R {x | ∃ x_1 y, ⁅x_1, y⁆ = x}

Defined in

Mathlib.Algebra.Lie.Solvable

Cited by

1 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebra