Theorems · Theorem · nonassociative algebras

LieIdeal.lowerCentralSeries_map_eq

∀ {R : Type u} {L : Type v} {L' : Type w} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  [inst_3 : LieRing L'] [inst_4 : LieAlgebra R L'] (k : ℕ) {f : L →ₗ⁅R⁆ L'},
  Function.Surjective ⇑f →
    LieIdeal.map f (LieModule.lowerCentralSeries R L L k) = LieModule.lowerCentralSeries R L' L' k

Defined in

Mathlib.Algebra.Lie.Nilpotent

Cited by

1 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebra