Theorems · Theorem · nonassociative algebras

LieAlgebra.derivedSeriesOfIdeal_add_le_add

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I J : LieIdeal R L)
  (k l : ℕ),
  LieAlgebra.derivedSeriesOfIdeal R L (k + l) (I + J) ≤
    LieAlgebra.derivedSeriesOfIdeal R L k I + LieAlgebra.derivedSeriesOfIdeal R L l J

Defined in

Mathlib.Algebra.Lie.Solvable

Cited by

1 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebra