Theorems · Theorem · nonassociative algebras

LieIdeal.derivedSeries_add_eq_bot

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

Defined in

Mathlib.Algebra.Lie.Solvable

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebra