Theorems · Theorem · nonassociative algebras

LieAlgebra.derivedSeriesOfIdeal_add

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

Defined in: Mathlib.Algebra.Lie.Solvable
Cited by: 2 results in Mathlib
Foundations: Depth 23 from the axioms · uses propext, Quot.sound
Assumes: CommRing LieRing LieAlgebra

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Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CommRingstatement and proof · cited by 17,173
LieRingstatement and proof · cited by 1,548
LieAlgebrastatement and proof · cited by 1,246
Bracket.bracketproof · cited by 642
LieIdealstatement and proof · cited by 282
LieAlgebra.derivedSeriesOfIdealstatement and proof · cited by 28
LieAlgebra.derivedSeriesOfIdeal_succproof · cited by 14
LieAlgebra.derivedSeriesOfIdeal_zeroproof · cited by 6

Cited by2

Results whose statement or proof uses this declaration.

LieIdeal.isSolvable_of_killingForm_apply_lie_eq_zeroproof · cited by 2
LieAlgebra.abelian_iff_derived_succ_eq_botproof · cited by 1