Theorems · Theorem · nonassociative algebras
LieIdeal.derivedSeries_eq_derivedSeriesOfIdeal_comap
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L)
(k : ℕ), LieAlgebra.derivedSeries R (↥I) k = LieIdeal.comap I.incl (LieAlgebra.derivedSeriesOfIdeal R L k I)- Defined in
- Mathlib.Algebra.Lie.Solvable
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Top.topproof · cited by 9,680
- 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.derivedSeriesstatement and proof · cited by 29
- LieAlgebra.derivedSeriesOfIdealstatement and proof · cited by 28
- LieIdeal.comapstatement and proof · cited by 21
- LieIdeal.inclstatement and proof · cited by 17
- LieAlgebra.derivedSeriesOfIdeal_succproof · cited by 14
- LieAlgebra.derivedSeriesOfIdeal_le_selfproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- LieIdeal.isSolvable_of_killingForm_apply_lie_eq_zeroproof · cited by 2
- LieIdeal.derivedSeries_eq_derivedSeriesOfIdeal_mapproof · cited by 1