Theorems · Theorem · nonassociative algebras
LieIdeal.derivedSeries_eq_derivedSeriesOfIdeal_map
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L)
(k : ℕ), LieIdeal.map I.incl (LieAlgebra.derivedSeries R (↥I) k) = LieAlgebra.derivedSeriesOfIdeal R L k I- Defined in
- Mathlib.Algebra.Lie.Solvable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 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.
Cites12
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
- LieIdealstatement and proof · cited by 282
- inf_eq_rightproof · cited by 64
- LieIdeal.mapstatement and proof · cited by 33
- LieAlgebra.derivedSeriesstatement · cited by 29
- LieAlgebra.derivedSeriesOfIdealstatement and proof · cited by 28
- LieIdeal.inclstatement and proof · cited by 17
- LieAlgebra.derivedSeriesOfIdeal_le_selfproof · cited by 3
- LieIdeal.derivedSeries_eq_derivedSeriesOfIdeal_comapproof · cited by 2
- LieIdeal.map_comap_inclproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- LieIdeal.derivedSeries_eq_bot_iffproof · cited by 4