Theorems · Theorem · nonassociative algebras
LieAlgebra.derivedSeries_of_bot_eq_bot
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (k : ℕ),
LieAlgebra.derivedSeriesOfIdeal R L k ⊥ = ⊥- Defined in
- Mathlib.Algebra.Lie.Solvable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 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.
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
- Bot.botstatement and proof · cited by 4,720
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieIdealstatement · cited by 282
- eq_bot_iffproof · cited by 159
- LieAlgebra.derivedSeriesOfIdealstatement · cited by 28
- LieAlgebra.derivedSeriesOfIdeal_le_selfproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- LieAlgebra.abelian_of_solvable_ideal_eq_bot_iffproof · cited by 1