Theorems · Theorem · nonassociative algebras
LieAlgebra.IsSolvable.solvable
∀ (R : Type u) (L : Type v) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] [LieAlgebra.IsSolvable L], ∃ k, LieAlgebra.derivedSeries R L k = ⊥
- Defined in
- Mathlib.Algebra.Lie.Solvable
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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 · cited by 4,720
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieIdealstatement · cited by 282
- LieAlgebra.derivedSeriesstatement · cited by 29
- LieAlgebra.IsSolvablestatement and proof · cited by 24
- LieAlgebra.isSolvable_iffproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- LieIdeal.isSolvable_of_killingForm_apply_lie_eq_zeroproof · cited by 2
- LieAlgebra.derivedSeries_lt_top_of_solvableproof · cited by 0
- LieAlgebra.derivedLength_zeroproof · cited by 0