Theorems · Theorem · nonassociative algebras
LieAlgebra.maxNilpotentIdeal_eq_top_of_isNilpotent
∀ (R : Type u) (L : Type v) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] [LieRing.IsNilpotent L], LieAlgebra.maxNilpotentIdeal R L = ⊤
- Defined in
- Mathlib.Algebra.Lie.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 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
- Top.topstatement · cited by 9,680
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubmodulestatement · cited by 489
- LieRing.IsNilpotentstatement and proof · cited by 176
- LieAlgebra.maxNilpotentIdealstatement · cited by 4
- LieModule.maxNilpotentSubmodule_eq_top_of_isNilpotentproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.