Theorems · Theorem · nonassociative algebras
LieAlgebra.center_le_maxNilpotentIdeal
∀ (R : Type u) (L : Type v) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L], LieAlgebra.center R L ≤ LieAlgebra.maxNilpotentIdeal R L
- Defined in
- Mathlib.Algebra.Lie.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
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Cites7
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 · cited by 282
- le_sSupproof · cited by 79
- LieAlgebra.centerstatement and proof · cited by 23
- LieAlgebra.maxNilpotentIdealstatement · cited by 4
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