Theorems · Theorem · nonassociative algebras
LieAlgebra.nilpotent_ad_of_nilpotent_algebra
∀ (R : Type u) (L : Type v) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] [LieRing.IsNilpotent L], ∃ k, ∀ (x : L), (LieAlgebra.ad R L) x ^ k = 0
- Defined in
- Mathlib.Algebra.Lie.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- Module.Endstatement · cited by 774
- LieHomstatement · cited by 382
- LieRing.ofAssociativeRingstatement · cited by 227
- LieRing.IsNilpotentstatement and proof · cited by 176
- LieAlgebra.adstatement · cited by 49
- LieModule.exists_forall_pow_toEnd_eq_zeroproof · cited by 3
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