Theorems · Theorem · nonassociative algebras
LieAlgebra.zero_rootSpace_eq_top_of_nilpotent
∀ {R : Type u_1} {L : Type u_2} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
[inst_3 : LieRing.IsNilpotent L], LieAlgebra.rootSpace ⊤ 0 = ⊤- Defined in
- Mathlib.Algebra.Lie.Weights.Cartan
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- LieSubalgebrastatement · cited by 418
- LieRing.IsNilpotentstatement and proof · cited by 176
- LieAlgebra.rootSpacestatement · cited by 74
- LieModule.zero_genWeightSpace_eq_top_of_nilpotentproof · cited by 1
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