Theorems · Theorem · nonassociative algebras
LieAlgebra.radical_eq_top_of_isSolvable
∀ (R : Type u) (L : Type v) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] [LieAlgebra.IsSolvable L], LieAlgebra.radical R L = ⊤
- Defined in
- Mathlib.Algebra.Lie.Solvable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 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 and proof · cited by 9,680
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieIdealstatement · cited by 282
- eq_top_iffproof · cited by 236
- le_sSupproof · cited by 79
- LieAlgebra.IsSolvablestatement and proof · cited by 24
- LieAlgebra.radicalstatement · cited by 13
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