Theorems · Theorem · nonassociative algebras
LieAlgebra.abelian_radical_of_hasTrivialRadical
∀ (R : Type u_1) (L : Type u_2) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] [LieAlgebra.HasTrivialRadical R L], IsLieAbelian ↥(LieAlgebra.radical R L)
- Defined in
- Mathlib.Algebra.Lie.Semisimple.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 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
- Bot.botproof · cited by 4,720
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieIdealstatement and proof · cited by 282
- IsLieAbelianstatement and proof · cited by 55
- LieAlgebra.radicalstatement · cited by 13
- LieAlgebra.HasTrivialRadicalstatement and proof · cited by 11
- LieAlgebra.HasTrivialRadical.radical_eq_botproof · cited by 2
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