Theorems · Theorem · nonassociative algebras
LieAlgebra.isEngelian_of_subsingleton
∀ {R : Type u₁} {L : Type u₂} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] [Subsingleton L],
LieAlgebra.IsEngelian R L- Defined in
- Mathlib.Algebra.Lie.Engel
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Moduleproof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupproof · cited by 12,871
- Top.topproof · cited by 9,680
- Bot.botproof · cited by 4,720
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieRingModuleproof · cited by 727
- LieModuleproof · cited by 424
- IsNilpotentproof · cited by 248
- LieModule.toEndproof · cited by 144
Cited by1
Results whose statement or proof uses this declaration.
- LieAlgebra.isEngelian_of_isNoetherianproof · cited by 1