Theorems · Theorem · nonassociative algebras
LieModule.toEnd_module_end
∀ (R : Type u) (M : Type w) [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M], LieModule.toEnd R (Module.End R M) M = LieHom.id
- Defined in
- Mathlib.Algebra.Lie.OfAssociative
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Quot.sound
- Assumes
- CommRingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMap.extproof · cited by 844
- Module.Endstatement and proof · cited by 774
- LieHomstatement · cited by 382
- LieRing.ofAssociativeRingstatement · cited by 227
- LieModule.toEndstatement · cited by 144
- LieModule.toEnd_apply_applyproof · cited by 39
- LieHom.idstatement · cited by 13
- LieHom.extproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- LieModule.isNilpotent_iff_forall'proof · cited by 3
- LieAlgebra.isEngelian_of_isNoetherianproof · cited by 1