Theorems · Theorem · nonassociative algebras
FreeLieAlgebra.universalEnvelopingEquivFreeAlgebra_symm_apply
∀ (R : Type u) (X : Type v) [inst : CommRing R] (a : FreeAlgebra R X),
(FreeLieAlgebra.universalEnvelopingEquivFreeAlgebra R X).symm a =
((FreeAlgebra.lift R) (⇑(UniversalEnvelopingAlgebra.ι R) ∘ FreeLieAlgebra.of R)) a- Defined in
- Mathlib.Algebra.Lie.Free
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Equivstatement · cited by 8,337
- AlgHomstatement · cited by 3,236
- AlgEquivstatement · cited by 1,681
- AlgEquiv.symmstatement and proof · cited by 615
- LieHomstatement · cited by 382
- LieRing.ofAssociativeRingstatement · cited by 227
- FreeAlgebrastatement and proof · cited by 48
- FreeAlgebra.liftstatement · cited by 21
- UniversalEnvelopingAlgebrastatement · cited by 10
- FreeLieAlgebrastatement · cited by 9
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