Theorems · Theorem · nonassociative algebras
LieAlgebra.lieCharacterEquivLinearDual_symm_apply
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] [inst_3 : IsLieAbelian L]
(ψ : Module.Dual R L), LieAlgebra.lieCharacterEquivLinearDual.symm ψ = { toLinearMap := ψ, map_lie' := ⋯ }- Defined in
- Mathlib.Algebra.Lie.Character
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
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.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Equivstatement · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- Module.Dualstatement and proof · cited by 583
- LieHomstatement · cited by 382
- LieRing.ofAssociativeRingstatement · cited by 227
- IsLieAbelianstatement and proof · cited by 55
- LieAlgebra.LieCharacterstatement · cited by 5
- LieAlgebra.lieCharacterEquivLinearDualstatement and proof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.