Theorems · Theorem · nonassociative algebras
LieAlgebra.LoopAlgebra.toFinsupp_symm_single
∀ (R : Type u_1) (A : Type u_2) (L : Type u_3) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (c : A) (z : L), ((LieAlgebra.LoopAlgebra.toFinsupp R A L).symm fun₀ | c => z) = AddMonoidAlgebra.single c 1 ⊗ₜ[R] z
- Defined in
- Mathlib.Algebra.Lie.Loop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Finsuppstatement · cited by 5,255
- LinearEquivstatement · cited by 3,317
- LieRingstatement and proof · cited by 1,548
- LinearEquiv.symmstatement · cited by 1,461
- LieAlgebrastatement and proof · cited by 1,246
- TensorProduct.tmulstatement and proof · cited by 1,182
- Finsupp.singlestatement and proof · cited by 943
- AddMonoidAlgebrastatement · cited by 649
- AddMonoidAlgebra.singlestatement and proof · cited by 250
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