Theorems · Theorem · nonassociative algebras
LieEquiv.map_lie
∀ {R : Type u} {L₁ : Type v} {L₂ : Type w} [inst : CommRing R] [inst_1 : LieRing L₁] [inst_2 : LieRing L₂]
[inst_3 : LieAlgebra R L₁] [inst_4 : LieAlgebra R L₂] (e : L₁ ≃ₗ⁅R⁆ L₂) (x y : L₁), e ⁅x, y⁆ = ⁅e x, e y⁆- Defined in
- Mathlib.Algebra.Lie.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- Bracket.bracketstatement · cited by 642
- LieEquivstatement and proof · cited by 86
- LieHom.map_lieproof · cited by 18
- LieEquiv.toLieHomproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- LieAlgebra.conj_ad_applyproof · cited by 0
- RootPairing.GeckConstruction.ωConj_mem_of_memproof · cited by 0