Theorems · Definition · nonassociative algebras
LieEquiv.invFun
{R : Type u} →
{L : Type v} →
{L' : Type w} →
[inst : CommRing R] →
[inst_1 : LieRing L] →
[inst_2 : LieAlgebra R L] → [inst_3 : LieRing L'] → [inst_4 : LieAlgebra R L'] → (L ≃ₗ⁅R⁆ L') → L' → LThe inverse function of an equivalence of Lie algebras
- Defined in
- Mathlib.Algebra.Lie.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieEquivstatement and proof · cited by 86
Cited by12
Results whose statement or proof uses this declaration.
- LieEquiv.symmproof · cited by 34
- LieEquiv.toLinearEquivproof · cited by 16
- LieAlgebra.SemiDirectSum.prod_iso_invFun_leftstatement and proof · cited by 0
- LieEquiv.prodComm_invFunstatement and proof · cited by 0
- LieAlgebra.SemiDirectSum.prod_iso_invFun_rightstatement and proof · cited by 0
- LieHom.quotKerEquivRange_invFunstatement and proof · cited by 0
- LieEquiv.right_invstatement · cited by 0
- RootPairing.GeckConstruction.ωConj_invFunstatement and proof · cited by 0
- LieSubalgebra.equivMapOfInjective_invFun_coestatement · cited by 0
- LieEquiv.left_invstatement · cited by 0
- LieEquiv.ofBijective_invFunstatement and proof · cited by 0
- LieAlgebra.LieEquiv.ofCoboundary_invFunstatement and proof · cited by 0