Theorems · Theorem · nonassociative algebras
LieEquiv.ofBijective_invFun
∀ {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] (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Bijective ⇑f) (a : L₂),
(LieEquiv.ofBijective f h).invFun a = (LinearEquiv.ofBijective (↑f) h).symm a- Defined in
- Mathlib.Algebra.Lie.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- 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
- Function.Bijectivestatement and proof · cited by 863
- LieHomstatement and proof · cited by 382
- LieHom.toLinearMapstatement · cited by 74
- LinearEquiv.ofBijectivestatement · cited by 60
- LieEquiv.invFunstatement and proof · cited by 10
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.