Theorems · Theorem · nonassociative algebras
LieEquiv.ofBijective_toFun
∀ {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 : L₁),
(LieEquiv.ofBijective f h) a = f 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
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Cites8
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
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- Function.Bijectivestatement and proof · cited by 863
- LieHomstatement and proof · cited by 382
- LieEquivstatement · cited by 86
- LieEquiv.ofBijectivestatement and proof · cited by 2
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