Theorems · Theorem · nonassociative algebras
LieEquiv.toLinearEquiv_injective
∀ {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], Function.Injective LieEquiv.toLinearEquiv- Defined in
- Mathlib.Algebra.Lie.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapproof · cited by 10,215
- LinearEquivstatement · cited by 3,317
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- Bracket.bracketproof · cited by 642
- LieHomproof · cited by 382
- AddHomproof · cited by 294
- AddHom.toFunproof · cited by 168
- LinearMap.toAddHomproof · cited by 165
Cited by1
Results whose statement or proof uses this declaration.
- LieEquiv.coe_injectiveproof · cited by 1