Theorems · Definition · nonassociative algebras
LieHom.toLinearMap
{R : Type u_1} →
{L : Type u_2} →
{L' : Type u_3} →
[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 →ₗ[R] L'- Defined in
- Mathlib.Algebra.Lie.Basic
- Cited by
- 74 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieHomstatement and proof · cited by 382
Cited by103
Results whose statement or proof uses this declaration.
- LieHom.rangeproof · cited by 44
- LieModule.traceFormproof · cited by 41
- LieIdeal.mapproof · cited by 33
- LieIdeal.comapproof · cited by 21
- LieHom.compproof · cited by 19
- LieEquiv.toLinearEquivproof · cited by 16
- LieSubalgebra.mapproof · cited by 14
- LieHom.prodproof · cited by 8
- LieModule.rankproof · cited by 8
- UniversalEnvelopingAlgebra.liftproof · cited by 7
- LieHom.ker_toSubmodulestatement · cited by 5
- LieHom.mem_range_selfproof · cited by 5