Theorems · Definition · nonassociative algebras
LieModuleHom.toLinearMap
{R : Type u} →
{L : Type v} →
{M : Type w} →
{N : Type w₁} →
[inst : CommRing R] →
[inst_1 : LieRing L] →
[inst_2 : AddCommGroup M] →
[inst_3 : AddCommGroup N] →
[inst_4 : Module R M] →
[inst_5 : Module R N] →
[inst_6 : LieRingModule L M] → [inst_7 : LieRingModule L N] → (M →ₗ⁅R,L⁆ N) → M →ₗ[R] N- Defined in
- Mathlib.Algebra.Lie.Basic
- Cited by
- 36 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- LieRingstatement and proof · cited by 1,548
- LieRingModulestatement and proof · cited by 727
- LieModuleHomstatement and proof · cited by 123
Cited by52
Results whose statement or proof uses this declaration.
- LieSubmodule.mapproof · cited by 49
- LieSubmodule.comapproof · cited by 21
- LieModuleHom.compproof · cited by 10
- LieModuleEquiv.toEquivproof · cited by 6
- LieModule.maxTrivLinearMapEquivLieModuleHomproof · cited by 4
- LieAlgebra.mem_corootSpaceproof · cited by 4
- LieModuleHom.codRestrictproof · cited by 3
- LieAlgebra.IsKilling.sl2SubmoduleOfRoot_eq_supproof · cited by 3
- LieModule.map_genWeightSpace_leproof · cited by 3
- TensorProduct.LieModule.mapproof · cited by 3
- LieSubmodule.map_bracket_eqproof · cited by 3
- LieModuleEquiv.toLinearEquivproof · cited by 3