Theorems · Definition · nonassociative algebras

LieRinehartAlgebra.Hom.toLieHom

{R : Type u_1} →
  {A₁ : Type u_2} →
    {A₂ : Type u_4} →
      [inst : CommRing R] →
        [inst_1 : CommRing A₁] →
          [inst_2 : CommRing A₂] →
            [inst_3 : Algebra R A₁] →
              [inst_4 : Algebra R A₂] →
                {σ : A₁ →ₐ[R] A₂} →
                  {L₁ : Type u_8} →
                    {L₂ : Type u_9} →
                      [inst_5 : LieRing L₁] →
                        [inst_6 : Module A₁ L₁] →
                          [inst_7 : LieRingModule L₁ A₁] →
                            [inst_8 : LieAlgebra R L₁] →
                              [inst_9 : LieRing L₂] →
                                [inst_10 : Module A₂ L₂] →
                                  [inst_11 : LieRingModule L₂ A₂] →
                                    [inst_12 : LieAlgebra R L₂] → LieRinehartAlgebra.Hom σ L₁ L₂ → L₁ →ₗ⁅R⁆ L₂

Defined in

Mathlib.Algebra.LieRinehartAlgebra.Defs

Cited by

7 results in Mathlib

Foundations

Depth 12 from the axioms · uses no axioms

Assumes

CommRingCommRingCommRingAlgebraAlgebraLieRingModuleLieRingModuleLieAlgebraLieRingModuleLieRingModuleLieAlgebra