Theorems · Definition · nonassociative algebras

LieRinehartSubalgebra.incl

{A : Type u_1} →
  {L : Type u_2} →
    [inst : CommRing A] →
      [inst_1 : LieRing L] →
        [inst_2 : Module A L] →
          (L' : LieRinehartSubalgebra A L) →
            [inst_3 : LieRingModule L A] →
              [inst_4 : LieRinehartRing A L] →
                (R : Type u_3) →
                  [inst_5 : CommRing R] →
                    [inst_6 : Algebra R A] →
                      [inst_7 : LieAlgebra R L] →
                        [inst_8 : LieRinehartAlgebra R A L] → LieRinehartAlgebra.Hom (AlgHom.id R A) (↥L') L

The embedding of a Lie-Rinehart subalgebra into the ambient space as a morphism of Lie-Rinehart algebras.

Defined in

Mathlib.Algebra.LieRinehartAlgebra.Subalgebra

Cited by

1 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingModuleLieRingModuleLieRinehartRingCommRingAlgebraLieAlgebraLieRinehartAlgebra