Theorems · Definition · nonassociative algebras

LieRinehartSubalgebra.toLieSubalgebra

{A : Type u_1} →
  {L : Type u_2} →
    [inst : CommRing A] →
      [inst_1 : LieRing L] →
        [inst_2 : Module A 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] → [LieRinehartAlgebra R A L] → LieSubalgebra R L

Converts a Lie-Rinehart subalgebra to the corresponding Lie subalgebra.

Defined in

Mathlib.Algebra.LieRinehartAlgebra.Subalgebra

Cited by

3 results in Mathlib

Foundations

Depth 16 from the axioms · uses no axioms

Assumes

CommRingLieRingModuleLieRingModuleLieRinehartRingCommRingAlgebraLieAlgebraLieRinehartAlgebra