Theorems · Definition · nonassociative algebras

LieSubmodule.incl

{R : Type u} →
  {L : Type v} →
    {M : Type w} →
      [inst : CommRing R] →
        [inst_1 : LieRing L] →
          [inst_2 : AddCommGroup M] →
            [inst_3 : Module R M] → [inst_4 : LieRingModule L M] → (N : LieSubmodule R L M) → ↥N →ₗ⁅R,L⁆ M

The inclusion of a Lie submodule into its ambient space is a morphism of Lie modules.

Defined in

Mathlib.Algebra.Lie.Submodule

Cited by

29 results in Mathlib

Foundations

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

Assumes

CommRingLieRingAddCommGroupModuleLieRingModule