Theorems · Definition · nonassociative algebras

LieSubmodule.Quotient.mk

{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} → M → M ⧸ N

Map sending an element of M to the corresponding element of M ⧸ N, when N is a Lie submodule of the Lie module M.

Defined in

Mathlib.Algebra.Lie.Quotient

Cited by

6 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingAddCommGroupModuleLieRingModule