Theorems · Definition · nonassociative algebras

LieSubmodule.lieSpan

(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] → Set M → LieSubmodule R L M

The lieSpan of a set s ⊆ M is the smallest Lie submodule of M that contains s.

Defined in

Mathlib.Algebra.Lie.Submodule

Cited by

22 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingAddCommGroupModuleLieRingModule