Theorems · Definition · nonassociative algebras

LieSubmodule.gi

(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] → GaloisInsertion (LieSubmodule.lieSpan R L) SetLike.coe

lieSpan forms a Galois insertion with the coercion from LieSubmodule to Set.

Defined in

Mathlib.Algebra.Lie.Submodule

Cited by

3 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingAddCommGroupModuleLieRingModule