Theorems · Theorem · nonassociative algebras

LieSubmodule.gc_lcs_ucs

∀ {R : Type u} {L : Type v} {M : Type w} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : LieRingModule L M] [inst_6 : LieModule R L M] (k : ℕ),
  GaloisConnection (fun N => LieSubmodule.lcs k N) fun N => LieSubmodule.ucs k N

Defined in

Mathlib.Algebra.Lie.Nilpotent

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule