Theorems · Theorem · nonassociative algebras

LieSubmodule.top_lie_le_iff_le_normalizer

∀ {R : Type u_1} {L : Type u_2} {M : Type u_3} [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]
  (N N' : LieSubmodule R L M), ⁅⊤, N⁆ ≤ N' ↔ N ≤ N'.normalizer

Defined in

Mathlib.Algebra.Lie.Normalizer

Cited by

2 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule