Theorems · Theorem · nonassociative algebras

LieModule.genWeightSpace_zero_normalizer_eq_self

∀ (R : Type u_2) (L : Type u_3) (M : Type u_4) [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]
  [inst_7 : LieRing.IsNilpotent L], (LieModule.genWeightSpace M 0).normalizer = LieModule.genWeightSpace M 0

Defined in: Mathlib.Algebra.Lie.Weights.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing LieRing LieAlgebra AddCommGroup Module LieRingModule LieModule LieRing.IsNilpotent

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Cites21

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coeproof · cited by 62,936
Modulestatement and proof · cited by 20,661
CommRingstatement and proof · cited by 17,173
AddCommGroupstatement and proof · cited by 12,871
le_antisymmproof · cited by 2,068
LieRingstatement and proof · cited by 1,548
LieAlgebrastatement and proof · cited by 1,246
sub_zeroproof · cited by 938
LieRingModulestatement and proof · cited by 727
zero_smulproof · cited by 716
Bracket.bracketproof · cited by 642
LieSubmodulestatement · cited by 489

Cited by1

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LieModule.iSup_ucs_le_genWeightSpace_zeroproof · cited by 1