Theorems · Theorem · nonassociative algebras

LieModule.iInf_lowerCentralSeries_eq_bot_of_isNilpotent

∀ (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] [LieModule R L M]
  [LieModule.IsNilpotent L M], ⨅ k, LieModule.lowerCentralSeries R L M k = ⊥

Defined in: Mathlib.Algebra.Lie.Nilpotent
Cited by: 0 results in Mathlib
Foundations: Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing LieRing LieAlgebra AddCommGroup Module LieRingModule LieModule LieModule.IsNilpotent

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Modulestatement and proof · cited by 20,661
CommRingstatement and proof · cited by 17,173
AddCommGroupstatement and proof · cited by 12,871
Bot.botstatement and proof · cited by 4,720
iInfstatement and proof · cited by 1,690
LieRingstatement and proof · cited by 1,548
LieAlgebrastatement and proof · cited by 1,246
LieRingModulestatement and proof · cited by 727
LieSubmodulestatement and proof · cited by 489
LieModulestatement and proof · cited by 424
eq_bot_iffproof · cited by 159
iInf_leproof · cited by 104

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