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Theorems · Theorem · nonassociative algebras

LieIdeal.idealizer_eq_normalizer

∀ {R : Type u_1} {L : Type u_2} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L),
  LieSubmodule.idealizer I = LieSubmodule.normalizer I
Defined in
Mathlib.Algebra.Lie.Normalizer
Cited by
2 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Quot.sound
Assumes
CommRingLieRingLieAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LieIdeal.killingForm_eq · cited by 1LieIdeal.killingForm_eqLieIdeal.le_killingCompl_top_of_isLieAbelian · cited by 1LieIdeal.le_killingCompl_…CommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraBracket.bracket · cited by 642Bracket.bracketLieIdeal · cited by 282LieIdeallie_skew · cited by 26lie_skewLieSubmodule.normalizer · cited by 21LieSubmodule.normalizerLieSubmodule.ext · cited by 20LieSubmodule.extLieSubmodule.idealizer · cited by 6LieSubmodule.idealizerLieIdeal.idealizer_eq_normali…CITED BYCITES

Cites9

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Cited by2

Results whose statement or proof uses this declaration.