Theorems · Theorem · nonassociative algebras
LieSubalgebra.le_normalizer
∀ {R : Type u_1} {L : Type u_2} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
(H : LieSubalgebra R L), H ≤ H.normalizer- Defined in
- Mathlib.Algebra.Lie.Normalizer
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement and proof · cited by 418
- LieSubalgebra.toLieSubmoduleproof · cited by 26
- LieSubalgebra.normalizerstatement · cited by 19
- LieSubmodule.le_normalizerproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- LieSubalgebra.normalizer_engelproof · cited by 1
- LieAlgebra.zeroRootSubalgebra_normalizer_eq_selfproof · cited by 1
- LieSubalgebra.normalizer_eq_self_iffproof · cited by 1
- LieAlgebra.isEngelian_of_isNoetherianproof · cited by 1
- LieSubalgebra.normalizer_eq_self_of_engel_leproof · cited by 0