Theorems · Theorem · nonassociative algebras
LieSubmodule.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 : LieSubmodule R L M), N ≤ N.normalizer- Defined in
- Mathlib.Algebra.Lie.Normalizer
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- 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
- LieSubmodule.lie_memproof · cited by 23
- LieSubmodule.normalizerstatement · cited by 21
- LieSubmodule.mem_normalizerproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- LieSubalgebra.le_normalizerproof · cited by 5
- LieModule.genWeightSpace_zero_normalizer_eq_selfproof · cited by 1