Theorems · Theorem · nonassociative algebras
LieSubalgebra.coe_normalizer_eq_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.toLieSubmodule.normalizer = H.normalizer.toSubmodule- Defined in
- Mathlib.Algebra.Lie.Normalizer
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Submodulestatement · cited by 7,192
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement and proof · cited by 418
- LieSubmodule.toSubmodulestatement · cited by 150
- LieSubalgebra.toSubmodulestatement · cited by 90
- LieSubalgebra.toLieSubmodulestatement · cited by 26
- LieSubmodule.normalizerstatement · cited by 21
- LieSubalgebra.normalizerstatement · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- LieSubalgebra.normalizer_eq_self_of_isCartanSubalgebraproof · cited by 3
- LieSubalgebra.isCartanSubalgebra_iff_isUcsLimitproof · cited by 0