Theorems · Theorem · nonassociative algebras
LieSubalgebra.IsCartanSubalgebra.self_normalizing
∀ {R : Type u} {L : Type v} {inst : CommRing R} {inst_1 : LieRing L} {inst_2 : LieAlgebra R L} {H : LieSubalgebra R L}
[self : H.IsCartanSubalgebra], H.normalizer = H- Defined in
- Mathlib.Algebra.Lie.CartanSubalgebra
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.IsCartanSubalgebrastatement and proof · cited by 135
- LieSubalgebra.normalizerstatement · cited by 19
Cited by3
Results whose statement or proof uses this declaration.
- LieSubalgebra.normalizer_eq_self_of_isCartanSubalgebraproof · cited by 3
- LieAlgebra.IsKilling.isSemisimple_ad_of_mem_isCartanSubalgebraproof · cited by 1
- LieSubalgebra.ne_bot_of_isCartanSubalgebraproof · cited by 0