Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.coe_centralizer_centralizer
∀ (R : Type u) {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : StarRing A]
[inst_3 : Module R A] [inst_4 : IsScalarTower R A A] [inst_5 : SMulCommClass R A A] (s : Set A),
↑(NonUnitalStarSubalgebra.centralizer R ↑(NonUnitalStarSubalgebra.centralizer R s)) =
(s ∪ star s).centralizer.centralizer- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement and proof · cited by 8,199
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- StarRingstatement and proof · cited by 1,686
- Star.starstatement and proof · cited by 1,082
- NonUnitalSemiringstatement and proof · cited by 339
- NonUnitalStarSubalgebrastatement · cited by 196
- Set.centralizerstatement and proof · cited by 57
- Set.union_selfproof · cited by 32
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalStarAlgebra.isMulCommutative_adjoinproof · cited by 1