Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.coe_center
∀ (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], ↑(NonUnitalStarSubalgebra.center R A) = Set.center A
- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, 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.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement · 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
- NonUnitalSemiringstatement and proof · cited by 339
- NonUnitalStarSubalgebrastatement · cited by 196
- Set.centerstatement · cited by 49
- NonUnitalStarSubalgebra.centerstatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalStarSubalgebra.centralizer_univproof · cited by 0