Theorems · Theorem · ring theory
Set.star_mem_center
∀ {R : Type u_1} [inst : Mul R] [inst_1 : StarMul R] {a : R}, a ∈ Set.center R → star a ∈ Set.center R- Defined in
- Mathlib.Algebra.Star.Center
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses 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
- Star.starstatement and proof · cited by 1,082
- StarMulstatement and proof · cited by 195
- star_starproof · cited by 135
- Commute.symmproof · cited by 79
- StarMul.star_mulproof · cited by 72
- Set.centerstatement and proof · cited by 49
- IsMulCentral.commproof · cited by 26
- IsMulCentral.right_assocproof · cited by 9
- IsMulCentral.left_assocproof · cited by 7
- Set.mem_center_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SubStarSemigroup.centerproof · cited by 0