Theorems · Definition · group theory
Set.center
(M : Type u_1) → [Mul M] → Set M
The center of a magma.
- Defined in
- Mathlib.Algebra.Group.Center
- Cited by
- 49 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
- IsMulCentralproof · cited by 13
Cited by53
Results whose statement or proof uses this declaration.
- Subsemigroup.centerproof · cited by 38
- Subring.centerproof · cited by 28
- Submonoid.centerproof · cited by 24
- Semigroup.mem_center_iffstatement and proof · cited by 12
- Set.center_eq_univstatement and proof · cited by 10
- Set.center_prodstatement · cited by 10
- Set.centralizer_univstatement and proof · cited by 10
- Module.End.smulLeftstatement and proof · cited by 8
- Set.center_subset_centralizerstatement and proof · cited by 8
- Set.centralizer_eq_top_iff_subsetstatement and proof · cited by 8
- Matrix.center_eq_scalar_imagestatement and proof · cited by 6
- Module.End.mem_center_iffstatement and proof · cited by 4