Theorems · Definition · group theory
Set.addCenter
(M : Type u_1) → [Add M] → Set M
The center of an additive magma.
- Defined in
- Mathlib.Algebra.Group.Center
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- Add
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
- IsAddCentralproof · cited by 8
Cited by22
Results whose statement or proof uses this declaration.
- AddSubsemigroup.centerproof · cited by 19
- AddSubmonoid.centerproof · cited by 15
- AddSemigroup.mem_center_iffstatement and proof · cited by 9
- Set.mem_addCenter_iffstatement · cited by 4
- Set.addCenter_prodstatement · cited by 3
- Set.addCenter_subset_addCentralizerstatement and proof · cited by 3
- Set.addCentralizer_eq_top_iff_subsetstatement and proof · cited by 3
- Set.addCentralizer_univstatement and proof · cited by 3
- Set.addCenter_pistatement · cited by 2
- AddOpposite.op_mem_center_iffstatement · cited by 1
- AddEquivClass.apply_mem_centerstatement and proof · cited by 1
- Set.neg_mem_addCenterstatement and proof · cited by 1