Theorems · Theorem · group theory
Set.addCenter_subset_addCentralizer
∀ {M : Type u_1} [inst : Add M] (S : Set M), Set.addCenter M ⊆ S.addCentralizer- Defined in
- Mathlib.Algebra.Group.Center
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Set.addCentralizerstatement · cited by 20
- Set.addCenterstatement and proof · cited by 20
- AddCommute.symmproof · cited by 18
- IsAddCentral.commproof · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- AddSubgroup.center_le_centralizerproof · cited by 1
- AddSubsemigroup.center_le_centralizerproof · cited by 0
- AddSubmonoid.center_le_centralizerproof · cited by 0