Theorems · Theorem · group theory
Subgroup.center_le_centralizer
∀ {G : Type u_1} [inst : Group G] (s : Set G), Subgroup.center G ≤ Subgroup.centralizer s- Defined in
- Mathlib.GroupTheory.Subgroup.Centralizer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- Subgroup.centerstatement · cited by 121
- Subgroup.centralizerstatement · cited by 65
- Set.center_subset_centralizerproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.commutator_center_leftproof · cited by 0