Theorems · Theorem · group theory
Subgroup.center_eq_top
∀ {G : Type u_1} [inst : Group G] [hG : IsMulCommutative G], Subgroup.center G = ⊤- Defined in
- Mathlib.GroupTheory.Subgroup.Center
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupIsMulCommutative
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.
- Top.topstatement · cited by 9,680
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- Subgroup.centerstatement · cited by 121
- IsMulCommutativestatement and proof · cited by 95
- Subgroup.center_eq_top_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.SpecialLinearGroup.toGL_mem_center_iffproof · cited by 0