Theorems · Theorem · group theory
CommGroup.center_eq_top
∀ {G : Type u_2} [inst : CommGroup G], Subgroup.center G = ⊤- Defined in
- Mathlib.GroupTheory.Subgroup.Center
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Subgroupstatement · cited by 3,593
- mul_commproof · cited by 2,262
- CommGroupstatement and proof · cited by 990
- Subgroup.centerstatement and proof · cited by 121
- Subgroup.eq_top_iff'proof · cited by 13
- Subgroup.mem_center_iffproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- CommGroup.nilpotencyClass_le_oneproof · cited by 1