Theorems · Theorem · group theory
Group.isPerfect_def
∀ {G : Type u_1} [inst : Group G], Group.IsPerfect G ↔ commutator G = ⊤- Defined in
- Mathlib.GroupTheory.IsPerfect
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 70 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.
- Top.topstatement and proof · cited by 9,680
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- commutatorstatement and proof · cited by 56
- Group.IsPerfectstatement and proof · cited by 17
- Group.IsPerfect.commutator_eq_topproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.isPerfect_iffproof · cited by 2
- Group.IsPerfect.top_iffproof · cited by 1