Theorems · Theorem · group theory
Group.isNilpotent_top
∀ {G : Type u_1} [inst : Group G], Group.IsNilpotent ↥⊤ ↔ Group.IsNilpotent G- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 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 · cited by 9,680
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- Group.IsNilpotentstatement · cited by 80
- Subgroup.topEquivproof · cited by 10
- Group.isNilpotent_congrproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.nilpotent_iff_lowerCentralSeriesproof · cited by 9