Theorems · Theorem · group theory
lowerCentralSeries_one
Deprecated since 2026-03-25Use Subgroup.top_lowerCentralSeries_one instead.
∀ {G : Type u_1} [inst : Group G], ⊤.lowerCentralSeries 1 = commutator GAlias of Subgroup.top_lowerCentralSeries_one.
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 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 · cited by 6,238
- Subgroupstatement · cited by 3,593
- Subgroup.lowerCentralSeriesstatement · cited by 57
- commutatorstatement · cited by 56
- Subgroup.top_lowerCentralSeries_oneproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.