Theorems · Theorem · group theory
Subgroup.lowerCentralSeries_succ
∀ {G : Type u_1} [inst : Group G] (S : Subgroup G) (n : ℕ), S.lowerCentralSeries (n + 1) = ⁅S.lowerCentralSeries n, S⁆- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 5 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Bracket.bracketstatement · cited by 642
- Subgroup.lowerCentralSeriesstatement · cited by 57
Cited by5
Results whose statement or proof uses this declaration.
- Subgroup.map_lowerCentralSeriesproof · cited by 4
- Subgroup.lowerCentralSeries_antitoneproof · cited by 3
- Subgroup.lowerCentralSeries_succ_eq_botproof · cited by 3
- Subgroup.self_le_normalizer_lowerCentralSeriesproof · cited by 1
- lowerCentralSeries_succproof · cited by 0