Theorems · Theorem · group theory
AddSubgroup.lowerCentralSeries_succ
∀ {G : Type u_1} [inst : AddGroup G] (S : AddSubgroup G) (n : ℕ),
S.lowerCentralSeries (n + 1) = ⁅S.lowerCentralSeries n, S⁆- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- Bracket.bracketstatement · cited by 642
- AddSubgroup.lowerCentralSeriesstatement · cited by 37
Cited by4
Results whose statement or proof uses this declaration.
- AddSubgroup.map_lowerCentralSeriesproof · cited by 4
- AddSubgroup.lowerCentralSeries_succ_eq_botproof · cited by 2
- AddSubgroup.lowerCentralSeries_antitoneproof · cited by 2
- AddSubgroup.self_le_normalizer_lowerCentralSeriesproof · cited by 1