Theorems · Theorem · group theory
Subgroup.upperCentralSeriesAux.eq_def
∀ (G : Type u_1) [inst : Group G] (x : ℕ),
Subgroup.upperCentralSeriesAux G x =
match x with
| 0 => ⟨⊥, ⋯⟩
| n.succ =>
let un := Subgroup.upperCentralSeriesAux G n;
have _un_characteristic := ⋯;
⟨un.fst.upperCentralSeriesStep, ⋯⟩- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 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.
- Groupstatement and proof · cited by 6,238
- Bot.botstatement and proof · cited by 4,720
- Subgroupstatement and proof · cited by 3,593
- Subgroup.Characteristicstatement and proof · cited by 20
- Subgroup.upperCentralSeriesStepstatement and proof · cited by 8
- Subgroup.upperCentralSeriesAuxstatement and proof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.