Theorems · Theorem · group theory
lowerCentralSeries.map
Deprecated since 2026-03-25Use Subgroup.lowerCentralSeries.map instead.
∀ {G : Type u_1} [inst : Group G] {K : Type u_2} [inst_1 : Group K] (f : G →* K) (n : ℕ),
Subgroup.map f (⊤.lowerCentralSeries n) ≤ ⊤.lowerCentralSeries nAlias of Subgroup.lowerCentralSeries.map.
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Subgroup.mapstatement · cited by 301
- Subgroup.lowerCentralSeriesstatement · cited by 57
- Subgroup.lowerCentralSeries.mapproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.