Theorems · Theorem · group theory
Subgroup.lowerCentralSeries.map
Deprecated since 2026-05-28Mathlib marks this declaration as deprecated.
∀ {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 n- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- le_topproof · cited by 411
- Subgroup.mapstatement and proof · cited by 301
- Subgroup.lowerCentralSeriesstatement and proof · cited by 57
- Subgroup.lowerCentralSeries_monoproof · cited by 5
- Subgroup.map_lowerCentralSeriesproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- lowerCentralSeries.mapproof · cited by 0