Theorems · Theorem · group theory
Subgroup.lowerCentralSeries_map_subtype_le
Deprecated since 2026-05-27Mathlib marks this declaration as deprecated.
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G) (n : ℕ),
Subgroup.map H.subtype (⊤.lowerCentralSeries n) ≤ ⊤.lowerCentralSeries n- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 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.
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
- Subgroupstatement and proof · cited by 3,593
- le_topproof · cited by 411
- Subgroup.mapstatement · cited by 301
- Subgroup.subtypestatement · cited by 185
- Subgroup.lowerCentralSeriesstatement and proof · cited by 57
- Subgroup.lowerCentralSeries_monoproof · cited by 5
- Subgroup.top_subtype_lowerCentralSeriesproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- lowerCentralSeries_map_subtype_leproof · cited by 0