Theorems · Theorem · group theory
AddSubgroup.top_subtype_lowerCentralSeries
∀ {G : Type u_1} [inst : AddGroup G] (H : AddSubgroup G) (n : ℕ),
AddSubgroup.map H.subtype (⊤.lowerCentralSeries n) = H.lowerCentralSeries n- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 73 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.
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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.mapstatement · cited by 189
- AddSubgroup.subtypestatement and proof · cited by 82
- AddSubgroup.lowerCentralSeriesstatement and proof · cited by 37
- AddMonoidHom.range_eq_mapproof · cited by 15
- AddSubgroup.map_lowerCentralSeriesproof · cited by 4
- AddSubgroup.subtype_rangeproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- AddSubgroup.isNilpotent_iff_lowerCentralSeriesproof · cited by 2
- AddSubgroup.lowerCentralSeries_eq_bot_of_nilpotencyClass_leproof · cited by 0
- AddSubgroup.nilpotencyClass_leproof · cited by 0
- AddSubgroup.lowerCentralSeries_map_subtype_leproof · cited by 0