Theorems · Theorem · group theory
AddSubgroup.map_lowerCentralSeries
∀ {G : Type u_1} [inst : AddGroup G] (S : AddSubgroup G) {K : Type u_2} [inst_1 : AddGroup K] (f : G →+ K) (n : ℕ),
AddSubgroup.map f (S.lowerCentralSeries n) = (AddSubgroup.map f S).lowerCentralSeries n- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- Bracket.bracketproof · cited by 642
- AddSubgroup.mapstatement and proof · cited by 189
- AddSubgroup.lowerCentralSeriesstatement and proof · cited by 37
- AddSubgroup.map_addCommutatorproof · cited by 6
- AddSubgroup.lowerCentralSeries_succproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- AddSubgroup.top_subtype_lowerCentralSeriesproof · cited by 4
- AddGroup.nilpotencyClass_le_of_ker_le_centerproof · cited by 1
- AddSubgroup.isNilpotent_of_ker_le_centerproof · cited by 1
- AddSubgroup.lowerCentralSeries.mapproof · cited by 0