Theorems · Theorem · group theory
AddSubgroup.comap_upperCentralSeries
∀ {G : Type u_1} [inst : AddGroup G] {H : Type u_2} [inst_1 : AddGroup H] (e : H ≃+ G) (n : ℕ),
AddSubgroup.comap (↑e) (AddSubgroup.upperCentralSeries G n) = AddSubgroup.upperCentralSeries H n- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 3,232
- AddEquivstatement and proof · cited by 1,087
- AddMonoidHomClass.toAddMonoidHomstatement · cited by 232
- AddSubgroup.comapstatement · cited by 123
- AddSubgroup.upperCentralSeriesstatement · cited by 32
Cited by1
Results whose statement or proof uses this declaration.
- AddGroup.isNilpotent_congrproof · cited by 1