Theorems · Theorem · group theory
AddGroup.isNilpotent_congr
∀ {G : Type u_1} [inst : AddGroup G] {H : Type u_2} [inst_1 : AddGroup H] (e : G ≃+ H),
AddGroup.IsNilpotent G ↔ AddGroup.IsNilpotent H- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddEquivstatement and proof · cited by 1,087
- AddEquiv.symmproof · cited by 530
- AddMonoidHomClass.toAddMonoidHomproof · cited by 232
- AddSubgroup.comapproof · cited by 123
- AddEquiv.toAddMonoidHomproof · cited by 101
- AddGroup.IsNilpotentstatement · cited by 42
- AddSubgroup.upperCentralSeriesproof · cited by 32
- AddSubgroup.comap_topproof · cited by 7
- AddSubgroup.comap_upperCentralSeriesproof · cited by 1
- AddGroup.isNilpotent_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddGroup.isNilpotent_topproof · cited by 2