Theorems · Theorem · group theory
AddSubgroup.top_lowerCentralSeries_sum
∀ {G₁ : Type u_2} {G₂ : Type u_3} [inst : AddGroup G₁] [inst_1 : AddGroup G₂] (n : ℕ),
⊤.lowerCentralSeries n = (⊤.lowerCentralSeries n).prod (⊤.lowerCentralSeries n)- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.lowerCentralSeriesstatement and proof · cited by 37
- AddSubgroup.prodstatement · cited by 34
- AddSubgroup.lowerCentralSeries_sumproof · cited by 1
- AddSubgroup.top_prod_topproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddGroup.nilpotencyClass_sumproof · cited by 0