Theorems · Theorem · group theory
AddSubgroup.lowerCentralSeries_nilpotencyClass
∀ {G : Type u_1} [inst : AddGroup G] [hG : AddGroup.IsNilpotent G],
⊤.lowerCentralSeries (AddGroup.nilpotencyClass G) = ⊥- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupAddGroup.IsNilpotent
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Bot.botstatement and proof · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- Nat.find_specproof · cited by 74
- AddGroup.IsNilpotentstatement and proof · cited by 42
- AddSubgroup.lowerCentralSeriesstatement and proof · cited by 37
- AddGroup.nilpotencyClassstatement · cited by 26
- AddSubgroup.nilpotent_iff_lowerCentralSeriesproof · cited by 7
- AddSubgroup.lowerCentralSeries_length_eq_nilpotencyClassproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.lowerCentralSeries_eq_bot_iff_nilpotencyClass_leproof · cited by 5
- AddGroup.nilpotencyClass_le_of_ker_le_centerproof · cited by 1