Theorems · Theorem · group theory
Subgroup.upperCentralSeries.StrictMonoOn
∀ (G : Type u_1) [inst : Group G], StrictMonoOn (Subgroup.upperCentralSeries G) (Set.Iic (Group.nilpotencyClass G))
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- LT.lt.leproof · cited by 2,189
- Set.Iicstatement and proof · cited by 1,111
- lt_of_le_of_neproof · cited by 230
- StrictMonoOnstatement and proof · cited by 194
- Group.IsNilpotentproof · cited by 80
- Subgroup.upperCentralSeriesstatement and proof · cited by 51
- Group.nilpotencyClassstatement and proof · cited by 47
- Nat.bot_eq_zeroproof · cited by 8
- Set.Iic_botproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.upperCentralSeries.card_image_eq_of_le_nilpotencyClassproof · cited by 1
- upperCentralSeries.StrictMonoOnproof · cited by 0