Theorems · Theorem · group theory
Subgroup.lowerCentralSeries_mono
∀ {G : Type u_1} [inst : Group G] (n : ℕ), Monotone fun S => S.lowerCentralSeries n- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 72 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Monotonestatement and proof · cited by 1,397
- Subgroup.lowerCentralSeriesstatement and proof · cited by 57
- Subgroup.commutator_monoproof · cited by 11
Cited by5
Results whose statement or proof uses this declaration.
- Group.nilpotencyClass_le_of_ker_le_centerproof · cited by 2
- Subgroup.isNilpotent_of_ker_le_centerproof · cited by 2
- Subgroup.lowerCentralSeries.mapproof · cited by 1
- Subgroup.lowerCentralSeries_map_subtype_leproof · cited by 1
- Subgroup.nilpotencyClass_leproof · cited by 0