Theorems · Theorem · group theory
Subgroup.lowerCentralSeries_antitone
∀ {G : Type u_1} [inst : Group G] (S : Subgroup G), Antitone S.lowerCentralSeries- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 76 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.
Cites8
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
- Antitonestatement · cited by 563
- Subgroup.lowerCentralSeriesstatement and proof · cited by 57
- antitone_nat_of_succ_leproof · cited by 21
- Subgroup.lowerCentralSeries_succproof · cited by 5
- Subgroup.le_normalizer_iff_commutator_le_leftproof · cited by 1
- Subgroup.self_le_normalizer_lowerCentralSeriesproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Subgroup.lowerCentralSeries_eq_bot_iff_nilpotencyClass_leproof · cited by 4
- Subgroup.lowerCentralSeries_le_selfproof · cited by 0
- lowerCentralSeries_antitoneproof · cited by 0