Theorems · Theorem · group theory
Subgroup.upperCentralSeries_zero
∀ (G : Type u_1) [inst : Group G], Subgroup.upperCentralSeries G 0 = ⊥
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 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.
Cites4
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
- Bot.botstatement · cited by 4,720
- Subgroupstatement · cited by 3,593
- Subgroup.upperCentralSeriesstatement · cited by 51
Cited by2
Results whose statement or proof uses this declaration.
- Group.nilpotencyClass_zero_iff_subsingletonproof · cited by 2
- upperCentralSeries_zeroproof · cited by 0