Theorems · Theorem · group theory
upperCentralSeries_zero
Deprecated since 2026-03-25Use Subgroup.upperCentralSeries_zero instead.
∀ (G : Type u_1) [inst : Group G], Subgroup.upperCentralSeries G 0 = ⊥
Alias of Subgroup.upperCentralSeries_zero.
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement · cited by 6,238
- Bot.botstatement · cited by 4,720
- Subgroupstatement · cited by 3,593
- Subgroup.upperCentralSeriesstatement · cited by 51
- Subgroup.upperCentralSeries_zeroproof · cited by 2
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