Theorems · Theorem · group theory
lowerCentralSeries_isDescendingCentralSeries
Deprecated since 2026-03-25Use Subgroup.lowerCentralSeries_isDescendingCentralSeries instead.
∀ {G : Type u_1} [inst : Group G], Subgroup.IsDescendingCentralSeries ⊤.lowerCentralSeriesAlias of Subgroup.lowerCentralSeries_isDescendingCentralSeries.
The lower central series of a group is a descending central series.
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Groupstatement · cited by 6,238
- Subgroupstatement · cited by 3,593
- Subgroup.lowerCentralSeriesstatement · cited by 57
- Subgroup.IsDescendingCentralSeriesstatement · cited by 14
- Subgroup.lowerCentralSeries_isDescendingCentralSeriesproof · cited by 3
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