Theorems · Theorem · group theory
lowerCentralSeries_map_subtype_le
Deprecated since 2026-03-25Use Subgroup.lowerCentralSeries_map_subtype_le instead.
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G) (n : ℕ),
Subgroup.map H.subtype (⊤.lowerCentralSeries n) ≤ ⊤.lowerCentralSeries nAlias of Subgroup.lowerCentralSeries_map_subtype_le.
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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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.mapstatement · cited by 301
- Subgroup.subtypestatement · cited by 185
- Subgroup.lowerCentralSeriesstatement · cited by 57
- Subgroup.lowerCentralSeries_map_subtype_leproof · cited by 1
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