Theorems · Theorem · group theory
AddSubgroup.lowerCentralSeries.map
Deprecated since 2026-05-28Mathlib marks this declaration as deprecated.
∀ {G : Type u_1} [inst : AddGroup G] {K : Type u_2} [inst_1 : AddGroup K] (f : G →+ K) (n : ℕ),
AddSubgroup.map f (⊤.lowerCentralSeries n) ≤ ⊤.lowerCentralSeries n- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- le_topproof · cited by 411
- AddSubgroup.mapstatement and proof · cited by 189
- AddSubgroup.lowerCentralSeriesstatement and proof · cited by 37
- AddSubgroup.lowerCentralSeries_monoproof · cited by 5
- AddSubgroup.map_lowerCentralSeriesproof · cited by 4
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