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Theorems · Theorem · group theory

upperCentralSeries.eq_ge_of_eq_succ

Deprecated since 2026-03-25Use Subgroup.upperCentralSeries.eq_ge_of_eq_succ instead.

∀ {G : Type u_1} [inst : Group G] {a b : ℕ},
  a ≤ b →
    Subgroup.upperCentralSeries G a = Subgroup.upperCentralSeries G (a + 1) →
      Subgroup.upperCentralSeries G a = Subgroup.upperCentralSeries G b

Alias of Subgroup.upperCentralSeries.eq_ge_of_eq_succ.

Defined in
Mathlib.GroupTheory.Nilpotent
Cited by
0 results in Mathlib
Foundations
Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Group · cited by 6238GroupSubgroup · cited by 3593SubgroupSubgroup.upperCentralSeries · cited by 51Subgroup.upperCentralSeri…Subgroup.upperCentralSeries.eq_ge_of_eq_succ · cited by 3upperCentralSeries.eq_ge_…upperCentralSeries.eq_ge_of_e…CITED BYCITES

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