Theorems · Theorem · group theory
Group.IsNilpotent.center_ne_bot
∀ (G : Type u_1) [inst : Group G] [Nontrivial G] [Group.IsNilpotent G], Subgroup.center G ≠ ⊥
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Bot.botstatement and proof · cited by 4,720
- Subgroupstatement · cited by 3,593
- Nontrivialstatement and proof · cited by 2,416
- Subgroup.centerstatement · cited by 121
- zero_ne_oneproof · cited by 90
- Group.IsNilpotentstatement and proof · cited by 80
- Subgroup.upperCentralSeries_oneproof · cited by 7
- Subgroup.upperCentralSeries.eq_topproof · cited by 2
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