Theorems · Theorem · group theory
Group.IsPerfect.not_isMulCommutative
∀ (G : Type u_1) [inst : Group G] [Nontrivial G] [Group.IsPerfect G], ¬IsMulCommutative G
- Defined in
- Mathlib.GroupTheory.IsPerfect
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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
- Nontrivialstatement and proof · cited by 2,416
- IsMulCommutativestatement and proof · cited by 95
- Group.IsPerfectstatement and proof · cited by 17
- Group.IsPerfect.not_isSolvableproof · cited by 2
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