Theorems · Theorem · group theory
Group.IsPerfect.not_isSolvable
∀ (G : Type u_1) [inst : Group G] [Nontrivial G] [Group.IsPerfect G], ¬Group.IsSolvable G
- Defined in
- Mathlib.GroupTheory.IsPerfect
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- LT.lt.neproof · cited by 872
- Group.IsSolvablestatement and proof · cited by 46
- Group.IsPerfectstatement and proof · cited by 17
- Group.IsPerfect.commutator_eq_topproof · cited by 5
- Group.IsSolvable.commutator_lt_top_of_nontrivialproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Group.IsPerfect.not_isMulCommutativeproof · cited by 0
- Group.IsPerfect.not_isNilpotentproof · cited by 0