Theorems · Theorem · group theory
Equiv.Perm.not_isSolvable
∀ (X : Type u_3), 5 ≤ Cardinal.mk X → ¬Group.IsSolvable (Equiv.Perm X)
- Defined in
- Mathlib.GroupTheory.Solvable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Equiv.Permstatement and proof · cited by 1,375
- Function.Embeddingproof · cited by 988
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftproof · cited by 583
- Nonempty.someproof · cited by 340
- Cardinal.lift_idproof · cited by 163
- Group.IsSolvablestatement and proof · cited by 46
- Cardinal.lift_natCastproof · cited by 39
- Cardinal.lift_mk_leproof · cited by 10
- Group.isSolvable_of_isSolvable_injectiveproof · cited by 4
- Cardinal.mk_finproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.not_solvableproof · cited by 0