Theorems · Theorem · group theory
alternatingGroup.closure_isThreeCycles_eq_top
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α], Subgroup.closure {g | (↑g).IsThreeCycle} = ⊤- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Top.topstatement and proof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Set.Elemproof · cited by 7,166
- Set.ofPredstatement and proof · cited by 6,101
- Set.imageproof · cited by 5,609
- Subgroupstatement and proof · cited by 3,593
- Equiv.Permstatement and proof · cited by 1,375
- Subgroup.mapproof · cited by 301
- Subgroup.closurestatement and proof · cited by 196
- Subgroup.subtypeproof · cited by 185
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