Theorems · Theorem · group theory
alternatingGroup.closure_cycleType_eq_two_two_eq_top
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α],
5 ≤ Nat.card α → Subgroup.closure {g | (↑g).cycleType = {2, 2}} = ⊤- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 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.
Cites23
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
- Multisetstatement · cited by 2,627
- Equiv.Permstatement and proof · cited by 1,375
- Nat.cardstatement and proof · cited by 844
- Subgroup.mapproof · cited by 301
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