Theorems · Theorem · group theory
Equiv.Perm.cycleType_eq_two_two_subset_alternatingGroup
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α], {g | g.cycleType = {2, 2}} ⊆ ↑(alternatingGroup α)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Set.ofPredstatement and proof · cited by 6,101
- Subgroupstatement · cited by 3,593
- Multisetstatement · cited by 2,627
- Equiv.Permstatement and proof · cited by 1,375
- Multiset.sumproof · cited by 388
- Multiset.cardproof · cited by 375
- Set.mem_ofPred_eqproof · cited by 122
- alternatingGroupstatement · cited by 96
- Equiv.Perm.cycleTypestatement and proof · cited by 87
Cited by1
Results whose statement or proof uses this declaration.
- alternatingGroup.closure_cycleType_eq_two_two_eq_topproof · cited by 0