Theorems · Theorem · group theory
alternatingGroup.index_eq_two
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] [Nontrivial α], (alternatingGroup α).index = 2- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEqNontrivial
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.
- Fintypestatement and proof · cited by 7,736
- Subgroupproof · cited by 3,593
- Unitsproof · cited by 2,804
- Nontrivialstatement and proof · cited by 2,416
- Equiv.Permstatement and proof · cited by 1,375
- Nat.cardproof · cited by 844
- Nat.card_eq_fintype_cardproof · cited by 200
- Subgroup.indexstatement and proof · cited by 150
- Equiv.Perm.signproof · cited by 138
- alternatingGroupstatement · cited by 96
- MonoidHom.range_eq_topproof · cited by 29
- Subgroup.index_kerproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- two_mul_nat_card_alternatingGroupproof · cited by 3
- Equiv.Perm.eq_alternatingGroup_of_index_eq_twoproof · cited by 1