Theorems · Theorem · group theory
alternatingGroup.exponent_kleinFour_of_card_eq_four
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α],
Nat.card α = 4 → Monoid.exponent ↥(alternatingGroup.kleinFour α) = 2- Cited by
- 1 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Fintypestatement and proof · cited by 7,736
- Set.ofPredproof · cited by 6,101
- Subgroupstatement · cited by 3,593
- Multisetproof · cited by 2,627
- Equiv.Permstatement and proof · cited by 1,375
- Nat.cardstatement and proof · cited by 844
- one_powproof · cited by 521
- orderOfproof · cited by 324
- SetLike.mem_coeproof · cited by 302
- Monoid.exponentstatement and proof · cited by 128
- alternatingGroupstatement and proof · cited by 96
Cited by1
Results whose statement or proof uses this declaration.
- alternatingGroup.kleinFour_isKleinFourproof · cited by 0