Theorems · Theorem · group theory
alternatingGroup.kleinFour_isKleinFour
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α],
Nat.card α = 4 → IsKleinFour ↥(alternatingGroup.kleinFour α)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 128 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.
Cites9
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
- Subgroupstatement · cited by 3,593
- Equiv.Permstatement · cited by 1,375
- Nat.cardstatement and proof · cited by 844
- alternatingGroupstatement · cited by 96
- IsKleinFourstatement · cited by 11
- alternatingGroup.kleinFourstatement · cited by 11
- alternatingGroup.kleinFour_card_of_card_eq_fourproof · cited by 3
- alternatingGroup.exponent_kleinFour_of_card_eq_fourproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.