Theorems · Theorem · group theory
Equiv.Perm.isCyclic_of_card_le_two
∀ {α : Type u_1} [Finite α], Nat.card α ≤ 2 → IsCyclic (Equiv.Perm α)- Defined in
- Mathlib.Data.Finite.Perm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finitestatement and proof · cited by 3,029
- Equiv.Permstatement · cited by 1,375
- Nat.cardstatement and proof · cited by 844
- IsCyclicstatement · cited by 122
- Nat.card_permproof · cited by 10
- Nat.factorial_dvd_factorialproof · cited by 6
- isCyclic_of_card_dvd_primeproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.isCyclic_iff_card_le_twoproof · cited by 0