Theorems · Theorem · group theory
Equiv.Perm.isCyclic_iff_card_le_two
∀ {α : Type u_1} [Finite α], IsCyclic (Equiv.Perm α) ↔ Nat.card α ≤ 2- Defined in
- Mathlib.Data.Finite.Perm
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 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.
Cites6
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 and proof · cited by 1,375
- Nat.cardstatement · cited by 844
- IsCyclicstatement and proof · cited by 122
- Equiv.Perm.isCyclic_of_card_le_twoproof · cited by 1
- Equiv.Perm.isMulCommutative_iff_card_le_twoproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.