∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] (x : Cycle α),
  x ∈ Finset.filter Cycle.Nontrivial (Finset.map (Function.Embedding.subtype fun s => s.Nodup) Finset.univ) ↔
    x.Nodup ∧ x.Nontrivial