∀ {α : Type u_1} {G : Subgroup (Equiv.Perm α)} [inst : Fintype α] [inst_1 : DecidableEq α] {g : Equiv.Perm α},
  g.IsCycle →
    g ∈ G →
      MulAction.IsPretransitive ↥(fixingSubgroup (↥G) (↑g.support)ᶜ) ↥(SubMulAction.ofFixingSubgroup (↥G) (↑g.support)ᶜ)