{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    (G : CategoryTheory.Functor Profiniteᵒᵖ C) →
      (S : Profinite) →
        CategoryTheory.Limits.Cocone
          ((CategoryTheory.CostructuredArrow.proj FintypeCat.toProfinite.op (Opposite.op S)).comp
            (FintypeCat.toProfinite.op.comp G))