{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {α : Type w} →
      [inst_1 : CategoryTheory.Limits.HasFiniteProducts C] →
        (f : α → C) →
          [CategoryTheory.Limits.HasLimitsOfShape (Finset (CategoryTheory.Discrete α))ᵒᵖ C] →
            [inst_3 : CategoryTheory.Limits.HasProduct f] →
              CategoryTheory.Limits.IsLimit (CategoryTheory.Limits.ProductsFromFiniteCofiltered.finiteSubproductsCone f)