∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] (α : Type w)
  [inst_1 : CategoryTheory.Limits.HasFiniteProducts C] (F : CategoryTheory.Functor (CategoryTheory.Discrete α) C)
  (s : (Finset (CategoryTheory.Discrete α))ᵒᵖ),
  ((CategoryTheory.Limits.ProductsFromFiniteCofiltered.liftToFinset C α).obj F).obj s = ∏ᶜ fun x => F.obj ↑x