∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {α : Type w}
  [inst_1 : CategoryTheory.Limits.HasFiniteProducts C] (F F_1 : CategoryTheory.Functor (CategoryTheory.Discrete α) C),
  F = F_1 →
    CategoryTheory.Limits.ProductsFromFiniteCofiltered.liftToFinsetObj F =
      CategoryTheory.Limits.ProductsFromFiniteCofiltered.liftToFinsetObj F_1