proposition: Lemma is_nat_trans_product_nat_trans_pr_data i : is_nat_trans _ _ (product_nat_trans_pr_data i).
proof: Proof. intros c c' f. apply (ProductOfArrowsPr I _ (HD (λ i, F i c')) (HD (λ i, F i c))). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.ProductCategory UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.Combinatorics.StandardFiniteSets