proposition: Lemma is_nat_trans_coproduct_nat_trans_in_data i : is_nat_trans _ _ (coproduct_nat_trans_in_data i).
proof: Proof. intros c c' f; apply pathsinv0. now eapply pathscomp0;[apply (CoproductOfArrowsIn I _ (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.whiskering