proposition: Proposition total_category_CoproductInCommutes (i : I) : total_category_CoproductIn i · total_category_CoproductArrow = t_f i.
proof: Proof. use total2_paths_f. - exact (CoproductInCommutes _ _ _ p _ _ i). - exact (pr21 (pr22 pp w ww f ff) i). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.Limits.Products UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total