fact: Definition cat_coprod_rec (f : x $-> z) (g : y $-> z) : cat_coprod x y $-> z := @cat_prod_corec A^op x y _ _ _ _ _ _ f g.
imports: Basics EquivGpd Types.Prod Types.Sum WildCat.Core WildCat.ZeroGroupoid WildCat.Equiv WildCat.Yoneda WildCat.Universe WildCat.NatTrans WildCat.Opposite WildCat.Products