proposition: Proposition CoproductArrow_eq {d : I → C} (z : C) (x : Coproduct d) (f g : x --> z) (p : ∏ (i : I), CoproductIn x i · f = CoproductIn x i · g) : f = g.
proof: Proof. refine (CoproductArrowEta _ _ _ _ @ _ @ !(CoproductArrowEta _ _ _ _)). apply maponpaths. use funextsec. exact p. 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