proposition: Proposition ProductArrow_eq {d : I → C} (w : C) (x : Product d) (f g : w --> x) (p : ∏ (i : I), f · ProductPr x i = g · ProductPr x i) : f = g.
proof: Proof. refine (ProductArrowEta _ _ _ _ @ _ @ !(ProductArrowEta _ _ _ _)). 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.Limits.Graphs.Limits UniMath.Combinatorics.StandardFiniteSets