fact: Definition make_isProduct (hsC : has_homsets C) (a : I -> C) (p : C) (pa : ∏ i, C⟦p,a i⟧) : (∏ (c : C) (f : ∏ i, C⟦c,a i⟧), ∃! k : C⟦c,p⟧, ∏ i, k · pa i = f i) -> isProduct a p pa.
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