fact: Definition make_isCoproductCocone (a b co : C) (ia : a --> co) (ib : b --> co) : (∏ (c : C) (f : a --> c) (g : b --> c), ∃! k : C ⟦co, c⟧, ia · k = f × ib · k = g) -> isCoproductCocone a b co ia ib.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.RepresentableFunctors.Representation