fact: Definition Coroof (x y : ob C) : UU := ∑ D : (∑ z : ob C, C⟦x, z⟧ × C⟦y, z⟧), (SOM y (pr1 D) (dirprod_pr2 (pr2 D))).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors