fact: Definition is_universal_arrow_to {D C : precategory} (S : functor D C) (c : C) (r : D) (v : C⟦c, S r⟧) : UU := ∏ (d : D) (f : C⟦c, S d⟧), ∃! (f' : D⟦r,d⟧), v · #S f' = f.
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.Epis UniMath.CategoryTheory.Epis UniMath.CategoryTheory.SplitMonicsAndEpis UniMath.CategoryTheory.Monics UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering