fact: Definition precomp_with {C : precategory_data} {a b : C} (f : a --> b) {c : C} (g : b --> c): a --> c := f · g.
imports: UniMath.Foundations.PartA UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories