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