Definition sub_precategory_comp (C : category) (C':sub_precategories C) : ∏ (a b c: ob C) (f: a --> b) (g : b --> c), sub_precategory_predicate_morphisms C' _ _ f -> sub_precategory_predicate_morphisms C' _ _ g -> sub_precategory_predicate_morphisms C' _ _ (f · g) := dirprod_pr2 (pr2 C').
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos.