Definition sub_precategory_predicate_morphisms {C : category} (C':sub_precategories C) (a b : C) : hsubtype (a --> b) := pr2 (pr1 C') a b.
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.