Definition carrier_of_sub_precategory (C : category)(C':sub_precategories C) : precategory := tpair _ _ (is_precategory_sub_precategory C 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.