Definition category_from_two_cat_data (C : two_cat_category) : category. Proof. use make_category. - use make_precategory. + apply (pr1 C). + exact (pr12 C). - exact (pr22 C). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.Core.Univalence.