Definition is_z_iso_total_setcategory_of_set_functor : is_z_isomorphism f. Proof. use make_is_z_isomorphism. - exact is_z_iso_total_setcategory_of_set_functor_inv. - exact is_z_iso_total_setcategory_of_set_functor_is_inverse. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.Categories.CategoryOfSetCategories. Require Import UniMath.CategoryTheory.GrothendieckConstruction.TotalCategory.