Definition data_cat_eq_1 (C D : precategory_data) (Fo : (ob C) = ob D) : UU := transportf (λ z, z → z → UU) Fo (@precategory_morphisms C) = @precategory_morphisms D.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.catiso.