Definition top_disp_cat_ob_mor : disp_cat_ob_mor hset_category. Proof. use make_disp_cat_ob_mor. - intro X. exact (isTopologicalSpace X). - intros X Y T U f. exact (@continuous (X,,T) (Y,,U) f). Defined.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.Algebra.DivisionRig. Require Import UniMath.Algebra.ConstructiveStructures. Require Import UniMath.Topology.Topology. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Categories.HSET.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Core.