Definition hset_struct_with_smash_closed : UU := ∑ (P : hset_cartesian_struct) (Pt : pointed_hset_struct P) (SP : hset_struct_with_smash P Pt) (PC : hset_struct_with_smash_closed_adj SP), hset_struct_with_smash_closed_laws_enrich PC.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Structures.CartesianStructure. Require Import UniMath.CategoryTheory.DisplayedCats.Structures.StructureLimitsAndColimits.