Definition hset_struct_with_smash (P : hset_cartesian_struct) (Pt : pointed_hset_struct P) : UU := ∑ (SP : hset_struct_with_smash_data P Pt), hset_struct_with_smash_laws SP.
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.