Definition hset_struct_with_smash_closed_setquotpr {PC : hset_struct_with_smash_closed} (PX PY : category_of_hset_struct PC) : hset_struct_prod_ob PX PY --> PX ∧* PY := _ ,, hset_struct_with_smash_setquotpr (pr122 PC) (pr2 PX) (pr2 PY).
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.