Proposition hset_struct_with_smash_closed_point_smash {PC : hset_struct_with_smash_closed} (PX PY : category_of_hset_struct PC) : hset_struct_point PC (pr2 (PX ∧* PY)) = setquotpr _ (hset_struct_point PC (pr2 PX) ,, hset_struct_point PC (pr2 PY)). Proof. exact (hset_struct_with_smash_point_smash (pr122 PC) (pr2 PX) (pr2 PY)). Qed.
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.