proposition: 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: Proof. exact (hset_struct_with_smash_point_smash (pr122 PC) (pr2 PX) (pr2 PY)). Qed.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Structures.CartesianStructure UniMath.CategoryTheory.DisplayedCats.Structures.StructureLimitsAndColimits