Proposition hset_struct_with_smash_map_from_unit {P : hset_cartesian_struct} {Pt : pointed_hset_struct P} (SP : hset_struct_with_smash P Pt) {Y : hSet} (PY : P Y) (y : Y) : mor_hset_struct P (hset_struct_with_smash_unit SP) PY (pointed_hset_struct_map_from_unit Pt PY y). Proof. exact (pr1 (pr222 SP) Y PY y). 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.