Definition transportf_struct_mor_via_transportf {X₁ X₂ Y₁ Y₂ : hSet} (p₁ : X₁ = Y₁) (PX₁ : P X₁) (p₂ : X₂ = Y₂) (PX₂ : P X₂) (f : X₁ → X₂) (Hf : mor_hset_struct P PX₁ PX₂ f) : mor_hset_struct P (transportf P p₁ PX₁) (transportf P p₂ PX₂) (transportf_mor_weq (hSet_univalence_map _ _ p₁) (hSet_univalence_map _ _ p₂) f).
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Categories.HSET.All. Require Import UniMath.CategoryTheory.Limits.BinProducts. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.DisplayedCats.Univalence. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions. Require Import UniMath.CategoryTheory.DisplayedCats.SIP. Require Import UniMath.CategoryTheory.DisplayedCats.Binproducts.