Definition transportf_struct_mor_via_eq {X₁ X₂ Y₁ Y₂ : hSet} (w₁ : X₁ ≃ Y₁) (PX₁ : P X₁) (w₂ : X₂ ≃ Y₂) (PX₂ : P X₂) (f : X₁ → X₂) (Hf : mor_hset_struct P PX₁ PX₂ f) (g : Y₁ → Y₂) (p : ∏ (y : Y₁), g y = transportf_mor_weq w₁ w₂ f y) : mor_hset_struct P (transportf_struct_weq w₁ PX₁) (transportf_struct_weq w₂ PX₂) g.
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.