Definition transportf_mor_weq_prod {X₁ X₂ X₃ Y₁ Y₂ Y₃ : hSet} (w₁ : X₁ ≃ Y₁) (w₂ : X₂ ≃ Y₂) (w₃ : X₃ ≃ Y₃) (f : X₁ × X₂ → X₃) : Y₁ × Y₂ → Y₃ := λ y, w₃ (f (invmap w₁ (pr1 y) ,, invmap w₂ (pr2 y))).
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.