Definition yon_binprod_nat_trans : (yon (BinProductObject _ (PC X Y)) : _ ⟶ _) ⟹ (BinProductObject _ (BinProducts_PreShv (yon X) (yon Y)) : _ ⟶ _) := BinProductArrow _ _ (# yon (BinProductPr1 _ _)) (# yon (BinProductPr2 _ _)).
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Limits.BinProducts. Require Import UniMath.CategoryTheory.Limits.Preservation. Require Import UniMath.CategoryTheory.Presheaf. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.Categories.HSET.Core. Require Import UniMath.CategoryTheory.yoneda.