Definition binaryProductMap_2 {C:category} {a b a' b':C} (prod : BinaryProduct a b) (prod' : BinaryProduct a' b') (f : a --> a') (g : b --> b') : rm_opp_ob (universalObject prod) --> rm_opp_ob (universalObject prod'). Proof. unshelve refine (binaryProductMap _ _ _). { exact (f ∘ pr_1 prod). } { exact (g ∘ pr_2 prod). } Defined.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import Require Import Require Import UniMath.MoreFoundations.Tactics.