Lemma functorBinaryProduct_eqn {B C:category} (prod : BinaryProducts C) (F G : [B,C]) (b:B) : universalObject (functorBinaryProduct prod F G) ◾ b = universalObject (prod (F ◾ b) (G ◾ b)). Proof. reflexivity. 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.