Definition precategory_binproduct_unassoc (C0 C1 C2 : category) : ((C0 × C1) × C2) ⟶ (C0 × (C1 × C2)). Proof. exists (precategory_binproduct_unassoc_data _ _ _). abstract ( split; [ intros c; apply idpath | intros c0 c1 c2 f g; apply idpath] ). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.opp_precat.