Lemma is_functor_bindelta_pair_functor_data (C D E : category) (F : C ⟶ D) (G : C ⟶ E) : is_functor (bindelta_pair_functor_data _ _ _ F G). Proof. split. - intro c. simpl. rewrite functor_id. rewrite functor_id. apply idpath. - intros c c' c'' f g. simpl. rewrite functor_comp. rewrite functor_comp. apply idpath. Qed.
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.