Definition nat_trans_from_functor_fix_snd_morphism_arg: functor_fix_snd_arg C D E F d ⟹ functor_fix_snd_arg C D E F d'. Proof. use tpair. - intro c. apply nat_trans_from_functor_fix_snd_morphism_arg_data. - cbn. exact nat_trans_from_functor_fix_snd_morphism_arg_ax. 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.