Lemma nat_trans_fix_snd_arg_ax: is_nat_trans _ _ nat_trans_fix_snd_arg_data. Proof. red. intros c c' f. unfold nat_trans_fix_snd_arg_data, functor_fix_snd_arg; simpl. unfold functor_fix_snd_arg_mor; simpl. assert (nat_trans_ax_inst := nat_trans_ax α). apply nat_trans_ax_inst. 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.