Definition nat_trans_ax {C C' : precategory_data} {F F' : functor_data C C'} (a : nat_trans F F') : ∏ (x x' : ob C)(f : x --> x'), #F f · a x' = a x · #F' f := pr2 a.
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.TransportMorphisms. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Univalence.