Definition pentagon_axiom_type {C : prebicategory_data} {a b c d e : C} (k : a -1-> b) (h : b -1-> c) (g : c -1-> d) (f : d -1-> e) : UU := associator_2mor k h (g ;1; f) ;v; associator_2mor (k ;1; h) g f = (identity k ;h; associator_2mor h g f) ;v; associator_2mor k (h ;1; g) f ;v; (associator_2mor k h g ;h; identity f).
Require Import UniMath.Foundations.PartD. 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.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Categories.StandardCategories. Require Import UniMath.CategoryTheory.HorizontalComposition. Require Import UniMath.CategoryTheory.Equivalences.Core.