Definition triangle_axiom_type {C : prebicategory_data} {a b c : C} (f : a -1-> b) (g : b -1-> c) : UU := identity f ;h; left_unitor_2mor g = associator_2mor f (identity1 b) g ;v; (right_unitor_2mor f ;h; identity g).
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.