fact: Definition prebicategory_coherence (C : prebicategory_data) : UU := (∏ (a b c d e : C) (k : a -1-> b) (h : b -1-> c) (g : c -1-> d) (f : d -1-> e), pentagon_axiom_type k h g f) × (∏ (a b c : C) (f : a -1-> b) (g : b -1-> c), triangle_axiom_type f g).
imports: UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Categories.StandardCategories UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.Equivalences.Core