fact: Definition standard_limit_homot : UU := ∑ h : pr1 x ~ pr1 y, ∏ (u v : vertex g) (ed : edge u v), (maponpaths (dmor d ed) (h u) @ (pr2 y _ _) ed = pr2 x _ _ ed @ (h v)).
imports: UniMath.Foundations.PartD UniMath.Foundations.Sets UniMath.MoreFoundations.Univalence UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Categories.Type.Core UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Chains.Cochains