fact: Definition lan_colim (x : C₂) : ColimCocone (diagram_from_functor (lan_comma x) D (lan_pr x)) := ColimsD _ (diagram_from_functor _ _ (lan_pr x)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Categories.StandardCategories UniMath.CategoryTheory.CommaCategories UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering