fact: Definition lan_nat_trans_colimIn (x : C₂) (w : C₁) (h : P w --> x) (a : unit) : colimIn (lan_colim ColimsD P F x) ((w ,, a) ,, h) · lan_nat_trans_data x = τ w · colimIn (lan_colim ColimsD P G x) ((w ,, a) ,, h).
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