fact: Definition lan_nat_trans_data : nat_trans_data (lan ColimsD P F) (lan ColimsD P G) := λ x, colim_mor (lan_colim ColimsD P F x) _ (λ v, lan_nat_trans_data_cocone_ob x (pr11 v) (pr2 v)) (λ _ _ e, lan_nat_trans_data_cocone_forms_cocone (pr2 e)).
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