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)).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.Categories.StandardCategories. Require Import UniMath.CategoryTheory.CommaCategories. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.whiskering.