fact: Definition lan_precomposition_triangle_2 (F : C₂ ⟶ D) : nat_trans_comp _ _ _ (lan_commute ColimsD P (P ∙ F)) (pre_whisker P (lan_precomposition_counit_data F)) = nat_trans_id (functor_composite_data P F).
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