fact: Definition lan_precomposition_counit_natural_trans {F G : C₂ ⟶ D} (τ : F ⟹ G) : nat_trans_comp _ _ _ (lan_nat_trans ColimsD P (pre_whisker P τ : P ∙ F ⟹ P ∙ G)) (lan_precomposition_counit_data G) = nat_trans_comp _ _ _ (lan_precomposition_counit_data F) τ.
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