proposition: Lemma actfromprecomp_odot_pointwise_ok (g : functor C D) (f: functor C C) : pr1 actfromprecomp (g,,f) = (binswap_pair_functor ∙ (functorial_composition _ _ _)) (g,,f).
proof: Proof. cbn. apply idpath. Qed.
imports: UniMath.Foundations.PartD UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalFunctorsTensored UniMath.Bicategories.MonoidalCategories.MonoidalFromBicategory UniMath.Bicategories.MonoidalCategories.Actions UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Examples.BicatOfCats