fact: Definition functor_total_category_of_set_functor_on_comp_is_nat_trans {C₁ C₂ C₃ : setcategory} {F₁ : C₁ ⟶ C₂} {F₂ : C₂ ⟶ C₃} {G₁ : C₁ ⟶ cat_of_setcategory} {G₂ : C₂ ⟶ cat_of_setcategory} {G₃ : C₃ ⟶ cat_of_setcategory} (α : G₁ ⟹ F₁ ∙ G₂) (β : G₂ ⟹ F₂ ∙ G₃) : is_nat_trans _ _ (functor_total_category_of_set_functor_on_comp_data α β).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Categories.CategoryOfSetCategories UniMath.CategoryTheory.GrothendieckConstruction.TotalCategory