fact: Definition hom_natural_precomp {C D : precategory} {F : functor C D} {G : functor D C} (H : natural_hom_weq F G) : ∏ (A : C) (B : D) (f : F A --> B) (X : C) (h : X --> A), hom_weq H (#F h · f) = h · hom_weq H f := pr1 (pr2 H).
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.Epis UniMath.CategoryTheory.Epis UniMath.CategoryTheory.SplitMonicsAndEpis UniMath.CategoryTheory.Monics UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering