fact: Definition compose_diagonal_functor_natural_transformation x (F : Functor D' D) : NaturalTransformation (diagonal_functor C D x o F) (diagonal_functor _ _ x) := Build_NaturalTransformation (diagonal_functor C D x o F) (diagonal_functor _ _ x) (fun z => identity _) (fun _ _ _ => transitivity (left_identity _ _ _ _) (symmetry _ _ (right_identity _ _ _ _))).
imports: Category.Core Functor.Core NaturalTransformation.Core Functor.Composition.Core ExponentialLaws.Law1.Functors FunctorCategory.Core KanExtensions.Core InitialTerminalCategory.Core NatCategory Functor.Paths