fact: Definition pseudofunctor_of_functor_to_cat `(F : @FunctorToCat H C P HP) := @pseudofunctor_of_functor _ C P HP F.
imports: Category.Core Functor.Core NaturalTransformation.Core Functor.Composition.Core NaturalTransformation.Composition.Core NaturalTransformation.Composition.Laws Functor.Identity Pseudofunctor.Core Cat.Core FunctorCategory.Core FunctorCategory.Morphisms NaturalTransformation.Isomorphisms Category.Morphisms NaturalTransformation.Paths Basics.PathGroupoids Basics.Trunc