fact: Definition comma_category_induced_functor_object_of_compose s d d' (m : morphism ((A -> C)^op * (B -> C)) d d') (m' : morphism ((A -> C)^op * (B -> C)) s d) x : comma_category_induced_functor_object_of (m o m') x = comma_category_induced_functor_object_of m (comma_category_induced_functor_object_of m' x).
imports: Category.Core Functor.Core NaturalTransformation.Core Category.Dual Category.Prod NaturalTransformation.Identity FunctorCategory.Core Cat.Core InitialTerminalCategory.Core InitialTerminalCategory.Functors HoTT.Tactics Basics.Tactics