a a' (m : morphism cat a' a) : Functor (a \ cat) (a' \ cat) := coslice_category_over_induced_functor cat a a' m.
Require Import Category.Core Functor.Core NaturalTransformation.Core. Require Import Category.Dual. Require Import Category.Prod. Require Import NaturalTransformation.Identity. Require Import FunctorCategory.Core Cat.Core. Require Import InitialTerminalCategory.Core InitialTerminalCategory.Functors. Import Comma.Core. Require Import HoTT.Tactics. Require Import Basics.Tactics.