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(* 02110-1301 USA                                                     *)
(*****************************************************************************)
(*          Projet Coq - Calculus of Inductive Constructions V5.10           *)
(*****************************************************************************)
(*                                                                           *)
(*          The Functor Category                                             *)
(*                                                                           *)
(*          Amokrane Saibi,  May 1994                                        *)
(*                                                                           *)
(*****************************************************************************)
Require Export Ntransformation.
Require Export Category_dup2.
Set Implicit Arguments.
Unset Strict Implicit.
(* Functor Category *)
Section cat_functor.
Variable C D : Category.
Section compnt.
Variables (F G H : Functor C D) (T : NT F G) (T' : NT G H).
Definition Comp_tau (a : C) := T a o T' a.

(* Specifications: *)
Lemma Comp_tau_nt_law : NT_law Comp_tau.
Canonical Structure CompV_NT : NT_setoid F H := Comp_tau_nt_law.