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(* 02110-1301 USA                                                     *)
(*****************************************************************************)
(*          Projet Coq - Calculus of Inductive Constructions V5.10           *)
(*****************************************************************************)
(*                                                                           *)
(*          Category Product : Projection Functors                           *)
(*                                                                           *)
(*          Amokrane Saibi,  May 1994                                        *)
(*                                                                           *)
(*****************************************************************************)
Require Export PROD.
Require Export Functor.
Set Implicit Arguments.
Unset Strict Implicit.
(* Projection Functors *)
Section prod_proj.
Variable A B : Category.
(* Fst *)

(* Specifications: *)
Lemma Fst_map_law : forall a b : PROD A B, Map_law (Hom_l (u:=a) (t:=b)).
Canonical Structure Fst_map (a b : PROD A B) :=
Build_Map (Fst_map_law (a:=a) (b:=b)).
Lemma Fst_comp_law : Fcomp_law Fst_map.
Lemma Fst_id_law : Fid_law Fst_map.
Canonical Structure Fst := Build_Functor Fst_comp_law Fst_id_law.