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(*                                                                    *)
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(* 02110-1301 USA                                                     *)
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(*          Projet Formel - Calculus of Inductive Constructions V5.10        *)
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(*									     *)
(*	                   Monoids Category                		     *)
(*									     *)
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(*									     *)
(*                     A. SAIBI	  May 95                  		     *)
(*									     *)
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Require Export SET.
Require Export Monoid.
Set Implicit Arguments.
Unset Strict Implicit.
(* Monoid Morphism composition *)
Section comp_mon.
Variables (m1 m2 m3 : Monoid) (f : MonMor m1 m2) (g : MonMor m2 m3).
Definition Comp_MonMor_map := f o_M g.

(* Specifications: *)
Lemma Comp_MonMor_unit_law : MonUnit_law Comp_MonMor_map.
Lemma Comp_MonMor_op_law : MonOp_law Comp_MonMor_map.
Canonical Structure Comp_MonMor : MonMor_setoid m1 m3 :=
Build_MonMor Comp_MonMor_unit_law Comp_MonMor_op_law.