Section id_mon_def.
Variable m : Monoid.
Definition Id_MON_map := Id_SET m.
Canonical Structure Id_MON : MonMor_setoid m m :=
Build_MonMor Id_MON_unit_law Id_MON_op_law.
End id_mon_def.

Lemma Idr_MON : Idr_law Comp_MON Id_MON.