Section funone_map_def.
Variable a b : C.
Definition FunOne_mor (f : a --> b) : FunOne_ob a --> FunOne_ob b :=
Id_Obone.
Canonical Structure FunOne_map := Build_Map FunOne_map_law.
End funone_map_def.

Lemma FunOne_comp_law : Fcomp_law FunOne_map.