Section phi_ua_tau_def.
Variable dxc : POb (Dual D) C.
Definition PhiUA_arrow (f : UA_ob (UA_of (OB_l dxc)) --> Ob_r dxc) :=
UA_mor (UA_of (OB_l dxc)) o FMor G f.

Lemma PhiUA_arrow_map_law : Map_law PhiUA_arrow.