Canonical Structure SET_diese := Build_Map0'' SET_diese_map_law.

(* Specifications: *)
Lemma SET_coUAlaw1 : forall (X : SET) (tau : Cone X F) (i : J) (x : X), tau i x =_S SET_lcone_tau i (SET_diese tau x).
Lemma SET_coUAlaw2 : forall (X : SET) (tau : Cone X F) (g : Map0'' X SET_lim), (forall (i : J) (x : X), tau i x =_S SET_lcone_tau i (g x)) -> forall x : X, g x =_S'' SET_diese tau x.