Section set_lcone_tau_def.
Variable i : J.
Definition SET_lcone_tau_fun (sigma : SET_lim) := sigma i Elt.
Canonical Structure SET_lcone_tau := Build_Map''0 SET_lcone_tau_map_law.
End set_lcone_tau_def.

Lemma SET_lcone_cone_law :
forall (i j : J) (g : i --> j) (tau : SET_lim),
SET_lcone_tau j tau =_S FMor F g (SET_lcone_tau i tau).