Section phicone_1_fun_def.
Variable f : c --> Lim l.
Definition PhiCone_1_fun_tau (i : J) := f o Limiting_cone l i.
Canonical Structure PhiCone_1_fun : Cones c F := PhiCone_1_fun_cone_law.
End phicone_1_fun_def.

Lemma PhiCone_1_map_law : Map_law0'' PhiCone_1_fun.