Section pd1_diese_def.
Variables (c : C) (f : forall j : I, c --> FunDiscr j).
Definition Product_tau (j : Discr I) := f j.
Definition Product_nt := Build_Cone Product_tau_cone_law.
Definition Pd1_diese : c --> Pi1 := Lim_diese l Product_nt.
End pd1_diese_def.

Lemma Prf_pd1_law2 : Product_law2 Proj1 Pd1_diese.