Section together1_def.
Variable c : C.
Definition Together1 (f : c --> a) (g : c --> b) :=
CoUA_diese ua' (Build_Pmor (u:=Build_POb c c) (t:=Build_POb a b) f g).
Definition Op_together1 := Build_Map2 Together1_l Together1_r.
End together1_def.

Lemma Prf_unique_together1 :
Unique_together_law Proj1_prod1 Proj2_prod1 Op_together1.