Definition Op_together1 := Build_Map2 Together1_l Together1_r.

(* Specifications: *)
Lemma Prf_eq1_prod1 : Eq1_prod_law Proj1_prod1 Op_together1.
Lemma Prf_eq2_prod1 : Eq2_prod_law Proj2_prod1 Op_together1.
Lemma Prf_unique_together1 : Unique_together_law Proj1_prod1 Proj2_prod1 Op_together1.