End set_op_together_def.

(* Specifications: *)
Lemma Eq1_Sprod : Eq1_prod_law (Proj1_SPROD A B) S_op_together.
Lemma Eq2_Sprod : Eq2_prod_law (Proj2_SPROD A B) S_op_together.
Lemma Unique_S_together :
Unique_together_law (Proj1_SPROD A B) (Proj2_SPROD A B) S_op_together.