Definition col : arity Tpoint 3 := Col.

(* Specifications: *)
Lemma col_perm_1 : forall A (X : cartesianPower Tpoint 2), app_1_n col A X -> app_n_1 col X A.
Lemma col_perm_2 : forall A B (X : cartesianPower Tpoint 1), app_2_n col A B X -> app_2_n col B A X.
Lemma col_bd : forall A (X : cartesianPower Tpoint 1), app_2_n col A A X.
Lemma col_3 : forall (COL : cartesianPower Tpoint 3) (DIFF : cartesianPower Tpoint 2), pred_conj col COL DIFF -> app diff DIFF -> app col COL.