Section Tarski_is_a_Coinc_theory_for_cop.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.
Definition not_col : arity Tpoint 3 := fun A B C : Tpoint => ~ Col A B C.
Definition cop : arity Tpoint 4 := Coplanar.

Lemma cop_perm_2 : forall A B (X : cartesianPower Tpoint 2), app_2_n cop A B X -> app_2_n cop B A X.