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_1 : forall A (X : cartesianPower Tpoint 3), app_1_n cop A X -> app_n_1 cop X A.