Require Export GeoCoq.Tarski_dev.Ch06_out_lines.
(* In this file we prove that Col in Tarski neutral dimensionless is a Coinc_theory *)
Section Tarski_is_a_Coinc_theory_for_col.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.
Definition diff : arity Tpoint 2 := fun A B : Tpoint => A <> B.

Lemma col_3 : forall (COL : cartesianPower Tpoint 3) (DIFF : cartesianPower Tpoint 2),
pred_conj col COL DIFF -> app diff DIFF -> app col COL.