Require Export GeoCoq.Meta_theory.Parallel_postulates.parallel_postulates.
Require Export GeoCoq.Meta_theory.Parallel_postulates.par_trans_NID.
Section T13.
Context `{TE:Tarski_euclidean}.

Lemma cop2_npar__inter : forall A B A' B' X Y,
Coplanar A B X Y -> Coplanar A' B' X Y -> ~ Par A B A' B' ->
(exists P, Col P X Y /\ (Col P A B \/ Col P A' B')).