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 cop4_par_perp2__par : forall A B C D E F G H,
Par A B C D -> Perp A B E F -> Perp C D G H ->
Coplanar A B E G -> Coplanar A B E H ->
Coplanar A B F G -> Coplanar A B F H ->
Par E F G H.