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 l12_19 :
forall A B C D ,
~Col A B C -> Par A B C D -> Par B C D A ->
Cong A B C D /\ Cong B C D A /\ TS B D A C /\ TS A C B D.