proposition: Lemma bet_suppa__out : forall A B C D E F, Bet A B C -> SuppA A B C D E F -> Out E D F.
proof: Proof. intros. assert (Hd := H0). apply suppa_distincts in Hd; spliter. apply (l11_21_a C B C). apply out_trivial; auto. apply (suppa2__conga456 A B C); trivial. split; auto. exists C. split; trivial. apply conga_refl; auto. Qed.
imports: GeoCoq.Tarski_dev.Ch10_line_reflexivity_2