proposition: Lemma suppa2__conga456 : forall A B C D E F D' E' F', SuppA A B C D E F -> SuppA A B C D' E' F' -> CongA D E F D' E' F'.
proof: Proof. unfold SuppA. intros; spliter. ex_and H2 A'. ex_and H1 A''. apply conga_trans with C B A'; trivial. apply conga_trans with C B A''; [|apply conga_sym, H4]. apply conga_distinct in H3. apply conga_distinct in H4. spliter. apply out2__conga. apply out_trivial; auto. apply l6_2 with A; Between. Qed.
imports: GeoCoq.Tarski_dev.Ch10_line_reflexivity_2