unfold PythRel in H0.
spliter.
unfold Ar2 in H0; spliter.
induction H1.
spliter.
left.
intro.
subst A.
induction H5.
subst C.
tauto.
subst B.
apply opp_midpoint in H5.
unfold Midpoint in H5.
spliter.
apply cong_symmetry in H5.
apply cong_identity in H5.
subst C.
tauto.
ex_and H1 B'.
right.
intro.
subst B.
apply perp_distinct in H1.
tauto.
Qed.

Lemma pythrelOO : forall O E E' C, PythRel O E E' O O C -> C = O.
intros.