Lemma l13_10_aux1 : forall O A B P Q la lb lp lq, Col O A B -> Col O P Q -> Perp O P P A -> Perp O Q Q B -> Q_Cong la -> Q_Cong lb -> Q_Cong lp -> Q_Cong lq -> la O A -> lb O B -> lp O P -> lq O Q -> exists a, Q_CongA_Acute a /\ Lcos lp la a /\ Lcos lq lb a.