Global Instance H2D_to_T2D : Tarski_2D H_to_T_PED.

Lemma tarski_upper_dim : forall A B C P Q R, P <> Q -> Q <> R -> P <> R -> Cong A P A Q -> Cong B P B Q -> Cong C P C Q -> Cong A P A R -> Cong B P B R -> Cong C P C R -> (Bet A B C \/ Bet B C A \/ Bet C A B).