
theorem
  BK-model-Plane is satisfying_BetweennessIdentity
  proof
    let P,Q be POINT of BK-model-Plane;
    assume
A1: between P,Q,P;
    reconsider P2 = BK_to_T2 P, Q2 = BK_to_T2 Q as POINT of TarskiEuclid2Space;
    between P2,Q2,P2 by A1,Th05;
    hence thesis by GTARSKI1:def 10,Th65;
  end;
