
theorem Th08:
  for P,Q being Point of BK-model-Plane st Tn2TR BK_to_T2 P = Tn2TR BK_to_T2 Q
  holds P = Q
  proof
    let P,Q be Point of BK-model-Plane;
    assume
A1: Tn2TR BK_to_T2 P = Tn2TR BK_to_T2 Q;
    reconsider p = P,q = Q as Element of BK_model;
    Tn2TR BK_to_T2 P = BK_to_REAL2 p &
    Tn2TR BK_to_T2 Q = BK_to_REAL2 q by Th04;
    hence thesis by A1,BKMODEL2:4;
  end;
