
theorem Th65:
  for P,Q being POINT of BK-model-Plane st BK_to_T2 P = BK_to_T2 Q holds P = Q
  proof
    let P,Q be POINT of BK-model-Plane;
    assume
A1: BK_to_T2 P = BK_to_T2 Q;
    (ex q be Element of BK_model st Q = q &
      BK_to_T2 Q = BK_to_REAL2 q) &
      (ex p be Element of BK_model st P = p &
      BK_to_T2 P = BK_to_REAL2 p) by Def01;
    hence thesis by A1,BKMODEL2:4;
  end;
