reserve CPS for proper CollSp,
  B for Subset of CPS,
  p for Point of CPS,
  x, y, z, Y for set;

theorem
  the Points of IncProjSp_of(CPS) = the carrier of CPS & the Lines of
  IncProjSp_of(CPS) = ProjectiveLines(CPS) & the Inc of IncProjSp_of(CPS) =
  Proj_Inc(CPS);
