reserve X for RealNormSpace;

theorem
  for X be Hausdorff non empty TopSpace st X is locally-compact holds X
  is Baire
proof
  let X be Hausdorff non empty TopSpace;
  assume X is locally-compact;
  then X is sober locally-compact by YELLOW_8:22;
  hence thesis by WAYBEL12:44;
end;
