
theorem
  for n be non zero Element of NAT, i be Element of NAT holds
    Proj(i,n) is homogeneous
proof
  let n be non zero Element of NAT, i be Element of NAT;
  thus for x be Point of REAL-NS n, r be Real
    holds Proj(i,n).(r*x) = r*(Proj(i,n).x) by PDIFF_6:27;
end;
