
theorem Th5:
  for p, q being Point of I[01] holds p * q is Point of I[01]
proof
  let p, q be Point of I[01];
A1: 0 <= p by BORSUK_1:43;
  p <= 1 & q <= 1 by BORSUK_1:43;
  then 0 <= q & p * q <= 1 by A1,BORSUK_1:43,XREAL_1:160;
  hence thesis by A1,BORSUK_1:43;
end;
