
theorem
  for M being non empty set, i being Element of M, T being non empty
  TopSpace, x being Point of product (M --> T) holds pi(Cl {x}, i) = Cl {x.i}
proof
  let M be non empty set, i be Element of M, T be non empty TopSpace, x be
  Point of product (M --> T);
  (M --> T).i = T;
  hence thesis by Th31;
end;
