
theorem Th35:
  for X being non empty TopSpace, M being non empty set holds
oContMaps(X, M-TOP_prod (M --> Sierpinski_Space)), M-POS_prod (M --> oContMaps(
  X, Sierpinski_Space)) are_isomorphic
proof
  let X be non empty TopSpace, M be non empty set;
  consider F being Function of oContMaps(X, M-TOP_prod (M --> Sierpinski_Space
  )), M-POS_prod (M --> oContMaps(X, Sierpinski_Space)) such that
A1: F is isomorphic and
  for f being continuous Function of X, M-TOP_prod (M --> Sierpinski_Space
  ) holds F.f = commute f by Th34;
  take F;
  thus thesis by A1;
end;
