
theorem
  for Y being T_0-TopSpace holds (for X being non empty TopSpace for L
being Scott continuous complete TopLattice for T being Scott TopAugmentation of
ContMaps(Y, L) ex f being Function of ContMaps(X, T), ContMaps([:X, Y:], L), g
  being Function of ContMaps([:X, Y:], L), ContMaps(X, T) st f is uncurrying
  one-to-one onto & g is currying one-to-one onto) iff for X being non empty
  TopSpace for L being Scott continuous complete TopLattice for T being Scott
  TopAugmentation of ContMaps(Y, L) ex f being Function of ContMaps(X, T),
ContMaps([:X, Y:], L), g being Function of ContMaps([:X, Y:], L), ContMaps(X, T
  ) st f is uncurrying isomorphic & g is currying isomorphic by Lm1;
