reserve R for non empty RelStr,
  N for net of R,
  i for Element of N;

theorem :: 1.8 Theorem, p.104
  for T being complete Scott TopLattice holds
  T is continuous iff Convergence T = Scott-Convergence T
proof
  let T be complete Scott TopLattice;
  hereby
    assume T is continuous;
    then reconsider L = T as continuous complete Scott TopLattice;
    the TopStruct of T = ConvergenceSpace Scott-Convergence T by Th32;
    hence
    Convergence T = Convergence ConvergenceSpace Scott-Convergence L by Lm8
      .= Scott-Convergence T by YELLOW_6:44;
  end;
  thus thesis by Th39;
end;
