
theorem
  for M being non empty set, T being injective T_0-TopSpace holds Omega
  (M-TOP_prod (M => T)) = Sigma (M-POS_prod (M => Omega T))
proof
  let M be non empty set, T be injective T_0-TopSpace;
  set L = Omega T;
  the RelStr of Omega (M-TOP_prod (M => T)) = M-POS_prod (M => L) by
WAYBEL25:14;
  then Sigma Omega (M-TOP_prod (M => T)) = Sigma (M-POS_prod (M => L)) by Th16;
  hence thesis by Th15;
end;
