
theorem LM88:
  for A be non empty set,
      x be Element of R_Normed_Algebra_of_BoundedFunctions(A)
  holds x is Function of A,REAL
proof
  let A be non empty set,
      x be Element of R_Normed_Algebra_of_BoundedFunctions(A);
  x is Element of BoundedFunctions(A); then
  x is Element of Funcs(A,REAL);
  hence thesis;
end;
