
theorem Th43:
  for A being non empty Preorder, x being Element of A holds
    Class(EqRelOf A, x) in the carrier of QuotientOrder(A)
proof
  let A be non empty Preorder;
  let x be Element of A;
  Class(EqRelOf A, x) in Class EqRelOf A by EQREL_1:def 3;
  hence thesis by Def7;
end;
