reserve i,j for Nat;
reserve A,B for Ring;
reserve K, L for Field;

theorem Lm62:
  for x be Element of F_Complex,a be Element of FQ_Ring(x)
  ex g be Element of Polynom-Ring F_Rat st a = hom_Ext_eval(x,F_Rat).g
  proof
    let x be Element of F_Complex;
    let a be Element of FQ_Ring(x);
    ex g1 be object st g1 in dom hom_Ext_eval(x,F_Rat) &
    a = hom_Ext_eval(x,F_Rat).g1 by FUNCT_1:def 3;
    hence thesis;
  end;
