reserve A for set, x,y,z for object,
  k for Element of NAT;
reserve n for Nat,
  x for object;
reserve V, C for set;

theorem Th68:
  for n being Ordinal, i being Element of NAT, b,b1,b2 being bag
of n st i in dom decomp b & (decomp b)/.i = <*b1, b2*> holds b1 = (divisors b)
  /.i
proof
  let n be Ordinal, i be Element of NAT, b,b1,b2 be bag of n;
  reconsider p = (divisors b)/.i as bag of n;
  assume i in dom decomp b & (decomp b)/.i = <*b1, b2*>;
  then <*b1,b2*> = <*p,b-'p*> by Def16;
  hence thesis by FINSEQ_1:77;
end;
