reserve x,y,z, X,Y,Z for set,
  n for Element of NAT;
reserve A for set,
  D for non empty set,
  a,b,c,l,r for Element of D,
  o,o9 for BinOp of D,
  f,g,h for Function of A,D;
reserve G for non empty multMagma;
reserve A for non empty set,
  a for Element of A,
  p for FinSequence of A,
  m1,m2 for Multiset of A;

theorem Th32:
  (for a holds m1.a = m2.a) implies m1 = m2
proof
  assume for a holds m1.a = m2.a;
  then for x being object st x in A holds m1.x = m2.x;
  hence thesis by Th20;
end;
