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;

theorem Th26:
  the carrier of MultiSet_over X = Funcs(X,NAT) & the multF of
  MultiSet_over X = (addnat,NAT).:X & 1.MultiSet_over X = X --> 0
proof
  the multMagma of <NAT,+,0> = <NAT,+> & the_unity_wrt op(<NAT,+>) = 0 by
MONOID_0:40,def 22;
  hence thesis by Th17,Th22,MONOID_0:46;
end;
