 reserve x,y,X,Y for set;
reserve G for non empty multMagma,
  D for set,
  a,b,c,r,l for Element of G;
reserve M for non empty multLoopStr;
reserve H for non empty SubStr of G,
  N for non empty MonoidalSubStr of G;

theorem
  <NAT,*,1> = multLoopStr(#NAT,multnat,1#)
proof
  set N = <NAT,*,1>;
  the multMagma of N = <NAT,*> & the_unity_wrt op(N) = un(N) by Def22,Th17;
  hence thesis by Def31,Th54;
end;
