
theorem AM2:
  for a,b,x,y be Complex holds <*a,b*>(#)<*x,y*> = <*a*x,b*y*>
  proof
    let a,b,x,y be Complex;
    <*a,b*>(#)<*x,y*>  = (<*a*>(#)<*x*>)^<*(b*y)*> by FMA;
    hence thesis by AMB;
  end;
