
theorem AM3:
  for a,b,c,x,y,z be Complex holds
    <*a,b,c*>(#)<*x,y,z*> = <*a*x,b*y,c*z*>
  proof
    let a,b,c,x,y,z be Complex;
    <*a,b,c*>(#)<*x,y,z*> = (<*a,b*>(#)<*x,y*>)^<*(c*z)*> by FMA
    .= <*(a*x),(b*y)*>^<*(c*z)*> by AM2;
    hence thesis;
  end;
