Luther as a flawed Anti-Hero

Luther is a flawed Anti-Hero because we love him as a character because he is a badass and doesn't follow the rules like a rebel, but as a cop he is imperfect which makes him an anti-hero. The following things that have occurred are the pieces that make Luther an anti hero:
He left a criminal to die instead of helping him, this is against the law and Luther’s job is in jeopardy because of this as at any moment the criminal could wake up from his coma and he could lose his job