Why EJB's constructor called twice in a @RequestScoped bean?

Question

I have an EJB bean injected in a Managed Bean. Its constructor is called twice. For example, I get:

com.logic.jsf.AdditionManagedBean created
com.logic.Addition$$$view45 created
com.logic.Addition created

I know @PostConstruct but I'm trying to understand why that happens. Is it because of proxy, and in that case shouldn't I see a proxy related literal in the printed name of the class?

@Stateless
@LocalBean 
public class Addition{  
        public Addition(){
            System.out.println(this.getClass().getName() +" created");
        }


        public String getAddition(){
            return "Addition";
        }
}

Injected in:

@ManagedBean
@RequestScoped
public class AdditionManagedBean {

    @EJB
    Addition addition;

    public AdditionManagedBean(){
        System.out.println(this.getClass().getName()+" created");
    }

    public String getAddition(){
        return addition.getAddition();
    }
}