How to make a form submit when its rendered based on a value in a request scoped bean

Question

Hello everyone! I discovered a problem in my little program, and Im wondering if anyone have any tips or advice on how to solve this problem as best as possible.

I have the bean testBean which is in request scope. It contains the following:

public class testBean {

private boolean internal = false; 
private String input = "";

public String internalTrue() {
    System.out.println("Set internal true");
    setInternal(true);
    return null;
}
public String submitForm() {
    System.out.println("");
    return null;
}
public boolean isInternal() {
    return internal;
}
public void setInternal(boolean internal) {
    this.internal = internal;
}
public String getInput() {
    return input;
}
public void setInput(String input) {
    this.input = input;
}

}

My file welcomeJSF.jsp contains this:

    <f:view>
        <h:form>
            <h:commandButton value="Set internal true" action="#{testBean.internalTrue}" />
        </h:form>
        <h:panelGrid columns="1" rendered="#{testBean.internal}">
            <h:form>
                <h:outputText value="JavaServer Faces" /><h:inputText value="#{testBean.input}" />
                <h:commandButton value="Go" action="#{testBean.submitForm}" />
            </h:form>
        </h:panelGrid>
    </f:view>

When I run the application Im presented with the button "Set internal true". I click it and Im presented with the form where I have the button "Go". Clicking "Go" does not trigger the method in my bean, most likely because of the field actually not being rendered on the server anymore, and thus it wont run the method. Is there any smart solutions to this?

In advance, thanks for your time.