Rendering other form by ajax causes its view state to be lost, how do I add this back?

I have

<h:form>
    <h:commandLink action="#{my_fake_ajax_link}">
        <h:outputText value="Link" />
        <f:ajax render=":mydiv" />
    </h:commandLink>
</h:form>

<h:panelGroup layout="block" id="mydiv">
    <h:form>
        <h:commandLink action="#{mybean.delete(0)}">
            <h:outputText value="Here" />
            <f:ajax render="@form" />
        </h:commandLink>
    </h:form>
</h:panelGroup>

When I click once on "my_fake_ajax_link", then I have to click twice on "delete" link. This is only an example. I don't have this real case. I have multiple forms on a page and I can't just add all of them in a single form.

I checked what the problem is and it is:

• When you click on "my_fake_ajax_link", the mydiv refreshs with ajax as it should.
• ViewState of the refreshed form on ajax is missing.

How can I add the ViewState? How can I make it work without using only one form? This looks like an JSF bug to me. I don't want to refresh that div automatically with

jQuery("#mydiv").load(document.location.href);

but I will in my worst case possible.