Wix: Check checkbox when another checkbox is checked

Here is my WIX

<Control Id="FeatureOneBox" Type="CheckBox" Property="FEATUREONE" Text="Feature One" X="30" Y="87" Height="10" Width="200" CheckBoxValue="1" />
<Control Id="FeatureTwoBox" Type="CheckBox" Property="FEATURETWO" Text="Feature Two" X="30" Y="107" Height="10" Width="200" CheckBoxValue="1" />
<Control Id="FeatureThreeBox" Type="CheckBox" Property="FEATURETHREE" Text="Feature Three" X="30" Y="107" Height="10" Width="200" CheckBoxValue="1" />
<Control Id="CoreFeatureBox" Type="CheckBox" Property="INSTALLCORE" Text="!(loc.CoreFeatureBox)" X="30" Y="147" Height="10" Width="300" CheckBoxValue="1">
    <Condition Action="enable"><![CDATA[FEATURETWO <> 1 AND FEATURETHREE <> 1]]></Condition>
    <Condition Action="disable">FEATURETWO = 1 OR FEATURETHREE = 1</Condition>
</Control>

I want to require the Core feature if either feature two or three is selected. I can do this by altering the feature condition but, it the user unchecks both of those, unchecks Core, then rechecks one of those, I don't want to install the Core feature even though its checkbox is unchecked.

How can I check CoreFeatureBox at the same time I disable it?