XSL stylesheet keeps Firefox from recognising DTD-defined ids

I want a client-side XSL-transformed document with elements targettable (jumpable to) by #foo (URL fragments). Problem is, as soon as I attach the simplest XSL stylesheet, Firefox stops scrolling to the elements. Here's simple code:

test.xml:

<?xml version='1.0' encoding='UTF-8'?>
<?xml-stylesheet type='text/xsl' href='test.xsl'?>
<!DOCTYPE foo [<!ATTLIST bar id ID #REQUIRED>]>
<foo xmlns:html='http://ift.tt/lH0Osb' xml:lang='en-GB'>
<html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/><html:br/>
<bar id='baz'>Baf.</bar>
</foo>

test.xsl:

<xsl:stylesheet version='1.0' xmlns:html='http://ift.tt/lH0Osb' xmlns:xsl='http://ift.tt/tCZ8VR'>
<xsl:template match='/'>
<xsl:copy-of select='.'/>
</xsl:template>
</xsl:stylesheet>

As soon as I uncomment the stylesheet line, /test.xml#baz does nothing. As though the transformation somehow loses some data about elements' identification.

Any ideas? Thanks.