Getting the first preceding node

Hi List!

I need a little help in a XPath expression.

This is a test xml

<?xml version="1.0" encoding="UTF-8"?>
<element type="cat">CAT 1</element>
<element>PROD 1</element>
<element>PROD 2</element>
<element>PROD 3</element>
<element>PROD 4</element>

<element type="cat">CAT 2</element>
<element>PROD 5</element>
<element>PROD 6</element>
<element>PROD 7</element>
<element>PROD 8</element>

How can I get the first preceding element which has an attribute by
name type, and value is cat?

For example:

In PROD 1 is the result CAT 1
In PROD 5 is the result CAT 2


Sorry for my bad language, and thanks for the help.

Lac