<math>
<apply>
<forall/>
<bvar><ci> n </ci></bvar>
<condition>
<apply><and/>
<apply><gt/><ci> n </ci><cn> 0 </cn></apply>
<apply><in/><ci> n </ci><integers/></apply>
</apply>
</condition>
<apply>
<exists/>
<bvar><ci> x </ci></bvar>
<bvar><ci> y </ci></bvar>
<bvar><ci> z </ci></bvar>
<condition>
<apply><and/>
<apply><in/><ci> x </ci><integers/></apply>
<apply><in/><ci> y </ci><integers/></apply>
<apply><in/><ci> z </ci><integers/></apply>
</apply>
</condition>
<apply>
<eq/>
<apply>
<plus/>
<apply><power/><ci> x </ci><ci> n </ci></apply>
<apply><power/><ci> y </ci><ci> n </ci></apply>
</apply>
<apply><power/><ci> z </ci><ci> n </ci></apply>
</apply>
</apply>
</apply>
</math>