Example ex4-120

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n n 0 n x y z x y z x n y n z n

<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>