rec-forall4

forall/exists/and/plus

<math xmlns="http://www.w3.org/1998/Math/MathML">
  <bind>
    <csymbol cd="quant1">forall</csymbol>
    <bvar>
      <ci>n</ci>
    </bvar>
    <apply>
      <csymbol cd="logic1">implies</csymbol>
      <apply>
        <csymbol cd="set1">in</csymbol>
        <ci>n</ci>
        <apply>
          <csymbol cd="set1">suchthat</csymbol>
          <ci>R</ci>
          <bind>
            <csymbol cd="fns1">lambda</csymbol>
            <bvar>
              <ci>n</ci>
            </bvar>
            <apply>
              <csymbol cd="logic1">and</csymbol>
              <apply>
                <csymbol cd="relation1">gt</csymbol>
                <ci>n</ci>
                <cn>0</cn>
              </apply>
              <apply>
                <csymbol cd="set1">in</csymbol>
                <ci>n</ci>
                <csymbol cd="setname1">Z</csymbol>
              </apply>
            </apply>
          </bind>
        </apply>
      </apply>
      <bind>
        <csymbol cd="quant1">exists</csymbol>
        <bvar>
          <ci>x</ci>
        </bvar>
        <bvar>
          <ci>y</ci>
        </bvar>
        <bvar>
          <ci>z</ci>
        </bvar>
        <apply>
          <csymbol cd="logic1">and</csymbol>
          <apply>
            <csymbol cd="set1">in</csymbol>
            <ci>x</ci>
            <ci>y</ci>
            <ci>z</ci>
            <apply>
              <csymbol cd="set1">suchthat</csymbol>
              <ci>R</ci>
              <bind>
                <csymbol cd="fns1">lambda</csymbol>
                <bvar>
                  <ci>x</ci>
                </bvar>
                <bvar>
                  <ci>y</ci>
                </bvar>
                <bvar>
                  <ci>z</ci>
                </bvar>
                <apply>
                  <csymbol cd="logic1">and</csymbol>
                  <apply>
                    <csymbol cd="set1">in</csymbol>
                    <ci>x</ci>
                    <csymbol cd="setname1">Z</csymbol>
                  </apply>
                  <apply>
                    <csymbol cd="set1">in</csymbol>
                    <ci>y</ci>
                    <csymbol cd="setname1">Z</csymbol>
                  </apply>
                  <apply>
                    <csymbol cd="set1">in</csymbol>
                    <ci>z</ci>
                    <csymbol cd="setname1">Z</csymbol>
                  </apply>
                </apply>
              </bind>
            </apply>
          </apply>
          <apply>
            <csymbol cd="relation1">eq</csymbol>
            <apply>
              <csymbol cd="arith1">plus</csymbol>
              <apply>
                <csymbol cd="arith1">power</csymbol>
                <ci>x</ci>
                <ci>n</ci>
              </apply>
              <apply>
                <csymbol cd="arith1">power</csymbol>
                <ci>y</ci>
                <ci>n</ci>
              </apply>
            </apply>
            <apply>
              <csymbol cd="arith1">power</csymbol>
              <ci>z</ci>
              <ci>n</ci>
            </apply>
          </apply>
        </apply>
      </bind>
    </apply>
  </bind>
</math>

Author: MathML 2 Recomendation