logic6

not (forall s in S where f(s) is in T) = (there exists s in S such that f(s) is not in T)

W3C sample WIRIS
s s S f x T s s S f s T
<math xmlns="http://www.w3.org/1998/Math/MathML">
  <apply>
    <eq/>
    <apply>
      <not/>
      <apply>
        <forall/>
        <bvar>
          <ci>s</ci>
        </bvar>
        <condition>
          <apply>
            <in/>
            <ci>s</ci>
            <ci>S</ci>
          </apply>
        </condition>
        <apply>
          <in/>
          <apply>
            <fn>
              <ci>f</ci>
            </fn>
            <ci>x</ci>
          </apply>
          <ci>T</ci>
        </apply>
      </apply>
    </apply>
    <apply>
      <exists/>
      <bvar>
        <ci>s</ci>
      </bvar>
      <condition>
        <apply>
          <in/>
          <ci>s</ci>
          <ci>S</ci>
        </apply>
      </condition>
      <apply>
        <notin/>
        <apply>
          <fn>
            <ci>f</ci>
          </fn>
          <ci>s</ci>
        </apply>
        <ci>T</ci>
      </apply>
    </apply>
  </apply>
</math>

Author: Design Science, Inc. (E. Cannon, E. Tabacman, R.Miner)