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Alternatives: | (mml file) (full) (simple) (plain) (form) (slideshow)
File: | Content/ArithmeticAlgebraLogic/forall/rec-forall7
CVS-ID: |
Author: | Design Science, Inc. (E. Cannon, E. Tabacman, R.Miner)
Description: | not (forall s in S where f(s) is in T) = (there exists s in S such that f(s) is not in T)
passed (p) failed (f) not-tested (n) broken-test (b) some parts pass (s)
Sample Rendering:

Your browser's rendering:

s s S f x T s s S f s T

Source Code:

        <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>