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Alternatives: | (mml file) (full) (simple) (plain) (form) (slideshow)
File: | StrictContent/ArithmeticAlgebraLogic/logic5
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)
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eq not forall s implies in s suchthat R lambda s in s S in f x T exists s in s S

Source Code:

    <math xmlns="http://www.w3.org/1998/Math/MathML">
             <apply>
                <csymbol cd="relation1">eq</csymbol>
                <apply>
                   <csymbol cd="logic1">not</csymbol>
                   <bind>
                      <csymbol cd="quant1">forall</csymbol>
                      <bvar>
                         <ci>s</ci>
                      </bvar>
                      <apply>
                         <csymbol cd="logic1">implies</csymbol>
                         <apply>
                            <csymbol cd="set1">in</csymbol>
                            <ci>s</ci>
                            <apply>
                               <csymbol cd="set1">suchthat</csymbol>
                               <ci>R</ci>
                               <bind>
                                  <csymbol cd="fns1">lambda</csymbol>
                                  <bvar>
                                     <ci>s</ci>
                                  </bvar>
                                  <apply>
                                     <csymbol cd="set1">in</csymbol>
                                     <ci>s</ci>
                                     <ci>S</ci>
                                  </apply>
                               </bind>
                            </apply>
                         </apply>
                         <apply>
                            <csymbol cd="set1">in</csymbol>
                            <apply>
                               <ci>f</ci>
                               <ci>x</ci>
                            </apply>
                            <ci>T</ci>
                         </apply>
                      </apply>
                   </bind>
                </apply>
                <bind>
                   <csymbol cd="quant1">exists</csymbol>
                   <bvar>
                      <ci>s</ci>
                   </bvar>
                   <apply>
                      <csymbol cd="set1">in</csymbol>
                      <ci>s</ci>
                      <ci>S</ci>
                   </apply>
                </bind>
             </apply>
          </math>