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File:StrictContent/ArithmeticAlgebraLogic/forall/rec-forall3
CVS-ID:
Author:MathML 2 Recomendation
Description:forall/and/lt/power

passed (p) failed (f) not-tested (n) broken-test (b) some parts pass (s)

Sample Rendering:

Created by: webeq

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forall p q implies in p q suchthat R lambda p q and in p Q in q Q lt p q lt p power q 2

Source Code:

<math xmlns="http://www.w3.org/1998/Math/MathML">
         <bind>
            <csymbol cd="quant1">forall</csymbol>
            <bvar>
               <ci>p</ci>
            </bvar>
            <bvar>
               <ci>q</ci>
            </bvar>
            <apply>
               <csymbol cd="logic1">implies</csymbol>
               <apply>
                  <csymbol cd="set1">in</csymbol>
                  <ci>p</ci>
                  <ci>q</ci>
                  <apply>
                     <csymbol cd="set1">suchthat</csymbol>
                     <ci>R</ci>
                     <bind>
                        <csymbol cd="fns1">lambda</csymbol>
                        <bvar>
                           <ci>p</ci>
                        </bvar>
                        <bvar>
                           <ci>q</ci>
                        </bvar>
                        <apply>
                           <csymbol cd="logic1">and</csymbol>
                           <apply>
                              <csymbol cd="set1">in</csymbol>
                              <ci>p</ci>
                              <csymbol cd="setname1">Q</csymbol>
                           </apply>
                           <apply>
                              <csymbol cd="set1">in</csymbol>
                              <ci>q</ci>
                              <csymbol cd="setname1">Q</csymbol>
                           </apply>
                           <apply>
                              <csymbol cd="relation1">lt</csymbol>
                              <ci>p</ci>
                              <ci>q</ci>
                           </apply>
                        </apply>
                     </bind>
                  </apply>
               </apply>
               <apply>
                  <csymbol cd="relation1">lt</csymbol>
                  <ci>p</ci>
                  <apply>
                     <csymbol cd="arith1">power</csymbol>
                     <ci>q</ci>
                     <cn>2</cn>
                  </apply>
               </apply>
            </apply>
         </bind>
      </math>