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<div><span class="kw">theorem </span><a NAME="T20"><span class="comment"><font color="firebrick">:: ZF_LANG1:20</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">q</font> being   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a><br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font>, <font color="Olive" title="b5">z</font>, <font color="Olive" title="b6">s</font>, <font color="Olive" title="b7">t</font> being   <a href="zf_lang.html#NM1" title="ZF_LANG:NM.1">Variable</a>  st  <a href="zf_lang.html#K16" title="ZF_LANG:func.16">Ex</a> (<font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">y</font>,<font color="Olive" title="b5">z</font>,<font color="Olive" title="b1">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K14" title="ZF_LANG:func.14">Ex</a> (<font color="Olive" title="b7">t</font>,<font color="Olive" title="b6">s</font>,<font color="Olive" title="b2">q</font>) holds <br/>( <font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b7">t</font> &amp; <font color="Olive" title="b4">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">s</font> &amp;  <a href="zf_lang.html#K12" title="ZF_LANG:func.12">Ex</a> (<font color="Olive" title="b5">z</font>,<font color="Olive" title="b1">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">q</font> )</div></div>
