<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">Th15</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: ZF_MODEL:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">E</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="zf_lang.html#K1" title="ZF_LANG:func.1">VAR</a>,<font color="Olive" title="b1">E</font><br/>  for <font color="Olive" title="b3">H</font>, <font color="Olive" title="b4">H9</font> being   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a> holds <br/> ( <font color="Olive" title="b1">E</font>,<font color="Olive" title="b2">f</font> <a href="zf_model.html#R1" title="ZF_MODEL:pred.1">|=</a> <font color="Olive" title="b3">H</font> <a href="zf_lang.html#K6" title="ZF_LANG:func.6">'&amp;'</a> <font color="Olive" title="b4">H9</font> iff ( <font color="Olive" title="b1">E</font>,<font color="Olive" title="b2">f</font> <a href="zf_model.html#R1" title="ZF_MODEL:pred.1">|=</a> <font color="Olive" title="b3">H</font> &amp; <font color="Olive" title="b1">E</font>,<font color="Olive" title="b2">f</font> <a href="zf_model.html#R1" title="ZF_MODEL:pred.1">|=</a> <font color="Olive" title="b4">H9</font> ) ) <span class="kw">by</span> <span class="lab"><a class="ref" href="zf_model.html#T5" target="_self" onmouseover="rs('zf_model/T5')" onmouseout="rh()">Th5</a></span>;<br/></div></div>
