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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E4">Th7</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: HILBERT3:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">A</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">X</font> holds  <span class="p1">(<span class="default">(<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,1) <a href="funct_4.html#K7" title="FUNCT_4:func.7">--&gt;</a> (1,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)</span>)</span> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><a href="funct_3.html#K5" title="FUNCT_3:func.5">chi</a> (<font color="Olive" title="b2">A</font>,<font color="Olive" title="b1">X</font>)</span>)</span> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="funct_3.html#K5" title="FUNCT_3:func.5">chi</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">A</font> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a></span>)</span>,<font color="Olive" title="b1">X</font>)</div></div>
