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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: NUMERAL2:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="afinsq_1.html#NM1" title="AFINSQ_1:NM.1">XFinSequence</a><br/>  for <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b2">X</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Olive" title="b3">Y</font> holds <br/> ex <font color="Olive" title="b4">P</font> being   <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of <span class="p1">(<span class="default"><a href="afinsq_1.html#K2" title="AFINSQ_1:func.2">dom</a> <span class="p2">(<span class="default"><a href="afinsq_2.html#K5" title="AFINSQ_2:func.5">SubXFinS</a> (<font color="Olive" title="b1">F</font>,<span class="p3">(<span class="default"><font color="Olive" title="b2">X</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b3">Y</font></span>)</span>)</span>)</span></span>)</span> st <span class="p1">(<span class="default"><a href="afinsq_2.html#K5" title="AFINSQ_2:func.5">SubXFinS</a> (<font color="Olive" title="b1">F</font>,<span class="p2">(<span class="default"><font color="Olive" title="b2">X</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b3">Y</font></span>)</span>)</span>)</span> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <font color="Olive" title="b4">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="afinsq_2.html#K5" title="AFINSQ_2:func.5">SubXFinS</a> (<font color="Olive" title="b1">F</font>,<font color="Olive" title="b2">X</font>)</span>)</span> <a href="ordinal4.html#K1" title="ORDINAL4:func.1">^</a> <span class="p1">(<span class="default"><a href="afinsq_2.html#K5" title="AFINSQ_2:func.5">SubXFinS</a> (<font color="Olive" title="b1">F</font>,<font color="Olive" title="b3">Y</font>)</span>)</span></div></div>
