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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th21</font></span>: <a NAME="T21"><span class="comment"><font color="firebrick">:: DESCIP_1:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</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">x1</font>, <font color="Olive" title="b3">x2</font>, <font color="Olive" title="b4">x3</font>, <font color="Olive" title="b5">x4</font>, <font color="Olive" title="b6">x5</font>, <font color="Olive" title="b7">x6</font>, <font color="Olive" title="b8">x7</font>, <font color="Olive" title="b9">x8</font>, <font color="Olive" title="b10">x9</font>, <font color="Olive" title="b11">x10</font>, <font color="Olive" title="b12">x11</font>, <font color="Olive" title="b13">x12</font>, <font color="Olive" title="b14">x13</font>, <font color="Olive" title="b15">x14</font>, <font color="Olive" title="b16">x15</font>, <font color="Olive" title="b17">x16</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">S</font>  ex <font color="Olive" title="b18">s</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b1">S</font> st <br/>( <font color="Olive" title="b18">s</font> is 16 <a href="card_1.html#V3" title="CARD_1:attr.3">-element</a>  &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">x1</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">x2</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 3 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">x3</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">x4</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 5 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">x5</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 6 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b7">x6</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 7 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b8">x7</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 8 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b9">x8</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 9 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b10">x9</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 10 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b11">x10</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 11 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b12">x11</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 12 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b13">x12</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 13 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b14">x13</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 14 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b15">x14</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 15 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b16">x15</font> &amp; <font color="Olive" title="b18">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 16 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b17">x16</font> )</div></div>
