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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E11">Th10</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: UPROOTS:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b3">b</font> being   <a href="pre_poly.html#NM2" title="PRE_POLY:NM.2">bag</a> of <font color="Olive" title="b1">A</font> holds <br/> ( ( <font color="Olive" title="b2">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pre_poly.html#K22" title="PRE_POLY:func.22">support</a> <font color="Olive" title="b3">b</font> &amp;  <a href="uproots.html#K3" title="UPROOTS:func.3">degree</a> <font color="Olive" title="b3">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Olive" title="b2">S</font> ) iff <font color="Olive" title="b3">b</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> (<font color="Olive" title="b2">S</font>,1) <a href="uproots.html#K1" title="UPROOTS:func.1">-bag</a>  )</div></div>
