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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: GROUP_19:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">F</font> being   <a href="group_19.html#NM1" title="GROUP_19:NM.1">Group-Family</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b3">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="group_7.html#K2" title="GROUP_7:func.2">product</a> <font color="Olive" title="b2">F</font></span>)</span> holds <br/> ( <font color="Olive" title="b3">a</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a>  <a href="group_7.html#K3" title="GROUP_7:func.3">sum</a> <font color="Olive" title="b2">F</font> iff  <a href="group_19.html#K3" title="GROUP_19:func.3">support</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b2">F</font>) is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  )</div></div>
