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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E52">Th62</font></span>: <a NAME="T64"><span class="comment"><font color="firebrick">:: GROUP_23:64</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</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">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">D</font> being   <a href="group_23.html#NM2" title="GROUP_23:NM.2">Subgroup-Family</a> of <font color="Olive" title="b2">F</font>  st (  for <font color="Olive" title="b4">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">I</font> holds  <font color="Olive" title="b3">D</font> <a href="group_23.html#K4" title="GROUP_23:func.4">.</a> <font color="Olive" title="b4">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">F</font> <a href="group_7.html#K1" title="GROUP_7:func.1">.</a> <font color="Olive" title="b4">i</font></span>)</span> <a href="group_5.html#K9" title="GROUP_5:func.9">`</a>  ) holds <br/> <a href="group_7.html#K3" title="GROUP_7:func.3">sum</a> <font color="Olive" title="b3">D</font> is   <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a>   <a href="group_6.html#M1" title="GROUP_6:mode.1">Subgroup</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> <a href="group_5.html#K9" title="GROUP_5:func.9">`</a> </div></div>
