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<div><span class="kw">theorem </span><a NAME="T35"><span class="comment"><font color="firebrick">:: GROUP_21:35</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">J</font> being   <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>   <a href="prob_2.html#V1" title="PROB_2:attr.1">disjoint_valued</a>  <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b3">F</font> being    <a href="group_21.html#M2" title="GROUP_21:mode.2">Group-Family</a> of <font color="Olive" title="b1">I</font>,<font color="Olive" title="b2">J</font> holds   <a href="group_21.html#K19" title="GROUP_21:func.19">dsum2sum</a> <font color="Olive" title="b3">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="group_21.html#K20" title="GROUP_21:func.20">sum2dsum</a> <font color="Olive" title="b3">F</font></span>)</span> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="funct_1.html#T43" onmouseover="rs('funct_1/T43')" onmouseout="rh()">FUNCT_1:43</a></span>;<br/></div></div>
