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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E38">Th38</font></span>: <a NAME="T41"><span class="comment"><font color="firebrick">:: GROUP_23:41</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">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b3">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> holds  <span class="p1">(<span class="default"><a href="group_23.html#K12" title="GROUP_23:func.12">proj</a> (<font color="Olive" title="b3">F</font>,<font color="Olive" title="b2">i</font>)</span>)</span> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><a href="group_12.html#K3" title="GROUP_12:func.3">1ProdHom</a> (<font color="Olive" title="b3">F</font>,<font color="Olive" title="b2">i</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><font color="Olive" title="b3">F</font> <a href="group_7.html#K1" title="GROUP_7:func.1">.</a> <font color="Olive" title="b2">i</font></span>)</span></div></div>
