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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th3</font></span>: <a NAME="T4"><span class="comment"><font color="firebrick">:: COMPOS_0:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="compos_0.html#V1" title="COMPOS_0:attr.1">standard-ins</a>   <a href="compos_0.html#V2" title="COMPOS_0:attr.2">homogeneous</a>   <a href="compos_0.html#V3" title="COMPOS_0:attr.3">J/A-independent</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">I</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">S</font>  st <font color="Olive" title="b3">I</font> is  <a href="compos_0.html#V4" title="COMPOS_0:attr.4">ins-loc-free</a>  holds <br/> <a href="compos_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Olive" title="b3">I</font>,<font color="Olive" title="b1">k</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">I</font></div></div>
