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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: PENCIL_2:8</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">A</font> being   <a href="waybel18.html#V1" title="WAYBEL18:attr.1">TopStruct-yielding</a>   <a href="pencil_1.html#V13" title="PENCIL_1:attr.13">non-Trivial-yielding</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">B1</font>, <font color="Olive" title="b4">B2</font> being    <a href="pencil_2.html#M1" title="PENCIL_2:mode.1">Segre-Coset</a> of <font color="Olive" title="b2">A</font>  st 2 <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">B1</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Olive" title="b4">B2</font></span>)</span> holds <br/><font color="Olive" title="b3">B1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">B2</font></div></div>
