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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E18">Th7</font></span>: <a NAME="T7"><span class="comment"><font color="firebrick">:: ALTCAT_5:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">E</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="b3">A</font> being   <a href="altcat_5.html#NM1" title="ALTCAT_5:NM.1">ObjectsFamily</a> of <font color="Olive" title="b1">I</font>,<span class="p1">(<span class="default"><a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <font color="Olive" title="b2">E</font></span>)</span>  st  <a href="card_3.html#K4" title="CARD_3:func.4">product</a> <font color="Olive" title="b3">A</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">E</font> &amp;  <a href="card_3.html#K4" title="CARD_3:func.4">product</a> <font color="Olive" title="b3">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  holds <br/> <a href="altcat_5.html#K3" title="ALTCAT_5:func.3">EnsCatProduct</a> <font color="Olive" title="b3">A</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Olive" title="b1">I</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></div></div>
