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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E26">Th18</font></span>: <a NAME="T24"><span class="comment"><font color="firebrick">:: ALTCAT_1:24</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</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">o1</font>, <font color="Olive" title="b3">o2</font>, <font color="Olive" title="b4">o3</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <span class="p1">(<span class="default"><a href="altcat_1.html#K9" title="ALTCAT_1:func.9">DiscrCat</a> <font color="Olive" title="b1">A</font></span>)</span>  st ( <font color="Olive" title="b2">o1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">o2</font> or <font color="Olive" title="b3">o2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b4">o3</font> ) holds <br/> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <span class="p1">(<span class="default"><a href="altcat_1.html#K9" title="ALTCAT_1:func.9">DiscrCat</a> <font color="Olive" title="b1">A</font></span>)</span> <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Olive" title="b2">o1</font>,<font color="Olive" title="b3">o2</font>,<font color="Olive" title="b4">o3</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </div></div>
