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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th47</font></span>: <a NAME="T47"><span class="comment"><font color="firebrick">:: YELLOW20:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="altcat_1.html#V2" title="ALTCAT_1:attr.2">transitive</a>   <a href="altcat_1.html#L2" title="ALTCAT_1:struct.2">AltCatStr</a> <br/>  for <font color="Olive" title="b2">B</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="altcat_1.html#V2" title="ALTCAT_1:attr.2">transitive</a>   <a href="altcat_2.html#M1" title="ALTCAT_2:mode.1">SubCatStr</a> of <font color="Olive" title="b1">A</font> holds  <font color="Olive" title="b2">B</font> <a href="yellow18.html#K1" title="YELLOW18:func.1">opp</a>  is    <a href="altcat_2.html#M1" title="ALTCAT_2:mode.1">SubCatStr</a> of <font color="Olive" title="b1">A</font> <a href="yellow18.html#K1" title="YELLOW18:func.1">opp</a> </div></div>
