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<div><span class="kw">theorem </span><a NAME="T49"><span class="comment"><font color="firebrick">:: SUBSET_1:49</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">X</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Olive" title="b2">Y</font> holds <br/> <a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<font color="Olive" title="b3">x</font>,<font color="Olive" title="b1">X</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<font color="Olive" title="b3">x</font>,<font color="Olive" title="b2">Y</font>)</div></div>
