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<div><span class="kw">theorem </span><a NAME="T63"><span class="comment"><font color="firebrick">:: MCART_1:63</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> <br/>  for <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Olive" title="b2">X</font>,<font color="Olive" title="b3">Y</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> holds <br/>( <font color="Olive" title="b1">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b1">x</font> <a href="xtuple_0.html#K1" title="XTUPLE_0:func.1">`1</a>  &amp; <font color="Olive" title="b1">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b1">x</font> <a href="xtuple_0.html#K2" title="XTUPLE_0:func.2">`2</a>  ) <span class="kw">by</span> <span class="lab"><a class="ref" href="mcart_1.html#T62" target="_self" onmouseover="rs('mcart_1/T62')" onmouseout="rh()">Th48</a></span>;<br/></div></div>
