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<div><span class="kw">theorem </span><a NAME="T6"><span class="comment"><font color="firebrick">:: DOMAIN_1:6</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">X1</font>, <font color="Olive" title="b3">X2</font>, <font color="Olive" title="b4">X3</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="b5">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">[:</a><span class="default"><font color="Olive" title="b2">X1</font>,<font color="Olive" title="b3">X2</font>,<font color="Olive" title="b4">X3</font></span><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">:]</a></span> holds <br/> ( <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">x</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a>  iff  for <font color="Olive" title="b6">x1</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">X1</font><br/>  for <font color="Olive" title="b7">x2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b3">X2</font><br/>  for <font color="Olive" title="b8">x3</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b4">X3</font>  st <font color="Olive" title="b5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><font color="Olive" title="b6">x1</font>,<font color="Olive" title="b7">x2</font>,<font color="Olive" title="b8">x3</font></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> holds <br/><font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">x1</font> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="mcart_1.html#T65" onmouseover="rs('mcart_1/T65')" onmouseout="rh()">MCART_1:65</a></span>;<br/></div></div>
