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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E4">Th10</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: DOMAIN_1:10</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>, <font color="Olive" title="b5">X4</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>  holds <br/> ( <font color="Olive" title="b1">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"><a href="zfmisc_1.html#K4" title="ZFMISC_1:func.4">[:</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>,<font color="Olive" title="b5">X4</font></span><a href="zfmisc_1.html#K4" title="ZFMISC_1:func.4">:]</a></span> iff  ex <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> ex <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> ex <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> ex <font color="Olive" title="b9">x4</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b5">X4</font> st <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="xtuple_0.html#K6" title="XTUPLE_0:func.6">[</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>,<font color="Olive" title="b9">x4</font></span><a href="xtuple_0.html#K6" title="XTUPLE_0:func.6">]</a></span> )</div></div>
