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<div><span class="kw">theorem </span><a NAME="T25"><span class="comment"><font color="firebrick">:: DOMAIN_1:25</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X1</font>, <font color="Olive" title="b2">X2</font>, <font color="Olive" title="b3">X3</font>, <font color="Olive" title="b4">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> <br/>  for <font color="Olive" title="b5">A1</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">X1</font><br/>  for <font color="Olive" title="b6">A2</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b2">X2</font><br/>  for <font color="Olive" title="b7">A3</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b3">X3</font><br/>  for <font color="Olive" title="b8">A4</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b4">X4</font> holds  <span class="p1"><a href="mcart_1.html#K10" title="MCART_1:func.10">[:</a><span class="default"><font color="Olive" title="b5">A1</font>,<font color="Olive" title="b6">A2</font>,<font color="Olive" title="b7">A3</font>,<font color="Olive" title="b8">A4</font></span><a href="mcart_1.html#K10" title="MCART_1:func.10">:]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <span class="p2"><a href="domain_1.html#K5" title="DOMAIN_1:func.5">[</a><span class="default"><font color="Olive" title="b9">x1</font>,<font color="Olive" title="b10">x2</font>,<font color="Olive" title="b11">x3</font>,<font color="Olive" title="b12">x4</font></span><a href="domain_1.html#K5" title="DOMAIN_1:func.5">]</a></span> where <font color="Olive" title="b9">x1</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X1</font>, <font color="Olive" title="b10">x2</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">X2</font>, <font color="Olive" title="b11">x3</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b3">X3</font>, <font color="Olive" title="b12">x4</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b4">X4</font> : ( <font color="Olive" title="b9">x1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">A1</font> &amp; <font color="Olive" title="b10">x2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b6">A2</font> &amp; <font color="Olive" title="b11">x3</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b7">A3</font> &amp; <font color="Olive" title="b12">x4</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b8">A4</font> ) </span> } </span> </div></div>
