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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E43">Th42</font></span>: <a NAME="T42"><span class="comment"><font color="firebrick">:: INTERVA1:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">U</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="b2">A</font>, <font color="Olive" title="b3">C</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="interva1.html#M1" title="INTERVA1:mode.1">IntervalSet</a> of <font color="Olive" title="b1">U</font><br/>  for <font color="Olive" title="b4">X</font>, <font color="Olive" title="b5">Y</font>, <font color="Olive" title="b6">W</font>, <font color="Olive" title="b7">Z</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">U</font>  st <font color="Olive" title="b2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="interva1.html#K2" title="INTERVA1:func.2">Inter</a> (<font color="Olive" title="b4">X</font>,<font color="Olive" title="b5">Y</font>) &amp; <font color="Olive" title="b3">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="interva1.html#K2" title="INTERVA1:func.2">Inter</a> (<font color="Olive" title="b6">W</font>,<font color="Olive" title="b7">Z</font>) holds <br/><font color="Olive" title="b2">A</font> <a href="interva1.html#K9" title="INTERVA1:func.9">_\_</a> <font color="Olive" title="b3">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="interva1.html#K2" title="INTERVA1:func.2">Inter</a> (<span class="p1">(<span class="default"><font color="Olive" title="b4">X</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Olive" title="b7">Z</font></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b5">Y</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Olive" title="b6">W</font></span>)</span>)</div></div>
