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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E46">Th45</font></span>: <a NAME="T45"><span class="comment"><font color="firebrick">:: INTERVA1:45</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> 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> holds  <font color="Olive" title="b2">A</font> <a href="interva1.html#K10" title="INTERVA1:func.10">^</a>  <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"><span class="p2">(<span class="default"><font color="Olive" title="b2">A</font> <a href="interva1.html#K6" title="INTERVA1:func.6">``2</a></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">A</font> <a href="interva1.html#K5" title="INTERVA1:func.5">``1</a></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a></span>)</span>) <span class="kw">by</span> <span class="lab"><a class="ref" href="interva1.html#T41" target="_self" onmouseover="rs('interva1/T41')" onmouseout="rh()">Th41</a></span>;<br/></div></div>
