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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E28">Th27</font></span>: <a NAME="T27"><span class="comment"><font color="firebrick">:: INTERVA1:27</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">B</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">U</font><br/>  for <font color="Olive" title="b4">F</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="interva1.html#V1" title="INTERVA1:attr.1">ordered</a>  <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Olive" title="b1">U</font>  st <font color="Olive" title="b4">F</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="b2">A</font>,<font color="Olive" title="b3">B</font>) holds <br/>(  <a href="interva1.html#K7" title="INTERVA1:func.7">min</a> <font color="Olive" title="b4">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">A</font> &amp;  <a href="interva1.html#K8" title="INTERVA1:func.8">max</a> <font color="Olive" title="b4">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">B</font> )</div></div>
