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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E71">Th71</font></span>: <a NAME="T71"><span class="comment"><font color="firebrick">:: INTERVA1:71</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="roughs_1.html#NM2" title="ROUGHS_1:NM.2">Tolerance_Space</a><br/>  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">B</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="interva1.html#K21" title="INTERVA1:func.21">RSLattice</a> <font color="Olive" title="b1">X</font></span>)</span><br/>  for <font color="Olive" title="b4">A9</font>, <font color="Olive" title="b5">B9</font> being    <a href="interva1.html#M2" title="INTERVA1:mode.2">RoughSet</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">A9</font> &amp; <font color="Olive" title="b3">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">B9</font> holds <br/>( <font color="Olive" title="b2">A</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Olive" title="b3">B</font> iff (  <a href="interva1.html#K14" title="INTERVA1:func.14">LAp</a> <font color="Olive" title="b4">A9</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="interva1.html#K14" title="INTERVA1:func.14">LAp</a> <font color="Olive" title="b5">B9</font> &amp;  <a href="interva1.html#K15" title="INTERVA1:func.15">UAp</a> <font color="Olive" title="b4">A9</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="interva1.html#K15" title="INTERVA1:func.15">UAp</a> <font color="Olive" title="b5">B9</font> ) )</div></div>
