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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: ROUGHS_5:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="roughs_1.html#NM1" title="ROUGHS_1:NM.1">Approximation_Space</a><br/>  for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">R</font>  holds <span class="p1">(<span class="default"><a href="roughs_5.html#K5" title="ROUGHS_5:func.5">f_0</a> <font color="Olive" title="b1">R</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">x</font> is  <a href="roughs_1.html#NV5" title="ROUGHS_1:NV.5">exact</a> </div></div>
