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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E24">RIF2Iff</font></span>: <a NAME="T20"><span class="comment"><font color="firebrick">:: ROUGHIF1:20</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="roughs_1.html#NM1" title="ROUGHS_1:NM.1">Approximation_Space</a><br/>  for <font color="Olive" title="b2">f</font> being   <a href="roughif1.html#V1" title="ROUGHIF1:attr.1">satisfying_RIF1</a>  <a href="roughif1.html#NM2" title="ROUGHIF1:NM.2">preRIF</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive" title="b2">f</font> is  <a href="roughif1.html#V2" title="ROUGHIF1:attr.2">satisfying_RIF2</a>  iff <font color="Olive" title="b2">f</font> is  <a href="roughif1.html#V7" title="ROUGHIF1:attr.7">satisfying_RIF2*</a>  )</div></div>
