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<div><span class="kw">theorem </span><a NAME="T4"><span class="comment"><font color="firebrick">:: ROUGHS_5:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">f</font> being   <a href="roughs_4.html#NM1" title="ROUGHS_4:NM.1">map</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">R</font> holds   <a href="roughs_2.html#K5" title="ROUGHS_2:func.5">Flip</a> <span class="p1">(<span class="default"><a href="roughs_2.html#K5" title="ROUGHS_2:func.5">Flip</a> <font color="Olive" title="b2">f</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b2">f</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="roughs_2.html#T23" onmouseover="rs('roughs_2/T23')" onmouseout="rh()">ROUGHS_2:23</a></span>;<br/></div></div>
