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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">LemmaAuxIrr</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: PREFER_1:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font>, <font color="Olive" title="b2">R</font> being   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a>  st <font color="Olive" title="b1">P</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Olive" title="b2">R</font> holds <br/><font color="Olive" title="b1">P</font> <a href="relat_1.html#K2" title="RELAT_1:func.2">~</a>  <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Olive" title="b2">R</font> <a href="relat_1.html#K2" title="RELAT_1:func.2">~</a> </div></div>
