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<div><span class="kw">theorem </span><a NAME="T117"><span class="comment"><font color="firebrick">:: XBOOLE_1:117</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font>, <font color="Olive" title="b2">G</font>, <font color="Olive" title="b3">C</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b3">C</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">G</font> holds <br/><font color="Olive" title="b1">P</font> <a href="xboole_0.html#K4" title="XBOOLE_0:func.4">\</a> <font color="Olive" title="b3">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">P</font> <a href="xboole_0.html#K4" title="XBOOLE_0:func.4">\</a> <font color="Olive" title="b2">G</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">P</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">G</font> <a href="xboole_0.html#K4" title="XBOOLE_0:func.4">\</a> <font color="Olive" title="b3">C</font></span>)</span></span>)</span></div></div>
