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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E82">Th84</font></span>: <a NAME="T83"><span class="comment"><font color="firebrick">:: INTPRO_2:83</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">q</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="intpro_1.html#K1" title="INTPRO_1:func.1">MC-wff</a>   st  <a href="intpro_2.html#R4" title="INTPRO_2:pred.4">|-_IPC</a> <font color="Olive" title="b1">p</font> <a href="intpro_1.html#K3" title="INTPRO_1:func.3">=&gt;</a> <font color="Olive" title="b2">q</font> &amp;  <a href="intpro_2.html#R4" title="INTPRO_2:pred.4">|-_IPC</a> <font color="Olive" title="b2">q</font> <a href="intpro_1.html#K3" title="INTPRO_1:func.3">=&gt;</a> <font color="Olive" title="b1">p</font> holds <br/> <a href="intpro_2.html#R4" title="INTPRO_2:pred.4">|-_IPC</a> <font color="Olive" title="b1">p</font> <a href="intpro_2.html#K1" title="INTPRO_2:func.1">'equiv'</a> <font color="Olive" title="b2">q</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="intpro_2.html#T82" target="_self" onmouseover="rs('intpro_2/T82')" onmouseout="rh()">Th83</a></span>;<br/></div></div>
