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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E31">Th20</font></span>: <a NAME="T19"><span class="comment"><font color="firebrick">:: INTPRO_2:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="intpro_1.html#K1" title="INTPRO_1:func.1">MC-wff</a><br/>  for <font color="Olive" title="b2">p</font>, <font color="Olive" title="b3">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>  holds  <font color="Olive" title="b1">X</font> <a href="intpro_2.html#R3" title="INTPRO_2:pred.3">|-_IPC</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="intpro_1.html#K4" title="INTPRO_1:func.4">'&amp;'</a> <font color="Olive" title="b3">q</font></span>)</span> <a href="intpro_1.html#K3" title="INTPRO_1:func.3">=&gt;</a> <font color="Olive" title="b2">p</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="intpro_1.html#T3" onmouseover="rs('intpro_1/T3')" onmouseout="rh()">INTPRO_1:3</a></span>;<br/></div></div>
