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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E59">Th53</font></span>: <a NAME="T52"><span class="comment"><font color="firebrick">:: INTPRO_2:52</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">F</font>, <font color="Olive" title="b3">G</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 <font color="Olive" title="b1">X</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b2">F</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="intpro_2.html#R3" title="INTPRO_2:pred.3">|-_IPC</a> <font color="Olive" title="b3">G</font> holds <br/><font color="Olive" title="b1">X</font> <a href="intpro_2.html#R3" title="INTPRO_2:pred.3">|-_IPC</a> <font color="Olive" title="b2">F</font> <a href="intpro_1.html#K3" title="INTPRO_1:func.3">=&gt;</a> <font color="Olive" title="b3">G</font></div></div>
