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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E11">Def15</font></span>   defines <a href="intpro_1.html#K7" title="INTPRO_1:func.7">CnIPC</a> <a onclick="hs(this)" href="javascript:()">INTPRO_1:def 15 : <br/></a><span> for <font color="Olive" title="b1">X</font>, <font color="Olive">b<sub>2</sub></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> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="intpro_1.html#K7" title="INTPRO_1:func.7">CnIPC</a> <font color="Olive" title="b1">X</font> iff  for <font color="Olive" title="b3">r</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 <br/> ( <font color="Olive" title="b3">r</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>2</sub></font> iff  for <font color="Olive" title="b4">T</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>  st <font color="Olive" title="b4">T</font> is  <a href="intpro_1.html#V8" title="INTPRO_1:attr.8">IPC_theory</a>  &amp; <font color="Olive" title="b1">X</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">T</font> holds <br/><font color="Olive" title="b3">r</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">T</font> ) );<br/></span></div>
