<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">X</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="cqc_lang.html#K7" title="CQC_LANG:func.7">CQC-WFF</a> ;<br/><b>let </b><font color="Maroon" title="c2">p</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K7" title="CQC_LANG:func.7">CQC-WFF</a> ;<br/>



<b>assume </b><a NAME="E1:73"/>
 <a href="cqc_the1.html#NR5" title="CQC_THE1:NR.5">|-</a> <font color="Maroon" title="c2">p</font>
 ;<br/>

<a NAME="E2:73"/><b>then </b>
( <font color="Maroon" title="c2">p</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cqc_the1.html#K4" title="CQC_THE1:func.4">TAUT</a>  &amp;  <a href="cqc_the1.html#K4" title="CQC_THE1:func.4">TAUT</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="cqc_the1.html#K1" title="CQC_THE1:func.1">Cn</a> <font color="Maroon" title="c1">X</font> )
 
<b>by </b><i><a class="txt" href="cqc_the1.html#E119"><i><font color="Green" title="E54">Lm14</font></i></a>, <a class="ref" href="cqc_the1.html#T75" target="_self" title="CQC_THE1:th.75">Th75</a></i>;<br/>
<b>hence </b><a NAME="E3:73"/>
<font color="Maroon" title="c1">X</font> <a href="cqc_the1.html#R3" title="CQC_THE1:pred.3">|-</a> <font color="Maroon" title="c2">p</font>
 <b>by </b><i><a class="ref" href="cqc_the1.html#D9" target="_self" title="CQC_THE1:def.9">Def9</a></i>;<br/>


</div>
