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<b>let </b><font color="Maroon">X</font> be   <a href="subset_1.html#NM2">Subset</a> of <a href="cqc_lang.html#K7">CQC-WFF</a> ;<br/><b>let </b><font color="Maroon">Y</font> be   <a href="subset_1.html#NM2">Subset</a> of <a href="cqc_lang.html#K7">CQC-WFF</a> ;<br/><b>let </b><font color="Maroon">A</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">J</font> be    <a href="valuat_1.html#M1">interpretation</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">v</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="valuat_1.html#K2">Valuations_in</a> <font color="Maroon">A</font>;<br/>









<b>assume </b><a NAME="E1:40"/><i><font color="Green">E54</font></i>: 
<font color="Maroon">J</font>,<font color="Maroon">v</font> <a href="calcul_1.html#R6">|=</a> <font color="Maroon">X</font>
 ;<br/>

<b>assume </b><a NAME="E2:40"/><i><font color="Green">E55</font></i>: 
<font color="Maroon">Y</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">X</font>
 ;<br/>

<a NAME="E3:40"/>
for <font color="Olive">p</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a>   st <font color="Olive">p</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Y</font> holds <br/><font color="Maroon">J</font>,<font color="Maroon">v</font> <a href="valuat_1.html#R1">|=</a> <font color="Olive">p</font>
 
<b>by </b><i>, , <a class="ref" href="calcul_1.html#D11">CALCUL_1:def 11</a></i>;<br/>
<b>hence </b><a NAME="E4:40"/>
<font color="Maroon">J</font>,<font color="Maroon">v</font> <a href="calcul_1.html#R6">|=</a> <font color="Maroon">Y</font>
 <b>by </b><i><a class="ref" href="calcul_1.html#D11">CALCUL_1:def 11</a></i>;<br/>


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