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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="henmodel.html#V1">Consistent</a> <a href="subset_1.html#NM2">Subset</a> of <a href="cqc_lang.html#K7">CQC-WFF</a> ;<br/>

<b>assume </b><a NAME="E1:39"/>
 <a href="goedelcp.html#K6" target="_self">still_not-bound_in</a> <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1">finite</a>
 ;<br/>

<b>then consider </b><font color="Maroon">c<sub>2</sub></font> being  <a href="henmodel.html#V1">Consistent</a> <a href="subset_1.html#NM2">Subset</a> of <a href="cqc_lang.html#K7">CQC-WFF</a> <b> such that </b><br/><a NAME="E3:39"/><i><font color="Green">E42</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>2</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="goedelcp.html#V2" target="_self">with_examples</a> )
 <b>by </b><i><a class="ref" href="goedelcp.html#T31" target="_self">Th31</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>3</sub></font> being  <a href="henmodel.html#V1">Consistent</a> <a href="subset_1.html#NM2">Subset</a> of <a href="cqc_lang.html#K7">CQC-WFF</a> <b> such that </b><br/><a NAME="E5:39"/><i><font color="Green">E43</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> is <a href="goedelcp.html#V1" target="_self">negation_faithful</a> &amp; <font color="Maroon">c<sub>3</sub></font> is <a href="goedelcp.html#V2" target="_self">with_examples</a> )
 <b>by </b><i><a class="txt" href="goedelcp.html#E3:39"><i><font color="Green">E42</font></i></a>, <a class="ref" href="goedelcp.html#T33" target="_self">Th33</a></i>;<br/>
<a NAME="E6:39"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="txt" href="goedelcp.html#E3:39"><i><font color="Green">E42</font></i></a>, <a class="txt" href="goedelcp.html#E5:39"><i><font color="Green">E43</font></i></a>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>4</sub></font> being    <a href="henmodel.html#M1">Henkin_interpretation</a> of <font color="Maroon">c<sub>3</sub></font>;<br/>
<div><i><font color="Green">E45</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="39_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>5</sub></font> be    <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> ;<br/><b>assume </b><a NAME="E1:39_1"/><i><font color="Green">E46</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/><a NAME="E2:39_1"/>
<font color="Maroon">c<sub>3</sub></font> <a href="henmodel.html#R1">|-</a> <font color="Maroon">c<sub>5</sub></font>
 <b>by </b><i><a class="txt" href="goedelcp.html#E6:39"><i><font color="Green">E44</font></i></a>, <a class="txt" href="goedelcp.html#E1:39_1"><i><font color="Green">E46</font></i></a>, <a class="ref" href="goedelcp.html#T21" target="_self">Th21</a></i>;<br/><b>hence </b><a NAME="E3:39_1"/>
<font color="Maroon">c<sub>4</sub></font>, <a href="henmodel.html#K4">valH</a>  <a href="valuat_1.html#R1">|=</a> <font color="Maroon">c<sub>5</sub></font>
 <b>by </b><i><a class="txt" href="goedelcp.html#E5:39"><i><font color="Green">E43</font></i></a>, <a class="ref" href="goedelcp.html#T17" target="_self">Th17</a></i>;<br/></div><b>end;</b></div>
<b>take </b>
<font color="Maroon">c<sub>3</sub></font>
;<br/>

<b>take </b>
<font color="Maroon">c<sub>4</sub></font>
;<br/>

<b>thus </b><a NAME="E9:39"/>
<font color="Maroon">c<sub>4</sub></font>, <a href="henmodel.html#K4">valH</a>  <a href="calcul_1.html#R6">|=</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="goedelcp.html#E8:39"><i><font color="Green">E45</font></i></a>, <a class="ref" href="calcul_1.html#D11">CALCUL_1:def 11</a></i>;<br/>


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