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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="subset_1.html#NM2">Subset</a> of <a href="hilbert1.html#K1" target="_self">HP-WFF</a> ;<br/>

<a NAME="E1:18"/>
for <font color="Olive">b<sub>1</sub></font> being  <a href="subset_1.html#NM2">Subset</a> of <a href="hilbert1.html#K1" target="_self">HP-WFF</a>  st <font color="Olive">b<sub>1</sub></font> is <a href="hilbert1.html#V6" target="_self">Hilbert_theory</a> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="tarski.html#R1">c=</a> <font color="Olive">b<sub>1</sub></font> holds <br/> <a href="hilbert1.html#K2" target="_self">VERUM</a>  <a href="hidden.html#R2">in</a> <font color="Olive">b<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="hilbert1.html#D10" target="_self">Def10</a></i>;<br/>
<b>hence </b><a NAME="E2:18"/>
 <a href="hilbert1.html#K2" target="_self">VERUM</a>  <a href="hidden.html#R2">in</a>  <a href="hilbert1.html#K5" target="_self">CnPos</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="hilbert1.html#D11" target="_self">Def11</a></i>;<br/>


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