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<b>let </b><font color="Maroon" title="c1">T</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="hilbert1.html#K1" title="HILBERT1:func.1">HP-WFF</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">T</font> is <a href="hilbert1.html#V6" title="HILBERT1:attr.6">Hilbert_theory</a> implies  <a href="hilbert1.html#K6" title="HILBERT1:func.6">HP_TAUT</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">T</font> )</span><br/>

<b>assume </b><a NAME="E1:33"/><i><font color="Green" title="E23">A1</font></i>: 
<font color="Maroon" title="c1">T</font> is <a href="hilbert1.html#V6" title="HILBERT1:attr.6">Hilbert_theory</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="hilbert1.html#K6" title="HILBERT1:func.6">HP_TAUT</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">T</font></span><br/>

<a NAME="E2:33"/>
 <a href="hilbert1.html#K6" title="HILBERT1:func.6">HP_TAUT</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="hilbert1.html#K5" title="HILBERT1:func.5">CnPos</a> <font color="Maroon" title="c1">T</font>
 
<b>by </b><i><a class="ref" href="hilbert1.html#T10" target="_self" title="HILBERT1:th.10">Th10</a>, <a class="ref" href="xboole_1.html#T2" title="XBOOLE_1:th.2">XBOOLE_1:2</a></i>;<br/>
<b>hence </b><a NAME="E3:33"/>
 <a href="hilbert1.html#K6" title="HILBERT1:func.6">HP_TAUT</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">T</font>
 <b>by </b><i><a class="txt" href="hilbert1.html#E1:33"><i><font color="Green" title="E23">A1</font></i></a>, <a class="ref" href="hilbert1.html#T12" target="_self" title="HILBERT1:th.12">Th12</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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