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<span class="kw">let </span><font color="Maroon" title="c1">T</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">CQC-WFF</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">T</font> is  <a href="cqc_the1.html#V1" title="CQC_THE1:attr.1">being_a_theory</a>  implies  <a href="cqc_the1.html#K4" title="CQC_THE1:func.4">TAUT</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">T</font> )</span><br/>

<span class="kw">assume </span><a NAME="E1:90"/><span class="lab"><font color="Green" title="E47">A1</font></span>: 
<font color="Maroon" title="c1">T</font> is  <a href="cqc_the1.html#V1" title="CQC_THE1:attr.1">being_a_theory</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="cqc_the1.html#K4" title="CQC_THE1:func.4">TAUT</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">T</font></span><br/>

<a NAME="E2:90"/><span class="lab"><font color="Green" title="E48">A2</font></span>: 
 <a href="cqc_the1.html#K1" title="CQC_THE1:func.1">Cn</a> <span class="p1">(<span class="default"><a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a> <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">CQC-WFF</a> </span>)</span> <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">T</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cqc_the1.html#T39" target="_self" title="CQC_THE1:th.39">Th39</a>, <a class="ref" href="xboole_1.html#T2" title="XBOOLE_1:th.2">XBOOLE_1:2</a></span>;<br/>
<span class="kw">thus </span><a NAME="E3:90"/>
 <a href="cqc_the1.html#K4" title="CQC_THE1:func.4">TAUT</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">T</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:90"><span class="lab"><font color="Green" title="E47">A1</font></span></a>, <a class="txt" href="#E2:90"><span class="lab"><font color="Green" title="E48">A2</font></span></a>, <a class="ref" href="cqc_the1.html#T41" target="_self" title="CQC_THE1:th.41">Th41</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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