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<b>let </b><font color="Maroon">q1</font> be   <a href="qc_lang1.html#NM8">QC-formula</a>, <font color="Maroon">q2</font> be   <a href="qc_lang1.html#NM8">QC-formula</a>;<br/>

<b>given </b><font color="Maroon">p1</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="qc_lang1.html#K8" target="_self">QC-WFF</a> <b> such that </b><a NAME="E1:36_1_2"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p1</font> <a href="qc_lang1.html#K13" target="_self">'&amp;'</a> <font color="Maroon">q1</font>
 ;<br/>

<b>given </b><font color="Maroon">p2</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="qc_lang1.html#K8" target="_self">QC-WFF</a> <b> such that </b><a NAME="E2:36_1_2"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p2</font> <a href="qc_lang1.html#K13" target="_self">'&amp;'</a> <font color="Maroon">q2</font>
 ;<br/>

<span class="p1"><a href="finseq_1.html#K9">&lt;*</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default">2,0</span><a href="tarski.html#K4">]</a></span></span><a href="finseq_1.html#K9">*&gt;</a></span> <a href="finseq_1.html#K7">^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">p1</font></span>)</span> <a href="finseq_1.html#K8">^</a> <span class="p2">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">q1</font></span>)</span></span>)</span> = 
<font color="Maroon">p2</font> <a href="qc_lang1.html#K13" target="_self">'&amp;'</a> <font color="Maroon">q2</font>
<b>by </b><i><a class="ref" href="finseq_1.html#T45">FINSEQ_1:45</a>, <a class="ref" href="qc_lang1.html#T10" target="_self">Th10</a>, </i>
<br/>.= 
<span class="p1"><a href="finseq_1.html#K9">&lt;*</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default">2,0</span><a href="tarski.html#K4">]</a></span></span><a href="finseq_1.html#K9">*&gt;</a></span> <a href="finseq_1.html#K7">^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">p2</font></span>)</span> <a href="finseq_1.html#K8">^</a> <span class="p2">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">q2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="finseq_1.html#T45">FINSEQ_1:45</a></i>
;<br/>
<a NAME="E4:36_1_2"/><b>then </b><i><font color="Green">E36</font></i>: 
<span class="p1">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">p1</font></span>)</span> <a href="finseq_1.html#K8">^</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">q1</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">p2</font></span>)</span> <a href="finseq_1.html#K8">^</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">q2</font></span>)</span>
 
<b>by </b><i><a class="ref" href="finseq_1.html#T46">FINSEQ_1:46</a></i>;<br/>
<font color="Maroon">p1</font> = 
 <a href="qc_lang1.html#K18" target="_self">the_left_argument_of</a> <font color="Maroon">F</font>
<b>by </b><i><a class="ref" href="qc_lang1.html#T4" target="_self">Th4</a>, <a class="ref" href="qc_lang1.html#T10" target="_self">Th10</a>, </i>
<br/>.= 
<font color="Maroon">p2</font>
<b>by </b><i><a class="ref" href="qc_lang1.html#T4" target="_self">Th4</a>, , </i>
;<br/>
<a NAME="E6:36_1_2"/><b>then </b>
 <a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">q1</font> <a href="hidden.html#R1">=</a>  <a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">q2</font>
 
<b>by </b><i>, <a class="ref" href="finseq_1.html#T46">FINSEQ_1:46</a></i>;<br/>
<b>hence </b><a NAME="E7:36_1_2"/>
<font color="Maroon">q1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">q2</font>
 ;<br/>


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