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<b>let </b><font color="Maroon">p1</font> be   <a href="qc_lang1.html#NM8">QC-formula</a>, <font color="Maroon">p2</font> be   <a href="qc_lang1.html#NM8">QC-formula</a>;<br/>

<b>given </b><font color="Maroon">x1</font> being   <a href="qc_lang1.html#NM3">bound_QC-variable</a><b> such that </b><a NAME="E1:37_2_2"/><i><font color="Green">E42</font></i>: 
<font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="qc_lang1.html#K14" target="_self">All</a> <font color="Maroon">x1</font>,<font color="Maroon">p1</font>
 ;<br/>

<b>given </b><font color="Maroon">x2</font> being   <a href="qc_lang1.html#NM3">bound_QC-variable</a><b> such that </b><a NAME="E2:37_2_2"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="qc_lang1.html#K14" target="_self">All</a> <font color="Maroon">x2</font>,<font color="Maroon">p2</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">3,0</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"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">x1</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="finseq_1.html#K7">^</a> <span class="p2">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">p1</font></span>)</span></span>)</span> = 
 <a href="qc_lang1.html#K14" target="_self">All</a> <font color="Maroon">x2</font>,<font color="Maroon">p2</font>
<b>by </b><i><a class="ref" href="finseq_1.html#T45">FINSEQ_1:45</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">3,0</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"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">x2</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="finseq_1.html#K7">^</a> <span class="p2">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">p2</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="E4:37_2_2"/><b>then </b><i><font color="Green">E58</font></i>: 
<span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">x1</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="finseq_1.html#K7">^</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">p1</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">x2</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="finseq_1.html#K7">^</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">p2</font></span>)</span>
 
<b>by </b><i><a class="ref" href="finseq_1.html#T46">FINSEQ_1:46</a></i>;<br/>
<i><font color="Green">E59</font></i>: <font color="Maroon">x1</font> = 
<span class="p1">(<span class="default"><span class="p2"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">x1</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="finseq_1.html#K7">^</a> <span class="p2">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">p1</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> 1
<b>by </b><i><a class="ref" href="finseq_1.html#T58">FINSEQ_1:58</a></i>
<br/>.= 
<font color="Maroon">x2</font>
<b>by </b><i><a class="ref" href="qc_lang1.html#D6" target="_self">Def6</a>, <a class="ref" href="finseq_1.html#T58">FINSEQ_1:58</a></i>
;<br/>
<b>thus </b><a NAME="E6:37_2_2"/>
<font color="Maroon">p1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p2</font>
 <b>by </b><i><a class="ref" href="qc_lang1.html#D6" target="_self">Def6</a>, <a class="txt" href="qc_lang1.html#E1:37"><i><font color="Green">E32</font></i></a>, <a class="ref" href="finseq_1.html#T46">FINSEQ_1:46</a></i>;<br/>


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