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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="qc_lang1.html#NM3">bound_QC-variable</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="qc_lang1.html#NM6">QC-pred_symbol</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be    <a href="qc_lang1.html#M1">QC-variable_list</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>







<b>reconsider </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>3</sub></font> as   <a href="qc_lang1.html#NM2">QC-pred_symbol</a> ;<br/>
<a NAME="E2:47"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="qc_lang1.html#K9">!</a> <font color="Maroon">c<sub>4</sub></font> is <a href="qc_lang1.html#V2">atomic</a>
 
<b>by </b><i><a class="ref" href="qc_lang1.html#D17">QC_LANG1:def 17</a></i>;<br/>
<a NAME="E3:47"/><b>then </b>
( <font color="Maroon">c<sub>5</sub></font> <a href="qc_lang1.html#K9">!</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="qc_lang1.html#K9">!</a> <font color="Maroon">c<sub>4</sub></font> &amp;  <a href="qc_lang1.html#K16">the_arguments_of</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="qc_lang1.html#K9">!</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> &amp;  <a href="qc_lang1.html#K15">the_pred_symbol_of</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="qc_lang1.html#K9">!</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> )
 
<b>by </b><i><a class="ref" href="qc_lang1.html#D21">QC_LANG1:def 21</a>, <a class="ref" href="qc_lang1.html#D22">QC_LANG1:def 22</a></i>;<br/>
<b>hence </b><a NAME="E4:47"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="qc_lang1.html#K9">!</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="cqc_lang.html#K17" target="_self">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="qc_lang1.html#K9">!</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K5" target="_self">Subst</a> <font color="Maroon">c<sub>4</sub></font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="qc_lang3.html#K3">a.</a> 0</span>)</span> <a href="cqc_lang.html#K6" target="_self">.--&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="cqc_lang.html#E2:47"><i><font color="Green">E25</font></i></a>, <a class="ref" href="cqc_lang.html#T29" target="_self">Th29</a></i>;<br/>


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