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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="qc_lang1.html#K8">QC-WFF</a> ;<br/>

<b>given </b><font color="Maroon">c<sub>2</sub></font> being   <a href="qc_lang1.html#NM3">bound_QC-variable</a>, <font color="Maroon">c<sub>3</sub></font> being    <a href="subset_1.html#M1">Element</a> of  <a href="qc_lang1.html#K8">QC-WFF</a> <b> such that </b><a NAME="E1:37"/><i><font color="Green">E20</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="qc_lang2.html#K5" target="_self">Ex</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="qc_lang2.html#D13" target="_self">QC_LANG2:def 13</a><br/>

<a NAME="E2:37"/>
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="qc_lang1.html#K12">'not'</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K14">All</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="qc_lang1.html#K12">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> &amp;  <a href="qc_lang1.html#K17">the_argument_of</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K12">'not'</a> <span class="p2">(<span class="default"><a href="qc_lang1.html#K14">All</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p3">(<span class="default"><a href="qc_lang1.html#K12">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="qc_lang1.html#K14">All</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="qc_lang1.html#K12">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> &amp;  <a href="qc_lang1.html#K21">the_scope_of</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K14">All</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="qc_lang1.html#K12">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="qc_lang1.html#K12">'not'</a> <font color="Maroon">c<sub>3</sub></font> &amp;  <a href="qc_lang1.html#K17">the_argument_of</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K12">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> &amp;  <a href="qc_lang1.html#K20">bound_in</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K14">All</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="qc_lang1.html#K12">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> )
 
<b>by </b><i><a class="txt" href="qc_lang2.html#E1:37"><i><font color="Green">E20</font></i></a>, <a class="ref" href="qc_lang2.html#T2" target="_self">Th2</a>, <a class="ref" href="qc_lang2.html#T8" target="_self">Th8</a></i>;<br/>
<b>hence </b><a NAME="E3:37"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="qc_lang2.html#K5" target="_self">Ex</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K20">bound_in</a> <span class="p2">(<span class="default"><a href="qc_lang1.html#K17">the_argument_of</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="qc_lang1.html#K17">the_argument_of</a> <span class="p2">(<span class="default"><a href="qc_lang1.html#K21">the_scope_of</a> <span class="p3">(<span class="default"><a href="qc_lang1.html#K17">the_argument_of</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
 ;<br/>


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