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<b>let </b><font color="Maroon">p</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> ;<br/><b>let </b><font color="Maroon">x</font> be   <a href="qc_lang1.html#NM3">bound_QC-variable</a>;<br/><b>let </b><font color="Maroon">Sub</font> be   <a href="substut1.html#NM1">CQC_Substitution</a>;<br/>





<b>set </b><font color="Maroon">z</font> =  <a href="substut1.html#K35">S_Bound</a> <span class="p1"><a href="substut2.html#K1" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span>,<font color="Maroon">Sub</font></span><a href="substut2.html#K1" target="_self">]</a></span>;<br/>
<b>set </b><font color="Maroon">finSub</font> =  <a href="substut1.html#K7">RestrictSub</a> <font color="Maroon">x</font>,<span class="p1">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span>,<font color="Maroon">Sub</font>;<br/>
<b>set </b><font color="Maroon">S</font> = <span class="p1"><a href="substut2.html#K1" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span>,<font color="Maroon">Sub</font></span><a href="substut2.html#K1" target="_self">]</a></span>;<br/>
<b>assume </b><a NAME="E1:8"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><a href="substut1.html#K7">RestrictSub</a> <font color="Maroon">x</font>,<span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span>,<font color="Maroon">Sub</font></span>)</span>
 ;<br/>

<a NAME="E2:8"/><i><font color="Green">E44</font></i>: 
( <span class="p1"><a href="substut2.html#K1" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span>,<font color="Maroon">Sub</font></span><a href="substut2.html#K1" target="_self">]</a></span> <a href="substut1.html#K33">`1</a>  <a href="hidden.html#R1">=</a>  <a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<font color="Maroon">p</font> &amp; <span class="p1"><a href="substut2.html#K1" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span>,<font color="Maroon">Sub</font></span><a href="substut2.html#K1" target="_self">]</a></span> <a href="substut1.html#K34">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">Sub</font> )
 
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<b>reconsider </b><font color="Maroon">q</font> = <span class="p1"><a href="substut2.html#K1" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span>,<font color="Maroon">Sub</font></span><a href="substut2.html#K1" target="_self">]</a></span> <a href="substut1.html#K33">`1</a>  as    <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a>  <b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<b>reconsider </b><font color="Maroon">Sub2</font> = <span class="p1"><a href="substut2.html#K1" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span>,<font color="Maroon">Sub</font></span><a href="substut2.html#K1" target="_self">]</a></span> <a href="substut1.html#K34">`2</a>  as   <a href="substut1.html#NM1">CQC_Substitution</a> ;<br/>
<a NAME="E5:8"/>
(  <a href="qc_lang1.html#K20">bound_in</a> <font color="Maroon">q</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> &amp;  <a href="qc_lang1.html#K21">the_scope_of</a> <font color="Maroon">q</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p</font> )
 
<b>by </b><i>, <a class="ref" href="qc_lang2.html#T8">QC_LANG2:8</a></i>;<br/>
<b>hence </b><a NAME="E6:8"/>
 <a href="substut1.html#K35">S_Bound</a> <span class="p1"><a href="substut2.html#K1" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span>,<font color="Maroon">Sub</font></span><a href="substut2.html#K1" target="_self">]</a></span> <a href="hidden.html#R1">=</a>  <a href="qc_lang3.html#K2">x.</a> <span class="p1">(<span class="default"><a href="substut1.html#K13">upVar</a> <span class="p2">(<span class="default"><a href="substut1.html#K7">RestrictSub</a> <font color="Maroon">x</font>,<span class="p3">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span>,<font color="Maroon">Sub</font></span>)</span>,<font color="Maroon">p</font></span>)</span>
 <b>by </b><i>, , <a class="ref" href="substut1.html#D36">SUBSTUT1:def 36</a></i>;<br/>


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