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<b>let </b><font color="Maroon">Sub</font> be   <a href="substut1.html#NM1">CQC_Substitution</a>;<br/>

<b>reconsider </b><font color="Maroon">S</font> = <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><a href="cqc_lang.html#K9">VERUM</a> ,<font color="Maroon">Sub</font></span><a href="domain_1.html#K1">]</a></span> as    <a href="subset_1.html#M1">Element</a> of  <a href="substut1.html#K16">QC-Sub-WFF</a>  <b>by </b><i><a class="ref" href="qc_lang1.html#D13">QC_LANG1:def 13</a>, <a class="ref" href="substut1.html#D16">SUBSTUT1:def 16</a></i>;<br/>
<b>take </b>
<font color="Maroon">S</font>
;<br/>

<a NAME="E2:1"/>
<font color="Maroon">S</font> <a href="substut1.html#K18">`1</a>  <a href="hidden.html#R1">=</a>  <a href="cqc_lang.html#K9">VERUM</a> 
 
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<a NAME="E3:1"/><b>then </b>
<font color="Maroon">S</font> <a href="hidden.html#R2">in</a>  <a href="substut1.html#K38">CQC-Sub-WFF</a> 
 
<b>by </b><i><a class="ref" href="substut1.html#D39">SUBSTUT1:def 39</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">S</font> = <font color="Maroon">S</font> as    <a href="subset_1.html#M2">Element</a> of  <a href="substut1.html#K38">CQC-Sub-WFF</a>  ;<br/>
<a NAME="E5:1"/>
<font color="Maroon">S</font> <a href="substut1.html#K19">`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>hence </b><a NAME="E6:1"/>
( <font color="Maroon">S</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="substut1.html#K38">CQC-Sub-WFF</a>  &amp; <font color="Maroon">S</font> <a href="sublemma.html#K2">`1</a>  <a href="hidden.html#R1">=</a>  <a href="cqc_lang.html#K9">VERUM</a>  &amp; <font color="Maroon">S</font> <a href="substut1.html#K19">`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/>


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