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<b>consider </b><font color="Maroon" title="c1">Sub</font> being   <a href="substut1.html#NM1" title="SUBSTUT1:NM.1">CQC_Substitution</a>, <font color="Maroon" title="c2">x</font> being   <a href="qc_lang1.html#NM3" title="QC_LANG1:NM.3">bound_QC-variable</a>;<br/>
<b>set </b><font color="Maroon" title="c3">B</font> = <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><a href="cqc_lang.html#K9" title="CQC_LANG:func.9">VERUM</a> ,<font color="Maroon" title="c1">Sub</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<font color="Maroon" title="c2">x</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>;<br/>
<a NAME="E2:36_1_1"/>
<span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><a href="cqc_lang.html#K9" title="CQC_LANG:func.9">VERUM</a> ,<font color="Maroon" title="c1">Sub</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="substut1.html#K16" title="SUBSTUT1:func.16">QC-Sub-WFF</a> 
 
<b>by </b><i><a class="ref" href="qc_lang1.html#D13" title="QC_LANG1:def.13">QC_LANG1:def 13</a>, <a class="ref" href="substut1.html#D16" title="SUBSTUT1:def.16">SUBSTUT1:def 16</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c4">B</font> = <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><a href="cqc_lang.html#K9" title="CQC_LANG:func.9">VERUM</a> ,<font color="Maroon" title="c1">Sub</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<font color="Maroon" title="c2">x</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><a href="substut1.html#K16" title="SUBSTUT1:func.16">QC-Sub-WFF</a> ,<a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</a> </span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> <b>by </b><i><a class="ref" href="zfmisc_1.html#T106" title="ZFMISC_1:th.106">ZFMISC_1:106</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c4">B</font>
;<br/>

<b>reconsider </b><font color="Maroon" title="c5">S</font> = <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><a href="cqc_lang.html#K9" title="CQC_LANG:func.9">VERUM</a> ,<font color="Maroon" title="c1">Sub</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="substut1.html#K16" title="SUBSTUT1:func.16">QC-Sub-WFF</a>  <b>by </b><i><a class="ref" href="qc_lang1.html#D13" title="QC_LANG1:def.13">QC_LANG1:def 13</a>, <a class="ref" href="substut1.html#D16" title="SUBSTUT1:def.16">SUBSTUT1:def 16</a></i>;<br/>
<a NAME="E5:36_1_1"/>
<font color="Maroon" title="c5">S</font> <a href="substut1.html#K18" title="SUBSTUT1:func.18">`1</a>  is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K7" title="CQC_LANG:func.7">CQC-WFF</a> 
 
<b>by </b><i><a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</a></i>;<br/>
<a NAME="E6:36_1_1"/><b>then </b>
<font color="Maroon" title="c5">S</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="substut1.html#K38" title="SUBSTUT1:func.38">CQC-Sub-WFF</a> 
 
<b>by </b><i><a class="ref" href="substut1.html#D39" title="SUBSTUT1:def.39">SUBSTUT1:def 39</a></i>;<br/>
<a NAME="E7:36_1_1"/><b>then </b>
<font color="Maroon" title="c4">B</font> <a href="substut1.html#K22" title="SUBSTUT1:func.22">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="substut1.html#K38" title="SUBSTUT1:func.38">CQC-Sub-WFF</a> 
 
<b>by </b><i><a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</a></i>;<br/>
<b>hence </b><a NAME="E8:36_1_1"/>
<font color="Maroon" title="c4">B</font> is <a href="sublemma.html#V1" title="SUBLEMMA:attr.1">CQC-WFF-like</a>
 <b>by </b><i><a class="ref" href="sublemma.html#D5" target="_self" title="SUBLEMMA:def.5">Def5</a></i>;<br/>


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