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<b>let </b><font color="Maroon" title="c1">B</font> be  <a href="sublemma.html#V1" title="SUBLEMMA:attr.1">CQC-WFF-like</a>  <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>;<br/><b>let </b><font color="Maroon" title="c2">SQ</font> be    <a href="substut1.html#M1" title="SUBSTUT1:mode.1">second_Q_comp</a> of <font color="Maroon" title="c1">B</font>;<br/><b>let </b><font color="Maroon" title="c3">B1</font> be    <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>;<br/><b>let </b><font color="Maroon" title="c4">SQ1</font> be    <a href="substut1.html#M1" title="SUBSTUT1:mode.1">second_Q_comp</a> of <font color="Maroon" title="c3">B1</font>;<br/>







<b>assume </b><a NAME="E1:51"/><i><font color="Green" title="E39">A1</font></i>: 
( <font color="Maroon" title="c1">B</font> is <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a> &amp; <font color="Maroon" title="c3">B1</font> is <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a> &amp;  <a href="sublemma.html#K10" title="SUBLEMMA:func.10">CQCSub_All</a> <font color="Maroon" title="c1">B</font>,<font color="Maroon" title="c2">SQ</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="substut1.html#K24" title="SUBSTUT1:func.24">Sub_All</a> <font color="Maroon" title="c3">B1</font>,<font color="Maroon" title="c4">SQ1</font> )
 ;<br/>

<a NAME="E2:51"/><b>then </b>
 <a href="substut1.html#K24" title="SUBSTUT1:func.24">Sub_All</a> <font color="Maroon" title="c1">B</font>,<font color="Maroon" title="c2">SQ</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="substut1.html#K24" title="SUBSTUT1:func.24">Sub_All</a> <font color="Maroon" title="c3">B1</font>,<font color="Maroon" title="c4">SQ1</font>
 
<b>by </b><i><a class="ref" href="sublemma.html#D6" target="_self" title="SUBLEMMA:def.6">Def6</a></i>;<br/>
<b>hence </b><a NAME="E3:51"/>
( <font color="Maroon" title="c1">B</font> <a href="substut1.html#K23" title="SUBSTUT1:func.23">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">B1</font> <a href="substut1.html#K23" title="SUBSTUT1:func.23">`2</a>  &amp; <font color="Maroon" title="c2">SQ</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">SQ1</font> )
 <b>by </b><i><a class="txt" href="sublemma.html#E1:51"><i><font color="Green" title="E39">A1</font></i></a>, <a class="ref" href="sublemma.html#T36" target="_self" title="SUBLEMMA:th.36">Th36</a></i>;<br/>


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