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<b>consider </b><font color="Maroon" title="c2">B</font> being    <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>, <font color="Maroon" title="c3">SQ</font> being    <a href="substut1.html#M1" title="SUBSTUT1:mode.1">second_Q_comp</a> of <font color="Maroon" title="c2">B</font><b> such that </b><br/><a NAME="E2:57_1_1"/><i><font color="Green" title="E32">A2</font></i>: 
( <font color="Maroon" title="c1">A</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="c2">B</font>,<font color="Maroon" title="c3">SQ</font> &amp; <font color="Maroon" title="c2">B</font> is <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a> )
 <b>by </b><i><a class="txt" href="#E1:57"><i><font color="Green" title="E31">A1</font></i></a>, <a class="ref" href="substut1.html#D28" target="_self" title="SUBSTUT1:def.28">Def28</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c2">B</font> <a href="substut1.html#K22" title="SUBSTUT1:func.22">`1</a> 
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">B</font> being   <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> ex <font color="Olive" title="b2">SQ</font> being   <a href="substut1.html#M1" title="SUBSTUT1:mode.1">second_Q_comp</a> of <font color="Olive" title="b1">B</font> st <br/>( <font color="Maroon" title="c1">A</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="Olive" title="b1">B</font>,<font color="Olive" title="b2">SQ</font> &amp; <font color="Olive" title="b1">B</font> <a href="substut1.html#K22" title="SUBSTUT1:func.22">`1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">B</font> <a href="substut1.html#K22" title="SUBSTUT1:func.22">`1</a>  &amp; <font color="Olive" title="b1">B</font> is <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a> )</span><br/>

<b>thus </b><a NAME="E3:57_1_1"/>
 ex <font color="Olive" title="b1">B</font> being   <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> ex <font color="Olive" title="b2">SQ</font> being   <a href="substut1.html#M1" title="SUBSTUT1:mode.1">second_Q_comp</a> of <font color="Olive" title="b1">B</font> st <br/>( <font color="Maroon" title="c1">A</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="Olive" title="b1">B</font>,<font color="Olive" title="b2">SQ</font> &amp; <font color="Olive" title="b1">B</font> <a href="substut1.html#K22" title="SUBSTUT1:func.22">`1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">B</font> <a href="substut1.html#K22" title="SUBSTUT1:func.22">`1</a>  &amp; <font color="Olive" title="b1">B</font> is <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a> )
 <b>by </b><i><a class="txt" href="#E2:57_1_1"><i><font color="Green" title="E32">A2</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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