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<b>consider </b><font color="Maroon" title="c2">x</font> being   <a href="qc_lang1.html#NM3" title="QC_LANG1:NM.3">bound_QC-variable</a>, <font color="Maroon" title="c3">F1</font> being   <a href="qc_lang1.html#NM8" title="QC_LANG1:NM.8">QC-formula</a><b> such that </b><br/><a NAME="E2:22_1_1"/><i><font color="Green" title="E23">A2</font></i>: 
<font color="Maroon" title="c1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="qc_lang2.html#K5" title="QC_LANG2:func.5">Ex</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">F1</font>
 <b>by </b><i><a class="txt" href="goedelcp.html#E1:22"><i><font color="Green" title="E22">A1</font></i></a>, <a class="ref" href="qc_lang2.html#D13" title="QC_LANG2:def.13">QC_LANG2:def 13</a></i>;<br/>
<a NAME="E3:22_1_1"/>
<font color="Maroon" title="c1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="qc_lang1.html#K12" title="QC_LANG1:func.12">'not'</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K14" title="QC_LANG1:func.14">All</a> <font color="Maroon" title="c2">x</font>,<span class="p2">(<span class="default"><a href="qc_lang1.html#K12" title="QC_LANG1:func.12">'not'</a> <font color="Maroon" title="c3">F1</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="goedelcp.html#E2:22_1_1"><i><font color="Green" title="E23">A2</font></i></a>, <a class="ref" href="qc_lang2.html#D5" title="QC_LANG2:def.5">QC_LANG2:def 5</a></i>;<br/>
<a NAME="E4:22_1_1"/><b>then </b>
 <a href="qc_lang1.html#K14" title="QC_LANG1:func.14">All</a> <font color="Maroon" title="c2">x</font>,<span class="p1">(<span class="default"><a href="qc_lang1.html#K12" title="QC_LANG1:func.12">'not'</a> <font color="Maroon" title="c3">F1</font></span>)</span> is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">CQC-WFF</a> 
 
<b>by </b><i><a class="ref" href="cqc_lang.html#T18" title="CQC_LANG:th.18">CQC_LANG:18</a></i>;<br/>
<a NAME="E5:22_1_1"/><b>then </b><i><font color="Green" title="E24">A3</font></i>: 
 <a href="qc_lang1.html#K12" title="QC_LANG1:func.12">'not'</a> <font color="Maroon" title="c3">F1</font> is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">CQC-WFF</a> 
 
<b>by </b><i><a class="ref" href="cqc_lang.html#T23" title="CQC_LANG:th.23">CQC_LANG:23</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c3">F1</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c3">F1</font> is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">CQC-WFF</a>  &amp;  ex <font color="Olive" title="b1">x</font> being  <a href="qc_lang1.html#NM3" title="QC_LANG1:NM.3">bound_QC-variable</a> st <font color="Maroon" title="c1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cqc_lang.html#K13" title="CQC_LANG:func.13">Ex</a> <font color="Olive" title="b1">x</font>,<font color="Maroon" title="c3">F1</font> )</span><br/>

<b>thus </b><a NAME="E6:22_1_1"/>
( <font color="Maroon" title="c3">F1</font> is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">CQC-WFF</a>  &amp;  ex <font color="Olive" title="b1">x</font> being  <a href="qc_lang1.html#NM3" title="QC_LANG1:NM.3">bound_QC-variable</a> st <font color="Maroon" title="c1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cqc_lang.html#K13" title="CQC_LANG:func.13">Ex</a> <font color="Olive" title="b1">x</font>,<font color="Maroon" title="c3">F1</font> )
 <b>by </b><i><a class="txt" href="goedelcp.html#E2:22_1_1"><i><font color="Green" title="E23">A2</font></i></a>, <a class="txt" href="goedelcp.html#E5:22_1_1"><i><font color="Green" title="E24">A3</font></i></a>, <a class="ref" href="cqc_lang.html#T18" title="CQC_LANG:th.18">CQC_LANG:18</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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