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<span class="kw">let </span><font color="Maroon" title="c1">A</font> be    <a href="qc_lang1.html#M1" title="QC_LANG1:mode.1">QC-alphabet</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">V</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="qc_lang1.html#K2" title="QC_LANG1:func.2">QC-variables</a> <font color="Maroon" title="c1">A</font></span>)</span> holds   <a href="qc_lang3.html#K4" title="QC_LANG3:func.4">Vars</a> (<span class="p1">(<span class="default"><a href="qc_lang2.html#K1" title="QC_LANG2:func.1">FALSUM</a> <font color="Maroon" title="c1">A</font></span>)</span>,<font color="Olive" title="b1">V</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">V</font> be   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="qc_lang1.html#K2" title="QC_LANG1:func.2">QC-variables</a> <font color="Maroon" title="c1">A</font></span>)</span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="qc_lang3.html#K4" title="QC_LANG3:func.4">Vars</a> (<span class="p1">(<span class="default"><a href="qc_lang2.html#K1" title="QC_LANG2:func.1">FALSUM</a> <font color="Maroon" title="c1">A</font></span>)</span>,<font color="Maroon" title="c2">V</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><br/>



<a NAME="E1:48"/>
 <a href="qc_lang2.html#K1" title="QC_LANG2:func.1">FALSUM</a> <font color="Maroon" title="c1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="qc_lang1.html#K13" title="QC_LANG1:func.13">'not'</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K12" title="QC_LANG1:func.12">VERUM</a> <font color="Maroon" title="c1">A</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="qc_lang2.html#D1" onmouseover="rs('qc_lang2/D1')" onmouseout="rh()">QC_LANG2:def 1</a></span>;<br/>
<span class="kw">hence </span> <a href="qc_lang3.html#K4" title="QC_LANG3:func.4">Vars</a> (<span class="p1">(<span class="default"><a href="qc_lang2.html#K1" title="QC_LANG2:func.1">FALSUM</a> <font color="Maroon" title="c1">A</font></span>)</span>,<font color="Maroon" title="c2">V</font>) = 
 <a href="qc_lang3.html#K4" title="QC_LANG3:func.4">Vars</a> (<span class="p1">(<span class="default"><a href="qc_lang1.html#K12" title="QC_LANG1:func.12">VERUM</a> <font color="Maroon" title="c1">A</font></span>)</span>,<font color="Maroon" title="c2">V</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="qc_lang3.html#T39" target="_self" onmouseover="rs('qc_lang3/T39')" onmouseout="rh()">Th39</a></span>
<br/>.= 
 <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="qc_lang3.html#E40"><span class="lab"><font color="Green" title="E22">Lm2</font></span></a></span>
;<br/> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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