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<a NAME="E1:17"/>
 <a href="qc_lang1.html#K8" title="QC_LANG1:func.8">QC-WFF</a>  is  <a href="qc_lang1.html#V1" title="QC_LANG1:attr.1">QC-closed</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="qc_lang1.html#D10" title="QC_LANG1:def.10">QC_LANG1:def 10</a></span>;<br/>
<a NAME="E2:17"/><span class="kw">then </span><span class="lab"><font color="Green" title="E17">A1</font></span>: 
 <a href="qc_lang1.html#K8" title="QC_LANG1:func.8">QC-WFF</a>  is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><span class="p2"><a href="mcart_1.html#K12" title="MCART_1:func.12">[:</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ,<a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> </span><a href="mcart_1.html#K12" title="MCART_1:func.12">:]</a></span> <a href="finseq_1.html#K13" title="FINSEQ_1:func.13">*</a> </span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="qc_lang1.html#D9" title="QC_LANG1:def.9">QC_LANG1:def 9</a></span>;<br/>
<a NAME="E3:17"/>
<span class="p1"><a href="mcart_1.html#K12" title="MCART_1:func.12">[:</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ,<a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> </span><a href="mcart_1.html#K12" title="MCART_1:func.12">:]</a></span> is  <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="card_4.html#T55" title="CARD_4:th.55">CARD_4:55</a></span>;<br/>
<a NAME="E4:17"/><span class="kw">then </span>
<span class="p1"><a href="mcart_1.html#K12" title="MCART_1:func.12">[:</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ,<a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> </span><a href="mcart_1.html#K12" title="MCART_1:func.12">:]</a></span> <a href="finseq_1.html#K13" title="FINSEQ_1:func.13">*</a>  is  <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="card_4.html#T65" title="CARD_4:th.65">CARD_4:65</a></span>;<br/>
<span class="kw">hence </span><a NAME="E5:17"/>
 <a href="qc_lang1.html#K8" title="QC_LANG1:func.8">QC-WFF</a>  is  <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:17"><span class="lab"><font color="Green" title="E17">A1</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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