<?xml version="1.0"?>
<div class="add">

<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">  <a href="cqc_the3.html#R3" title="CQC_THE3:pred.3">|-</a>  <a href="cqc_the1.html#K4" title="CQC_THE1:func.4">TAUT</a> <font color="Maroon" title="c1">A</font></span><br/>

<a NAME="E1:12"/><span class="lab"><font color="Green" title="E13">A1</font></span>: 
(  <a href="cqc_the3.html#R3" title="CQC_THE3:pred.3">|-</a>  <a href="cqc_the1.html#K4" title="CQC_THE1:func.4">TAUT</a> <font color="Maroon" title="c1">A</font> iff  <a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K3" title="CQC_LANG:func.3">CQC-WFF</a> <font color="Maroon" title="c1">A</font></span>)</span> <a href="cqc_the3.html#R2" title="CQC_THE3:pred.2">|-</a>  <a href="cqc_the1.html#K4" title="CQC_THE1:func.4">TAUT</a> <font color="Maroon" title="c1">A</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cqc_the3.html#T15" target="_self" onmouseover="rs('cqc_the3/T15')" onmouseout="rh()">Th15</a></span>;<br/>
<a NAME="E2:12"/>
 <a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K3" title="CQC_LANG:func.3">CQC-WFF</a> <font color="Maroon" title="c1">A</font></span>)</span> <a href="cqc_the3.html#R2" title="CQC_THE3:pred.2">|-</a>  <a href="cqc_the1.html#K4" title="CQC_THE1:func.4">TAUT</a> <font color="Maroon" title="c1">A</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cqc_the3.html#T13" target="_self" onmouseover="rs('cqc_the3/T13')" onmouseout="rh()">Th13</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:12"/>
 <a href="cqc_the3.html#R3" title="CQC_THE3:pred.3">|-</a>  <a href="cqc_the1.html#K4" title="CQC_THE1:func.4">TAUT</a> <font color="Maroon" title="c1">A</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:12"><span class="lab"><font color="Green" title="E13">A1</font></span></a></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"> verum</span><br/>


</div>
