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

<b>let </b><font color="Maroon" title="c1">p</font>, <font color="Maroon" title="c2">q</font> be    <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> ;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:47"/><i><font color="Green" title="E41">A1</font></i>: 
<font color="Maroon" title="c1">p</font> is <a href="qc_lang1.html#V6" title="QC_LANG1:attr.6">closed</a>
 <b>and </b><br/><a NAME="E2:47"/><i><font color="Green" title="E42">A2</font></i>: 
<font color="Maroon" title="c1">p</font> <a href="cqc_the3.html#R1" title="CQC_THE3:pred.1">|-</a> <font color="Maroon" title="c2">q</font>
 ;<br/>

<a NAME="E3:47"/>
<span class="p1">(<span class="default"><a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a> <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">CQC-WFF</a> </span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c1">p</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="cqc_the1.html#R3" title="CQC_THE1:pred.3">|-</a> <font color="Maroon" title="c2">q</font>
 
<b>by </b><i><a class="txt" href="cqc_the3.html#E2:47"><i><font color="Green" title="E42">A2</font></i></a>, <a class="ref" href="cqc_the3.html#D1" target="_self" title="CQC_THE3:def.1">Def1</a></i>;<br/>
<a NAME="E4:47"/><b>then </b>
 <a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a> <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">CQC-WFF</a>  <a href="cqc_the1.html#R3" title="CQC_THE1:pred.3">|-</a> <font color="Maroon" title="c1">p</font> <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">=&gt;</a> <font color="Maroon" title="c2">q</font>
 
<b>by </b><i><a class="txt" href="cqc_the3.html#E1:47"><i><font color="Green" title="E41">A1</font></i></a>, <a class="ref" href="cqc_the2.html#T96" title="CQC_THE2:th.96">CQC_THE2:96</a></i>;<br/>
<b>hence </b><a NAME="E5:47"/>
 <a href="cqc_the1.html#NR5" title="CQC_THE1:NR.5">|-</a> <font color="Maroon" title="c1">p</font> <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">=&gt;</a> <font color="Maroon" title="c2">q</font>
 <b>by </b><i><a class="ref" href="cqc_the1.html#D10" title="CQC_THE1:def.10">CQC_THE1:def 10</a></i>;<br/>


</div>
