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<b>let </b><font color="Maroon" title="c1">p</font>, <font color="Maroon" title="c2">q</font>, <font color="Maroon" title="c3">r</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> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">p</font> <a href="cqc_the3.html#R7" title="CQC_THE3:pred.7">&lt;==&gt;</a> <font color="Maroon" title="c2">q</font> &amp; <font color="Maroon" title="c2">q</font> <a href="cqc_the3.html#R7" title="CQC_THE3:pred.7">&lt;==&gt;</a> <font color="Maroon" title="c3">r</font> implies <font color="Maroon" title="c1">p</font> <a href="cqc_the3.html#R7" title="CQC_THE3:pred.7">&lt;==&gt;</a> <font color="Maroon" title="c3">r</font> )</span><br/>





<b>assume </b><b>that </b><br/><a NAME="E1:57"/><i><font color="Green" title="E46">A1</font></i>: 
<font color="Maroon" title="c1">p</font> <a href="cqc_the3.html#R7" title="CQC_THE3:pred.7">&lt;==&gt;</a> <font color="Maroon" title="c2">q</font>
 <b>and </b><br/><a NAME="E2:57"/><i><font color="Green" title="E47">A2</font></i>: 
<font color="Maroon" title="c2">q</font> <a href="cqc_the3.html#R7" title="CQC_THE3:pred.7">&lt;==&gt;</a> <font color="Maroon" title="c3">r</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">p</font> <a href="cqc_the3.html#R7" title="CQC_THE3:pred.7">&lt;==&gt;</a> <font color="Maroon" title="c3">r</font></span><br/>

<a NAME="E3:57"/><i><font color="Green" title="E48">A3</font></i>: 
<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> is <a href="cqc_the1.html#V2" title="CQC_THE1:attr.2">valid</a>
 
<b>by </b><i><a class="txt" href="#E1:57"><i><font color="Green" title="E46">A1</font></i></a>, <a class="ref" href="cqc_the3.html#T50" target="_self" title="CQC_THE3:th.50">Th50</a></i>;<br/>
<a NAME="E4:57"/><i><font color="Green" title="E49">A4</font></i>: 
<font color="Maroon" title="c2">q</font> <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">=&gt;</a> <font color="Maroon" title="c1">p</font> is <a href="cqc_the1.html#V2" title="CQC_THE1:attr.2">valid</a>
 
<b>by </b><i><a class="txt" href="#E1:57"><i><font color="Green" title="E46">A1</font></i></a>, <a class="ref" href="cqc_the3.html#T50" target="_self" title="CQC_THE3:th.50">Th50</a></i>;<br/>
<a NAME="E5:57"/><i><font color="Green" title="E50">A5</font></i>: 
<font color="Maroon" title="c2">q</font> <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">=&gt;</a> <font color="Maroon" title="c3">r</font> is <a href="cqc_the1.html#V2" title="CQC_THE1:attr.2">valid</a>
 
<b>by </b><i><a class="txt" href="#E2:57"><i><font color="Green" title="E47">A2</font></i></a>, <a class="ref" href="cqc_the3.html#T50" target="_self" title="CQC_THE3:th.50">Th50</a></i>;<br/>
<a NAME="E6:57"/><i><font color="Green" title="E51">A6</font></i>: 
<font color="Maroon" title="c3">r</font> <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">=&gt;</a> <font color="Maroon" title="c2">q</font> is <a href="cqc_the1.html#V2" title="CQC_THE1:attr.2">valid</a>
 
<b>by </b><i><a class="txt" href="#E2:57"><i><font color="Green" title="E47">A2</font></i></a>, <a class="ref" href="cqc_the3.html#T50" target="_self" title="CQC_THE3:th.50">Th50</a></i>;<br/>
<a NAME="E7:57"/><i><font color="Green" title="E52">A7</font></i>: 
<font color="Maroon" title="c1">p</font> <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">=&gt;</a> <font color="Maroon" title="c3">r</font> is <a href="cqc_the1.html#V2" title="CQC_THE1:attr.2">valid</a>
 
<b>by </b><i><a class="txt" href="#E3:57"><i><font color="Green" title="E48">A3</font></i></a>, <a class="txt" href="#E5:57"><i><font color="Green" title="E50">A5</font></i></a>, <a class="ref" href="lukasi_1.html#T43" title="LUKASI_1:th.43">LUKASI_1:43</a></i>;<br/>
<a NAME="E8:57"/>
<font color="Maroon" title="c3">r</font> <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">=&gt;</a> <font color="Maroon" title="c1">p</font> is <a href="cqc_the1.html#V2" title="CQC_THE1:attr.2">valid</a>
 
<b>by </b><i><a class="txt" href="#E4:57"><i><font color="Green" title="E49">A4</font></i></a>, <a class="txt" href="#E6:57"><i><font color="Green" title="E51">A6</font></i></a>, <a class="ref" href="lukasi_1.html#T43" title="LUKASI_1:th.43">LUKASI_1:43</a></i>;<br/>
<b>hence </b><a NAME="E9:57"/>
<font color="Maroon" title="c1">p</font> <a href="cqc_the3.html#R7" title="CQC_THE3:pred.7">&lt;==&gt;</a> <font color="Maroon" title="c3">r</font>
 <b>by </b><i><a class="txt" href="#E7:57"><i><font color="Green" title="E52">A7</font></i></a>, <a class="ref" href="cqc_the3.html#T50" target="_self" title="CQC_THE3:th.50">Th50</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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