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<b>let </b><font color="Maroon" title="c1">X</font>, <font color="Maroon" title="c2">Y</font>, <font color="Maroon" title="c3">Z</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</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">X</font> <a href="cqc_the3.html#R4" title="CQC_THE3:pred.4">|-|</a> <font color="Maroon" title="c2">Y</font> &amp; <font color="Maroon" title="c2">Y</font> <a href="cqc_the3.html#R4" title="CQC_THE3:pred.4">|-|</a> <font color="Maroon" title="c3">Z</font> implies <font color="Maroon" title="c1">X</font> <a href="cqc_the3.html#R4" title="CQC_THE3:pred.4">|-|</a> <font color="Maroon" title="c3">Z</font> )</span><br/>





<b>assume </b><b>that </b><br/><a NAME="E1:20"/><i><font color="Green" title="E20">A1</font></i>: 
<font color="Maroon" title="c1">X</font> <a href="cqc_the3.html#R4" title="CQC_THE3:pred.4">|-|</a> <font color="Maroon" title="c2">Y</font>
 <b>and </b><br/><a NAME="E2:20"/><i><font color="Green" title="E21">A2</font></i>: 
<font color="Maroon" title="c2">Y</font> <a href="cqc_the3.html#R4" title="CQC_THE3:pred.4">|-|</a> <font color="Maroon" title="c3">Z</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">X</font> <a href="cqc_the3.html#R4" title="CQC_THE3:pred.4">|-|</a> <font color="Maroon" title="c3">Z</font></span><br/>

<a NAME="E3:20"/><i><font color="Green" title="E22">A3</font></i>: 
<font color="Maroon" title="c1">X</font> <a href="cqc_the3.html#R2" title="CQC_THE3:pred.2">|-</a> <font color="Maroon" title="c2">Y</font>
 
<b>by </b><i><a class="txt" href="cqc_the3.html#E1:20"><i><font color="Green" title="E20">A1</font></i></a>, <a class="ref" href="cqc_the3.html#T18" target="_self" title="CQC_THE3:th.18">Th18</a></i>;<br/>
<a NAME="E4:20"/>
<font color="Maroon" title="c2">Y</font> <a href="cqc_the3.html#R2" title="CQC_THE3:pred.2">|-</a> <font color="Maroon" title="c3">Z</font>
 
<b>by </b><i><a class="txt" href="cqc_the3.html#E2:20"><i><font color="Green" title="E21">A2</font></i></a>, <a class="ref" href="cqc_the3.html#T18" target="_self" title="CQC_THE3:th.18">Th18</a></i>;<br/>
<a NAME="E5:20"/><b>then </b><i><font color="Green" title="E23">A4</font></i>: 
<font color="Maroon" title="c1">X</font> <a href="cqc_the3.html#R2" title="CQC_THE3:pred.2">|-</a> <font color="Maroon" title="c3">Z</font>
 
<b>by </b><i><a class="txt" href="cqc_the3.html#E3:20"><i><font color="Green" title="E22">A3</font></i></a>, <a class="ref" href="cqc_the3.html#T9" target="_self" title="CQC_THE3:th.9">Th9</a></i>;<br/>
<a NAME="E6:20"/><i><font color="Green" title="E24">A5</font></i>: 
<font color="Maroon" title="c2">Y</font> <a href="cqc_the3.html#R2" title="CQC_THE3:pred.2">|-</a> <font color="Maroon" title="c1">X</font>
 
<b>by </b><i><a class="txt" href="cqc_the3.html#E1:20"><i><font color="Green" title="E20">A1</font></i></a>, <a class="ref" href="cqc_the3.html#T18" target="_self" title="CQC_THE3:th.18">Th18</a></i>;<br/>
<a NAME="E7:20"/>
<font color="Maroon" title="c3">Z</font> <a href="cqc_the3.html#R2" title="CQC_THE3:pred.2">|-</a> <font color="Maroon" title="c2">Y</font>
 
<b>by </b><i><a class="txt" href="cqc_the3.html#E2:20"><i><font color="Green" title="E21">A2</font></i></a>, <a class="ref" href="cqc_the3.html#T18" target="_self" title="CQC_THE3:th.18">Th18</a></i>;<br/>
<a NAME="E8:20"/><b>then </b>
<font color="Maroon" title="c3">Z</font> <a href="cqc_the3.html#R2" title="CQC_THE3:pred.2">|-</a> <font color="Maroon" title="c1">X</font>
 
<b>by </b><i><a class="txt" href="cqc_the3.html#E6:20"><i><font color="Green" title="E24">A5</font></i></a>, <a class="ref" href="cqc_the3.html#T9" target="_self" title="CQC_THE3:th.9">Th9</a></i>;<br/>
<b>hence </b><a NAME="E9:20"/>
<font color="Maroon" title="c1">X</font> <a href="cqc_the3.html#R4" title="CQC_THE3:pred.4">|-|</a> <font color="Maroon" title="c3">Z</font>
 <b>by </b><i><a class="txt" href="cqc_the3.html#E5:20"><i><font color="Green" title="E23">A4</font></i></a>, <a class="ref" href="cqc_the3.html#T18" target="_self" title="CQC_THE3:th.18">Th18</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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