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<b>let </b><font color="Maroon" title="c1">p</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>let </b><font color="Maroon" title="c2">X</font>, <font color="Maroon" title="c3">Y</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> ;<br/>





<b>assume </b><b>that </b><br/><a NAME="E1:3"/><i><font color="Green" title="E5">A1</font></i>: 
<font color="Maroon" title="c2">X</font> <a href="cqc_the1.html#R3" title="CQC_THE1:pred.3">|-</a> <font color="Maroon" title="c1">p</font>
 <b>and </b><br/><a NAME="E2:3"/><i><font color="Green" title="E6">A2</font></i>: 
<font color="Maroon" title="c2">X</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c3">Y</font>
 ;<br/>

<a NAME="E3:3"/><i><font color="Green" title="E7">A3</font></i>: 
 <a href="cqc_the1.html#K1" title="CQC_THE1:func.1">Cn</a> <font color="Maroon" title="c2">X</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="cqc_the1.html#K1" title="CQC_THE1:func.1">Cn</a> <font color="Maroon" title="c3">Y</font>
 
<b>by </b><i><a class="txt" href="cqc_the3.html#E2:3"><i><font color="Green" title="E6">A2</font></i></a>, <a class="ref" href="cqc_the1.html#T39" title="CQC_THE1:th.39">CQC_THE1:39</a></i>;<br/>
<a NAME="E4:3"/>
<font color="Maroon" title="c1">p</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cqc_the1.html#K1" title="CQC_THE1:func.1">Cn</a> <font color="Maroon" title="c2">X</font>
 
<b>by </b><i><a class="txt" href="cqc_the3.html#E1:3"><i><font color="Green" title="E5">A1</font></i></a>, <a class="ref" href="cqc_the1.html#D9" title="CQC_THE1:def.9">CQC_THE1:def 9</a></i>;<br/>
<b>hence </b><a NAME="E5:3"/>
<font color="Maroon" title="c3">Y</font> <a href="cqc_the1.html#R3" title="CQC_THE1:pred.3">|-</a> <font color="Maroon" title="c1">p</font>
 <b>by </b><i><a class="txt" href="cqc_the3.html#E3:3"><i><font color="Green" title="E7">A3</font></i></a>, <a class="ref" href="cqc_the1.html#D9" title="CQC_THE1:def.9">CQC_THE1:def 9</a></i>;<br/>


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