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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="substut1.html#K16" target="_self">QC-Sub-WFF</a> ;<br/>



<b>assume </b><a NAME="E1:64"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="substut1.html#K19" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="substut1.html#K19" target="_self">`2</a> 
 ;<br/>

<a NAME="E2:64"/><b>then </b>
 <a href="substut1.html#K21" target="_self">Sub_&amp;</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> is <a href="substut1.html#V6" target="_self">Sub_conjunctive</a>
 
<b>by </b><i><a class="ref" href="substut1.html#T13" target="_self">Th13</a></i>;<br/>
<b>then consider </b><font color="Maroon">c<sub>3</sub></font> being    <a href="subset_1.html#M1">Element</a> of  <a href="substut1.html#K16" target="_self">QC-Sub-WFF</a> <b> such that </b><br/><a NAME="E4:64"/><i><font color="Green">E38</font></i>: 
(  <a href="substut1.html#K21" target="_self">Sub_&amp;</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="substut1.html#K21" target="_self">Sub_&amp;</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p1">(<span class="default"><a href="substut1.html#K29" target="_self">Sub_the_right_argument_of</a> <span class="p2">(<span class="default"><a href="substut1.html#K21" target="_self">Sub_&amp;</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="substut1.html#K29" target="_self">Sub_the_right_argument_of</a> <span class="p2">(<span class="default"><a href="substut1.html#K21" target="_self">Sub_&amp;</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="substut1.html#K19" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="substut1.html#K19" target="_self">`2</a>  )
 <b>by </b><i><a class="ref" href="substut1.html#D32" target="_self">Def32</a></i>;<br/>
<b>thus </b><a NAME="E5:64"/>
 <a href="substut1.html#K29" target="_self">Sub_the_right_argument_of</a> <span class="p1">(<span class="default"><a href="substut1.html#K21" target="_self">Sub_&amp;</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="substut1.html#E1:64"><i><font color="Green">E37</font></i></a>, <a class="txt" href="substut1.html#E4:64"><i><font color="Green">E38</font></i></a>, <a class="ref" href="substut1.html#T17" target="_self">Th17</a></i>;<br/>


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