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<b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_3.html#K7" target="_self">RAT+</a> ;<br/>

<b>assume </b><a NAME="E1:108"/><i><font color="Green">E86</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>6</sub></font>
 ;<br/>

<b>assume </b><a NAME="E2:108"/><i><font color="Green">E87</font></i>: 
( <font color="Maroon">c<sub>5</sub></font> <a href="arytm_3.html#NR4" target="_self">&lt;</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>6</sub></font> <a href="arytm_3.html#NR4" target="_self">&lt;</a> <font color="Maroon">c<sub>4</sub></font> )
 ;<br/>

<a NAME="E3:108"/><b>then </b><i><font color="Green">E88</font></i>: 
( <font color="Maroon">c<sub>5</sub></font> <a href="arytm_3.html#R3" target="_self">&lt;='</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>6</sub></font> <a href="arytm_3.html#R3" target="_self">&lt;='</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>4</sub></font> )
 
;<br/>
<a NAME="E4:108"/>
(  <a href="arytm_3.html#K13" target="_self">{}</a>  <a href="arytm_3.html#R3" target="_self">&lt;='</a> <font color="Maroon">c<sub>5</sub></font> &amp;  <a href="arytm_3.html#K13" target="_self">{}</a>  <a href="arytm_3.html#R3" target="_self">&lt;='</a> <font color="Maroon">c<sub>6</sub></font> )
 
<b>by </b><i><a class="ref" href="arytm_3.html#T71" target="_self">Th71</a></i>;<br/>
<a NAME="E5:108"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="arytm_3.html#K13" target="_self">{}</a> 
 
<b>by </b><i><a class="txt" href="arytm_3.html#E2:108"><i><font color="Green">E87</font></i></a>, <a class="ref" href="arytm_3.html#T86" target="_self">Th86</a></i>;<br/>
<a NAME="E6:108"/><b>then </b>
( <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="arytm_3.html#K13" target="_self">{}</a>  &amp; <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="arytm_3.html#K13" target="_self">{}</a>  )
 
<b>by </b><i><a class="txt" href="arytm_3.html#E1:108"><i><font color="Green">E86</font></i></a>, <a class="ref" href="arytm_3.html#T54" target="_self">Th54</a></i>;<br/>
<a NAME="E7:108"/><b>then </b>
( <font color="Maroon">c<sub>5</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>6</sub></font> <a href="arytm_3.html#R3" target="_self">&lt;='</a> <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>6</sub></font> &amp; <font color="Maroon">c<sub>5</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>6</sub></font> )
 
<b>by </b><i><a class="txt" href="arytm_3.html#E3:108"><i><font color="Green">E88</font></i></a>, <a class="ref" href="arytm_3.html#T62" target="_self">Th62</a>, <a class="ref" href="arytm_3.html#T90" target="_self">Th90</a></i>;<br/>
<a NAME="E8:108"/><b>then </b>
( <font color="Maroon">c<sub>5</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>6</sub></font> <a href="arytm_3.html#NR4" target="_self">&lt;</a> <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>6</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>6</sub></font> <a href="arytm_3.html#R3" target="_self">&lt;='</a> <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>4</sub></font> )
 
<b>by </b><i><a class="txt" href="arytm_3.html#E2:108"><i><font color="Green">E87</font></i></a>, <a class="ref" href="arytm_3.html#T73" target="_self">Th73</a>, <a class="ref" href="arytm_3.html#T90" target="_self">Th90</a></i>;<br/>
<b>hence </b><a NAME="E9:108"/>
contradiction
 <b>by </b><i><a class="txt" href="arytm_3.html#E1:108"><i><font color="Green">E86</font></i></a></i>;<br/>


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