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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> be    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_3.html#K7" target="_self">RAT+</a> ;<br/>





<b>given </b><font color="Maroon">c<sub>6</sub></font> being    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_3.html#K7" target="_self">RAT+</a> <b> such that </b><a NAME="E1:111"/><i><font color="Green">E87</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K11" target="_self">+</a> <font color="Maroon">c<sub>6</sub></font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="arytm_3.html#D13" target="_self">ARYTM_3:def 13</a><br/>

<b>assume </b><a NAME="E2:111"/>
<font color="Maroon">c<sub>4</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#K11" target="_self">+</a> <font color="Maroon">c<sub>5</sub></font>
 ;<br/>

<a NAME="E3:111"/><b>then </b>
<font color="Maroon">c<sub>6</sub></font> <a href="arytm_3.html#R3" target="_self">&lt;='</a> <font color="Maroon">c<sub>5</sub></font>
 
<b>by </b><i><a class="txt" href="arytm_3.html#E1:111"><i><font color="Green">E87</font></i></a>, <a class="ref" href="arytm_3.html#T83" target="_self">Th83</a></i>;<br/>
<b>hence </b><a NAME="E4:111"/>
ex <font color="Olive">b<sub>1</sub></font> being   <a href="subset_1.html#M1">Element</a> of  <a href="arytm_3.html#K7" target="_self">RAT+</a>  st <br/>( <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K11" target="_self">+</a> <font color="Olive">b<sub>1</sub></font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="arytm_3.html#R3" target="_self">&lt;='</a> <font color="Maroon">c<sub>5</sub></font> )
 <b>by </b><i><a class="txt" href="arytm_3.html#E1:111"><i><font color="Green">E87</font></i></a></i>;<br/>


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