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<b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_2.html#K2">REAL+</a> ;<br/>



<b>assume </b><a NAME="E1:35"/><i><font color="Green">E27</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="arytm_3.html#K13">{}</a>  &amp; <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="arytm_3.html#K13">{}</a>  )
 ;<br/>

<a NAME="E2:35"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="arytm_2.html#R1">&lt;='</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="arytm_1.html#T6" target="_self">Th6</a></i>;<br/>
<a NAME="E3:35"/><b>then </b>
not <font color="Maroon">c<sub>3</sub></font> <a href="arytm_2.html#R1">&lt;='</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="txt" href="arytm_1.html#E1:35"><i><font color="Green">E27</font></i></a>, <a class="ref" href="arytm_1.html#T4" target="_self">Th4</a></i>;<br/>
<b>hence </b><font color="Maroon">c<sub>2</sub></font> <a href="arytm_1.html#K2" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font> = 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><a href="arytm_3.html#K13">{}</a> ,<span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="arytm_1.html#K1" target="_self">-'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span><a href="tarski.html#K4">]</a></span>
<b>by </b><i><a class="ref" href="arytm_1.html#D2" target="_self">Def2</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><a href="arytm_3.html#K13">{}</a> ,<font color="Maroon">c<sub>3</sub></font></span><a href="tarski.html#K4">]</a></span>
<b>by </b><i><a class="txt" href="arytm_1.html#E1:35"><i><font color="Green">E27</font></i></a>, <a class="txt" href="arytm_1.html#E17"><i><font color="Green">Lemma14</font></i></a></i>
;<br/><br/>


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