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<b>let </b><font color="Maroon">x</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_2.html#K2">REAL+</a> ;<br/><b>let </b><font color="Maroon">y</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="E1:6"/>
<font color="Maroon">x</font> <a href="arytm_2.html#R1">&lt;='</a> <font color="Maroon">y</font>
 ;<br/>

<b>then consider </b><font color="Maroon">z</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_2.html#K2">REAL+</a> <b> such that </b><br/><a NAME="E3:6"/><i><font color="Green">E15</font></i>: 
<font color="Maroon">x</font> <a href="arytm_2.html#K7">+</a> <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> <font color="Maroon">y</font>
 <b>by </b><i><a class="ref" href="arytm_2.html#T10">ARYTM_2:10</a></i>;<br/>
<b>thus </b><a NAME="E4:6"/>
(  not <font color="Maroon">y</font> <a href="hidden.html#R1">=</a>  <a href="arytm_3.html#K13">{}</a>  or <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="arytm_3.html#K13">{}</a>  )
 <b>by </b><i>, <a class="ref" href="arytm_2.html#T6">ARYTM_2:6</a></i>;<br/>


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