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<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="orders_2.html#L1">RelStr</a> ;<br/><b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/>



<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:24_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="waybel_6.html#K4">PRIME</a> <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="yellow_7.html#NK1" target="_self">opp</a> </span>)</span>
 ;<br/><a NAME="E2:24_1"/><b>then </b>
<font color="Maroon">x</font> <a href="lattice3.html#K8">~</a>  <a href="hidden.html#R2">in</a>  <a href="waybel_6.html#K4">PRIME</a> <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="yellow_7.html#NK1" target="_self">opp</a> </span>)</span>
 <b>by </b><i><a class="ref" href="lattice3.html#D6">LATTICE3:def 6</a></i>;<br/><a NAME="E3:24_1"/><b>then </b>
<font color="Maroon">x</font> <a href="lattice3.html#K8">~</a>  is <a href="waybel_6.html#V5">prime</a>
 <b>by </b><i><a class="ref" href="waybel_6.html#D7">WAYBEL_6:def 7</a></i>;<br/><b>hence </b><a NAME="E4:24_1"/>
<font color="Maroon">x</font> is <a href="waybel_6.html#V6">co-prime</a>
 <b>by </b><i><a class="ref" href="waybel_6.html#D8">WAYBEL_6:def 8</a></i>;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:24"/>
<font color="Maroon">x</font> is <a href="waybel_6.html#V6">co-prime</a>
 ;<br/>

<a NAME="E3:24"/><b>then </b>
<font color="Maroon">x</font> <a href="lattice3.html#K8">~</a>  is <a href="waybel_6.html#V5">prime</a>
 
<b>by </b><i><a class="ref" href="waybel_6.html#D8">WAYBEL_6:def 8</a></i>;<br/>
<a NAME="E4:24"/><b>then </b>
<font color="Maroon">x</font> <a href="lattice3.html#K8">~</a>  <a href="hidden.html#R2">in</a>  <a href="waybel_6.html#K4">PRIME</a> <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="yellow_7.html#NK1" target="_self">opp</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="waybel_6.html#D7">WAYBEL_6:def 7</a></i>;<br/>
<b>hence </b><a NAME="E5:24"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="waybel_6.html#K4">PRIME</a> <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="yellow_7.html#NK1" target="_self">opp</a> </span>)</span>
 <b>by </b><i><a class="ref" href="lattice3.html#D6">LATTICE3:def 6</a></i>;<br/>


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