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<b>let </b><font color="Maroon">c<sub>1</sub></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">c<sub>2</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="yellow_0.html#V4">full</a>  <a href="yellow_0.html#M1">SubRelStr</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><a NAME="E1:36"/><i><font color="Green">E20</font></i>: 
<font color="Maroon">c<sub>1</sub></font> is <a href="neckla_2.html#V1">N-free</a>
 ;<br/>

<b>assume </b><a NAME="E2:36"/>
not <font color="Maroon">c<sub>2</sub></font> is <a href="neckla_2.html#V1">N-free</a>
 ;<br/>

<a NAME="E3:36"/><b>then </b><i><font color="Green">E21</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="necklace.html#R2">embeds</a>  <a href="necklace.html#K4">Necklace</a> 4
 
<b>by </b><i><a class="ref" href="neckla_2.html#D1">NECKLA_2:def 1</a></i>;<br/>
<a NAME="E4:36"/>
<font color="Maroon">c<sub>1</sub></font> <a href="necklace.html#R2">embeds</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="neckla_3.html#T22" target="_self">Th22</a></i>;<br/>
<a NAME="E5:36"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> <a href="necklace.html#R2">embeds</a>  <a href="necklace.html#K4">Necklace</a> 4
 
<b>by </b><i><a class="txt" href="neckla_3.html#E3:36"><i><font color="Green">E21</font></i></a>, <a class="ref" href="necklace.html#T13">NECKLACE:13</a></i>;<br/>
<b>hence </b><a NAME="E6:36"/>
contradiction
 <b>by </b><i><a class="txt" href="neckla_3.html#E1:36"><i><font color="Green">E20</font></i></a>, <a class="ref" href="neckla_2.html#D1">NECKLA_2:def 1</a></i>;<br/>


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